4400 Higher June 2006 Paper 4 Q3
3 Arul had \(x\) sweets.
Nikos had four times as many sweets as Arul.
(a) Write down an expression, in terms of \(x\), for the number of sweets Nikos had. (1)
Nikos gave 6 of his sweets to Arul.
Now they both have the same number of sweets.
(b) Use this information to form an equation in \(x\). (2)
(c) Solve your equation to find the number of sweets that Arul had at the start. (2)
| Scheme | Marks |
|---|---|
| \(4x\) | B1 |
| (1) |
Notes
B1: or \(4 \times x\) or \(x4\). Ignore “\(y =\)”, not “\(x =\)”
| Scheme | Marks |
|---|---|
| \(4x - 6\) or \(x + 6\) | M1 |
| \(4x - 6 = x + 6\) | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(3x - 6 = 6\) or \(4x = x + 12\) | M1 |
| 4 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: correctly collect either \(x\)s or consts
ft (b) (if ≥ 3 terms, lin = lin): M1 only
A1: cao \(\quad\) Allow \(x = 4\)