Foundation June 2022 Paper 3 Q11
11
(a) Here is a number machine.

Work out the output. [1 mark]
(b) Here is a different number machine.

Work out a formula for \(d\) in terms of \(c\). [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| 4 | B1 |
Additional guidance
| 4 in output oval with answer line blank | B1 |
| 4 in output oval with different answer on answer line | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \(d = 3c - 5\) or \(d = 3 \times c - 5\) | B2 | oe eg \(d = -5 + 3c\) B1 \(d = 3c \ldots\) or \(d = 3 \times c \ldots\) or \(3c - 5\) or \(3 \times c - 5\) SC1 \(c = \dfrac{d + 5}{3}\) |
Additional guidance
| Further incorrect work after a B2 response is B1 | |
| eg \(d = 3c - 5\) followed by \(d = -15c\) | B1 |
| Further incorrect work after a B1 response is B1 | |
| eg \(3c - 5\) followed by \(-15c\) | B1 |
| Condone \(3c - 5\) on answer line if \(d = 3c - 5\) seen in working | B2 |
| \(3c - 5 = d\) | B2 |
| \(d = c \times 3 - 5\) | B2 |
| \(d = c3 - 5\) | B1 |
| \(c3 - 5\) | B0 |