4MA0 Foundation January 2014 Paper 1R Q4
4 This rule can be used to work out the shortest distance from the screen a viewer should sit to watch TV.
Multiply the width of the screen by 3
(a) Tola is going to watch his TV.
The width of the screen is 55 cm.
Work out the shortest distance from the screen he should sit. (1)
The width of the screen is 55 cm.
Work out the shortest distance from the screen he should sit. (1)
(b) Roseva is going to watch her TV.
The shortest distance from the screen she should sit is 219 cm.
Work out the width of the screen. (2)
The shortest distance from the screen she should sit is 219 cm.
Work out the width of the screen. (2)
(c) The width of a TV screen is \(w\) cm.
The shortest distance from the screen a viewer should sit to watch this TV is \(d\) cm.
Write down a formula for \(d\) in terms of \(w\). (2)
The shortest distance from the screen a viewer should sit to watch this TV is \(d\) cm.
Write down a formula for \(d\) in terms of \(w\). (2)
| Scheme | Marks |
|---|---|
| 165 | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| 219 ÷ 3 | M1 |
| 73 | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| \(d = 3w\) Answer: \(d = 3w\) | B2 |
| (2) | |
| (Total 5 marks) |
Notes
B2: B1 for \(d\) = linear expression in \(w\)
B1 for \(3w\) oe
SC: B1 for \(w = \dfrac{d}{3}\) oe