4MA0 Foundation June 2016 Paper 1 Q10
10 Kevin left his home at 1000 to cycle to a lake.
On the way, he stopped at a friend’s house and then continued his journey to the lake.
Here is the distance-time graph for his journey to the lake.
(a) For how many minutes did Kevin stop at his friend’s house? (1)
(b) How far is the lake from Kevin’s home? (1)
Kevin stayed at the lake until 1315
He then cycled, without stopping, at a constant speed from the lake back to his home.
It took Kevin \(1\frac{1}{4}\) hours to cycle home.
(c)
(i) Show all this information on the graph.
(ii) Work out Kevin’s speed as he cycled from the lake back to his home.
(4)| Scheme | Marks |
|---|---|
| 30 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 27 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (i) line from (1215, 27) to (1315, 27) and from (1315, 27) to (1430, 0) | B2 |
| (ii) “27” ÷ 1.25 or \(\dfrac{27}{75} \times 60\) | M1 |
| 21.6 | A1 |
| (4) |
Notes
B2: If not B2 then
B1 for line from (1215, 27) to (1315, 27)
or
line from (1215 + x, 27) to (1330 + x, 0)
x may be 0
M1: Use of distance ÷ time - ft from (b);
accept 27 ÷ 1.15 oe