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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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
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
