Foundation November 2019 Paper 1 Q5
5.
(a)
Here is a number machine.
\[\boxed{\text{INPUT}} \longrightarrow \boxed{\text{Multiply by 2}} \longrightarrow \boxed{\text{Subtract 5}} \longrightarrow \boxed{\text{OUTPUT}}\](i) The input is 10.
What is the output? [1]
What is the output? [1]
(ii) The input is 4·5.
What is the output? [1]
What is the output? [1]
(iii) The output is \(-3\).
What is the input? [1]
What is the input? [1]
(b)
Here is a different number machine.
\[\boxed{\,x\,} \longrightarrow \boxed{\text{Divide by 2}} \longrightarrow \boxed{\text{Add 3}} \longrightarrow \boxed{\,y\,}\]Circle the rule shown by this number machine. [1]
\(2x - 3 = y\) \(\dfrac{x}{2} + 3 = y\) \(x = \dfrac{y}{2} + 3\) \(x = 2y - 3\) \(\dfrac{x + 3}{2} = y\)
| Scheme | Marks | Comments |
|---|---|---|
| (i) 15 | B1 | |
| (ii) 4 | B1 | Accept 4.0 |
| (iii) 1 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{x}{2} + 3 = y\) indicated | B1 | |
| (4) |