4MA0 Foundation January 2013 Paper 1 Q14
14 Joseph travels to work each day by train.
The weekly cost of his train journey is £45
Joseph’s weekly pay is £625
(a) Work out 45 as a percentage of 625 (2)
(b) The weekly cost of his train journey increases by 8%.
Increase £45 by 8%. (3)
Increase £45 by 8%. (3)
(c) Joseph’s weekly pay increases to £640
Calculate the percentage increase from 625 to 640 (3)
Calculate the percentage increase from 625 to 640 (3)
(d) Joseph decides to cycle to work.
He cycles 18 km to work.
His journey to work takes 1 hour 20 minutes.
Calculate his average speed in kilometres per hour. (3)
He cycles 18 km to work.
His journey to work takes 1 hour 20 minutes.
Calculate his average speed in kilometres per hour. (3)
| Scheme | Marks |
|---|---|
| \(\dfrac{45}{625} \times 100\) | M1 |
| 7.2 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(\dfrac{8}{100} \times 45\;(= 3.6)\) | M1 |
| 45 + “3.6” | M1 dep |
| 48.6(0) | A1 |
| (3) |
Notes
M1: or M2 for \(45 \times 1.08\)
| Scheme | Marks |
|---|---|
| 640 – 625 (= 15) | M1 |
| “15” / 625 or “15” / 640 | M1 dep |
| 2.4 | A1 |
| (3) |
Notes
or 640/625 (= 1.024) then “1.024” – 1 (= 0.024)
or 625/640 (= 0.976.. or 0.977) then 1 – “0.976” (= 0.0234)
| Scheme | Marks |
|---|---|
| \(18 \div 1\frac{1}{3}\) or \(18 \div 1.33\) (2dp or better) or \(18 \div 80 \times 60\) | M2 |
| 13.5 | A1 |
| (3) |
Notes
M2: M1 for \(1\frac{1}{3}\) or \(18 \div 1.2\;(= 15)\) or \(18 \div 1.3\;(13.8..)\) or \(18 \div 80\;(= 0.225)\)
A1: cao