4MA0 Foundation June 2016 Paper 1R Q12
12 Here is a number machine.
| input | → | divide by 3 | → | subtract 5 | → | output |
(a) Work out the output when the input is 21 (1)
(b) Work out the input when the output is 30 (2)
The input is \(x\).
(c) Find an expression, in terms of \(x\), for the output. (2)
| Scheme | Marks |
|---|---|
| 2 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (30 + 5) × 3 | M1 |
| 105 | A1 |
| (2) |
Notes
M1: For (30 + 5) × 3 or 35 × 3
A1: cao
| Scheme | Marks |
|---|---|
| \(\dfrac{x}{3} - 5\) | M1 |
| \(\dfrac{x}{3} - 5\) | A1 |
| (2) |
Notes
M1: For \(\dfrac{x}{3}\) or \(x \div 3\) oe
A1: oe