Intermediate June 2022 Unit 1 Q10
10.
Diagram not drawn to scale
ABC is a straight road, where the ratio AB : BC = 3 : 4.
AC = 56 km.
Calculate the length of BC.
Give your answer in miles.
You must show all your working. [4]
Length of BC = ……………………… miles
| Scheme | Marks | Comments |
|---|---|---|
| (BC =) 56 (km) ÷ (3 + 4) × 4 or equivalent | M1 | M1 awarded for complete method. |
| 32 (km) | A1 | |
| (BC =) 32 (km) ÷ 8 × 5 or equivalent 20 (miles) | M1 A1 | FT ‘their derived 32’ ÷ 8 × 5. If a candidate works with AB instead of BC, then treat as a misread -1 (from A mark). Example 1 56 (km) ÷ (3 + 4) × 3 = 24 (km) M1A1 (-1) 24 (km) ÷ 8 × 5 = 15 (miles) M1 A1 (Total = 3 marks) Example 2 e.g. 56 (km) ÷ (3 + 4) × 3 = 16 (km) M1A0 16 (km) ÷ 8 × 5 = 10 (miles) M1 A1 (-1) (Total = 2 marks) |
Alternative Method
| Scheme | Marks | Comments |
|---|---|---|
| (AC =) 56 (km) ÷ 8 × 5 or equivalent 35 (miles) | M1 A1 | M1 awarded for complete method |
| (BC =) 35 (miles) ÷ (3 + 4) × 4 or equivalent 20 (miles) | M1 A1 | FT ‘their derived 35’ ÷ (3 + 4) × 4 If a candidate works with AB instead of BC, then treat as a misread -1 (from second A mark). 56 (km) ÷ 8 × 5 = 35 (miles) M1 A1 35 (miles) ÷ (3 + 4) × 3 = 15 (miles) M1A1(-1) (Total = 3 marks) |