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Maths Worksheet for Class 7: Free Practice Sets with Answers

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Maths Worksheet for Class 7: Free Practice Sets with Answers

If your child is in Class 7, you have probably noticed that maths suddenly feels different. Fractions get trickier, letters start showing up in sums, and geometry asks for reasons, not just answers. That jump is normal. The good news is that regular practice fixes most of it.

This page gives you a complete maths worksheet for class 7 with five short practice sets and a full answer key at the end. Each set matches what is taught in the CBSE and NCERT Class 7 syllabus, and the same topics appear in most state boards and ICSE schools too. You can copy the questions onto paper, print the page, or solve them straight in a notebook.

You will also find a simple weekly study plan, common mistakes to watch for, and answers to questions parents and students ask us most.

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☰ Table of Contents

    Why Practice Worksheets Matter in Class 7

    Class 7 is the year when maths starts building on itself. Integers lead into algebra. Fractions lead into ratios and percentages. Triangles lead into the Pythagoras theorem. If one block is shaky, the next one wobbles too.

    A worksheet works because it is short, focused and has a clear finish line. Twenty minutes on one topic is far easier to stay with than “revise the whole chapter.” It also shows you exactly where the gaps are. If three out of five questions on fractions go wrong, you know what to fix this weekend.

    Teachers often say the same thing: students who solve a few questions daily do better in exams than those who cram the night before. A worksheet makes that daily habit easy.

    What Topics Does Class 7 Maths Cover?

    Here is a quick look at the main chapters, so you know what the practice sets below are based on:

    • Integers (adding, subtracting, multiplying and dividing negative numbers)
    • Fractions and decimals
    • Simple equations
    • Lines and angles
    • The triangle and its properties, including the Pythagoras theorem
    • Perimeter and area
    • Comparing quantities (ratio, percentage, profit and loss, simple interest)
    • Exponents and powers
    • Data handling

    Chapter names can vary slightly between boards, but the ideas are the same.

    Grade 7 Math Worksheet on Algebra and Geometry

    Algebra and geometry are where most students lose marks, so let us start there. Try each question before looking at the answer key.

    Worksheet 1: Simple Equations (Algebra)

    1. Simplify: 3x + 5x − 2x
    2. Solve: x + 7 = 15
    3. Solve: 3x − 4 = 11
    4. Solve: 2(y + 3) = 18
    5. A number increased by 9 gives 21. Find the number.
    6. Five times a number, minus 3, equals 22. Find the number.

    Tip: Whatever you do to one side of an equation, do to the other side. Think of it as a balanced scale.

    Worksheet 2: Lines, Angles and Triangles (Geometry)

    1. Two angles of a triangle are 50° and 60°. Find the third angle.
    2. Find the complement of 35°.
    3. Find the supplement of 110°.
    4. In a triangle, two interior opposite angles are 40° and 65°. Find the exterior angle.
    5. In an isosceles triangle, the angle between the two equal sides is 40°. Find the other two angles.
    6. A right-angled triangle has legs of 6 cm and 8 cm. Find the hypotenuse.

    Tip: Always draw a quick sketch. Half of geometry is just seeing what the question is describing.

    Year 7 Maths Practice Sheets for School

    If you are a teacher, a tutor or a parent who wants to build a routine, these sets cover the rest of the syllabus. They also work well as classroom warm-ups or homework. Students following the Year 7 curriculum in the UK, Singapore, Australia or the Gulf will find the same core topics here, though the wording can differ.

    Worksheet 3: Integers, Fractions and Decimals

    1. (−8) + 15
    2. (−12) − (−5)
    3. (−6) × (−4)
    4. 36 ÷ (−9)
    5. The temperature was 5°C and fell by 9°C. What is the new temperature?
    6. 2/3 + 3/4
    7. 5/6 − 1/3
    8. 3/5 × 10/9
    9. 7/8 ÷ 1/4
    10. 4.5 × 0.2

    Worksheet 4: Perimeter and Area

    1. Find the area of a rectangle with length 12 cm and breadth 7 cm.
    2. Find the circumference of a circle with radius 7 cm. (Use π = 22/7)
    3. Find the area of the same circle.
    4. Find the area of a parallelogram with base 10 cm and height 6 cm.
    5. Find the area of a triangle with base 9 cm and height 8 cm.

    Worksheet 5: Comparing Quantities and Exponents

    1. Find 25% of 240.
    2. Write the ratio 18 : 24 in its simplest form.
    3. A bag costs ₹500. It is sold at a 15% discount. What is the selling price?
    4. Find the simple interest on ₹2,000 at 5% per year for 3 years.
    5. Evaluate: 2⁵
    6. Simplify: 3² × 3³
    7. Simplify: 10³ ÷ 10¹
    8. Write 4,500 in standard form.

    Free Printable Math Worksheet for 7th Grade

    Want a paper copy? It takes under a minute:

    1. Select the worksheet you want and copy it into a blank document, or use your browser’s print option on this page.
    2. Leave some blank space under each question for working. Rough work is part of learning, so do not squeeze it.
    3. Keep the answer key separate. Print it on a different page, or simply do not scroll down until you finish.

    A few ways to use these sheets well:

    • Time it. Give 20 to 25 minutes for a worksheet of 5 to 10 questions. It builds exam speed.
    • Check, then redo. Mark your answers, then re-solve every wrong question from scratch the next day.
    • Say it out loud. Explaining a step to a parent or friend is one of the fastest ways to find out whether you really understand it.

    Answer Key

    Worksheet 1: Simple Equations

    1. 6x
    2. x = 8
    3. x = 5 (3x = 15)
    4. y = 6 (y + 3 = 9)
    5. 12
    6. 5 (5x = 25)

    Worksheet 2: Lines, Angles and Triangles

    1. 70° (angles of a triangle add up to 180°)
    2. 55°
    3. 70°
    4. 105° (exterior angle equals the sum of the two interior opposite angles)
    5. 70° and 70° (180° − 40° = 140°, then 140° ÷ 2)
    6. 10 cm (6² + 8² = 36 + 64 = 100, and the square root of 100 is 10)

    Worksheet 3: Integers, Fractions and Decimals

    1. 7
    2. −7
    3. 24
    4. −4
    5. −4°C
    6. 17/12, which is 1 5/12
    7. 1/2
    8. 2/3
    9. 7/2, which is 3 1/2
    10. 0.9

    Worksheet 4: Perimeter and Area

    1. 84 cm²
    2. 44 cm
    3. 154 cm²
    4. 60 cm²
    5. 36 cm²

    Worksheet 5: Comparing Quantities and Exponents

    1. 60
    2. 3 : 4
    3. ₹425 (discount is ₹75)
    4. ₹300
    5. 32
    6. 3⁵ = 243
    7. 10² = 100
    8. 4.5 × 10³

    Common Mistakes Class 7 Students Make

    After marking these sets, look for these patterns. They are the usual suspects.

    • Sign errors with integers. Students forget that a minus times a minus is a plus. Write the sign of the answer first, then multiply the numbers.
    • Adding fractions straight across. 2/3 + 3/4 is not 5/7. Find a common denominator first.
    • Moving terms without changing the sign. In equations, when a term crosses the equals sign, its sign flips.
    • Mixing up area and perimeter. Area is measured in square units (cm²). Perimeter is a length (cm).
    • Forgetting units. Marks are often lost for a perfectly correct number with no unit.
    • Using the wrong value of π. Check whether the question wants 22/7 or 3.14.

    A Simple Weekly Practice Plan

    You do not need hours every day. Consistency beats intensity.

    • Monday: One algebra worksheet (15 to 20 minutes)
    • Tuesday: Integers and fractions
    • Wednesday: Geometry and angle questions
    • Thursday: Mensuration (area and perimeter)
    • Friday: Comparing quantities and exponents
    • Weekend: Redo every question you got wrong during the week, then try five mixed questions

    This rhythm covers the whole syllabus roughly every week and a half, which is plenty for most students.

    Tips for Parents and Teachers

    If you are guiding a Class 7 student, a few small habits make a big difference:

    • Praise the effort and the method, not only the final answer.
    • Ask “how did you get that?” instead of just saying right or wrong.
    • Keep sessions short. Twenty focused minutes is better than an hour of frustration.
    • Connect maths to real life: discounts at a shop, the area of a room, the speed of a bus. Class 7 topics show up everywhere.
    • If a child is stuck on the same topic for several days, go back to the previous class level for a quick refresher. This is not a step backward. It is how solid foundations get built.

    Conclusion

    Maths in Class 7 is not about being a genius. It is about steady practice, checking your own mistakes and not skipping the basics. Use this maths worksheet for class 7 as a starting point: solve one set, mark it honestly, fix the errors, and move on to the next. A few weeks of that routine can change how a student feels about the subject.

    If you found these sets helpful, share the page with a classmate, a fellow parent or your child’s teacher. And if you would like more worksheets on a specific chapter, tell us which one and we will cover it next.

    Frequently Asked Questions

    Five to ten well-solved questions is enough. Quality matters more than quantity.

     Yes. The topics follow the NCERT Class 7 structure used by CBSE. It also suits ICSE and most state boards, since the core chapters are very similar.

    Do not worry. Go back to the chapter, read one worked example, and then try only the first two questions again. Build confidence step by step.

    Yes. The topics (integers, fractions, algebra, geometry, ratio and percentage) are standard across Year 7 and Grade 7 programmes, although some regions use different notation or units.

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