Functions (Edexcel GCSE Maths: Foundation)

Exam Questions

40 mins15 questions
1
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1 mark

Here is a number machine.

Simple function machine: input, x8, output

Work out the output when the input is 5.

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2
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1 mark

Here is a number machine.

Simple number machine: input, -11, output

Work out the input when the output is 18

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3
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2 marks

Here is a table for a one-stage number machine.

Simple number machine: input, ÷4, output

Complete the table.

Input Output
8 2
12 3
20 ...............
............... 9

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4
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1 mark

Here is a number machine.

Simple number machine: input, empty box, output

When the input is 12, the output is 3.

Complete the number machine.

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5
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1 mark

Here is a number machine.

Simple function machine: input, x6, output

The input is x.

Write down an expression for the output in terms of x.

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1a
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1 mark

Here is a function machine.

Function machine 

Work out the output when the input is 7.

[1]

1b
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2 marks

Work out the input when the output is 17.

[2]

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2
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3 marks

Here is a number machine.

Two-step number machine: input, +5, x4, output

Complete the table.

Input Output
2 28
4 36
7 ...............
............... 72

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3
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2 marks

Here is a number machine.

Two-step number machine: input, -7, x3, output

The input is x.

Write down an expression for the output in terms of x.

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4
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2 marks

Here is a number machine.

Two-step number machine: input, -4, empty box, output

The output is 15 when the input is 9.

Complete the function machine.

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5
Sme Calculator
3 marks

Here is a number machine.

Two-step function machine: input, empty box, +7, output

The output is 11 when the input is 8.

Complete the number machine.

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1
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3 marks

Here is a function machine.

Two-step number machine: input, x4, -8, output

The output is 3 times the size of the input when the input is x.

Find the value of x.

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2
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4 marks

In the diagram are two number machines.

Two-step number machine 1: input, x3, +7, output


Two-step number machine 1: input, +24, ÷2, output

The input for both machines is x.

Find the value of x that will generate the same output value in both number machines.

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3a
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2 marks

A straight line has equation y equals 5 x minus 3

Draw a number machine that will generate coordinates open parentheses x comma space y close parentheses that line on the straight line.
Let x be the input value and y be the output value.

3b
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4 marks

A second number machine is shown in the diagram.

A two-step number machine: input, empty box, x4, output

This number machine also generates coordinates open parentheses x comma space y close parentheses, where x is the input and y is the output.
These coordinates on another straight line.

The two straight lines intersect when y equals 32.

Complete the second number machine.

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4a
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2 marks

A function is represented by the following function machine.

q8a-paper4-spec2015-ocr-gcse-maths

A number is input into the machine.
The output is used as a new input.
The second output is 11.

Work out the number that was the first input.

4b
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3 marks

A number is input into the machine.
The output given is the same number.

Work out the number.

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5
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3 marks

A function machine is shown below.

q8b-paper4-spec2015-ocr-gcse-maths

If the Input is 3, the Output is 5.
If the Input is 7, the Output is 25.

Use this information to fill in the two boxes.

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