Numeracy Foundation November 2023 Unit 2 Q5
5. Ellie owns her own business selling candles.
The candles she sells have the following masses:
| Large candle | Medium candle | Small candle |
|---|---|---|
| 1000 g | 600 g | 175 g |
Ellie sends candles in boxes to her customers.
She uses the following table to calculate the cost of postage.
| Type of postage | ||||
|---|---|---|---|---|
| Mass up to and including | Standard | Signed | ||
| 1st class | 2nd class | 1st class | 2nd class | |
| 1 kg | £6.00 | £5.30 | £7.00 | £6.30 |
| 2 kg | £9.02 | £5.30 | £10.02 | £6.30 |
| 5 kg | £15.85 | £8.99 | £16.85 | £9.99 |
| 10 kg | £21.90 | £20.25 | £22.90 | £21.25 |
A customer orders 3 large candles, 2 medium candles and 4 small candles.
Ellie packs these candles in a box.
The mass of the empty box and packaging is 280 g.
Ellie sends the parcel ‘Signed’ and ‘1st class’.
Calculate the cost of sending the parcel.
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| Penalise -1 once only if incorrect units given Note: All parts need to be looked at as final answer does not imply all 4 marks | ||
| 3 × 1000(g) and 2 × 600(g) and 4 × 175(g) (3000 and 1200 and 700) | M1 | Allow mixed units for M1 |
| 4900 (g) or 4.9 (kg) | A1 | CAO. This may be implied by sight of 5180 or 5.18 |
| (4900 + 280 or 4.9 + 0.28 =) 5180 (g) or 5.18 (kg) | B1 | FT ‘their 4.9kg or 4900g’ provided M1 awarded and at least 2 of 3000 and 1200 and 700 have been added to 280 |
| (£)22.90 | B1 | FT ‘their total mass’ for costs of signed and 1st class including if mass of box omitted. (Note: cost for 4.9kg without box is £16.85) Unsupported answer of (£)22.90 award final B1 only Award M2A0B1 for 3000 + 1200 + 700 + 280 seen but not the final mass and state costs as £22.90, Award M1A1B0B1 for mass as 4900g or 4.9kg and box not added on but write the costs as (£)22.90 or (£)16.85. For working with individual costs of the total mass of each type of candle and do not consider the box, M1 can be awarded plus: Award SC1 for final answer of (£)33.87 (from 16.85 + 10.02 + 7) For working with individual costs for each individual candle plus a box for each candle (the mass of each candle & box not given) Award SC2 for (6 x £7 + 3 x £10.02 =) (£)72.06 OR Award SC1 for 6 x £7 + 3 x £10.02 For working with the costs for each individual candle (mass of the candles not given) and no marks awarded (M0A0B0B0), award SC1 for (9 × £7=) (£)63 |
Alternative
The alternative method is printed in italics in the mark scheme.
5. Alternative method for those adding the mass of the box initially
| Scheme | Marks | Comments |
|---|---|---|
| Penalise -1 once only if incorrect units given Note: All parts need to be looked at as final answer does not imply all 4 marks | ||
| 3 × 1000(g) + 2 × 600(g) + 4 × 175(g) + 280(g) (3000 + 1200 + 700 + 280) | M2 | Allow mixed units for M1 or M2. Award M1 for one of the following:
|
| 5180 (g) or 5.18 (kg) | A1 | FT from M1 only for their correctly evaluated sum |
| (£)22.90 | B1 | FT ‘their total mass’ for costs of signed and 1st class Unsupported answer of (£)22.90 award final B1 only |