Higher November 2019 Paper 4 Q13
13
(a) A transport lorry consists of a cab and a trailer.
The trailer has a volume of 90 m3.
Alfie makes a model of this lorry using a scale of 1 : 72.
The trailer has a volume of 90 m3.
Alfie makes a model of this lorry using a scale of 1 : 72.
Work out the volume of the trailer in Alfie’s model, giving your answer in cm3. [3]
(b) Alfie paints his model lorry.
He has eight colours available.
He has eight colours available.
He decides to paint the cab in one colour and the trailer in a different colour.
He then wants to paint his name on the trailer.
The name must be in a different colour to the trailer.
In how many different ways can Alfie paint his model lorry? [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 241.[1…] | 3 | M2 for 90 ÷ 723 [× 1003] or B1 for 723 or 373 248 or 1003 or 1 000 000 | implied by e.g. 90 000 000 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 392 | 3 | M2 for 8 × 7 × 7 or M1 for 8 × 7 × 8 or 8, 7, 7 clearly identified (e.g. summed) if 0 scored award SC2 for 8 × 7 × 6 or SC1 for 8 × 8 × 8 , 6 × 7 × 6 | e.g. 448 as answer implied by 336 implied by 512 or 252 |