Foundation June 2025 Paper 1 Q14
14
(a) Expand \(\quad x(x - 7)\) (1)
(b) Factorise \(\quad 8y - 10\) (1)
\[m = 5a + 7b\](c) Work out the value of \(a\) when \(m = 48\) and \(b = 3\) (3)
| Scheme | Marks |
|---|---|
| \(x^2 - 7x\) | B1 |
| (1) |
Notes
B1: allow \(-7x + x^2\)
| Scheme | Marks |
|---|---|
| \(2(4y - 5)\) | B1 |
| (1) |
Notes
B1: allow \(2(-5 + 4y)\)
| Scheme | Marks |
|---|---|
eg \(48 = 5a + 7 \times 3\) oe or \(48 = 5a + 21\) oe or (\(5a\) =) 48 – 7 × 3 (= 27) oe or (\(5a\) =) 48 – 21 (= 27) oe or \(a = \dfrac{m - 7b}{5}\) | M1 |
| \((a =)\, \dfrac{48 - 7 \times 3}{5}\) oe or \((a =)\, \dfrac{48 - 21}{5}\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 5.4 | A1 |
| (3) | |
| (5 marks) |
Notes
M1: for substituting into the equation
or
making \(a\) the subject of the equation
M1: for a complete method
A1: oe eg \(\dfrac{27}{5}\)
SCB1 for answer of 261