Foundation June 2024 Paper 1 Q9
9 Here is a number machine.
(a) Work out the output when the input is 13 (1)
(b) Work out the input when the output is 28 (2)
(c) Show that there is a number for which the output is the same as the input. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 16 | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| 19 | M1 | starts method to find input using inverse operations eg \(28 + 10\ (=38)\) or sight of \(+10\) and \(\div 2\) |
| A1 | cao |
Additional guidance
\(+10\) and \(\div 2\) could be seen in a flow diagram
Working may be next to number machine.
| Answer | Mark | Mark scheme |
|---|---|---|
| Shown | M1 | for carrying out at least one trial or for forming a suitable equation, eg \(2x - 10 = x\) or for identifying 10 |
| C1 | for showing that an input of 10 gives an output of 10 |
Additional guidance
Trial can be for any value, must be correctly evaluated.
Accept correct inverse function trial, correctly evaluated.
If working seen on the number machine provided in the question allow for a trial other than input 13 or output 28.
Allow \(10 \times 2 = 20 - 10 = 10\) for M1C1