Numeracy Intermediate June 2017 Unit 2 Q13
13. Marta buys a new television.
Marta wants to fit the television in a bookcase on the wall.
In the shop she forgot to write down the length of the television.
She did write down the height and the diagonal of the screen.

Diagram not drawn to scale
Marta needs to know the length of the screen before she opens the box, in case she wants to return the television.
Calculate the length of the screen.
Give your answer correct to 2 significant figures. [4]
Length is …………… inches, correct to 2 significant figures.
The television was reduced in the sale by 26% of its original price.
It cost Marta £710.40 in the sale.
What was the original price of the television? [2]
Original price £ ……………
A television uses 1 unit of electricity every 10 hours.
A unit of electricity costs 9.8 p.
Calculate the cost of having a television turned on for 24 hours.
Circle your answer. [1]
£23.52 £2.35 40.83 p 23.52 p 2.45 p
On average, Marta watches 4 hours of television each day.
On average, how much a week does it cost her to watch television?
Circle your answer. [1]
27.44 p £27.44 £39.20 39.2 p 10.78 p
| Scheme | Marks | Comments |
|---|---|---|
| (Length2 =) 442 - 162 or 442 = Length2 + 162 | M1 | |
| (Length =) √1680 or Length2 = 1680 | A1 | |
| 41 (inches) | A2 | 2 sig.fig. is required A1 for 41.0, 41.00 or 40.9878… rounded or truncated FT from M1 for the correctly evaluated square root of ‘their 1680’ provided ‘their answer’ < 44 (inches) for possible A2 or A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (100 ×) 710.40 ÷74 (£)960 | M1 A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 23.52 p | B1 | |
| (ii) 27.44 p | B1 |