4MA0 Foundation June 2016 Paper 1 Q16
16
(a) Factorise \(3y^2 + 2y\) (1)
(b) Expand and simplify \((x - 9)(x + 2)\) (2)
(c)
(i) Solve \(6k + 5 \lt 20\)
(ii) \(n\) is an integer and \(6n + 5 \lt 20\)
Write down the largest possible value of \(n\)
(3)Write down the largest possible value of \(n\)
| Scheme | Marks |
|---|---|
| \(y(3y + 2)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| M1 | |
| \(x^2 - 7x - 18\) | A1 |
| (2) |
Notes
M1: for 3 correct terms
or
4 correct terms ignoring signs or
\(x^2 - 7x + a\) for any non-zero value of \(a\) or
\(\ldots - 7x - 18\)
| Scheme | Marks |
|---|---|
| (i) \(6k \lt 20 - 5\) | M1 |
| \(k \lt 2.5\) oe | A1 |
| (ii) 2 | B1 |
| (3) |
Notes
M1: for a correct first step to solve the inequality (accept an equation in place of an inequality) or
2.5 oe given as answer
A1: final answer must be an inequality
B1: for 2
or ft from an incorrect inequality of the form \(k \lt a\) in (i)