Numeracy Foundation June 2023 Unit 1 Q2
2. Mr Evans owns a gift shop.
| Internet Price £5 per box Orders over £100 get 25% off the total cost |
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
How much did Mr Evans pay for the 40 boxes of chocolates?
You must show all your working. [3 + 2 OCW]
| Buy one box of chocolates for £8 Special Offer: Buy 2 boxes of chocolates for £13 |
20 boxes of chocolates were sold for £8 each.
The remaining boxes of chocolates were sold using the special offer.
How much profit did Mr Evans make?
You must show all your working. [5]
He uses a wooden planter.
It is in the shape of a cuboid without a lid.
A sketch of the wooden planter, with its dimensions, is shown below.
Diagram not drawn to scale
Mr Evans has 8 wooden panels.
These are shown below.
Circle the 5 panels that Mr Evans will need to use to make the planter. [3]
Diagrams not drawn to scale
The flower used in the poster is shown on the square grid below.
Each square on the grid represents 4 cm2 on the poster.
Estimate the area of the flower on the poster. [3]
Area of the flower on the poster …………… cm2
| Scheme | Marks | Comments |
|---|---|---|
| (i) (Price for 40 boxes is 40 × 5 = ) (£)200 | B1 | |
| (Discount is 200 ÷ 4 =) (£)50 | B1 | FT ‘their 40 × 5’ ÷ 4 This may be seen or implied in final answer |
| (Mr Evans paid 200 – 50 =) (£)150 | B1 | FT ‘their 200’ – ‘their 50’ Award B0 for an answer of 175(%) from 200 – 25(%) unless 25 has been derived as ‘their 50’. |
| Organisation and communication | OC1 | For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means |
| Writing | W1 | For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc. |
| (ii) (Sells the 20 boxes for 20 × 8 =) (£)160 | B1 | |
| Sells the special offer boxes for (40 – 20) ÷ 2 × 13 or 20 × 13 ÷ 2 or equivalent | M1 | Equivalent methods usually: 10 × 13 or 260 ÷ 2 or 20 × 6.5 |
| (£)130 | A1 | |
| (Profit = ) 160 + 130 – 150 | M1 | FT ‘their 20 × 8’ + ‘their 130’ – ‘their 150 from 2ai’ provided ‘their 130’ ≤ 260 |
| ( =) (£)140 | A1 | If final M0 A0, then award SC1 for sight of (£)290 from 160 + 130 Note: use of 20 × 13 = 260 and then 160 + 260 – 150 = 270 gains B1M0A0M1A1 |
Alternative
2(a)(i) Alternative method 1
| Scheme | Marks | Comments |
|---|---|---|
| (Price for 40 boxes is 40 × 5 =) (£)200 | B1 | |
| (Mr Evans paid) 0.75 × 40 × 5 or equivalent | M1 | FT ‘their 40 × 5’ |
| (£)150 | A1 |
2(a)(i) Alternative method 2
| Scheme | Marks | Comments |
|---|---|---|
| (Cost of 1 discounted box ¾ × 5 =) (£)15/4 or (£)3.75 | B1 | |
| (Cost of 40 boxes =) 40 × (£)15/4 or 40 × (£)3.75 | M1 | FT 40 × ‘their 15/4’ or 40 × ‘their 3.75’ |
| (£)150 | A1 |
The alternative methods are printed in italics in the original. In the original they come before the OC1 and W1 rows, which apply to any method.
| Scheme | Marks | Comments |
|---|---|---|
All 5 correct wooden panels identified with no incorrect ones. | B3 | Award B2 for: 5 panels correct and 1 incorrect OR 4 panels correct and 0 or 1 incorrect OR 3 panels correct and 0 incorrect Award B1 for: 5 or 4 panels correct and 2 incorrect OR 3 panels correct and 1 or 2 incorrect OR 2 panels correct and 0 incorrect |
| Scheme | Marks | Comments |
|---|---|---|
| (Area of flower) Evidence of counting squares within the shape | M1 | Allow M1 for area within and some of the squares outside Award M0 if clearly working with perimeter |
| 39 – 47 (squares) | A1 | Number of squares in range with no evidence of counting award M1 A1 |
| 156 – 188 (cm2) | B1 | FT ‘their number of squares’ × 4 correctly evaluated |
Alternative
2(c) Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| (Area of flower) Evidence of counting squares within the shape and counting up in 4s | M2 | If no evidence of counting squares, award M1 for evidence of counting up in 4s to at least 40 |
| 156 – 188 (cm2) | A1 |
The alternative method is printed in italics in the original.