Function Machines and Simple Equations - Worksheets, Questions and Revision

22 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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11+ · Algebra and Functions

EP.M131 Function Machines and Simple Equations

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 55 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A function machine does: multiply by 3. What is the output when the input is 4?
  • A) 7
  • B) 11
  • C) 12
  • D) 16
  • E) 1
(Total for Question 1 is 1 mark)
2
A function machine does: add 7. If the input is 15, what is the output?
  • A) 8
  • B) 22
  • C) 28
  • D) 105
  • E) 9
(Total for Question 2 is 1 mark)
3
A machine takes an input, multiplies it by 4 then subtracts 5 to give the output. If the output is 11, what was the input?
  • A) 2
  • B) 3
  • C) 4
  • D) 5
  • E) 6
(Total for Question 3 is 1 mark)
4
A function machine does: subtract 6 then divide by 2. The output is 7. What was the input?
  • A) 14
  • B) 18
  • C) 20
  • D) 26
  • E) 28
(Total for Question 4 is 1 mark)
5
A function machine turns 6 into 18, and also turns 10 into 30. Which single operation is the rule of the machine?
  • A) add 12
  • B) multiply by 3
  • C) square the input
  • D) multiply by 2 then add 6
  • E) add 6 then multiply by 2
(Total for Question 5 is 1 mark)
6
Solve the equation x + 7 = 15. Give the value of x.
(Total for Question 6 is 1 mark)
7
Solve the equation 3x = 21. Give the value of x.
(Total for Question 7 is 1 mark)
8
Solve 2x + 5 = 17. Show your method.
(Total for Question 8 is 2 marks)
9
A machine does: times 2 then add 3. If the output is 19, what was the input?
  • A) 6
  • B) 7
  • C) 8
  • D) 9
  • E) 10
(Total for Question 9 is 1 mark)
10
If f(x) = x - 4, what is f(12)?
  • A) 16
  • B) 8
  • C) 12
  • D) 4
  • E) 28
(Total for Question 10 is 1 mark)
11
Solve x - 9 = -2. Give the value of x.
(Total for Question 11 is 1 mark)
12
Solve 5 - 2x = 1. Show your working.
(Total for Question 12 is 2 marks)
13
A machine does: multiply by 3 then add 4. The output is 25. Find the input. Show your method.
(Total for Question 13 is 2 marks)
14
A machine does: add 5 then multiply by 2. The output is 26. What was the input? Show your working.
(Total for Question 14 is 2 marks)
15
A function gives f(2) = 11 and f(5) = 26. Assuming f(x) = ax + b, find a and b and give the rule of the machine.
(Total for Question 15 is 2 marks)
16
Solve x/3 + 4 = 10. Show your working.
(Total for Question 16 is 2 marks)
17
If f(x) = 2x - 3, find f(10).
  • A) 17
  • B) 20
  • C) 23
  • D) 7
  • E) 30
(Total for Question 17 is 1 mark)
18
Solve 3(x - 2) = 12. Show your method.
(Total for Question 18 is 2 marks)
19
Solve 2x + 3 = 7x - 12. Show all steps.
(Total for Question 19 is 3 marks)
20
Input 4 goes through machine f then g. f adds 2 and g multiplies by 3. What is the final output?
  • A) 12
  • B) 18
  • C) 14
  • D) 10
  • E) 8
(Total for Question 20 is 1 mark)
21
A machine divides by 2 then adds 7. The final output is 15. What was the original input? Show your working.
(Total for Question 21 is 2 marks)
22
Solve 4x - 3 = 2x + 11. Show your method.
(Total for Question 22 is 2 marks)
Mark scheme · EP.M131 Function Machines and Simple Equations

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22