Numeracy Foundation November 2024 Unit 2 Q4
4. The diagram below shows a rectangular grass lawn within a rectangular playground.
James lays soft flooring over all the playground except the grass lawn.
Diagram not drawn to scale
(a) What is the area of playground that James covers with soft flooring?
State the units of your answer. [4]
State the units of your answer. [4]
(b) James lays an edging strip around the outer perimeter of the playground.
The edging strip costs £2.95 per metre.
What is the total cost of the edging strip for the outer perimeter of the playground? [4]
The edging strip costs £2.95 per metre.
What is the total cost of the edging strip for the outer perimeter of the playground? [4]
| Scheme | Marks | Comments |
|---|---|---|
| 19.4 × 10.6 – 3.5 × 6 (205.64 – 21) | M2 | May be seen in stages Award M1 for either
|
| 184.64 m2 or metres2 | A1 U1 | CAO but allow 184.6 or 185 from correct working This is independent of previous marks |
| Scheme | Marks | Comments |
|---|---|---|
| 19.4 + 10.6 + 19.4 + 10.6 or equivalent 60 (m) | M1 A1 | |
| (19.4 + 10.6 + 19.4 + 10.6) × (£)2.95 | M1 | FT ‘their perimeter’ provided ‘their perimeter’ comes from using at least 2 of the measurements (e.g. using 19.4 & 19.4 or 19.4 & 10.6 or 10.6 &10.6) |
| (£)177 or 17700(p) | A1 | Award A0 if incorrect units used i.e. £17700 or 177p If no marks awarded, award SC1 for any one of the following:
|
Alternative
The alternative method is printed in italics in the mark scheme.
4(b) Alternative method where the perimeter is not found 1st.
| Scheme | Marks | Comments |
|---|---|---|
| 19.4 × (£)2.95 + 19.4 × (£)2.95 + 10.6 × (£)2.95 + 10.6 × (£)2.95 (57.23 + 57.23 + 31.27 + 31.27) Or (19.4 + 19.4 + 10.6 + 10.6) × (£)2.95 or equivalent | M2 | Award M1 for
|
| (£)177 or 17700(p) | A2 | CAO Award A1 if incorrect units used i.e. £17700 or 177p If M2 awarded, award A1 for any one of the following: (If answers listed below are seen without a method, award M2A1)
|