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Grade 8 Maths Challenge

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Solve for x: 2x + 5 = 15

a)

0

b)

7

c)

10

d)

5

2.

What is the ratio of 8 to 12 in simplest form?

a)

1 to 2

b)

2 to 3

c)

3 to 4

d)

4 to 5

3.

Calculate the area of a rectangle with length 5 cm and width 3 cm.

a)

20 cm²

b)

12 cm²

c)

15 cm²

d)

8 cm²

4.

If a triangle has a base of 6 cm and a height of 4 cm, what is its area?

a)

8 cm²

b)

10 cm²

c)

12 cm²

d)

14 cm²

5.

What is the perimeter of a square with side length 4 m?

a)

12 m

b)

20 m

c)

8 m

d)

16 m

6.

Solve for y: 3y - 7 = 2y + 5

a)

12

b)

5

c)

15

d)

10

7.

If 3/4 of a number is 12, what is the number?

a)

20

b)

14

c)

16

d)

10

8.

What is the ratio of 15 to 25?

a)

3 to 5

b)

2 to 5

c)

4 to 5

d)

1 to 2

9.

Calculate the area of a circle with a radius of 7 cm (use π ≈ 3.14).

a)

153.86 cm²

b)

150.00 cm²

c)

154.00 cm²

d)

160.00 cm²

10.

If a rectangle has a perimeter of 20 cm and a length of 6 cm, what is its width?

a)

5 cm

b)

3 cm

c)

7 cm

d)

4 cm

11.

Interpret the following data: If 60% of students passed a test and 240 students took the test, how many passed?

a)

120

b)

200

c)

144

d)

180

12.

What is the value of -3 + 7 - 2?

a)

5

b)

2

c)

-1

d)

4

13.

If a recipe calls for a ratio of 2:3 for sugar to flour, how much flour is needed for 4 cups of sugar?

a)

6 cups of flour

b)

8 cups of flour

c)

2 cups of flour

d)

4 cups of flour

14.

Calculate the perimeter of a triangle with sides measuring 5 cm, 7 cm, and 10 cm.

a)

20 cm

b)

22 cm

c)

18 cm

d)

25 cm

15.

Solve for x: 5(x - 2) = 3x + 4

a)

7

b)

5

c)

10

d)

-1

16.

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

a)

15 cm²

b)

25 cm²

c)

20 cm²

d)

30 cm²

17.

If a graph shows that 30% of students prefer math, and there are 200 students, how many prefer math?

a)

30

b)

80

c)

100

d)

60

18.

What is the sum of -8 and 5?

a)

-3

b)

-2

c)

3

d)

-5

19.

If the ratio of boys to girls in a class is 4:5 and there are 36 students, how many are girls?

a)

25

b)

30

c)

15

d)

20

20.

Calculate the area of a rectangle with a length of 10 m and a width of 2 m.

a)

12 m²

b)

25 m²

c)

15 m²

d)

20 m²