4MA0 Higher January 2013 Paper 3 Q3
3 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 |
|---|---|
| 45/625 x 100 | M1 |
| 7.2 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| 8/100 x 45 (= 3.6) | M1 |
| 45 + “3.6” | M1 |
| 48.6(0) | A1 |
| (3) |
Notes
M1: dep
or M2 for 45 x 1.08
| Scheme | Marks |
|---|---|
| 640 − 625 (= 15) | M1 |
| “15” / 625 or “15” / 640 | M1 |
| 2.4 | A1 |
| (3) |
Notes
M1: dep
or M1 for 640/625 (= 1.024), M1 dep for “1.024” − 1 (= 0.024)
or M1 for 625/640 (= 0.976.. or 0.977), M1 dep for 1 − “0.976” (= 0.0234)
| Scheme | Marks |
|---|---|
| 18 ÷ \(1\tfrac{1}{3}\) or 18 ÷ 1.33 (2dp or better) or 18 ÷ 80 x 60 | M2 |
| 13.5 | A1 |
| (3) |
Notes
M2: M1 for \(1\tfrac{1}{3}\) or 18 ÷1.2 (=15) or 18 ÷ 1.3 (13.8..) or 18 ÷ 80 (=0.225)
A1: cao