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Worksheets

Mathematics Challenge

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Simplify the expression: 3x + 2y - 5z

a)

3x - 2y - 5z

b)

3x + 2y + 5z

c)

3x + 2y - 5z

d)

3x + 2y + 5z

2.

Solve the linear equation: 2x + 3 = 7

a)

x = 4

b)

x = 5

c)

x = 2

d)

x = 3

3.

Find the roots of the quadratic equation: x^2 - 4x + 4 = 0

a)

x = 3

b)

x = 2

c)

x = 5

d)

x = -2

4.

What is the probability of rolling a prime number on a fair six-sided die?

a)

1/2

b)

1/4

c)

1/5

d)

1/3

5.

Calculate the mean of the following data set: 5, 7, 9, 11, 13

a)

7

b)

9

c)

10

d)

15

6.

Factorize the expression: x^2 + 5x + 6

a)

(x + 5)(x + 1)

b)

(x + 2)(x + 3)

c)

(x + 1)(x + 6)

d)

(x + 4)(x + 2)

7.

Determine the slope of the line passing through the points (2, 3) and (4, 7)

a)

2

b)

1

c)

3

d)

4

8.

Solve the equation system: 2x + y = 5, x - 3y = -2

a)

{'x': 1, 'y': 2}

b)

{'x': 4, 'y': 0}

c)

{'x': 2, 'y': 3}

d)

{'x': 3, 'y': 1}

9.

If the odds of winning a raffle are 1 in 20, what is the probability of not winning?

a)

1/20

b)

18/20

c)

2/20

d)

19/20

10.

What is the mode of the following data set: 3, 5, 7, 5, 9, 5

a)

9

b)

7

c)

5

d)

3

11.

Expand the expression: (2x - 3)(x + 4)

a)

2x^2 + 5x - 12

b)

2x^2 - 5x - 12

c)

2x^2 + 7x - 12

d)

2x^2 + 5x + 12

12.

Find the y-intercept of the line with equation y = 2x + 5

a)

5

b)

3

c)

7

d)

10

13.

Solve the quadratic equation: 3x^2 - 7x + 2 = 0

a)

x = -1, x = 2

b)

x = 1, x = 4

c)

x = 1/2, x = 3

d)

x = 1/3, x = 2

14.

If a card is drawn at random from a standard deck of 52 cards, what is the probability of drawing a red card?

a)

0.75

b)

0.25

c)

1.0

d)

0.5

15.

Calculate the median of the following data set: 4, 6, 8, 10, 12

a)

5

b)

9

c)

11

d)

8

16.

Simplify the expression: 4a^2b - 2ab^2 + 3a^2b

a)

7a^2b - 2ab^2

b)

4a^2b - 2ab^2 + 3a^2b

c)

5a^2b - 2ab^2

d)

2a^2b - 2ab^2

17.

Determine the solution set of the inequality: 2x + 1 < 5

a)

x < 2

b)

x < 1

c)

x = 2

d)

x > 2

18.

A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a blue ball?

a)

3/10

b)

1/5

c)

4/10

d)

2/10

19.

What is the range of the data set: 15, 18, 21, 24, 27

a)

30

b)

12

c)

9

d)

18

20.

Factorize the expression: x^2 - 9

a)

(x - 1)(x + 9)

b)

(x + 3)(x - 3)

c)

(x + 2)(x - 4)

d)

(x + 4)(x - 2)