Foundation June 2023 Paper 1 Q16
16 Last season, the number of goals scored by Arjun, by Simon and by Kath for their football team were in the ratios \(2 : 5 : 8\)
Simon scored 12 more goals than Arjun.
Work out the number of goals scored by Kath.
(3)
| Scheme | Marks |
|---|---|
| \(12 \div (5 - 2)\) (= 4) or \(2 : 5 = 8 : 20\) or A = 8 or S = 20 or eg \(\dfrac{5}{15}x - \dfrac{2}{15}x = 12\) or \(x = 60\) | M1 |
eg \(8 \times \text{``}{4}\text{''}\) or \(8 \times \dfrac{8}{2}\) or \(8 + 12 + 12\) or \(8 \times \dfrac{20}{5}\) or \(20 + 12\) or \(\text{``}{60}\text{''} \times \dfrac{8}{15}\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 32 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for method to find the value of one share or working with the ratio for Arjun or Simon or setting up an equation or for finding the total number of goals (= 60)
M1: for a complete method
A1: SCB1 for \(\dfrac{8}{15} \times 12\) (= 6.4)
M2 for \(\dfrac{8}{5 - 2} \times 12\) oe
(The printed first line also has a stray “or = 20” after “S = 20”, which has been left out.)