Numeracy Foundation November 2021 Unit 2 Q3
3.
He uses one large rectangular tile with length 330 mm and width 250 mm.
State the units of your answer. [3]
He puts a 4 mm wide strip of adhesive between the tile and the sink.
This is shown below.

Diagram not drawn to scale
The length \(a\) on the diagram is the total length of the tile and borders.
The width \(b\) on the diagram is the total width of the tile, border and adhesive strip.
Find the length \(a\) and the width \(b\).
Give your answers in cm. [3]
Length \(a\) = …………………… cm Width \(b\) = …………………… cm
The tiler uses the following formula when preparing the bill for Arwel.
Calculate the total cost when the tiler works for 15 hours and 30 minutes and the cost of materials is £237.60. [3]
| Scheme | Marks | Comments |
|---|---|---|
| (i) 330 × 250 | M1 | Award M1 for 33 × 25 OR 0·33 × 0·25 |
| 82 500 | A1 | Mark final answer If change of units (cm or m), then method must match answer (825 or 0·0825) e.g. 330 × 250 = 825 is awarded M1A0U0 but, if correct units included e.g. 330 × 250 = 825 cm2 M1A1U1 can be awarded. |
| mm2 | U1 | FT correct unit for their calculation. Unsupported incorrect answers are awarded U1 for mm2 only |
| (ii) (\(a\) = ) 36(·0 cm) (cm) AND (\(b\) = ) 26·9 | B3 | B2 for
|
| Scheme | Marks | Comments |
|---|---|---|
| 23 × 15·5 + 237.6(0) | M2 | Allow M1 for substitution of their attempt at 15 hours 30 minutes e.g. 23 × 15·3 + 237.6(0) 23 × 930 + 237.6(0) |
| (£) 594.1(0) | A1 | Allow FT from 15·3 but not 930 i.e. award M1A1 for 23 × 15·3 + 237.6(0) = (£)589.5(0) If no marks award SC1 for
|