Foundation November 2018 Paper 2 Q23
23. Gregor owns a restaurant.
(a) 
The diagram shows a circular place mat.
Diagram not drawn to scale
The radius of the circular place mat is 14 cm.
Calculate the circumference of the circular place mat. [2]
(b)
Gregor plans to buy some spoons and forks.
A bag of 24 spoons costs £19.95.
A box of 18 forks costs £15.55.
Bags and boxes cannot be split.
Gregor decides to buy the same number of spoons as forks.
He places an order to buy the smallest number of each that he can.
Complete the details on the order form shown below.
You must show all your working. [5]
| Order form | Cost (For the required numbers ordered) |
|---|---|
| ……… bags of spoons | …………… |
| ……… boxes of forks | …………… |
| Total cost of the complete order £ …………… | |
| Scheme | Marks | Comments |
|---|---|---|
| (C =) 2 × π × 14 or π × 28 | M1 | |
| Answer in the range 87.9 to 88 (cm) or 28π (cm) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (72 ÷ 24 =) 3 (bags of spoons) AND (72 ÷ 18 =) 4 (boxes of forks) | B3 | Answers in the table take precedence over working B2 for any of the following:
|
| (3 × 19.95 and 4 × 15.55 =) (£) 59.85 AND (£) 62.2(0) | M1 | FT use of ‘their 3 bags of spoons’ and ‘their 4 boxes of forks’ provided at least B1 previously awarded |
| = (£) 122.05 | A1 | CAO |
| (7) |