4MA0 Higher June 2016 Paper 3 Q7
7
(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 \(n\)
(d) Simplify fully \(\dfrac{28x^5y^3}{4xy^2}\) (2)
| 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) Answer: 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)
| Scheme | Marks |
|---|---|
| \(7x^4y\) | B2 |
| (2) |
Notes
B2: accept \(7x^4y^1\)
B1 for \(ax^ny^m\) with 2 of \(a = 7\), \(n = 4\), \(m = 1\) (\(n \neq 0\), \(m \neq 0\))
or
correct expression with two of 7, \(x^4\), \(y\) e.g. \(\dfrac{7x^4y^3}{y^2}\)