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

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

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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

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

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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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worksheet class 9 maths chapter 4 Linear Equations in two variables

Chapter - 4

(Linear Equations in two variables)

Section - A

Q.1   The point (a, a) always lies on the line

(a) y = x              (b) y - axis          (c) x - axis           (d) x + y = 0

Q.2   The point (m, -m) always lies on the line.

(a)  X = m              (b) y = -m            (c) x + y = 0         (d) x = y

Q.3   If  x = -2 and y = 3 is a solution of the equation 3x – 5y = a then  value of a is

(a) 19                   (b) -21                 (c) -9                    (d) -18

Q.4   x = 3, y = -2 is a solution of the equation.

(a) x + y = 5                  (b) 3x – 2y = 11

(c) 4x – 3y = 18            (d) 3x + y = 5

Q.5   x = -5 can be written in the form of equation in two variable as

(a) x + 0.y + 5 = 0                  (b)0.x + y = -5

(c) 0.x + 0.y = -5                    (d) 0.x + 0.y = 5

Q.6   The linear equation 3x – 2y = 5 has

(a) a unique solution

(b) two solutions

(c) no solution

(d) infinitely many solutions.

Q.7   The equation of x-axis is

(a) x = k               (b) y = 0              (c) x = 0               (d) y = k

Q.8   Any point on the y-axis is of the form

(a) (x,y)                (b)(x,x)                 (c) (0,y)                (d)(x,0)

Section - B

Q.9   Draw the graph of the equation x – 2y = 0

Q.10 The cost of a pen is four times the cost of a pencil express the statement  as a linear equation in two variables.

Q.11 Write any four solutions for each of the following equations.

(a) 5x -2 = 0

(b) 3x + y = 7

Q.12 Find the value of a if (-1, 1) is a solution of the equation 3x – ay =5

Q.13 If (3,1) is a solution of the equation 3x + 2y = k,        find the value of k.

Q.14 Verify that x = 2, y = -1, is a solution of the linear equation 7x + 3y = 11

Q.15 Write one solution of each of the following equations

(a) 4x – 3y = 0

(b) 2x – y = 3

Q.16 The cost of 2 pencils is same as the cost of 5 erasers. Express the statement as a linear equation in two variables.

Section - C

Q.17 Give the geometrical representation of the equation y = 3 as an           equation.

(i) In one variable

(ii) In two variables

Q.18 Ramesh is driving his car with a uniform speed of 80 km/hr. Draw the time distance graph. Form the graph find the distance travelled by him in.

(i)1 & half hour (ii) 3 hours

Q.19 Draw the graph of each of the equations 2x -3y + 5 = 0     and 5x + 4y + 1 = 0  and find the coordinates of the point where the lines meet.

Q.20 Draw the graph of the equation 5x + 6y – 28 = 0 and check whether the point  (2,3) lies on the line.

Q.21 The taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 8 and forthe subsequent distance it is Rs. 5 per km. Taking the 

distance covered as  x km  and total fare as Rs. y, writes a linear 

equation for this information, and draw its graph.

Q.22 Write three solutions for the equation 7x – 8y = 13

Answer

Q.1   a       Q.2   c        Q.3   b       Q.4   c        Q.5   a       Q.6    d

Q.7   b       Q. 8  c        Q.19 (-1, 1) Q.20 Yes