Foundation June 2018 Paper 2 Q17
17 Viraj cycled from his home to visit his aunt.
He drew this graph to show his journey.
He stopped at a shop 7 km from his home.
(a) State one assumption that Viraj made when he drew his graph. [1]
(b) For how long did Viraj stop at the shop? [1]
(c) Work out Viraj’s average speed between his home and the shop.
Give your answer in metres per minute. [3]
Give your answer in metres per minute. [3]
(d) How can you tell, without doing any calculations, that Viraj’s average speed between his home and the shop is greater than his average speed between the shop and his aunt? [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Valid assumption | 1 | Such as ‘he travelled at a constant speed’ | See AG |
Appendix
Exemplar responses for Q17a
| Response | Mark |
|---|---|
| assume he measured distance correctly | 1 |
| That it was exactly 12km from his home | 1 |
| assume timings were accurate | 1 |
| His speed remained the same | 1 |
| Kept a steady pace | 1 |
| He was travelling at the same rate (whole journey not clearly implied so not clearly incorrect) | 1BOD |
| That he was going at the same speed the whole time (whole time implies from home to aunts) | 0 |
| The speed he was doing | 0 |
| That he had stopped half way for a break (he did stop) | 0 |
| How long he stopped for (he timed his journey) | 0 |
| He travelled at a faster speed between 7km and 12km (not assumed, already measured) | 0 |
| The road was flat (don’t accept comments that just describe the road) | 0 |
| He doesn’t break down (Viraj has already done the journey and used his measurements) | 0 |
| Assumed how long he was in the shop | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 12 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 350 | 3 | B1 7 km = 7000 m and M1 for their 7000/20 If 0 scored SC1 for 12000/58 | B1 implied by 7000 seen Accept 7 as their 7000 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Valid explanation | 1 | Such as ‘graph is steeper on the first part of the journey’ | eg ‘last part of graph is not as steep’ see AG |
Appendix
Exemplar responses for Q17d
| Response | Mark |
|---|---|
| The line has a steeper gradient (assume statement refers to 1st line unless otherwise stated) | 1 |
| The slope is steeper (ignore any mention of acceleration) | 1 |
| 2nd line is not as steep | 1 |
| The gradient is higher and therefore he was quicker | 1 |
| The line is more diagonal showing he was going faster | 0 |
| Because the line is not as steep | 0 |
| the first line is shorter | 0 |
| The strong incline or gradient on the graph (stronger would be ok BOD) | 0 |
| Because the timing from home to the shop | 0 |
| It took him less time | 0 |
| His distance is longer from his house to the shop than the shop to his aunt (adding ‘but he took less time’ would score 1) | 0 |