Numeracy Intermediate November 2024 Unit 1 Q9
9. A fire surround is made from concrete.
The fire surround has a uniform cross-section.
The edges of the fire surround are all either horizontal or vertical, as shown in the diagram.
Diagram not drawn to scale
The volume of the concrete in the fire surround is 164 000 cm3.
Calculate the depth of the fire surround.
Give your answer in centimetres.
You must show all your working. [5]
Depth of fire surround is …………… cm
| Scheme | Marks | Comments |
|---|---|---|
Complete method to calculate the area of cross-section, e.g.
| M2 | Cross-section working may be embedded within working to find the depth (= 16 000 – 7800) (= 1500 + 5200 + 1500) (= 900 + 6400 + 900) (= 900 + 5800 + 1500) M1 for the sight of 2 dimensionally correct products (a pair of numbers) that must include at least 1 of the following evaluated products:
|
| (Area cross-section) 8200 (cm2) | A1 | CAO |
| (Depth = Volume ÷ area X-section) 164 000 ÷ 8200 | M1 | FT 164 000 ÷ ‘their area’, provided ‘their area’ is dimensionally correct (e.g. not a length or a volume) |
| 20 (cm) | A1 | On FT ignore any decimal part in their evaluation (accepting also if decimal parts have led to rounding or truncation) Answer space takes precedence |