Class 8 Practice – Level 3 – Set 1 – Squares and Square Roots

Total questions: 15

A square field has a diagonal length of $10 , \text{m}$. What is the area of the field?

Topic: Real-Life Applications

$25 , \text{m}^2$

$50 , \text{m}^2$

$75 , \text{m}^2$

$100 , \text{m}^2$

None

Which of the following is a valid Pythagorean triplet?

Topic: Pythagorean Triplets

$9, 40, 41$

$8, 15, 17$

$5, 12, 13$

All of the above

None

Find the square root of $0.000081$.

Topic: Square Roots of Decimals

$0.009$

$0.09$

$0.0009$

$0.00009$

None

Which number is NOT a perfect square?

Topic: Perfect Squares

$729$

$484$

$841$

$825$

None

The difference between the squares of two consecutive integers is always:

Topic: Patterns in Square Numbers

Equal to the larger integer

Equal to the smaller integer

Twice the larger integer

Equal to the sum of the integers

None

If $\sqrt{x} + \sqrt{36} = 15$, find $x$.

Topic: Square Roots

$81$

$121$

$225$

$169$

None

A car travels $36 , \text{km}$ in one hour. If the area of a square parking lot is equal to the square of this distance, what is the side length of the parking lot?

Topic: Applications of Squares and Square Roots

$6 , \text{km}$

$36 , \text{km}$

$1296 , \text{km}$

$18 , \text{km}$

None

If $y = 4x + 3$ and $x^2 = 16$, find $\sqrt{y}$.

Topic: Methods to Find Square Roots

$7$

$8$

$9$

$10$

None

The floor area of a square room is $484 , \text{m}^2$. Find the length of one side of the room.

Topic: Real-Life Applications

$21 , \text{m}$

$22 , \text{m}$

$23 , \text{m}$

$24 , \text{m}$

None

10.

Find the square root of $3.24$.

Topic: Square Roots of Decimals

$1.7$

$1.8$

$1.9$

$2.0$

None

11.

If the square of an integer ends in $9$, what is the unit digit of the integer?

Topic: Patterns in Square Numbers

$3$ or $7$

$1$ or $9$

$2$ or $8$

$5$

None

12.

Which number is the square of an odd number?

Topic: Perfect Squares

$100$

$81$

$144$

$196$

None

13.

If $2^{2x} = 16$, find $x$.

Topic: Square Roots and Exponents

$2$

$3$

$4$

$5$

None

14.

If the perimeter of a square is $40 , \text{m}$, find the length of its diagonal.

Topic: Applications of Squares and Square Roots

$10\sqrt{2} , \text{m}$

$20\sqrt{2} , \text{m}$

$5\sqrt{2} , \text{m}$

$15\sqrt{2} , \text{m}$

None

15.

A ladder $13 , \text{m}$ long is placed against a wall. The foot of the ladder is $5 , \text{m}$ away from the wall. How high does the ladder reach on the wall?

Topic: Pythagorean Triplets

$10 , \text{m}$

$11 , \text{m}$

$12 , \text{m}$

$13 , \text{m}$

None

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Class 8 Practice – Level 3 – Set 1 – Squares and Square Roots

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