Foundation June 2023 Paper 1 Q16
16. Viola is arranging some paving slabs to make a path all around a rectangular pond.
Some of the slabs are grey and some are white.
There are no gaps between the slabs and no gaps between the slabs and the edge of the pond.
The diagram shows how she positions her first three slabs.

Diagram not drawn to scale
The ratio of grey slabs : white slabs is 3 : 1.
The pond is 2·5 metres by 3·5 metres.
Each slab is a square with side 50 centimetres.
A grey slab costs £5 and a white slab costs £6.
How much does it cost Viola to make her path? [6]
| Scheme | Marks | Comments |
|---|---|---|
| Finds the number of slabs for the length and width of the pond | S1 | May be implied by 5 slabs or 7 slabs correct |
| (Number of slabs = 5 + 7 + 5 + 7 + 4 =) 28 | B1 | |
| 28 ÷ 4 × 3 OR 28 ÷ 4 (× 1) | M1 | FT ‘their 28’ if a multiple of 4. |
| 21 grey and 7 white si | A1 | CAO |
| 5 × 21 + 6 × 7 | m1 | FT ‘their 21’ and ‘their 7’ |
| (£)147 | A1 | CAO Award S1 B0 M1 A0 m1 A0 SC1 for a final answer of £126. |
| (6) |