Easy Level Worksheet Questions

Part A: Subjective Questions

Note: Write the answers neatly on a sheet and submit them to your school subject teacher.

(1) Write the square root of 81.

Excellent! √81 = 9 because 9 × 9 = 81, making 81 a perfect square.

(2) Write the cube root of 64.

Perfect! ∛64 = 4 because 4 × 4 × 4 = 64, making 64 both a perfect square and perfect cube.

(3) Find the square root of 0.25.

Brilliant! √0.25 = 0.5 because 0.5 × 0.5 = 0.25, showing how square roots work with decimals.

(4) Which is the smallest 2-digit perfect square?

Outstanding! 16 = 4² is the smallest 2-digit perfect square (1-digit perfect squares are 1, 4, 9).

(5) Write the cube of 5.

Awesome! 5³ = 5 × 5 × 5 = 125, making 125 a perfect cube with cube root 5.

Drag each number to its correct category:

(1) Find the square root of 121 by the prime factorization method.

Step 1: Prime factorization of 121 = 11 × = 11²22

Step 2: √121 = √(11²) =

Excellent! Prime factorization method shows that √121 = 11 since 11 appears as a perfect pair.

(2) Find the cube root of 343.

Step 1: Check if 343 is a perfect

Step 2: × × = 343, so ∛343 =

Perfect! You correctly identified that 343 = 7³, so the cube root is 7.

(3) Write the smallest number which should be multiplied to 20 to make it a perfect square.

Step 1: Prime factorization of 20 = 2²2¹ × 5¹5²

Step 2: To make perfect square, multiply by

So the smallest number =

Brilliant! Since 20 = 2² × 5¹, we need another 5 to make 5² for a perfect square.

(4) The volume of a cube is 729 cm³. Find the length of its edge.

Step 1: Volume of cube = ³ = cm³

Step 2: Edge = ∛729 = cm

Outstanding! Since 9³ = 729, the edge length is 9 cm, demonstrating cube root application in geometry.

Test your understanding with these multiple choice questions:

1. The square root of 0.0001 is:

(a) 0.1 (b) 0.01 (c) 0.001 (d) 1

Correct! √0.0001 = 0.01 because 0.01 × 0.01 = 0.0001.

2. The cube root of 1000 is:

(a) 1 (b) 10 (c) 100 (d) 1000

Correct! ∛1000 = 10 because 10 × 10 × 10 = 1000.

3. The smallest 3-digit perfect square is:

(a) 100 (b) 121 (c) 144 (d) 169

Correct! 100 = 10² is the smallest 3-digit perfect square.

4. The length of the side of a cube whose volume is 27 cm³ is:

(a) 9 cm (b) 3 cm (c) 6 cm (d) 12 cm

Correct! If volume = 27 cm³, then side = ∛27 = 3 cm.

5. Which of the following is NOT a perfect cube?

(a) 27 (b) 64 (c) 100 (d) 125

Correct! 100 is not a perfect cube. (27 = 3³, 64 = 4³, 125 = 5³).