Numeracy Foundation November 2018 Unit 1 Q4
4. Ffion is making a box for a present.
The box is a cuboid.
Ffion draws a sketch of a net of the cuboid.
Diagram not drawn to scale
(a)
Write down the height, length and width of the box. [1]
Height is ................ cm Length is ................ cm Width is ................ cm
(b)
After Ffion has finished making the box, she cuts and sticks coloured string along each edge of the finished box.
The string costs 3p for every 2 cm.
How much will Ffion spend on the string?
You must show all your working. [4]
Cost of the string is ....................
| Scheme | Marks | Comments |
|---|---|---|
| 4 (cm), 5 (cm) and (6 (cm) in any order | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 4 × 4 + 4 × 5 + 4 × 6 or equivalent | M1 | FT 'their width, height and length' provided 3 values are used |
| 60 (cm) | A1 | |
| 3 × 60 ÷ 2 or equivalent | M1 | FT 1.5 × ‘their 60 (cm)’ (irrespective if dimensionally incorrect) provided derived from use of ‘their 3 values’ |
| 90 (p) or £0.9(0) | A1 | Depends on both M marks Allow £0.90p |
Alternative method (b)
| Scheme | Marks | Comments |
|---|---|---|
| 4×1.5, 5×1.5 and 6×1.5 | M1 | FT 'their width, height and length' provided 3 values are used |
| 6(p), 7.5(p) and 9(p) | A1 | |
| 4 ×( 6 + 7.5 + 9) | M1 | FT use of 'their 6, 7.5 and 9' |
| 90(p) or £0.9(0) | A1 | Allow £0.90p Accept FT rounded or truncated to pence, may be expressed in £s |