Numeracy Intermediate November 2019 Unit 1 Q2
2. Sound5 sells pairs of earphones and USB leads.
The Venn diagrams show the number of customers who visited the shop last Friday and last Saturday.
No customers visited the shop on both days.
No customers bought more than 1 pair of earphones and 1 USB lead.

Earphones sell for £15 and USB leads sell for £3.
(a) How much did Sound5 customers spend buying USB leads on Friday? [2]
(b) Over the two days, how many customers did not buy either earphones or a USB lead?
Circle your answer. [1]
Circle your answer. [1]
27 45 40 57 72
(c) What fraction of Friday’s customers bought both earphones and a USB lead?
Circle your answer. [1]
Circle your answer. [1]
\(\dfrac{1}{10}\) \(\dfrac{1}{4}\) \(\dfrac{10}{40}\) \(\dfrac{10}{67}\) \(\dfrac{40}{67}\)
(d) How much money in total did Sound5 customers spend on buying earphones, USB leads or both on Saturday?
You must show all your working. [4]
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| (10 + 5) × 3 or 10 × 3 + 5 × 3 | M1 | |
| (£)45 | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 72 | B1 | Allow unambiguous indication of both 27 and 45 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{10}{67}\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (Earphones £) (30 + 22) × 15 (= £780) | M1 | |
| (USB leads £) (22 + 5) × 3 (= £81) | M1 | |
| (£) 861 | A2 | CAO ISW A1 for (£)780 or (£)81 If Friday used, award SC2 for an answer of (£)570 or SC1 for correct method for Friday |
2(d) Alternative method 1
| Scheme | Marks | Comments |
|---|---|---|
| 30 ×15 + 22×15 + 22×3 + 5×3 (= 450 + 330 + 66 + 15) | M2 | M1 for the sum of any 2 of these products |
| (£) 861 | A2 | CAO ISW A1 for sight of any two of 450, 330, 66 and 15 If Friday used, award SC2 for an answer of (£)570 or SC1 for correct method for Friday |
2(d) Alternative method 2
| Scheme | Marks | Comments |
|---|---|---|
| 30 ×15 + 22×(15 + 3) + 5×3 (= 450 + 396 + 15) | M2 | M1 for sight of 2nd term or for the sum of 1st and 3rd of these products |
| (£) 861 | A2 | CAO ISW A1 for sight of 396 or for sight of 450 and 15 If Friday used, award SC2 for an answer of (£)570 or SC1 for correct method for Friday |
The alternative methods are printed in italics in the original.