Numeracy Foundation November 2017 Unit 2 Q4
4.
Raspberries cost £3.60 per kg
Pears cost £2.60 per kg
Rhys buys some raspberries and some pears.
Rhys weighs the fruit he buys.
The raspberries cost him £4.50.
(a) Calculate the mass of the raspberries Rhys buys. [2]
(b) He finds that the mass of the pears is three times the mass of the raspberries.
How much change does Rhys get from £20 when buying the raspberries and pears?
You must show all your working. [4]
How much change does Rhys get from £20 when buying the raspberries and pears?
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| Mass of raspberries 4.5(0) ÷ 3.6(0) or 450 ÷ 360 | M1 | Place value must be consistent Allow sight of 3.60 ÷ 4 = 0.9 with 3.60 + 0.9 = 4.5 for M1 |
| 1.25 (kg) | A1 | Accept 1250(g), if units are given they must be correct Mark final answer |
Corrected by Westie's Workshop
- The board's mark scheme printed “Place value must consistent”. Changed to “Place value must be consistent” because the word “be” is missing.
Original: see the board's mark scheme PDF (link above).
| Scheme | Marks | Comments |
|---|---|---|
| Mass of pears (3 × 1.25 =) 3.75 (kg) or 3750(g) | B1 | FT ‘their 1.25’ |
| Cost of pears (3.75(0) × 2(.)60 =) (£)9.75 or 975(p) | B1 | FT ‘their 3.75’ provided 3 × ‘their 1.25’ has been attempted If units are given they must be correct |
| Total cost of raspberries and pears (£4.50 + £9.75 =) £14.25 or 1425(p) | B1 | FT correct evaluation of 4.5(0) + ‘their 9.75’ May be embedded within correct evaluation of their change |
| Change (£)5.75 or 575(p) | B1 | Allow £5.75p, if units are given must be correct FT provided 4.50 + ‘their 9.75’ has been attempted |
Example of FT from no answer in (a)
B0, B0 then
(£4.50 + 3 x £4.50 =) (£)18 B1
(Change = 20 - 18 =) (£)2 B1