GCSEMathsEdexcelFoundationExam QuestionsAlgebraSolving Inequalities

Solving Inequalities (Edexcel GCSE Maths: Foundation): Exam Questions

Exam code: 1MA1

51 mins23 questions
Easy
Medium
Hard
1
Sme Calculator1 mark

Solve  3 x less than 12

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22 marks

n is an integer.

   negative 1 space less-than or slanted equal to n less than 4

List the possible values of n.

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32 marks

negative 3 space less than space n space less-than or slanted equal to space 1

n is an integer.

Write down all the possible values of n.

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42 marks

negative 5 space less than space y space less-than or slanted equal to 0

y is an integer.

Write down all the possible values of y.

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52 marks

m is an integer such that  long dash 2 space less than space m space less-than or slanted equal to space 3

Write down all the possible values of m.

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61 mark
q1a-paper2hr-june2019-edexcel-igcse-maths

Write down the inequality shown on the number line.

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72 marks

Show the inequality x space less than space 3 on the number line below

q5a-easy-2-21-solving-inequalities-edexcel-gcse-maths

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8a2 marks

The number line below shows two inequalities.

Number line from -5 to 3 with an arrow from -2 left and another from 0 right. A filled circle at -2 and an empty circle at 0.

Write the two inequalities for x.

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8b1 mark

Write the range of solutions for x as a single, bounded inequality.

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8c1 mark

List the integers that satisfy both inequalities.

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1
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Solve  8 x minus 13 greater or equal than 11

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2
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Solve  fraction numerator 7 x over denominator 3 end fraction less than 6

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3a2 marks

n is an integer.
Write down all the values of n such thatspace – 2 space less-than or slanted equal to space n space less than space 3

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3b1 mark

On the number line, represent the inequality y space less-than or slanted equal to space 1

q1b-4ma1-1hr-qp-jan22-paper1-igcse-maths

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4
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Choose the inequality shown by the diagram.

q1-paper3h-nov2017-aqa-gcse-maths

  • – 4 space less-than or slanted equal to space x space less than space 5

  • – 4 space less-than or slanted equal to space x space less-than or slanted equal to space 5

  • – 4 space less than space x space less than space 5

  • – 4 space less than space x space less-than or slanted equal to space 5

Choose your answer

5a2 marks

On the number line, show the inequality – 2 space less-than or slanted equal to space y space less than space 1

q3a-4ma1-1hr-qp-jan21-paper1-igcse-maths

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5b2 marks

n is an integer.

Write down all the values of n that satisfy – 3.4 space less than space n space less-than or slanted equal to space 2

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61 mark

List all of the integers which satisfy all three of the following inequalities.

x less or equal than 8

x greater than 2

x greater than 3

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7a2 marks
uLKgU9wj_q2b-easy-2-21-solving-inequalities-edexcel-gcse-maths

Write down the inequality shown in the diagram.

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7b
Sme Calculator1 mark

Solve        space space y space minus 2 space greater than space 5

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82 marks

Here is an inequality, in x, shown on a number line.

q6b-easy-2-21-solving-inequalities-edexcel-gcse-maths

Write down the inequality.

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92 marks

negative 2 space less than space n space less-than or slanted equal to 3

Represent this inequality on the number line.

q1a-medium-2-21-solving-inequalities-edexcel-gcse-maths

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1
Sme Calculator2 marks

Solve  15 x less or equal than 9 x minus 3

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2
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Solve  14 x greater than 2 open parentheses x plus 8 close parentheses

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3
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Solve  5 n minus 3 less than 2 n plus 12

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4
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m to the power of 2 space end exponent greater than space 9

Choose the possible value of m.

  • 2 begin inline style 7 over 8 end style

  • 2.8

  • 3

  • negative 7 over 2

Choose your answer

51 mark

List all of the integers which satisfy all three of the following inequalities.

x less or equal than 7

2 less than x less or equal than 8

4 less or equal than x less or equal than 8.5

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6a
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Solve 30 m greater than 14 m plus 9

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6b
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On the number line below, show the set of values of x for which negative 8 less than 4 x less or equal than 12

Horizontal number line with integer markings from -6 to 6, labelled as x, featuring an arrow pointing right, indicating positive direction.

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