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Maths and Reasoning Challenge

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Simplify the expression: 3x + 5x - 2.

a)

5x - 2

b)

8x + 2

c)

8x - 2

d)

3x + 2

2.

What is the value of x in the equation: 2(x - 3) = 4?

a)

5

b)

2

c)

7

d)

3

3.

Calculate the area of a triangle with a base of 10 cm and a height of 5 cm.

a)

20 cm²

b)

25 cm²

c)

15 cm²

d)

30 cm²

4.

If the circumference of a circle is 31.4 cm, what is its radius?

a)

3 cm

b)

5 cm

c)

7 cm

d)

10 cm

5.

In a right triangle, if one angle is 30 degrees and the hypotenuse is 10 cm, what is the length of the opposite side?

a)

3 cm

b)

5 cm

c)

7 cm

d)

8 cm

6.

A survey shows that 60% of students prefer online classes. If there are 200 students surveyed, how many prefer online classes?

a)

80

b)

100

c)

120

d)

150

7.

What is the probability of rolling a sum of 7 with two six-sided dice?

a)

1/8

b)

1/12

c)

1/4

d)

1/6

8.

If a bag contains 3 red, 2 blue, and 5 green marbles, what is the probability of picking a blue marble?

a)

2/5

b)

1/4

c)

3/10

d)

1/5

9.

What is the median of the following set of numbers: 3, 7, 9, 5, 12?

a)

5

b)

9

c)

12

d)

7

10.

If a rectangle has a length of 8 cm and a width of 3 cm, what is its perimeter?

a)

22 cm

b)

24 cm

c)

20 cm

d)

18 cm

11.

Solve for y: 4y - 7 = 9.

a)

4

b)

-1

c)

2

d)

5

12.

A data set has the following values: 2, 4, 4, 4, 5, 5, 7. What is the mode?

a)

5

b)

2

c)

7

d)

4

13.

If the probability of an event occurring is 0.25, what is the probability of it not occurring?

a)

0.50

b)

0.75

c)

0.10

d)

1.00

14.

What is the sum of the first five prime numbers?

a)

32

b)

30

c)

28

d)

24

15.

If a triangle has angles measuring 45 degrees and 90 degrees, what is the measure of the third angle?

a)

30 degrees

b)

75 degrees

c)

45 degrees

d)

60 degrees