Solving Inequalities (Edexcel GCSE Maths: Foundation)

Exam Questions

40 mins20 questions
1
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1 mark

Solve  3 x less than 12

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2
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2 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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3
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2 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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4
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2 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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5
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2 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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6
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1 mark

q1a-paper2hr-june2019-edexcel-igcse-maths

Write down the inequality shown on the number line.

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1
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2 marks

Solve  8 x minus 13 greater or equal than 11

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2
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2 marks

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

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3a
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2 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

3b
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1 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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1 mark

Circle 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

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5a
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2 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

5b
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2 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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6
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1 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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7a
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2 marks

uLKgU9wj_q2b-easy-2-21-solving-inequalities-edexcel-gcse-maths

Write down the inequality shown in the diagram.

7b
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1 mark

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

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8
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2 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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9
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2 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
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2 marks

Solve  15 x less or equal than 9 x minus 3

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2
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3 marks

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

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3
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3 marks

Solve  5 n minus 3 less than 2 n plus 12

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4
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1 mark

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

Circle the possible value of m.

2 begin inline style 7 over 8 end style 2.8 3 negative 7 over 2

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5
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1 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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