Foundation November 2023 Paper 3 Q11
11
(a) Simplify fully \(\quad 2x + 9y + 1 + 8x - 5y - 7\) [3 marks]
(b) Circle the expression that is equivalent to \(0.5a^2\) [1 mark]
- \(a\)
- \(\dfrac{a}{2}\)
- \(\dfrac{a^2}{2}\)
- \(\dfrac{a^2}{4}\)
| Answer | Mark | Comments |
|---|---|---|
| \(10x + 4y - 6\) or \(2(5x + 2y - 3)\) | B3 | any order B2 two terms correct B1 one term correct |
Additional guidance
| B1 may be awarded for correct work, with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| Further incorrect work after a B3 response is B2 eg1 \(10x + 4y - 6 = 8xy\) eg2 \(10x + 4y - 6\) and \(10x = -10\) eg3 \(10x + 4y - 6\) and \(2(5x + 2y - 6)\) | B2 |
| Further incorrect work after a B2 or B1 response is B1 eg1 \(10x + 4y + 6 = 20xy\) eg2 \(10x - 4y + 6\) and \(10x = -2\) eg3 \(10x + 4y + 6\) and \(2(5x + 2y + 6)\) | B1 |
| \(10x + 4y + 6\) and \(2(5x + 2y + 3)\) | B2 |
| \(10x\) and \(4y\) and \(-6\) | B2 |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{a^2}{2}\) | B1 | accept any indication |