{"id":27079,"date":"2026-10-16T09:10:54","date_gmt":"2026-10-16T09:10:54","guid":{"rendered":"https:\/\/blog.oratrics.com\/?p=27079"},"modified":"2026-10-16T11:34:08","modified_gmt":"2026-10-16T11:34:08","slug":"mental-maths-for-class-12","status":"publish","type":"post","link":"https:\/\/oratrics.com\/blogs\/math-explorer-program\/mental-maths-for-class-12\/","title":{"rendered":"Mental Maths for Class 12 Complete guide for grade 12 students"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"27079\" class=\"elementor elementor-27079\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f24ee95 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"f24ee95\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-23c9ec0\" data-id=\"23c9ec0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-80585bb\" data-id=\"80585bb\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5698749 elementor-widget elementor-widget-heading\" data-id=\"5698749\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Mental Maths for Class 12 Complete guide for grade 12 students<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-36f1a82 elementor-widget elementor-widget-text-editor\" data-id=\"36f1a82\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Mental maths for Class 12 helps you calculate faster and more accurately because it replaces long written steps with shortcuts you can run in your head. In Grade 12, a slow calculation can cost you marks in Physics numericals, Accountancy, Statistics, or a JEE, CUET or NEET paper. This guide covers the techniques, practice questions and a worksheet you need, and explains how mental maths classes for Class 12 kids and a structured mental maths course for Class 12 kids can add structure to your practice.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f5cde5 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"0f5cde5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/demo.oratrics.com\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Book a Free Demo Today<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a4ef0aa elementor-widget elementor-widget-image\" data-id=\"a4ef0aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"647\" src=\"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/85dae89e-a447-45ea-8a6f-0d0e7030384f-1024x647.webp\" class=\"attachment-large size-large wp-image-27058\" alt=\"Mental maths for Class 11 students to improve calculation speed and problem-solving skills.\" srcset=\"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/85dae89e-a447-45ea-8a6f-0d0e7030384f-1024x647.webp 1024w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/85dae89e-a447-45ea-8a6f-0d0e7030384f-300x190.webp 300w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/85dae89e-a447-45ea-8a6f-0d0e7030384f-768x486.webp 768w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/85dae89e-a447-45ea-8a6f-0d0e7030384f-1536x971.webp 1536w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/85dae89e-a447-45ea-8a6f-0d0e7030384f.webp 1577w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-dd95625\" data-id=\"dd95625\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a46ab2f elementor-widget elementor-widget-html\" data-id=\"a46ab2f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\r\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=Poppins:wght@400;500;600;700&display=swap\" rel=\"stylesheet\">\r\n\r\n<div class=\"toc-wrapper\">\r\n    \r\n    \r\n    <div class=\"custom-toc\" id=\"custom-toc\">\r\n        <div class=\"toc-title\">\r\n            \u2630 Table of Contents\r\n        <\/div>\r\n        <ul class=\"toc-list\" id=\"toc-list\"><\/ul>\r\n    <\/div>\r\n    \r\n<\/div>\r\n\r\n<style>\r\n\/* Parent Fixed Wrapper holding both components together *\/\r\n.toc-wrapper {\r\n    position: fixed;\r\n    top: 150px; 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\r\n        overflow-y: visible;\r\n    }\r\n\r\n    .custom-toc .toc-title {\r\n        font-size: 25px;\r\n    }\r\n\r\n    .custom-toc .toc-list a {\r\n        font-size: 14px;\r\n    }\r\n}\r\n<\/style>\r\n\r\n<script>\r\ndocument.addEventListener(\"DOMContentLoaded\", function () {\r\n    const tocList = document.getElementById(\"toc-list\");\r\n    const h1 = document.querySelector(\"h1\");\r\n    const h2s = document.querySelectorAll(\"h2\");\r\n\r\n    function createId(text) {\r\n        return text.toLowerCase().replace(\/[^a-z0-9]+\/g, '-');\r\n    }\r\n\r\n    if (h1) {\r\n        if (!h1.id) {\r\n            h1.id = createId(h1.innerText);\r\n        }\r\n        const li = document.createElement(\"li\");\r\n        li.innerHTML = `<a href=\"#${h1.id}\">${h1.innerText}<\/a>`;\r\n        tocList.appendChild(li);\r\n    }\r\n\r\n    h2s.forEach(h2 => {\r\n        if (!h2.id) {\r\n            h2.id = createId(h2.innerText);\r\n        }\r\n        const li = document.createElement(\"li\");\r\n        li.classList.add(\"toc-h2\");\r\n        li.innerHTML = `<a href=\"#${h2.id}\">${h2.innerText}<\/a>`;\r\n        tocList.appendChild(li);\r\n    });\r\n});\r\n<\/script>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ca48162 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"ca48162\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7d12468\" data-id=\"7d12468\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-cb9b574\" data-id=\"cb9b574\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-98ccfb3 elementor-widget elementor-widget-heading\" data-id=\"98ccfb3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">What Is Mental Maths for Class 12?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-342e56c elementor-widget elementor-widget-text-editor\" data-id=\"342e56c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Mental maths for Class 12 is the ability to do senior-secondary calculations mentally, using tricks, patterns and approximation. It is not the counting-based arithmetic of primary school. It includes:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Quick percentage and ratio calculations<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Squares, cubes and their roots<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Fraction-to-decimal conversion<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Algebraic identities used as shortcuts<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Estimation to check whether an answer is reasonable<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">Think of it as mental arithmetic for senior students: the same arithmetic you already know, done with less effort and more confidence.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-385e5ea\" data-id=\"385e5ea\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a55c9d9 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"a55c9d9\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7c4914b\" data-id=\"7c4914b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-082a5f3\" data-id=\"082a5f3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1e2cd87 elementor-widget elementor-widget-heading\" data-id=\"1e2cd87\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Why Mental Maths Matters for Grade 12 Students\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3ea223a elementor-widget elementor-widget-text-editor\" data-id=\"3ea223a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Mental maths matters in Grade 12 because almost every subject now needs quick numbers inside bigger problems. Calculus, probability, physics, chemistry and economics all hide arithmetic inside the main concept.<\/span><\/p><p><span style=\"font-weight: 400;\">Here is what regular practice improves:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Speed:<\/b><span style=\"font-weight: 400;\"> you spend less time on arithmetic and more on the actual concept.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Accuracy:<\/b><span style=\"font-weight: 400;\"> fewer written steps means fewer places to slip.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Numerical confidence:<\/b><span style=\"font-weight: 400;\"> numbers stop feeling like an obstacle.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Estimation:<\/b><span style=\"font-weight: 400;\"> you spot impossible answers before you move on.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Exam stamina:<\/b><span style=\"font-weight: 400;\"> you finish with time left to review.<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-6830d5a\" data-id=\"6830d5a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4760777 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"4760777\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-bc7924c\" data-id=\"bc7924c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-510e4cc\" data-id=\"510e4cc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fb21f98 elementor-widget elementor-widget-heading\" data-id=\"fb21f98\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Important Mental Maths Skills for Class 12<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4c95a46 elementor-widget elementor-widget-text-editor\" data-id=\"4c95a46\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<table><tbody><tr><td><p><b>Skill<\/b><\/p><\/td><td><p><b>Where It Helps<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Percentages and ratios<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Commerce, Statistics, data interpretation<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Squares, cubes, roots<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Algebra, Physics, Coordinate Geometry<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Fractions and decimals<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Probability, Chemistry, Economics<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Powers and exponents<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Calculus, logarithms, Physics<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Approximation<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Checking answers, entrance exam MCQs<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Memorised constants<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Trigonometry, Physics, Chemistry<\/span><\/p><\/td><\/tr><\/tbody><\/table>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-0dff29e\" data-id=\"0dff29e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ad659b8 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"ad659b8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5cfc0a4\" data-id=\"5cfc0a4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-6afa629\" data-id=\"6afa629\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ee07a98 elementor-widget elementor-widget-heading\" data-id=\"ee07a98\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Mental Maths for Class 12 Addition and Subtraction\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f6dca1 elementor-widget elementor-widget-text-editor\" data-id=\"0f6dca1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Fast addition and subtraction in Class 12 work best when you break numbers into friendly parts and move left to right. Written column methods feel safe, but they are slower for multi-step problems.<\/span><\/p><p><b>Technique 1: Split and add (left to right)<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Calculate 478 + 356.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Keep 478 and add 300 \u2192 778<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add 50 \u2192 828<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add 6 \u2192 <\/span><b>834<\/b><\/li><\/ol><p><b>Technique 2: Round and adjust<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Calculate 697 + 248.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Round 697 to 700<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">700 + 248 = 948<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Subtract the 3 you added \u2192 <\/span><b>945<\/b><\/li><\/ol><p><b>Technique 3: Subtract from a base number<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Calculate 1000 \u2212 637.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Take each digit from 9, and the last from 10: 6\u21923, 3\u21926, 7\u21923<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Read the result: <\/span><b>363<\/b><\/li><\/ol><p><b>Technique 4: Compensation in subtraction<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Calculate 2004 \u2212 1876.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add 124 to 1876 to reach 2000<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Add 4 more to reach 2004<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Total difference: 124 + 4 = <\/span><b>128<\/b><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5642db1\" data-id=\"5642db1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4bf07bc elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"4bf07bc\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-05fa05f\" data-id=\"05fa05f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-baf0180\" data-id=\"baf0180\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b79a842 elementor-widget elementor-widget-heading\" data-id=\"b79a842\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Mental Multiplication Techniques\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f9b1aa1 elementor-widget elementor-widget-text-editor\" data-id=\"f9b1aa1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Mental multiplication gets easier when you break one number into parts or use a near-round base. Pick the method that makes the numbers simplest.<\/span><\/p><p><b>Distributive method<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 47 \u00d7 12<\/span><\/p><p><span style=\"font-weight: 400;\">47 \u00d7 10 = 470<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\"> 47 \u00d7 2 = 94<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\"> Total = 470 + 94 = <\/span><b>564<\/b><\/p><p><b>Near-100 trick<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 99 \u00d7 37<\/span><\/p><p><span style=\"font-weight: 400;\">99 \u00d7 37 = (100 \u2212 1) \u00d7 37 = 3700 \u2212 37 = <\/span><b>3663<\/b><\/p><p><b>Multiplying by 25<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 48 \u00d7 25<\/span><\/p><p><span style=\"font-weight: 400;\">Multiply by 100 and divide by 4: 4800 \u00f7 4 = <\/span><b>1200<\/b><\/p><p><b>Multiplying by 5<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 64 \u00d7 5<\/span><\/p><p><span style=\"font-weight: 400;\">Halve 64 and multiply by 10: 32 \u00d7 10 = <\/span><b>320<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2bd278d\" data-id=\"2bd278d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-208dc74 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"208dc74\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-de228b8\" data-id=\"de228b8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e3ff428\" data-id=\"e3ff428\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3e57d26 elementor-widget elementor-widget-heading\" data-id=\"3e57d26\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Quick Division Methods<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9bedd3e elementor-widget elementor-widget-text-editor\" data-id=\"9bedd3e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Quick division works by turning a hard divisor into an easy one. Multiply or divide both numbers by the same factor.<\/span><\/p><p><b>Dividing by 25<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 625 \u00f7 25<\/span><\/p><p><span style=\"font-weight: 400;\">Multiply both by 4: 2500 \u00f7 100 = <\/span><b>25<\/b><\/p><p><b>Dividing by 15<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 1440 \u00f7 15<\/span><\/p><p><span style=\"font-weight: 400;\">Double both numbers: 2880 \u00f7 30 = <\/span><b>96<\/b><\/p><p><b>Divisibility checks<\/b><span style=\"font-weight: 400;\"> help you simplify fractions fast:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">By 3: digit sum divisible by 3<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">By 9: digit sum divisible by 9<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">By 11: difference between alternate digit sums is 0 or a multiple of 11<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-f29eb2a\" data-id=\"f29eb2a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4697f96 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"4697f96\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c0f75de\" data-id=\"c0f75de\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4afb6b7\" data-id=\"4afb6b7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-80fc5f9 elementor-widget elementor-widget-heading\" data-id=\"80fc5f9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Percentage Calculation Tricks<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7cba889 elementor-widget elementor-widget-text-editor\" data-id=\"7cba889\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">The fastest way to find any percentage mentally is to build it from 10%, 5% and 1%. These are the building blocks for most Class 12 percentage problems.<\/span><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Calculate 15% of 480 mentally.<\/span><\/p><p><span style=\"font-weight: 400;\">10% of 480 = 48<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\"> 5% of 480 = 24<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\"> 15% = 48 + 24 = <\/span><b>72<\/b><\/p><p><b>Using fraction equivalents<\/b><\/p><table><tbody><tr><td><p><b>Percentage<\/b><\/p><\/td><td><p><b>Fraction<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">50%<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1\/2<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">25%<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1\/4<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">12.5%<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1\/8<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">20%<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1\/5<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">33.33%<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1\/3<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">16.67%<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1\/6<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Find 12.5% of 640.<\/span><\/p><p><span style=\"font-weight: 400;\">12.5% = 1\/8, so 640 \u00f7 8 = <\/span><b>80<\/b><\/p><p><b>Profit and loss example<\/b><\/p><p><span style=\"font-weight: 400;\">A book is bought for \u20b9800 and sold for \u20b9920. Find the profit percentage.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Profit = 920 \u2212 800 = \u20b9120<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">120 is 15% of 800 (10% = 80, 5% = 40)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Profit = <\/span><b>15%<\/b><\/li><\/ol><p><b>Percentage change example<\/b><\/p><p><span style=\"font-weight: 400;\">A value rises from 250 to 300. Find the percentage increase.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Increase = 50<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">50 is 1\/5 of 250<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Increase = <\/span><b>20%<\/b><\/li><\/ol><h4><b>Fractions and Decimal Calculations<\/b><\/h4><p><span style=\"font-weight: 400;\">Fractions and decimals become fast when you memorise a few conversions and use them as anchors. Most Class 12 problems reuse the same handful of values.<\/span><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Convert 3\/8 to a decimal.<\/span><\/p><p><span style=\"font-weight: 400;\">1\/8 = 0.125, so 3\/8 = 0.125 \u00d7 3 = <\/span><b>0.375<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Convert 7\/16 to a decimal.<\/span><\/p><p><span style=\"font-weight: 400;\">1\/16 = 0.0625, so 7\/16 = 0.0625 \u00d7 7 = <\/span><b>0.4375<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4913b5a\" data-id=\"4913b5a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f1e0c95 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"f1e0c95\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-063b7d1\" data-id=\"063b7d1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7cc1684\" data-id=\"7cc1684\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eec2d06 elementor-widget elementor-widget-heading\" data-id=\"eec2d06\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Adding fractions mentally<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4661521 elementor-widget elementor-widget-text-editor\" data-id=\"4661521\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><b>Example:<\/b><span style=\"font-weight: 400;\"> 2\/3 + 3\/4<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Common denominator = 12<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">8\/12 + 9\/12 = <\/span><b>17\/12<\/b><\/li><\/ol><p><b>Decimal multiplication<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 0.6 \u00d7 0.25<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Ignore the decimals: 6 \u00d7 25 = 150<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Count three decimal places in total \u2192 <\/span><b>0.150 = 0.15<\/b><\/li><\/ol><p><b>Decimal division<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 4.8 \u00f7 0.12<\/span><\/p><p><span style=\"font-weight: 400;\">Shift both decimals two places: 480 \u00f7 12 = <\/span><b>40<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-8de661c\" data-id=\"8de661c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b56791b elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"b56791b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-8c1309b\" data-id=\"8c1309b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b7e09e7\" data-id=\"b7e09e7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cc4a9ac elementor-widget elementor-widget-heading\" data-id=\"cc4a9ac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Ratio and Proportion Mental Maths\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3d3fb33 elementor-widget elementor-widget-text-editor\" data-id=\"3d3fb33\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Ratio problems are quick when you find the value of one part first. Add the parts, divide the total, then multiply.<\/span><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Divide \u20b9360 in the ratio 5 : 4.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Total parts = 5 + 4 = 9<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">One part = 360 \u00f7 9 = 40<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Shares = 5 \u00d7 40 = \u20b9200 and 4 \u00d7 40 = <\/span><b>\u20b9160<\/b><\/li><\/ol><p><b>Simplifying a ratio<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Simplify 18 : 24.<\/span><\/p><p><span style=\"font-weight: 400;\">Both divide by 6, so the ratio is <\/span><b>3 : 4<\/b><span style=\"font-weight: 400;\">.<\/span><\/p><h4><b>Squares and Square Roots<\/b><\/h4><p><span style=\"font-weight: 400;\">Squares are fastest through patterns rather than multiplication. Square roots are fastest through the last digit and a range check.<\/span><\/p><p><b>Squares ending in 5<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 35\u00b2<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Take the first digit: 3<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply by the next number: 3 \u00d7 4 = 12<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Attach 25 \u2192 <\/span><b>1225<\/b><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-128ffb8\" data-id=\"128ffb8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1ab472a elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"1ab472a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2682665\" data-id=\"2682665\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-374dec4\" data-id=\"374dec4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f55f2fc elementor-widget elementor-widget-heading\" data-id=\"f55f2fc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Using a nearby round number\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a395f25 elementor-widget elementor-widget-text-editor\" data-id=\"a395f25\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Ratio problems are quick when you find the value of one part first. Add the parts, divide the total, then multiply.<\/span><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Divide \u20b9360 in the ratio 5 : 4.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Total parts = 5 + 4 = 9<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">One part = 360 \u00f7 9 = 40<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Shares = 5 \u00d7 40 = \u20b9200 and 4 \u00d7 40 = <\/span><b>\u20b9160<\/b><\/li><\/ol><p><b>Simplifying a ratio<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Simplify 18 : 24.<\/span><\/p><p><span style=\"font-weight: 400;\">Both divide by 6, so the ratio is <\/span><b>3 : 4<\/b><span style=\"font-weight: 400;\">.<\/span><\/p><h4><b>Squares and Square Roots<\/b><\/h4><p><span style=\"font-weight: 400;\">Squares are fastest through patterns rather than multiplication. Square roots are fastest through the last digit and a range check.<\/span><\/p><p><b>Squares ending in 5<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 35\u00b2<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Take the first digit: 3<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiply by the next number: 3 \u00d7 4 = 12<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Attach 25 \u2192 <\/span><b>1225<\/b><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-89118b7\" data-id=\"89118b7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-325b69a elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"325b69a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-f574ebc\" data-id=\"f574ebc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-154181c\" data-id=\"154181c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4247fb2 elementor-widget elementor-widget-heading\" data-id=\"4247fb2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Using a nearby round number<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-48064ef elementor-widget elementor-widget-text-editor\" data-id=\"48064ef\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><b>Example:<\/b><span style=\"font-weight: 400;\"> 68\u00b2<\/span><\/p><p><span style=\"font-weight: 400;\">68\u00b2 = (70 \u2212 2)\u00b2 = 4900 \u2212 280 + 4 = <\/span><b>4624<\/b><\/p><p><b>Finding square roots (perfect squares)<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> \u221a1296<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">30\u00b2 = 900 and 40\u00b2 = 1600, so the root lies between 30 and 40<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The number ends in 6, so the root ends in 4 or 6<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">35\u00b2 = 1225, which is less than 1296, so choose the higher option \u2192 <\/span><b>36<\/b><\/li><\/ol><p><b>Example:<\/b><span style=\"font-weight: 400;\"> \u221a7056<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">80\u00b2 = 6400 and 90\u00b2 = 8100, so the root lies between 80 and 90<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Ending 6 means the root ends in 4 or 6<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">85\u00b2 = 7225 is more than 7056, so choose the lower option \u2192 <\/span><b>84<\/b><\/li><\/ol><h4><b>Cubes and Cube Roots<\/b><\/h4><p><span style=\"font-weight: 400;\">Cube roots of perfect cubes are quick because the last digit of a cube points to the last digit of its root.<\/span><\/p><table><tbody><tr><td><p><b>Cube ends in<\/b><\/p><\/td><td><p><b>Root ends in<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">1<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">2<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">8<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">3<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">7<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">4<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">4<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">5<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">5<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">6<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">6<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">7<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">3<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">8<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">2<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">9<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">9<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">0<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">0<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><b>Example:<\/b><span style=\"font-weight: 400;\"> \u221b9261<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">20\u00b3 = 8000 and 30\u00b3 = 27000, so the root lies between 20 and 30<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The cube ends in 1, so the root ends in 1<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Answer: <\/span><b>21<\/b><\/li><\/ol><p><b>Calculating a cube:<\/b><span style=\"font-weight: 400;\"> 13\u00b3 = 13 \u00d7 13 \u00d7 13 = 169 \u00d7 13 = <\/span><b>2197<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-f5054b2\" data-id=\"f5054b2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e00f742 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e00f742\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d95b217\" data-id=\"d95b217\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ed331b2\" data-id=\"ed331b2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7bb55c3 elementor-widget elementor-widget-heading\" data-id=\"7bb55c3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Powers and Exponents<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fb2a109 elementor-widget elementor-widget-text-editor\" data-id=\"fb2a109\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Powers become easy when you apply index laws and remember a few base values. Remember: same base, add powers when multiplying.<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">2\u00b9\u2070 = <\/span><b>1024<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">2\u00b9\u00b2 = <\/span><b>4096<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">3\u2074 = <\/span><b>81<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">5\u00b3 \u00d7 2\u00b3 = (5 \u00d7 2)\u00b3 = 10\u00b3 = <\/span><b>1000<\/b><\/li><\/ul><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Simplify 2\u2075 \u00d7 2\u00b3.<\/span><\/p><p><span style=\"font-weight: 400;\">Add the powers: 2\u2078 = <\/span><b>256<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-586bd32\" data-id=\"586bd32\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fae2ec7 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"fae2ec7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2d191f4\" data-id=\"2d191f4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-8a78195\" data-id=\"8a78195\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bfc86af elementor-widget elementor-widget-heading\" data-id=\"bfc86af\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Algebraic Mental Calculation Techniques\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8b01c9e elementor-widget elementor-widget-text-editor\" data-id=\"8b01c9e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Algebraic identities turn hard arithmetic into easy arithmetic. Spotting the identity is the real skill.<\/span><\/p><p><b>Difference of squares: a\u00b2 \u2212 b\u00b2 = (a + b)(a \u2212 b)<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 52 \u00d7 48<\/span><\/p><p><span style=\"font-weight: 400;\">(50 + 2)(50 \u2212 2) = 2500 \u2212 4 = <\/span><b>2496<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Find 87\u00b2 \u2212 13\u00b2.<\/span><\/p><p><span style=\"font-weight: 400;\">(87 + 13)(87 \u2212 13) = 100 \u00d7 74 = <\/span><b>7400<\/b><\/p><p><b>Square of a sum: (a + b)\u00b2 = a\u00b2 + 2ab + b\u00b2<\/b><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> 103\u00b2<\/span><\/p><p><span style=\"font-weight: 400;\">10000 + 600 + 9 = <\/span><b>10609<\/b><\/p><p><b>Expanding quickly:<\/b><span style=\"font-weight: 400;\"> (x + 3)\u00b2 = x\u00b2 + 6x + 9<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4b56460\" data-id=\"4b56460\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-282f46a elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"282f46a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-86cd1ed\" data-id=\"86cd1ed\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ba4220d\" data-id=\"ba4220d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bd724e1 elementor-widget elementor-widget-heading\" data-id=\"bd724e1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Approximation and Estimation Methods<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-95c31fd elementor-widget elementor-widget-text-editor\" data-id=\"95c31fd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Estimation gives you a rough answer in seconds so you can catch big mistakes. It also lets you eliminate wrong options in multiple-choice questions.<\/span><\/p><p><b>Example:<\/b><span style=\"font-weight: 400;\"> Estimate 49.8 \u00d7 20.3.<\/span><\/p><p><span style=\"font-weight: 400;\">Round to 50 \u00d7 20 = <\/span><b>1000<\/b><span style=\"font-weight: 400;\"> (the actual value is about 1010.9)<\/span><\/p><p><b>Useful constants to memorise<\/b><\/p><table><tbody><tr><td><p><b>Value<\/b><\/p><\/td><td><p><b>Approximation<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">\u221a2<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1.414<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">\u221a3<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1.732<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">\u03c0<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">3.14 (or 22\/7)<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">log 2<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">0.301<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><span style=\"font-weight: 400;\">Estimating before solving takes about five seconds. It often saves a full redo.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ece5f09\" data-id=\"ece5f09\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e93c358 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e93c358\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-f1e4100\" data-id=\"f1e4100\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-48866ca\" data-id=\"48866ca\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5c478c6 elementor-widget elementor-widget-heading\" data-id=\"5c478c6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Mental Maths for Class 12 Addition Worksheet with Answers<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a14a568 elementor-widget elementor-widget-text-editor\" data-id=\"a14a568\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">This worksheet mixes the main skills from the guide. Try each question mentally first, then check your answers below.<\/span><\/p><p><b>Questions<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">8,764 + 2,358 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">5,000 \u2212 2,847 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">46 \u00d7 25 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">840 \u00f7 35 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find 18% of 350.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">3\/5 + 7\/10 = ? (give as a decimal)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">2.5 \u00d7 1.2 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">75\u00b2 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u221a1764 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">If 3x + 7 = 40, find x.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">97 \u00d7 103 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Estimate 598 \u00d7 11.9.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">4.8 \u00f7 0.16 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">12\u00b3 = ?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A product costs \u20b9600. Find the selling price at 15% profit.<\/span><\/li><\/ol><p><b>Answers<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><b>11,122<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>2,153<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>1,150<\/b><span style=\"font-weight: 400;\"> (46 \u00d7 100 \u00f7 4)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>24<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>63<\/b><span style=\"font-weight: 400;\"> (10% = 35, 8% = 28)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>1.3<\/b><span style=\"font-weight: 400;\"> (6\/10 + 7\/10 = 13\/10)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>3<\/b><span style=\"font-weight: 400;\"> (25 \u00d7 12 = 300, two decimal places = 3.00)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>5,625<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>42<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>x = 11<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>9,991<\/b><span style=\"font-weight: 400;\"> (100\u00b2 \u2212 3\u00b2)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>About 7,200<\/b><span style=\"font-weight: 400;\"> (600 \u00d7 12; actual \u2248 7,116)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>30<\/b><span style=\"font-weight: 400;\"> (480 \u00f7 16)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>1,728<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>\u20b9690<\/b><span style=\"font-weight: 400;\"> (10% = 60, 5% = 30, profit = 90)<\/span><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-0e8a078\" data-id=\"0e8a078\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e5f4d38 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e5f4d38\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-1ab2748\" data-id=\"1ab2748\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7a004e9\" data-id=\"7a004e9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1a841dd elementor-widget elementor-widget-heading\" data-id=\"1a841dd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Mental Maths Practice Questions for Class 12<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f93188 elementor-widget elementor-widget-text-editor\" data-id=\"0f93188\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Try these word-style questions to apply the techniques in realistic settings.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A jacket is marked \u20b91,200 with a 20% discount. What is the final price?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The ratio of boys to girls is 7 : 5 in a group of 240. How many are boys and girls?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Calculate 1.25 \u00d7 16.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find the value of 8^(2\/3).<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A population of 50,000 grows by 10% and then by 10% again. What is it now?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Convert 72 km\/h into m\/s.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Calculate 999\u00b2.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Write 1\/8 as a percentage.<\/span><\/li><\/ol><p><b>Answers:<\/b><span style=\"font-weight: 400;\"> 1) \u20b9960 \u00b7 2) 140 boys, 100 girls \u00b7 3) 20 \u00b7 4) 4 \u00b7 5) 60,500 (55,000 then 60,500) \u00b7 6) 20 m\/s \u00b7 7) 998,001 (1000\u00b2 \u2212 2000 + 1) \u00b7 8) 12.5%<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ead0334\" data-id=\"ead0334\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2d226cf elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"2d226cf\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-8d4fee4\" data-id=\"8d4fee4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d9cc5a4\" data-id=\"d9cc5a4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a4a4067 elementor-widget elementor-widget-heading\" data-id=\"a4a4067\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Mental Maths for Grade 12 Online<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e4988b5 elementor-widget elementor-widget-text-editor\" data-id=\"e4988b5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Mental maths for Grade 12 online works well because practice is flexible and feedback is quick. Students can fit short sessions around school, tuition and revision.<\/span><\/p><p><span style=\"font-weight: 400;\">What to look for in an online format:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Live or recorded explanations of <\/span><i><span style=\"font-weight: 400;\">why<\/span><\/i><span style=\"font-weight: 400;\"> a trick works<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Timed practice with instant feedback<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Progress tracking over weeks, not days<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A trainer who can correct habits, not just give answers<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">Online practice does not replace school learning. It adds a speed and confidence layer on top of it.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-530bebe\" data-id=\"530bebe\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7b93efe elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"7b93efe\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-12712e0\" data-id=\"12712e0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-a5f555f\" data-id=\"a5f555f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-92f1b83 elementor-widget elementor-widget-heading\" data-id=\"92f1b83\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Mental Maths Classes for Class 12 Kids<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e8cbb74 elementor-widget elementor-widget-text-editor\" data-id=\"e8cbb74\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Mental maths classes for Class 12 kids help most when they target gaps instead of repeating school lessons. A good class diagnoses where you lose time, then drills those exact areas.<\/span><\/p><p><span style=\"font-weight: 400;\">Typical focus areas:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Percentages, ratios and data-based calculations<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Algebraic shortcuts and identities<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Estimation for MCQ-heavy exams<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Building a daily practice habit<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-76c4fbc\" data-id=\"76c4fbc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-abbffd8 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"abbffd8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-33bc9bf\" data-id=\"33bc9bf\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c3fc17c\" data-id=\"c3fc17c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cff2bdf elementor-widget elementor-widget-heading\" data-id=\"cff2bdf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">How to Choose a Mental Maths Course for Class 12 Kids<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-28f03a9 elementor-widget elementor-widget-text-editor\" data-id=\"28f03a9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">A good mental maths course for Class 12 kids explains concepts, tracks progress and matches senior-level needs. Use this checklist:<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Level-appropriate content:<\/b><span style=\"font-weight: 400;\"> it should go beyond tables and basic tricks.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Concept before shortcut:<\/b><span style=\"font-weight: 400;\"> you should understand why a trick works.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Regular practice with feedback:<\/b><span style=\"font-weight: 400;\"> not just lectures.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Clear progress measurement:<\/b><span style=\"font-weight: 400;\"> timed tests, accuracy tracking.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Exam relevance:<\/b><span style=\"font-weight: 400;\"> link to boards and entrance papers.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Realistic promises:<\/b><span style=\"font-weight: 400;\"> be cautious of guaranteed score claims.<\/span><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4d859fc\" data-id=\"4d859fc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4cd3132 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"4cd3132\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2a0fea2\" data-id=\"2a0fea2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-701baed\" data-id=\"701baed\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-55ad48e elementor-widget elementor-widget-heading\" data-id=\"55ad48e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Benefits of Mental Math Course by Oratrics<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9475b45 elementor-widget elementor-widget-text-editor\" data-id=\"9475b45\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">A structured mental maths course helps students build calculation habits step by step, with guided practice and feedback. Here is how that structure supports learning, described in general terms:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Calculation speed:<\/b><span style=\"font-weight: 400;\"> regular timed practice builds fluency with common operations.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Numerical confidence:<\/b><span style=\"font-weight: 400;\"> repeated success with small calculations reduces hesitation.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Accuracy:<\/b><span style=\"font-weight: 400;\"> learning to estimate and verify helps catch careless errors.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Problem-solving:<\/b><span style=\"font-weight: 400;\"> choosing the right shortcut trains flexible thinking.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Logical thinking:<\/b><span style=\"font-weight: 400;\"> spotting patterns in numbers strengthens reasoning.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Exam efficiency:<\/b><span style=\"font-weight: 400;\"> faster arithmetic leaves more time for harder questions.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Time management:<\/b><span style=\"font-weight: 400;\"> students learn when to calculate, estimate or skip.<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">Results depend on consistent practice and individual effort. A course supports the habit; it does not replace it.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c8dbebb\" data-id=\"c8dbebb\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f933bdb elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"f933bdb\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-da76eac\" data-id=\"da76eac\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-bcc09ab\" data-id=\"bcc09ab\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-455bb0a elementor-widget elementor-widget-heading\" data-id=\"455bb0a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">How Mental Maths Helps in Board Exams<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b1f0774 elementor-widget elementor-widget-text-editor\" data-id=\"b1f0774\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Mental maths helps in board exams by saving time on intermediate steps and reducing arithmetic slips. Mathematics, Physics, Chemistry, Accountancy and Economics all include numerical work.<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Faster rough work in long numericals<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Quick verification of final answers<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Fewer calculation errors in multi-step problems<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">More time to revise before submitting<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c19a00e\" data-id=\"c19a00e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-409b490 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"409b490\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ca9ef17\" data-id=\"ca9ef17\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-09eaa86\" data-id=\"09eaa86\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-85a5188 elementor-widget elementor-widget-heading\" data-id=\"85a5188\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Common Mental Calculation Mistakes<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4101f91 elementor-widget elementor-widget-text-editor\" data-id=\"4101f91\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ul><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Skipping the estimate:<\/b><span style=\"font-weight: 400;\"> a ten-second check catches large errors.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Misplacing decimals:<\/b><span style=\"font-weight: 400;\"> count decimal places before and after.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Forgetting to adjust:<\/b><span style=\"font-weight: 400;\"> after \u201cround and adjust,\u201d add or subtract back.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Mixing up identities:<\/b><span style=\"font-weight: 400;\"> (a + b)\u00b2 is not a\u00b2 + b\u00b2.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Rushing the last digit:<\/b><span style=\"font-weight: 400;\"> many wrong answers are off only by the final step.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Memorising tricks without understanding:<\/b><span style=\"font-weight: 400;\"> this leads to misuse on unfamiliar numbers.<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-f90ae40\" data-id=\"f90ae40\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-54ff834 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"54ff834\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-6469c49\" data-id=\"6469c49\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e0d36d2\" data-id=\"e0d36d2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f0131f8 elementor-widget elementor-widget-heading\" data-id=\"f0131f8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Daily Mental Maths Practice Routine<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-98bf99f elementor-widget elementor-widget-text-editor\" data-id=\"98bf99f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">A short daily routine works better than occasional long sessions. Here is a simple 20-minute plan:<\/span><\/p><table><tbody><tr><td><p><b>Time<\/b><\/p><\/td><td><p><b>Activity<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">5 min<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Warm-up: squares, cubes, fraction conversions<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">10 min<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">One focus topic (e.g., percentages or algebraic shortcuts)<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">5 min<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Timed mixed quiz and error review<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><span style=\"font-weight: 400;\">Rotate the focus topic through the week and keep a log of mistakes.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e21babf\" data-id=\"e21babf\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-62d54a7 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"62d54a7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e144fdb\" data-id=\"e144fdb\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-41a12f0\" data-id=\"41a12f0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0436983 elementor-widget elementor-widget-heading\" data-id=\"0436983\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Daily Mental Maths Practice Routine<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-41e6ee7 elementor-widget elementor-widget-text-editor\" data-id=\"41e6ee7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">A short daily routine works better than occasional long sessions. Here is a simple 20-minute plan:<\/span><\/p><table><tbody><tr><td><p><b>Time<\/b><\/p><\/td><td><p><b>Activity<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">5 min<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Warm-up: squares, cubes, fraction conversions<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">10 min<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">One focus topic (e.g., percentages or algebraic shortcuts)<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">5 min<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Timed mixed quiz and error review<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><span style=\"font-weight: 400;\">Rotate the focus topic through the week and keep a log of mistakes.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-aa4335d\" data-id=\"aa4335d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-285cd79 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"285cd79\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-452f8fa\" data-id=\"452f8fa\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e6f0aae\" data-id=\"e6f0aae\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-54e9a87 elementor-widget elementor-widget-heading\" data-id=\"54e9a87\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Tips for Improving Calculation Speed and Accuracy<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f2bfcaa elementor-widget elementor-widget-text-editor\" data-id=\"f2bfcaa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Memorise squares up to 30 and cubes up to 15.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Learn fraction-decimal-percentage equivalents.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Always estimate first.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Work left to right instead of right to left.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Practise in short, timed bursts.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Review mistakes instead of only counting scores.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Use real numbers around you: bills, discounts, scores.<\/span><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5fe6c97\" data-id=\"5fe6c97\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4fb4d6a elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"4fb4d6a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-61eb236\" data-id=\"61eb236\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b7fa370\" data-id=\"b7fa370\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a45af5a elementor-widget elementor-widget-heading\" data-id=\"a45af5a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Conclusion<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-752ca5b elementor-widget elementor-widget-text-editor\" data-id=\"752ca5b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Mental maths for Class 12 is a practical skill that makes calculation faster, cleaner and less stressful. Start with one technique a week, use the worksheet above, and track your accuracy. If you want guided practice, a structured mental maths course for Class 12 kids can add feedback and routine. Steady practice, not shortcuts alone, is what builds lasting speed.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e632f8c\" data-id=\"e632f8c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e94a727 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e94a727\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-74de670\" data-id=\"74de670\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c765232\" data-id=\"c765232\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3e7b31e elementor-widget elementor-widget-heading\" data-id=\"3e7b31e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Frequently Asked Questions\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5f55177 elementor-widget elementor-widget-accordion\" data-id=\"5f55177\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9991\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-9991\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">What is mental maths for Class 12?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9991\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-9991\"><p><span style=\"font-weight: 400;\">It is solving percentages, fractions, squares, roots, ratios and algebraic expressions mentally, using shortcuts and estimation instead of long written steps.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9992\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-9992\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Is mental maths useful for Class 12 board exams?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9992\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-9992\"><p><span style=\"font-weight: 400;\">Yes. It saves time on numerical work and reduces arithmetic errors across Maths, Physics, Chemistry and commerce subjects.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9993\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-9993\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">How long does it take to see improvement?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9993\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-9993\"><p><span style=\"font-weight: 400;\">Many students notice better fluency within a few weeks of consistent daily practice, though this varies from person to person.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9994\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-9994\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Are online mental maths classes effective for Class 12?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9994\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-9994\"><p><span style=\"font-weight: 400;\">They can be, if they offer clear explanations, timed practice, feedback and progress tracking. Consistency matters more than format.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9995\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-9995\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">What topics should a Class 12 mental maths course cover?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9995\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-9995\"><p><span style=\"font-weight: 400;\">Percentages, ratios, fractions and decimals, squares and cubes, powers, algebraic identities, estimation and approximation.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9996\" class=\"elementor-tab-title\" data-tab=\"6\" role=\"button\" aria-controls=\"elementor-tab-content-9996\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Do I need to memorise a lot for mental maths?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9996\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"6\" role=\"region\" aria-labelledby=\"elementor-tab-title-9996\"><p><span style=\"font-weight: 400;\">A small core helps: squares up to 30, cubes up to 15, key fraction-decimal equivalents and a few constants. The rest is technique.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<script type=\"application\/ld+json\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"What is mental maths for Class 12?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">It is solving percentages, fractions, squares, roots, ratios and algebraic expressions mentally, using shortcuts and estimation instead of long written steps.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"Is mental maths useful for Class 12 board exams?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">Yes. 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