Foundation June 2023 Paper 3 Q7
7 A student takes two tests.
In Test 1, the student scores 45 out of 60.
Test 2 is also out of 60.
Work out how many marks the student needs in Test 2 to have a mean of 70% in the two tests. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 39 | 3 | M2 for \(0.7 \times (60 + 60) - 45\) oe or M1 for \(0.7 \times (60 + 60)\) oe implied by 84 OR M2 for \(70 \times 2 - \dfrac{45}{60} \times 100\) implied by 65 or M1 for \(\dfrac{45}{60} \times 100\) implied by 75 OR M2 for \(\dfrac{45 + [\ \ ]}{2} = 0.7 \times 60\) oe or M1 for \(0.7 \times 60\) oe implied by 42 If 0 scored, SC 2 for answer \(\dfrac{39}{60}\) | Accept 39 out of 60 for 3 marks e.g. 84 – 45 e.g. 140 – 75 e.g. 45 + [ ] = 84 An implied M mark stands so long as there is no evidence to suggest that it is not used to reach the answer |