Maths Quiz for Class 8 Squares and Square Roots

Maths Quiz for Class 8 Squares and Square Roots

In this post, we are providing 20 online maths quiz questions for class 8 squares and square roots. Online maths quiz will take around 20 minutes to complete it.

Question 1: The square of which of the following numbers is even?

A) 31

B) 47

C) 78

D) 55

Explanation: The square of an even number is even and the square of an odd number is odd. Thus, the square of 78 is even.

Question 2: Which of the following numbers is a perfect square?

A) 729

B) 512

C) 125

D) 375

Explanation: 729 = 27 × 27. Therefore, 729 is a perfect square.

Question 3: The number of non-square numbers between 25² and 26² is ____________.

A) 50

B) 25

C) 26

D) 52

Explanation: The number of non-square numbers between 25² and 26² = 2 × 25 = 50

Question 4: The number of non-square numbers between 729 and 784 is ____________.

A) 52

B) 54

C) 56

D) 58

Explanation: The number of non-square numbers between 729 (27²) and 784 (28²) = 2 × 27 = 54

Question 5: The sum of first 8 odd numbers, that is, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15, is _________.

A) 49

B) 64

C) 81

D) 100

Explanation: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 8² = 64

Question 6: The sum of first 30 odd numbers is __________.

A) 300

B) 600

C) 900

D) 950

Explanation: The sum of first 30 odd numbers = 30 × 30 = 900

Question 7: The square of 58 is _________.

A) 3384

B) 3364

C) 3354

D) 3394

Explanation: 58² = 58 × 58 = 3364

Question 8: Which of the following numbers are Pythagorean triplet?

A) 8, 10, 12

B) 16, 20, 24

C) 8, 9, 10

D) 8, 15, 17

Explanation: 8, 15, 17 are Pythagorean triplet, because 8² + 15² = 17².

Question 9: If the smallest and the largest numbers of a Pythagorean triplet are 15 and 25, then find the third number.

A) 20

B) 19

C) 18

D) 22

Explanation: Third number = 25² – 15² = 625 – 225 = 400 = 20². Thus, the third number is 20.

Question 10: If the two smaller numbers of a Pythagorean triplet are 5 and 12, then find the largest number.

A) 11

B) 12

C) 13

D) 14

Explanation: The largest number = 5² + 12² = 25 + 144 = 169 = 13². Thus, the largest number is 13.

Question 11: Find the square of -19.

A) -361

B) 361

C) 324

D) -324

Explanation: (-19) × (-19) = 361

Question 12: The ones digit of the square of 359 is ________.

A) 3

B) 1

C) 9

D) 7

Explanation: The ones digit of the square of 359 is 1, because 9 × 9 = 81. Thus, 1 will come at ones place.

Question 13: Find the square root of 961.

A) 31

B) 21

C) 41

D) 37

Explanation: 961 = 31 × 31 = 31². Thus, the square root of 961 is 31.

Question 14: The square root of 1296 is ___________.

A) 26

B) 24

C) 34

D) 36

Explanation: 1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 = 2² × 2² × 3² × 3². Thus, square root of 1296 = 2 × 2 × 3 × 3 = 36.

Question 15: Find the square root of 324.

A) 16

B) 17

C) 18

D) 22

Explanation: 324 = 2 × 2 × 3 × 3 × 3 × 3 = 2² × 3² × 3². Thus, the square root of 324 = 2 × 3 × 3 = 18

Question 16: Find the square root of 1.44.

A) 0.12

B) 1.2

C) 12

D) 2.2

Explanation: 1.44 = 1.2 × 1.2

Question 17: The square root of 0.81 is _________.

A) 0.9

B) 9

C) 0.09

D) 9.0

Explanation: 0.81 = 0.9 × 0.9

Question 18: The area of a square field is 225 sq. m. Find the measure of each side of the square field.

A) 12 m

B) 13 m

C) 15 m

D) 25 m

Explanation: We know that the area of a square = (side)². Therefore, side = √area = √225 = 15 m

Question 19: The area of a square ludo board is 121 sq. cm. What the measure of each side of the ludo board?

A) 10 cm

B) 11 cm

C) 12 cm

D) 13 cm

Explanation: Each side of ludo board = √ 121 = √ 11 × 11 = 11 cm

Question 20: Estimate the square root of 150 to the nearest whole number.

A) 10

B) 11

C) 12

D) 13

Explanation: We know that 12² = 144 and 13² = 169. Since 144 < 150 < 169 or 12² < 150 < 13². Since 150 is closer to 144 (12²), the estimated square root of 150 is 12 to the nearest whole number.

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