Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Challenging Mathematics Assessment

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Solve for x: 3x + 5 = 20

a)

5

b)

0

c)

10

d)

15

2.

What are the roots of the equation x^2 - 4x + 4 = 0?

a)

x = 4

b)

x = 2

c)

x = 0

d)

x = -2

3.

Graph the inequality: 2x - 3 > 1

a)

x < 2

b)

x ≤ 2

c)

x = 2

d)

x > 2

4.

If a die is rolled, what is the probability of rolling a number greater than 4?

a)

1/4

b)

1/3

c)

1/2

d)

5/6

5.

Simplify: (2^3) * (2^2)

a)

4

b)

32

c)

8

d)

16

6.

Solve for y: 5y - 2 = 3y + 6

a)

4

b)

5

c)

3

d)

2

7.

Determine the vertex of the quadratic function y = x^2 - 6x + 8.

a)

(3, -1)

b)

(1, 2)

c)

(4, 0)

d)

(2, 0)

8.

Graph the inequality: y ≤ 2x + 1

a)

Graph the line y = 2x + 1 as a dashed line and shade below it.

b)

Graph the line y = 2x + 1 as a solid line and shade below it.

c)

Graph the line y = 2x + 1 as a solid line and shade above it.

d)

Graph the line y = 2x + 1 as a dashed line and shade above it.

9.

What is the probability of drawing a heart from a standard deck of cards?

a)

1/3

b)

1/4

c)

1/5

d)

1/2

10.

Evaluate: 3^4 / 3^2

a)

12

b)

9

c)

27

d)

6

11.

Solve for x: 4(x - 1) = 2(x + 3)

a)

7

b)

-1

c)

5

d)

3

12.

Find the x-intercepts of the quadratic function y = x^2 + 2x - 8.

a)

x = -1, x = 8

b)

x = -4, x = 2

c)

x = -2, x = 4

d)

x = 0, x = 3

13.

Graph the inequality: x + y < 4

a)

Graph the inequality x + y > 4 by drawing a solid line for y = -x + 4 and shading above it.

b)

Graph the inequality x + y < 4 by drawing a solid line for y = -x + 4 and shading above it.

c)

Graph the inequality x + y < 4 by drawing a dashed line for y = -x + 4 and shading below it.

d)

Graph the inequality x + y = 4 by drawing a dashed line for y = -x + 4 and shading below it.

14.

If you flip two coins, what is the probability of getting at least one head?

a)

0.50

b)

0.75

c)

1.00

d)

0.25

15.

Calculate: (5^2) - (2^3)

a)

25

b)

10

c)

8

d)

17

16.

Solve for z: 2z + 3 = 7 - z

a)

2

b)

1

c)

-1

d)

4/3

17.

What is the axis of symmetry for the function y = -x^2 + 4x - 3?

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 0

18.

Graph the inequality: 3x - 2y ≥ 6

a)

Graph the line y = (3/2)x + 3 as a dashed line and shade above it.

b)

Graph the line y = (3/2)x - 3 as a solid line and shade below it.

c)

Graph the line y = -2x + 6 as a solid line and shade above it.

d)

Graph the line y = (2/3)x - 2 as a solid line and shade above it.

19.

If a bag contains 3 red balls and 2 blue balls, what is the probability of picking a red ball?

a)

0.6

b)

0.8

c)

1.0

d)

0.4

20.

Evaluate: (4^3) / (4^2)

a)

8

b)

2

c)

16

d)

4