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Worksheets

Grade 8 Level

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

What is the Greatest Common Factor of 12 and 24?

a)

2

b)

4

c)

12

d)

24

2.

Which of the following pair of numbers has a GCF of 6?

a)

2 and 3

b)

8 and 12

c)

6 and 10

d)

12 and 18

3.

What is the GCF of a⁵b⁸, a⁴b⁶, a³b⁹ and a¹²b¹⁰?

a)

a⁵b⁸

b)

a³b⁶

c)

a¹²b⁸

d)

a¹²b⁷

4.

Al of the following are factors of 12x² Except one What is it?

a)

12

b)

12x

c)

12x²

d)

12x³

5.

What is the GCF of the expressions 4x⁴+6x ?

a)

2

b)

x

c)

2x

d)

2x⁴

6.

Which of the following is a perfect square?

a)

12x⁴

b)

16x²y²

c)

25x⁵y⁵

d)

36x⁶y⁷

7.

The area of a rectangular garden is 9t² - 64 square units. If one side is 3t - 8, what is the other side?

a)

3t - 8

b)

3t + 8

c)

t - 8

d)

t + 8

8.

The square of a number less than 3,000 is 25. What is the number?

a)

45

b)

55

c)

60

d)

65

9.

Which of the following is a perfect square number?

a)

8

b)

24

c)

125

d)

121

10.

All of the following expressions are perfect squares, EXCEPT one. What is it?

a)

12a²b²

b)

x²y⁶

c)

16a²b⁶

d)

25x⁶y⁸

11.

If one factor of a perfect square trinomial is 2xy - 3x, what is the other factor?

a)

2y - 3x

b)

2y + 3x

c)

2xy - 3x

d)

2xy + 3x

12.

Which of the following is equal to x² - 6xy + 9y² ?

a)

(x - 3y)²

b)

(x + 3y)²

c)

(2x - 3y)²

d)

(2x + 3y)²

13.

Which expressions represents the length of the side of the square with an area of 4b² + 16b + 16 square units?

a)

(2b + 4) units

b)

(4b + 2) units

c)

(8b + 4) units

d)

(4b + 8) units

14.

Which of the following is a perfect square number?

a)

8

b)

24

c)

125

d)

121

15.

What is the probalility of tossing 4 coins and getting tails on all four?

a)

½

b)

c)

¹/16

d)

¹/32

16.

The square of a number decreased by 625 is zero. What is the number?

a)

15

b)

35

c)

45

d)

25

17.

The product of two consecutive integers is 306. Find the integers.

a)

-4 and -5 or 4 and 5

b)

-9 and -10 or 9 and 10

c)

-12 and -13 or 12 and 13

d)

-17 and -18 or 17 and 18

18.

Six times the square of a number equals eighteen times that number. What is the number?

a)

0 and -3

b)

0 and -6

c)

0 and 3

d)

0 and 6

19.

The area of a lot is 256 square meters, find the length of one side.

a)

14 meters

b)

16 meters

c)

24 meters

d)

26 meters

20.

Vaness can accomplish his school project in z hours. What part of his school project can be completed by Vanness after 2 hours?

a)

z + 2

b)

z - 2

c)

2z

d)

z/2

21.

Suppose that two times the cube of a number equals 8 times the number. Find the number.

(a)  

22.

Marmie's father is twice as old as Marmie. In 20 years, Marmie will be two-thirds as old as her father. How old is Marmie now?

(a)  

23.

The area of a rug is 108 square centimeters. The length of the rug is 6 cm less than twice its width. What is the width of the rug?

(a)  

24.

The sum of Mara and Clara's age is 40. Two years back, Mara was twice as old as Clara. How old is Clara now?

(a)  

25.

The area of a square is numberically equal to five times its perimeter. Find the length of a side of the square.

(a)