Foundation January 2022 Paper 1 Q13
13 The diagram shows a classroom wall in the shape of a trapezium.

Diagram NOT accurately drawn
Dion wants to paint the classroom wall completely twice.
He knows that each tin of paint will cover 12 m2
He is going to have to buy all the paint he needs.
Work out the least number of tins of paint that Dion will need to buy.
Show your working clearly.
(4)
| Scheme | Marks |
|---|---|
| eg 2.5 × 6.5 (= 16.25) or 0.5 × 6.5 × 1 (= 3.25) or 3.5 × 6.5 (= 22.75) | M1 |
| 2.5 × 6.5 + 0.5 × 6.5 × 1 (= 19.5) or 2 × (2.5 × 6.5 + 0.5 × 6.5 × 1) (= 39) or 3.5 × 6.5 – 0.5 × 6.5 × 1 (= 19.5) or 2 × (3.5 × 6.5 – 0.5 × 6.5 × 1) (= 39) | M1 |
| 2 × “19.5” ÷ 12 (= 3.25) or “39” ÷ 12 (= 3.25) or 12 + 12 + 12 + 12 (= 48) or 4 × 12 (= 48) | M1 |
| Working required Answer: 4 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: M2 for
0.5(2.5 + 3.5) × 6.5 (= 19.5)
or
2 × (0.5(2.5 + 3.5) × 6.5) (= 39)
M1: or [their area] ÷ 12 (dep on M1)
or using multiples of 12 for [their area]
eg area = 19.5 and 12 + 12 (= 24) or 2 × 12 (= 24)
A1: dep on M2, must be from correct working