4MA0 Higher June 2016 Paper 3 Q2
2 \(a = -5\)
\(c = -2\)
(a) Work out the value of \(2a^2 + 6c\) (2)
There are 4 pens in a small box of pens.
There are 10 pens in a large box of pens.
Ami buys \(x\) small boxes of pens and \(y\) large boxes of pens.
She buys a total of \(T\) pens.
(b) Write down a formula for \(T\) in terms of \(x\) and \(y\). (3)
| Scheme | Marks |
|---|---|
| \(2 \times (-5)^2 + 6 \times -2\) or \(2(-5)^2 + 6(-2)\) or 50 and −12 | M1 |
| 38 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(T = 4x + 10y\) oe | B3 |
| (3) |
Notes
B3: for a correct final answer
(award B2 if \(T = 4x + 10y\) is incorrectly simplified)
If not B3 then
B2 for \(T = 4x + ky\) or \(T = kx + 10y\) (\(k\) may be 0)) or \(4x + 10y\)
B1 for \(4x\) or \(10y\) or \(T\) = (linear expression in \(x\) and \(y\))