Printable · GCSE Foundation · ages 14-16
Functions, inverse and composite functions worksheet — GCSE Foundation
Fifteen questions on "functions, inverse and composite functions" — DfE statement A7. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
part Higher
Functions, inverse and composite functions worksheet — GCSE Foundation
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- 1.A number machine multiplies its input by 5. Work out the output when the input is −1.
- 2.y = x + 4. Work out the value of y when x = 3.y = x + 4
- 3.A rule turns each input x into an output y. The inputs are x = −1, 0, 1, 2 and the matching outputs are y = 5, 3, 1, −1. Work out the rule.
- 4.A number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?
- 5.A number machine multiplies its input by 3 and then adds 7. The output is 1. Work out the input.
- 6.y = 5x − 1. Work out the value of y when x = 3.y = 5x − 1
- 7.A number machine adds 5 to its input. Work out the output when the input is 0.
- 8.A rule turns each input into an output. An input of 0 gives an output of −1, an input of 1 gives an output of 1, and an input of 2 gives an output of 3. Work out the rule, writing the input as x and the output as y.
- 9.y = 5 − 2x. Work out the value of x when y = 11.
- 10.y = x + 10. Work out the value of y when x = 0.y = x + 10
- 11.A number machine adds 6 to its input. Work out the output when the input is −4.
- 12.A rule turns each input x into an output y. The inputs are x = 0, 1, 2, 3 and the outputs are y = 4, 7, 10, 13. Work out the output when x = 5.
- 13.y = 3x − 2. Work out the value of y when x = 4.y = 3x − 2
- 14.A number machine multiplies its input by 2 and then subtracts 5. Work out the output when the input is 6.
- 15.A plumber charges a call-out fee of £30 plus £25 per hour worked. Work out the total charge for a job that takes 3 hours.
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