Inequalities – Intermediate and Higher tier test questions - WJEC - GCSE Maths Revision

1

Which of the following is a solution to x \({\textgreater}\) -4?

-4

4

-5

2

Which inequality is shown on the number line?

A number line from -5 to 5 with an empty circle over the -3 and a line connecting to a closed circle over the 4.

-3 > x ≥ 4

-3 \(\textless\) x \(\textless\) 4

-3 \(\textless\) x ≤ 4

3

Which inequality is shown on the number line?

A number line from -6 to 3 with a closed circle over the -3 and an arrow pointing to 3.

x ≥ - 3

x > - 3

x ≥ 3

4

What are the integer (whole number values) solutions to -3 \(\textless\) x \({\leq}\) 2?

0, 1, 2

-3, -2, -1, 0, 1

-2, -1, 0, 1, 2

5

Bill has £35 to spend, but he wants to keep £10. He also wants to buy some songs costing £5 each. Which of the following inequalities accurately represents Bill’s situation?

10 + 5n \({\geq}\) 35

5n - 10 \({\leq}\) 35

35 - 5n \({\geq}\) 10

6

What is the solution to the inequality \(\frac {4y}{3}\) -2 \({\textless}\) 2?

y \({\textless}\) 3

y \({\textless}\) 0

y \({\textless}\) 4

7

How do you solve the inequality 4(3 - 2x) ≤ 14?

x ≤ 0.25

x > 0.25

x ≥ -0.25

8

What inequality is shown on this graph?

A graph with an x and y axis from -5 to 5 and a dotted line on x3.

x \(\textless\) 3

x ≤ 3

x ≥ 3

9

What inequality is shown by this graph?

A graph with an x and y axis from -5 to 5 and a solid line crossing points y1 and x-0.5.

y \(\textless\) 2x + 1

y ≥ 2x + 1

y > 2x + 1

10

Which inequalities are satisfied by the diagram below?

A graph with an x and y axis from -4 to 5 and a solid purple line crossing x1, and a solid green line crossing y3.

x ≤ 1 and y ≤ 3

x \(\textless\) 1 and y \(\textless\) 3

x ≥ 1 and y ≥ 3