Class 8 Maths Chapter 1 A Square and A Cube Worksheet | 20 MCQs with Solutions | NCERT 2026-27 Ganit Prakash

NCERT Solutions & Worksheet Class 8 Maths Chapter 1 A Square and A Cube | 20 MCQs with Solutions | CBSE 2026-27 New Syllabus

Welcome to Galaxy Coaching Classes! As per the NEW NCERT book Ganit Prakash 2026-27, Class 8 Maths Chapter 1 is now A Square and A Cube (Old Rational Numbers is now Chapter 3). This worksheet has 20 MCQs with detailed solutions as per latest CBSE pattern.

Chapter: 1 A Square and A Cube | Class: 8 | Board: CBSE | Book: Ganit Prakash 2026-27 | Questions: 20 MCQs

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What you will learn: Squares, square roots, cubes, cube roots, patterns in squares/cubes, estimating roots - as per new NCERT.

Worksheet - 20 MCQs - Chapter 1 A Square and A Cube

1. What is the square of 12?
(a) 144 (b) 121 (c) 169 (d) 124

2. Which is a perfect square?
(a) 50 (b) 64 (c) 70 (d) 80

3. Square root of 169 is:
(a) 12 (b) 13 (c) 14 (d) 15

4. Square of an odd number is always:
(a) Even (b) Odd (c) Prime (d) None

5. How many natural numbers lie between 8² and 9²?
(a) 15 (b) 16 (c) 17 (d) 18

6. What is cube of 4?
(a) 16 (b) 32 (c) 64 (d) 48

7. Which is a perfect cube?
(a) 100 (b) 125 (c) 150 (d) 200

8. Cube root of 216 is:
(a) 6 (b) 7 (c) 8 (d) 9

9. What is 11²?
(a) 100 (b) 121 (c) 144 (d) 110

10. Smallest number by which 32 should be multiplied to make perfect square:
(a) 2 (b) 3 (c) 4 (d) 8

11. Square of 0.5 is:
(a) 0.25 (b) 0.5 (c) 2.5 (d) 0.05

12. Cube of -3 is:
(a) -9 (b) -27 (c) 27 (d) 9

13. Which number's square ends with 6?
(a) 12 (b) 14 (c) 18 (d) 24

14. √0.04 = ?
(a) 0.2 (b) 0.02 (c) 2 (d) 0.4

15. Smallest 3-digit perfect square is:
(a) 100 (b) 121 (c) 144 (d) 169

16. Cube root of 0.008 is:
(a) 0.2 (b) 0.02 (c) 2 (d) 0.8

17. If square ends with 5, cube ends with:
(a) 0 (b) 5 (c) 25 (d) 125

18. Estimate: √300 lies between:
(a) 17-18 (b) 15-16 (c) 10-11 (d) 20-21

19. 1³+2³+3³ = ?
(a) 36 (b) 27 (c) 35 (d) 30

20. Number of zeros at end of 100²?
(a) 2 (b) 3 (c) 4 (d) 1

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Answer Key

1-a, 2-b, 3-b, 4-b, 5-b, 6-c, 7-b, 8-a, 9-b, 10-a, 11-a, 12-b, 13-b, 14-a, 15-a, 16-a, 17-b, 18-a, 19-a, 20-c

Detailed Solutions with Tricks (New Syllabus)

5. Trick: Numbers between n² and (n+1)² = 2n. So between 8² and 9² = 2×8=16 numbers.

10. 32=2×2×2×2×2 = 2⁴×2. To make pairs, need one more 2. 32×2=64=8².

18. 17²=289, 18²=324, so √300 is between 17-18. Estimation is new in 2026-27 book.

19. Important Pattern for new book: Sum of cubes = (sum of numbers)². 1+8+27=36 and (1+2+3)²=36.

20. 100 has 2 zeros, square doubles zeros: 100²=10000 has 4 zeros.

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Next: Chapter 2 Power Play Worksheet | Also Read: Chapter 3 A Story of Numbers (Rational Numbers) Worksheet

NCERT Worksheet for Class 8 Maths Chapter 3 Rational Numbers - 20 MCQs with Solutions (2026-27)

Welcome to Galaxy Coaching Classes! This free worksheet is for CBSE Class 8 Maths Chapter 3 Rational Numbers as per the latest NCERT syllabus 2026-27. Perfect for practice before exams. All questions are MCQ type with detailed solutions at the end.

Class: 8 | Chapter: 3 Rational Numbers | Type: MCQ Worksheet | Total Questions: 20 | Board: CBSE Worldwide

Instructions:
- Each question has 4 options, only one is correct.
- Try to solve without seeing solutions first.
- Solutions with tricks are given at the end of this post.

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Worksheet - Chapter 3 Rational Numbers - 20 MCQs

1. Which of the following is a rational number?
(a) √3   (b) π   (c) 0/1   (d) None of these

2. The additive identity for rational numbers is:
(a) 1   (b) -1   (c) 0   (d) None

3. The multiplicative identity for rational numbers is:
(a) 0   (b) 1   (c) -1   (d) 2

4. The reciprocal of -3/7 is:
(a) 3/7   (b) 7/3   (c) -7/3   (d) 7/-3 is not allowed

5. Which of the following lies between 0 and -1?
(a) -2/3   (b) 2/3   (c) -3/2   (d) 3/2

6. The rational number that is equal to its own negative is:
(a) 1   (b) -1   (c) 0   (d) 2

7. Value of -2/3 + 4/3 = ?
(a) 2/3   (b) -2/3   (c) 6/3   (d) -6/3

8. Product of a rational number and its reciprocal is:
(a) 0   (b) 1   (c) -1   (d) Number itself

9. Which is greater? -3/4 or -2/3
(a) -3/4   (b) -2/3   (c) Both equal   (d) Cannot compare

10. 0 ÷ (-4/5) = ?
(a) 0   (b) -4/5   (c) -5/4   (d) Undefined

11. If x + 2/3 = 0, then x = ?
(a) 2/3   (b) -2/3   (c) 3/2   (d) -3/2

12. Rational number between 1/2 and 3/4 is:
(a) 5/8   (b) 1/4   (c) 1   (d) 4/5

13. -5/2 + ___ = -5/2. The blank is:
(a) 0   (b) 5/2   (c) -5/2   (d) 1

14. Associative property does NOT hold for which operation on rational numbers?
(a) Addition   (b) Multiplication   (c) Subtraction   (d) Both a and b

15. The standard form of -36/48 is:
(a) -3/4   (b) 3/4   (c) -9/12   (d) -6/8

16. How many rational numbers are there between any two rational numbers?
(a) 1   (b) 2   (c) Finite   (d) Infinite

17. (-3/5) × (5/-3) = ?
(a) 1   (b) -1   (c) 9/25   (d) -9/25

18. If a/b is a rational number, then b cannot be:
(a) 0   (b) 1   (c) -1   (d) 2

19. The additive inverse of 7/-9 is:
(a) 7/9   (b) -7/9   (c) 9/7   (d) -9/7

20. (1/2 + 1/3) + 1/4 = 1/2 + (1/3 + 1/4). This shows:
(a) Commutative property   (b) Associative property   (c) Distributive   (d) Closure

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Answer Key

1-c, 2-c, 3-b, 4-c, 5-a, 6-c, 7-a, 8-b, 9-b, 10-a, 11-b, 12-a, 13-a, 14-c, 15-a, 16-d, 17-a, 18-a, 19-a, 20-b

Detailed Solutions

12. Average = (1/2+3/4)/2 = 5/8. 15. -36/48 ÷12 = -3/4. 16. Infinite rationals between any two. 19. 7/-9 = -7/9, inverse = 7/9.

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