Foundation November 2020 Paper 1 Q21
21 Three people take \(2\frac{1}{2}\) hours to deliver leaflets to 270 houses.
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver leaflets to 405 houses?
Give your answer in hours and minutes. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 2 [h] 15 [m] | 4 | M3 for a fully correct method e.g. \(2.5 \times \dfrac{405}{270} \times \dfrac{3}{5}\) OR M2 for three correct steps from \(2.5 \times \dfrac{405}{270} \times \dfrac{3}{5}\) e.g. \(2.5 \times \dfrac{405}{270} \times 3\) OR M1 for one correct step e.g. \(\dfrac{270}{2.5}\), \(\dfrac{270}{150}\), \(\dfrac{270}{3}\), 2.5×3, 150×3, \(\dfrac{3}{5}\), \(\dfrac{405}{270}\) or \(\dfrac{405}{5}\) if M0 or M1 scored allow SC1 for their final time as a decimal hour or their final time in minutes correctly converted to hours and minutes e.g. 2.3333[h] = 2[h] 20[min] | M3 implied by 2.25, 2 [h] 25 [min] or 135 nfww note : (405 – 270 or 270 ÷ 2 )= 135 = 2[h] 15[min] scores M0 M2 could be implied by 180, 11.25, 675 or 3 nfww M1 could be implied by 108, 1.8, 90, 7.5, 450, 0.6, 1.5 or 81 allow alternative methods |