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Maths Worksheet for Class 6: Free Chapter-Wise with Answers

Every year around July, the same complaint comes up in parent-teacher meetings. “Class 5 mein toh 90% aaya tha, ab kya ho gaya?”

Nothing is wrong with the child. Class 6 is just a big jump. Integers come in. Prime factors, angles, constructions, patterns, all in one book. A kid who was comfortable till last March suddenly gets 14 out of 25 and has no idea where the marks went.

This is where a maths worksheet for Class 6 can help. Not as a miracle, just as a quick check. Ten questions, fifteen minutes, and you know which chapter is weak. Reading the same chapter for two hours won’t tell you that.

On this page you get one free worksheet for every chapter, with answers. After that there are the square tables children need all the time: 1 to 100, 1 to 70, 50 to 100 and 1 to 60. Print them or save the page, whatever suits you.

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Maths Worksheet for Class 6: Free Chapter-Wise with Answers
☰ Table of Contents

    Why Worksheets Work Better Than Rereading

    Most of us have done this. You read a solved example, it looks easy, you close the book feeling good. Then in the exam the numbers are different and your mind goes empty.

    That happens because reading an answer and finding an answer are two separate things. The exam checks only the second one. A worksheet makes the child do it. One sheet is about 15 to 20 minutes, so there’s no drama and no crying at the study table.

    It also shows the gap fast. If three of five fraction sums are wrong, you know what to do this Sunday. And when the child gets most of them right, you can see the face change. That helps more than any “beta, focus karo” speech.

    How to use it: solve in a notebook with the answers covered. Check once you finish. Next day, do only the wrong ones again. Two or three times in a week is enough.

    The chapters follow the latest NCERT Class 6 book, Ganita Prakash. If your school has a different board or an older book, some chapter names may not match exactly. The topics will mostly be the same.

    Chapter-Wise Maths Worksheet for Class 6 with Answers

    Chapter 1: Patterns in Mathematics

    1. What comes next in 3, 6, 9, 12?
    2. 2, 4, 8, 16, what is the next number?
    3. Find the next number: 1, 3, 6, 10.
    4. Look at 100, 90, 80, 70. What is the rule?
    5. Fill in the blank: 1, 1, 2, 3, 5, 8, __

    Answers: 1) 15 2) 32 3) 15 4) Subtract 10 every time 5) 13 (it’s the sum of the last two numbers)

    Chapter 2: Lines and Angles

    1. An angle of exactly 90° is called what?
    2. What name do we give to an angle bigger than 90° but smaller than 180°?
    3. Find the complement of 35°.
    4. What is the supplement of 65°?
    5. A ray has how many endpoints?

    Answers: 1) Right angle 2) Obtuse angle 3) 55° 4) 115° 5) One

    Chapter 3: Number Play

    1. You have the digits 3, 0, 7 and 5. Use each one once and make the biggest 4-digit number.
    2. Now make the smallest one.
    3. Which number comes just before 1000?
    4. Which number comes just after 9999?
    5. Round to the nearest hundred and estimate 498 + 302.

    Answers: 1) 7530 2) 3057 (a number can’t start with 0) 3) 999 4) 10000 5) About 800

    Chapter 4: Data Handling and Presentation

    1. In a tally chart, apples show |||| ||. How many apples are there?
    2. Find the mode of 2, 3, 3, 4, 3, 5.
    3. One symbol in a pictograph is 5 books. How many books do 6 symbols show?
    4. Count how many times 6 appears in 4, 6, 6, 8, 6, 9.
    5. How many times a value comes up is called its what?

    Answers: 1) 7 2) 3 3) 30 books 4) 3 times 5) Frequency

    Chapter 5: Prime Time

    1. Write the first five prime numbers.
    2. HCF of 12 and 18?
    3. LCM of 4 and 6?
    4. Is 91 a prime number? Give a reason.
    5. Write all the factors of 24.

    Answers: 1) 2, 3, 5, 7, 11 2) 6 3) 12 4) No. 91 = 7 × 13. Many kids say yes because it looks prime. 5) 1, 2, 3, 4, 6, 8, 12, 24

    Chapter 6: Perimeter and Area

    1. A rectangle is 12 cm long and 5 cm wide. Find the perimeter.
    2. Find the area of the same rectangle.
    3. One side of a square is 9 cm. Find its perimeter and area.
    4. A square has perimeter 40 cm. What is one side?
    5. Each side of an equilateral triangle is 7 cm. What is the perimeter?

    Answers: 1) 34 cm 2) 60 cm² 3) 36 cm and 81 cm² 4) 10 cm 5) 21 cm

    Chapter 7: Fractions

    1. 3/4 + 1/4 = ?
    2. Find 2/3 of 12.
    3. Solve 5/6 − 1/6 and write the answer in simplest form.
    4. Write a fraction equal to 1/2 with denominator 8.
    5. 3/5 or 2/3, which one is bigger?

    Answers: 1) 1 2) 8 3) 2/3 4) 4/8 5) 2/3 (3/5 = 9/15 and 2/3 = 10/15)

    Chapter 8: Playing with Constructions

    1. Which instrument do we use for drawing a circle?
    2. The radius of a circle is 3 cm. What is its diameter?
    3. A perpendicular bisector divides a line segment into how many equal parts?
    4. An angle bisector divides an angle into how many equal parts?
    5. What do we call the longest chord of a circle?

    Answers: 1) Compass 2) 6 cm 3) Two 4) Two 5) Diameter

    Chapter 9: Symmetry

    Write the number of lines of symmetry in each.

    1. Square
    2. Equilateral triangle
    3. Rectangle (not a square)
    4. Letter A
    5. Circle

    Answers: 1) 4 2) 3 3) 2 4) 1 5) Infinite, you can’t count them

    Chapter 10: The Other Side of Zero (Integers)

    1. Solve: −5 + 8
    2. Opposite of −7?
    3. −3 or −8, which is greater?
    4. Solve: 6 − 9
    5. Write in ascending order: 4, −2, 0

    Answers: 1) 3 2) 7 3) −3 4) −3 5) −2, 0, 4

    Square 1 to 100: The Full Table

    Squares are everywhere in school maths. Area needs them. Patterns need them. In Class 7 and 8 you need them for square roots, and later for algebra. A square is simply a number multiplied by itself. So 7² is 7 × 7, which is 49.

    If a child knows this table well, sums become much quicker. I’ve seen this many times with students who used to count on fingers.

    Number

    Square

    Number

    Square

    Number

    Square

    Number

    Square

    Number

    Square

    1

    1

    2

    4

    3

    9

    4

    16

    5

    25

    6

    36

    7

    49

    8

    64

    9

    81

    10

    100

    11

    121

    12

    144

    13

    169

    14

    196

    15

    225

    16

    256

    17

    289

    18

    324

    19

    361

    20

    400

    21

    441

    22

    484

    23

    529

    24

    576

    25

    625

    26

    676

    27

    729

    28

    784

    29

    841

    30

    900

    31

    961

    32

    1024

    33

    1089

    34

    1156

    35

    1225

    36

    1296

    37

    1369

    38

    1444

    39

    1521

    40

    1600

    41

    1681

    42

    1764

    43

    1849

    44

    1936

    45

    2025

    46

    2116

    47

    2209

    48

    2304

    49

    2401

    50

    2500

    51

    2601

    52

    2704

    53

    2809

    54

    2916

    55

    3025

    56

    3136

    57

    3249

    58

    3364

    59

    3481

    60

    3600

    61

    3721

    62

    3844

    63

    3969

    64

    4096

    65

    4225

    66

    4356

    67

    4489

    68

    4624

    69

    4761

    70

    4900

    71

    5041

    72

    5184

    73

    5329

    74

    5476

    75

    5625

    76

    5776

    77

    5929

    78

    6084

    79

    6241

    80

    6400

    81

    6561

    82

    6724

    83

    6889

    84

    7056

    85

    7225

    86

    7396

    87

    7569

    88

    7744

    89

    7921

    90

    8100

    91

    8281

    92

    8464

    93

    8649

    94

    8836

    95

    9025

    96

    9216

    97

    9409

    98

    9604

    99

    9801

    100

    10000

    Some small things help when you want to check an answer quickly. No perfect square ends in 2, 3, 7 or 8. If the number is even, its square is even, and if it’s odd, the square is odd. One more: take two squares next to each other and subtract. 36 − 25 = 11. 49 − 36 = 13. The difference is always an odd number and it goes up by 2 each time.

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    Square 1 to 70: A Quick Practice Sheet

    Most school tests don’t go beyond 70, so start here. Keep the table above covered while you solve.

    1. 13² = ?
    2. 17² = ?
    3. Square of 25?
    4. 36² = ?
    5. 45² = ?
    6. 64² = ?
    7. A square garden has each side 18 m. Find its area.
    8. Which is more, 29² or 30²? What is the difference?

    Answers: 1) 169 2) 289 3) 625 4) 1296 5) 2025 6) 4096 7) 324 m² 8) 30² is more (900 and 841), difference 59

    There’s a shortcut children really like. If a number ends with 5, multiply its tens digit by the next number and write 25 after it. For 45, do 4 × 5 = 20, then add 25 at the back. Answer: 2025. Check it with 25 and 65, it works.

    Square 1 to 70: A Quick Practice Sheet

    Most school tests don’t go beyond 70, so start here. Keep the table above covered while you solve.

    1. 13² = ?
    2. 17² = ?
    3. Square of 25?
    4. 36² = ?
    5. 45² = ?
    6. 64² = ?
    7. A square garden has each side 18 m. Find its area.
    8. Which is more, 29² or 30²? What is the difference?

    Answers: 1) 169 2) 289 3) 625 4) 1296 5) 2025 6) 4096 7) 324 m² 8) 30² is more (900 and 841), difference 59

    There’s a shortcut children really like. If a number ends with 5, multiply its tens digit by the next number and write 25 after it. For 45, do 4 × 5 = 20, then add 25 at the back. Answer: 2025. Check it with 25 and 65, it works.

    Square 50 to 100: Where Kids Get Scared

    After 50, numbers look big and many children simply stop trying. So here are the important ones together.

    Number

    Square

    Number

    Square

    50

    2500

    76

    5776

    55

    3025

    80

    6400

    60

    3600

    85

    7225

    65

    4225

    90

    8100

    70

    4900

    95

    9025

    75

    5625

    100

    10000

    If you forget one, make it yourself. For 53², split the number as 50 + 3. Then 50² is 2500, twice 50 into 3 is 300, and 3² is 9. Add all and you get 2809. It’s slow in the beginning. After a week or so it isn’t.

    Try these: 1) 52² 2) 58² 3) 61² 4) 99²
     Answers: 1) 2704 2) 3364 3) 3721 4) 9801

    Square 1 to 60: Fill in the Blanks

    These are the basic ones. When they are strong, the bigger squares stop looking scary. Don’t look at the table while you do this.

    1. 6² = __
    2. 9² = __
    3. 12² = __
    4. 15² = __
    5. 21² = __
    6. 24² = __
    7. 33² = __
    8. 40² = __
    9. 48² = __
    10. 56² = __

    Answers: 1) 36 2) 81 3) 144 4) 225 5) 441 6) 576 7) 1089 8) 1600 9) 2304 10) 3136

    One request. Please don’t make your child mug up sixty squares the night before the exam. It won’t stay in the head, and the child gets more stressed. Learn ten a day. Say them loudly, write them once, move ahead. Within two weeks it’s done.

    A Few Tips for Parents and Teachers

    Keep the sessions short. Twenty minutes with full attention is better than one hour with a sleepy child who is only guessing. When an answer is correct, ask “how did you get this?” The reply shows you if the child understood or just remembered it. Add two or three old questions in every new sheet, so earlier chapters don’t get forgotten. Appreciate the try on a difficult question, even if the answer is wrong. And use things from home. Cut a roti for fractions, count the floor tiles for area, look at the temperature on a winter morning for negative numbers.

    Conclusion

    A single maths worksheet for Class 6 won’t change everything in one week. But if your child does it regularly, difficult chapters slowly start feeling known, and that is already half the work done. Begin with the chapter your child runs away from. Check the answers together. Stick the squares table on the wall near the study desk. A little practice every day adds up, more than most people expect.

    Frequently Asked Questions

     The full textbook. That means patterns, lines and angles, number play, data handling, prime numbers, perimeter and area, fractions, constructions, symmetry and integers.

     They make area sums and patterns faster now. Later they help with square roots and algebra.

     Five to ten questions per chapter are enough for daily practice. Keep the longer papers for the time just before a test.

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