4MA0 Higher January 2014 Paper 3R Q7
7
Diagram NOT accurately drawn
A TV screen is rectangular.
The width of the rectangle is 64.8 cm and the height is 48.6 cm.
The length of a diagonal of the rectangle gives the ‘size’ of the TV screen.
(a) Calculate the ‘size’ of the TV screen. (3)
Diagram NOT accurately drawn
The diagram shows two rectangular TV screens.
The rectangles are similar.
The ‘size’ of the smaller screen is 48 cm.
The width of the smaller screen is 38.4 cm.
The ‘size’ of the larger screen is 102 cm.
(b) Calculate the width of the larger TV screen. (2)
| Scheme | Marks |
|---|---|
| \(64.8^2 + 48.6^2\) or 4199.04 + 2361.96 or 6561 | M1 |
| \(\sqrt{64.8^2 + 48.6^2}\) | M1 |
| 81 | A1 |
| (3) |
Notes
M1: for squaring and adding
M1: (dep) for square root
| Scheme | Marks |
|---|---|
| \(\dfrac{w}{38.4} = \dfrac{102}{48}\) oe eg \(38.4 \times \dfrac{102}{48}\) | M1 |
| 81.6 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for a full method
A1: cao