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Showing posts with label class 8. Show all posts

Wednesday, September 16, 2026

NCERT Worksheet Class 8 Maths Chapter 2 Power Play | 20 MCQs with Solutions | CBSE 2026-27

Class 8 Maths Chapter 2 Power Play 20 MCQs Worksheet CBSE 2026-27 New Syllabus Ganit Prakash

Class 8 Maths Chapter 2 Power Play - NCERT 2026-27 Ganit Prakash - 20 MCQs Worksheet

Welcome to Galaxy Coaching Classes! This is the NEW NCERT Ganit Prakash 2026-27 worksheet for Class 8 Maths Chapter 2 Power Play. This chapter covers Exponents, Powers with Negative Exponents, Laws of Exponents, and Scientific Notation. Perfect for CBSE students worldwide.

Board: CBSE | Class: 8 | Chapter: 2 Power Play | Book: Ganit Prakash 2026-27 | Type: MCQ Worksheet with Solutions

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Learning Objectives (As per NCERT 2026-27):
✓ Understand exponents and powers
✓ Laws: a^m × aⁿ = a^m+n, (a^m)ⁿ = a^mn, a⁰=1
✓ Negative exponents & Scientific Notation

Worksheet - Chapter 2 Power Play - 20 MCQs with Answers

Q1. 2³ = ?
(a) 6 (b) 8 (c) 9 (d) 16

Q2. 3² × 3³ = ?
(a) 3⁵ = 243 (b) 3⁶ (c) 9⁵ (d) 3

Q3. (2³)² = ?
(a) 2⁵ (b) 2⁶ = 64 (c) 2⁹ (d) 4⁶

Q4. Any non-zero number to power 0 is:
(a) 0 (b) 1 (c) Number itself (d) Undefined

Q5. 10⁻² = ?
(a) 100 (b) 0.01 (c) -20 (d) -100

Q6. 5⁻³ = ?
(a) 125 (b) 1/125 (c) -125 (d) -15

Q7. a^m ÷ aⁿ = ?
(a) a^m+n (b) a^m-n (c) a^mn (d) a^m/n

Q8. (3/4)⁻² = ?
(a) 9/16 (b) 16/9 (c) -9/16 (d) -16/9

Q9. Standard form of 0.000045 = ?
(a) 4.5×10⁴ (b) 4.5×10⁻⁵ (c) 45×10⁻⁵ (d) 4.5×10⁻⁶

Q10. 1.5 × 10³ = ?
(a) 1500 (b) 15 (c) 0.0015 (d) 150

Q11. (-2)³ = ?
(a) -8 (b) 8 (c) 6 (d) -6

Q12. (-2)⁴ = ?
(a) -16 (b) 16 (c) -8 (d) 8

Q13. 2⁰ + 3⁰ + 4⁰ = ?
(a) 0 (b) 1 (c) 3 (d) 9

Q14. If 2^x = 32, x = ?
(a) 4 (b) 5 (c) 6 (d) 3

Q15. (2×3)² = ?
(a) 2²×3² = 36 (b) 2×3² (c) 2²×3 (d) 5²

Q16. (1/2)³ = ?
(a) 3/2 (b) 1/8 (c) 1/6 (d) 8

Q17. 10⁶ ÷ 10⁴ = ?
(a) 10² = 100 (b) 10¹⁰ (c) 10²⁴ (d) 10

Q18. Which is larger: 2³ or 3²?
(a) 2³=8 (b) 3²=9 (c) Equal (d) None

Q19. a⁻ⁿ = ?
(a) -aⁿ (b) 1/aⁿ (c) aⁿ (d) 0

Q20. Scientific notation of 1500000 = ?
(a) 1.5×10⁶ (b) 15×10⁵ (c) 0.15×10⁷ (d) 1.5×10⁵

Answer Key - Chapter 2 Power Play

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

Detailed Solutions with Tricks

Q2. Trick: a^m × aⁿ = a^m+n. So 3²×3³ = 3⁵ = 243

Q3. Trick: (a^m)ⁿ = a^mn. (2³)² = 2⁶ = 64

Q5 & Q6. Negative Power: a⁻ⁿ = 1/aⁿ. So 10⁻² = 1/100 = 0.01 and 5⁻³ = 1/125

Q8. Flip Rule: (a/b)⁻ⁿ = (b/a)ⁿ. So (3/4)⁻² = (4/3)² = 16/9

Q13. Any number power 0 = 1. So 1+1+1=3

Q19. Most Important Formula: a⁻ⁿ = 1/aⁿ

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Next Chapter: Chapter 3 A Story of Numbers Worksheet | Previous: Chapter 1 A Square and A Cube Worksheet

Sunday, September 13, 2026

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

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

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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Tuesday, July 25, 2017

pythagorean triplet ll pythagoras triplet II ncert class 8 maths squares...

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.

A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: ... When a triangle's sides are a Pythagorean Triple it is a right angled triangle.