4MA0 Foundation January 2018 Paper 2R Q4
4 Here is a number machine.
(a) Find the output when the input is 6 (1)
(b) Find the output when the input is −8 (1)
(c) Find the input when the output is 103 (1)
The input is \(x\).
(d) Write down an expression, in terms of \(x\), for the output. (1)
The output is \(y\).
(e) Write down an expression, in terms of \(y\), for the input. (2)
| Scheme | Marks |
|---|---|
| 39 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| −17 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 22 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(4x + 15\) | B1 |
| (1) |
Notes
B1: Oe
Eg \(x \times 4 + 15\)
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{y - 15}{4}\) oe | A1 |
| (2) |
Notes
M1: For a correct inverse operation