Students can also reach out to Sarthaks to get Important Questions for Class 8 Maths for all other chapters. Sarthaks eConnect is a platform that provides study materials for students. Multiple Choice Questions for Class 8 are given here. Each problem carries four options, in which one is the correct answer. You can solve the Class 8 Maths MCQ Questions of square and square roots with Answers for your extensive revision for exams.

Students have to find a solution for each problem and choose the correct answer. These important questions with solutions will definitely benefit all students with revision and mastering the topic. you will learn the concepts of square and square roots. There are many important questions given for the chapter that will give you an idea of what kind of question you can expect in exams.

Practice MCQ Question for Class 8 Maths chapter-wise

1. A perfect square number between 30 and 40 is

(a) 36
(b) 32
(c) 33
(d) 39

2. Find perfect square numbers between 50 and 60

(a) 50, 54
(b) 52,58
(c) 56,59
(d) None of the above

3. Which of the following is a perfect square number?

(a) 1067
(b) 7828
(c) 4333
(d) 625

4. Which of 132², 87², 72², and 209² would end with digit 1?

(a) 132²
(b) 87²
(c) 72²
(d) 209²

5. Which of 105², 216², 333², and 111² would end with digit 1?

(a) 105²
(b) 216²
(c) 333²
(d) 111²

6. What will be the number of zeros in the square of the number 60?

(a) 1
(b) 2
(c) 3
(d) 4

7. The square of which of the following numbers will be even? 11, 111, 1111, 112

(a) 11
(b) 111
(c) 1111
(d) 112

8. The square of which of the following numbers will be odd ? 10, 100, 1000, 99

(a) 10
(b) 100
(c) 1000
(d) 99

9. Write the correct answer from the given four options. How many natural numbers lie between 5² and 6²?

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

10. How many numbers lie between the squares of 20 and 21

(a) 10
(b) 40
(c) 5
(d) 60

11. How many non-square numbers lie between the pairs of numbers 100² and 101² :

(a) 200
(b) 400
(c) 500
(d) 600

12. How many non-square numbers lie between the pairs of numbers 90² and 91² :

(a) 200
(b) 400
(c) 180
(d) 240

13. What will be the unit digit of the squares of the number 81?

(a) 1
(b) 2
(c) 4
(d) 6

14. The unit digit in the square of the number 1333 is

(a) 3
(b) 6
(c) 9
(d) 1

15. The unit digit in the square of the number 166 is

(a) 22
(b) 34
(c) 36
(d) 28

16. Which of the following is not a Pythagorean triplet?

(a) 3, 4, 5
(b) 6, 8, 10
(c) 5, 12, 13
(d) 2, 3, 4

17. The square root of 441/961 is:

(a) 21/39
(b) 37/21
(c) 21/31
(d) 11/13

18. If M is a square number, then the next immediate square number is

(a) \(M+2\sqrt M+1\)
(b) M² + 2M
(c) M + 5
(d) none of these

19. If a square number ends in 6, the preceding figure is

(a) an odd number
(b) a composite number
(c) an even number
(d) a prime number

20. The smallest number by which 396 must be multiplied so that the product becomes a perfect square is:

(a) 5
(b) 11
(c) 3
(d) 2

21. A number added to its square gives 56. The number is:

(a) 12
(b) 9
(c) 8
(d) 7

22 .\(\sqrt{\frac{1}{16}+\frac{1}{9}}\) is 

(a) 5/12
(b) 7/12
(c) 3/12
(d) none of these

23. Which of the following will have 6 at the unit place?

(a) 19²
(b) 11²
(c) 24²
(d) 13²

24. The value of 9² – 1 is equal to:

(a) 81
(b) 80
(c) 79
(d) None of the above

25. The Pythagorean triples whose smallest number is 8:

(a) 8, 16 17
(b) 8, 17, 18
(c) 8, 15, 17
(d) 8, 15, 16

Answer:

 1. Answer: (a) 36

Explanation:  Since, 

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

Thus, 36 is a perfect square number between 30 and 40.

2. Answer: (d) None of the above

Explanation: By squaring, we get as 

1 → 1

2 → 4

3 → 9

4 → 16

5 → 25

6 → 36

7 → 49

8 → 64

From, this we can say that there is no perfect square between 50 and 60

3. Answer: (d) 625

Explanation: Perfect square numbers end with, 0, 1, 4, 5, 6, or 9 at the unit’s place.

4. Answer: (d) 209²

Explanation:  If a number has 1 or 9 in the unit’s place, then its square ends in 1.

5. Answer:(d) 111²

Explanation: If a number has 1 or 9 in the unit’s place, then its square ends in 1.

6. Answer: (b) 2

Explanation: In 60, the number of zero is 1

∴ Its square will have 2 zeros.

7. Answer: (d) 112

Explanation: ∵ 112 is even

∴ Its square will be even.

8. Answer: (d) 99

Explanation: ∵ 99 is odd

∴ Its square will be odd.

9. Answer: (b) 10

Explanation: Square of 5 = 25 and 

Square of 6 = 36 

Natural numbers lie between 25 and 36 = 26, 27, 28, 29, 30, 31, 32, 33, 34, 35.

10. Answer: (b) 40

Explanation:  20² = 400

21² = 441

∴number of numbers

=(441−400)−1

=40

11. Answer: (a) 200

Explanation:  Between 100² and 101². Here, n=100 

∴  n x 2 = 100 x 2 

= 200

∴ 200 non-square numbers lie between 100² and 101² .

12. Answer: (c) 180

Explanation:  Between 90² and 91²

Here, n=90

∴  2 x n = 2 x 90 or 180

∴  180 non-square numbers lie between 90 and 91.

13. Answer: (a) 1

Explanation:  1² = 1. So, the unit digit will be 1.

14. Answer: (c) 9

Explanation:  3² = 9. So, the unit digit will be 9.

15. Answer: (c) 36

Explanation:  6² = 36. So, the unit digit will be 36.

16. Answer: (d) 2, 3, 4

Explanation: 3² + 4² = 5² 

6² + 8² = 10² 

5² + 12² = 13² 

2² + 3² ≠ 4² is not a Pythagorean triplet.

17. Answer: (c) 21/31

Explanation: The square root of 441/961 is

\(\frac{\sqrt{144}}{\sqrt{961}}=\frac{21}{31}\)

18. Answer:  (a) \(M+2\sqrt M+1\)

Explanation:  \(M+2\sqrt M+1\)

Take M = 4, a Square number.

\(M+2\sqrt M+1\) = \(4+2\sqrt4+1\)

= 4 + 2 × 2 +1

= 9

19. Answer: (a) an odd number

Explanation: Let us take some square numbers ending with 6. 

Eg: 136,196,256,676,....

By observation, we can say that the preceding figure are odd numbers.

20. Answer: (b) 11

Explanation: 396 = 2 × 2 × 3 × 3 × 11

So 396 should be multiplied by 11 to make the product a perfect square.

21. Answer: (d) 7

Explanation: A number added to its square gives 56. Let the number be x.

Hence, 

x² +x = 56

⇒ x² + x − 56 = 0

⇒ x²  + 8x − 7x − 56 = 0

⇒ x(x+8)−7(x+8)=0

⇒ (x+8)(x−7) = 0

Hence, x=−8 or x=7

22. Answer: (a) 5/12

Explanation: \(\sqrt{\frac{1}{16}+\frac{1}{9}}\)

\(\sqrt{\frac{25}{144}}\)

= 5/12

23. Answer: (c) 24²

Explanation: 24² = 24 x 24 

= 576

24. Answer: (b) 80

Explanation: 9² - 1

= 81 – 1 

= 80

25. Answer: (c) 8, 15, 17

Explanation: The general form of Pythagorean triplets is 2m, m²-1, m²+1

Given, 2m = 8

So, m = 4

m² – 1

= 4² - 1

= 16-1 

= 15

m²+1

= 4² + 1

= 16+1 

= 17

Click here Practice MCQ Question for Squares and Square Roots Class 8