Number Lines: Problem Solving & Reasoning

Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on number lines to develop problem solving and reasoning skills related to inequalities and number placement.

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Full preview • 12 questions

Number Lines: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Higher
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Date:
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Plot the point representing 3 on the number line.
[1 mark]
2.
Plot the point representing -2.5 on the number line.
[1 mark]
3.
Place a point on the number line to show the value of .5.
[1 mark]
4.
Using the number line, shade the region representing all numbers greater than 2 but less than 6.
[2 marks]
5.
Identify which of the following points are between -3 and 4: (-5), (0), (3), (5).
[1 mark]
6.
Construct a number line segment showing   and  , with correct inequalities.
[2 marks]
7.
The numbers 1, 4, and 7 are plotted on a number line. Which of these are greater than 3?
[1 mark]
8.
If a point is to the right of 2 and to the left of 5 on the number line, what inequality describes its position?
[1 mark]
9.
Plot the points corresponding to  and  on the number line and shade the region between them.
[2 marks]
10.
Identify the error in this statement: 'All numbers greater than 2 are to the left of 2 on the number line.'
[2 marks]
11.
Given the inequality x > -1, plot the solution set on the number line and explain your reasoning.
[3 marks]
12.
A number is 4 units greater than a certain number. If the number is plotted at 3 on the number line, what is the original number?
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet