Test on Squares and Square roots Class 8 Mathematics

Class 8 Mathematics Test

Chapter 1: Squares and Square Roots

Time: 1 Hour

Maximum Marks: 30

Section A: MCQs (1 × 6 = 6 marks)

1. Which of the following is a perfect square?

(a) 154 (b) 256 (c) 720 (d) 243

2. A number ending with which digit cannot be a perfect square?

(a) 4 (b) 6 (c) 8 (d) 0

3. The square root of 121 is:

(a) 9 (b) 10 (c) 11 (d) 12

4. The square of an odd number is always:

(a) even (b) odd (c) multiple of 10 (d) zero

5. Which of the following numbers is NOT a perfect square?

(a) 144 (b) 169 (c) 200 (d) 225

6. The smallest number by which 9408 must be divided to make it a perfect square is:

(a) 2 (b) 3 (c) 5 (d) 7

Section B: Assertion–Reason (4 marks)

7. Assertion: Squares of even numbers are always even.

Reason: Even numbers are divisible by 2.

8. Assertion: A number ending in 7 cannot be a perfect square.

Reason: Squares only end in 0,1,4,5,6,9.

Section C: Short Answer (10 marks)

9. Check whether 720 is a perfect square.

10. Find the square root of 1156 by prime factorisation.

11. Find the smallest number by which 1100 must be multiplied to make it a perfect square.

12. Find the square root of 9801 using long division method.

13. Find the square root of 0.0081.

Section D: Long Answer (6 marks)

14. Find the square root of 99856 using long division method.

15. Find the least number which must be subtracted from 7581 to make it a perfect square

and find the square root.

Section E: Case Study (4 marks)

16. A gardener planted 1521 trees in rows such that rows = trees per row.

(a) Type of arrangement?

(b) Number of rows?

(c) Concept used?

(d) If trees = 1600, rows?

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