Higher November 2024 Paper 5 Q7
7 Felix makes craft figures at a constant rate.
He can make 5 craft figures in 40 minutes.
(a) Find the number of craft figures Felix can make in 4 hours. [3]
(b) Darcie makes craft figures 10% quicker than Felix.
Work out how long Darcie takes to make 15 craft figures. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 30 | 3 | M2 for \(\frac{4 \times 60}{40} \times 5\) oe or M1 for interpreting the proportional relationship given e.g. 1 figure takes 8 mins or for \(\frac{4 \times 60}{40}\) [×5] oe or \(\frac{5 \times 60}{40}\) [×4] oe | 10 figures take 80 mins, 7.5 figures take 1 hr etc |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 108 | 3 | M2 for \(40 \times \frac{15}{5} \times \frac{100 - 10}{100}\) oe M1 for \(\frac{90}{100} \times\) their time or [their time –] \(\frac{10}{100} \times\) their time seen If 0 scored, SC1 for answer 132 | M2 e.g. 3 × 0.9 × 40 or 7.2 × 15 their time = 8, 40 or 120 M1 implied by 12, 36, 4, 7.2, 0.8 seen or as part of a subtraction |