Numeracy Foundation June 2017 Unit 1 Q10
10. Lazar wants to send a package to Germany.
He looks at pricing charts for three different companies, ParcelMax, DirectGo and Pack2save.
ParcelMax
Total cost =
Sum of the 3 dimensions in cm × £0.60
DirectGo
Total cost =
Volume measured in cm3 × £0.01
Pack2save
Total cost =
Total area of all 6 faces measured in cm2 × £0.02
Lazar’s parcel is a cuboid measuring 10 cm by 20 cm by 30 cm.
Diagram not drawn to scale
Find the cost of sending the parcel for each of the three different companies.
Give each of your answers in pounds (£).
(a) ParcelMax [2]
(b) DirectGo [3]
(c) Pack2save [4]
| Scheme | Marks | Comments |
|---|---|---|
| (10 + 20 + 30) × 0.6 or 60 × 0.6 or (10 + 20 + 30) × 60 ÷ 100 | M1 | Allow intention of brackets i.e. 10 + 20 + 30 × 0.6 |
| (£)36 | A1 | CAO and must be from correct working If no marks, award SC1 for an answer of 3600(p), not for £3600 |
| Scheme | Marks | Comments |
|---|---|---|
| 10 × 20 × 30 (= 6000) | M1 | An answer of £6000 implies M1 only |
| × 0.01 or (× 1) ÷ 100 | m1 | Depends on previous M1 Award of m1 implies previous M1 |
| (£)60 | A1 | CAO If M1 m0 A0 also award SC1 for an answer of 6000p |
| Scheme | Marks | Comments |
|---|---|---|
| 2× {(10×20) + (20×30) + (10×30) (= 2200) | M2 | M1 for sight of sum of at least 2 of the 6 possible products: 10×20, 20×30, 10×30 |
| × 0.02 or × 2 ÷ 100 | m1 | Depends on M2 or M1 previously awarded |
| (£)44 | A1 | CAO If M2 m0 A0, also award SC1 for an answer of 4400(p), not for £4400 |