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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How to fill answer sheet of cbse board exam ll class 10 ll class 12 2024

 

How to fill answer sheet of cbse board exam ll class 10 ll class 12 2024

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