4MA0 Higher June 2012 Paper 4 Q3
3 Bhavik left his home at 12 00 to cycle to Sam’s house.
On the way Bhavik stopped for a rest, and then continued his journey.
The distance-time graph shows his journey.
(a)
(i) For how many minutes did Bhavik stop for a rest?
(ii) After his rest, how many more kilometres did Bhavik cycle to Sam’s house?
(2)(b) Bhavik stayed at Sam’s house for 2 hours.
He then cycled back to his home.
He arrived home at 17 15.
Show all this information on the graph. (2)
He then cycled back to his home.
He arrived home at 17 15.
Show all this information on the graph. (2)
(c) Write down the times at which Bhavik was 24 kilometres from his home. (2)
(d) Work out the average speed, in kilometres per hour, of Bhavik’s journey from Sam’s house back to his home.
Give your answer correct to 1 decimal place. (3)
Give your answer correct to 1 decimal place. (3)
| Scheme | Marks |
|---|---|
| (i) 30 | B1 |
| (ii) 21 | B1 |
| (2) |
Notes
Apart from questions 5, 7, 13c, 16b, 20, 21 and 22 (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.
| Scheme | Marks |
|---|---|
| Horizontal line from (1400,39) to (1600,39) | B1 |
| Line from (“1600”, 39) to (1715, 0) | B1ft |
| (2) |
Notes
B1ft: ft if line finishes at (17 15, 0) (± 5 mins) and starts at height 39km
| Scheme | Marks |
|---|---|
| 13 25 to 1330 | B1 |
| 1625 to 1630 | B1 |
| (2) |
Notes
B1: Accept 1 25 pm to 1 30 pm
B1: Accept 4 25 pm to 4 30 pm
or ft if line finishes at (17 15, 0) (± 5 mins) and starts at height 39 km
| Scheme | Marks |
|---|---|
| 39 ÷ 1.25 oe (39 ÷ 75 × 60) | M2 |
| 31.2 | A1 |
| (3) | |
| (Total 9 marks) |
Notes
M2: M1 for 39 ÷ 1.15 (=33.9..) or 39 ÷ 75 (= 0.52)