Foundation June 2018 Paper 2 Q17
17 Here is a map of an island with cities A, B and C.
The straight lines represent roads.
(a) A is due West of B.
Write down the bearing of A from B. [1 mark]
(b) Umar drives from A to B on the route shown.
Kaz drives from B to C on the route shown.
Use the map to work out how much further Umar drives than Kaz.
You must show your working. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| 270 | B1 |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 (working in cm) | ||
| [6.3, 6.7] | B1 | implied by 1300 |
| [2.5, 2.9] and [1.8, 2.2] or [4.5, 4.9] | B1 | implied by 540 and 400 implied by 940 |
| their \(6.5 \times 200\) or 1300 and their \(2.7 \times 200\) or 540 and their \(2 \times 200\) or 400 or their \(6.5 \times 200\) or 1300 and (their 2.7 + their 2) \(\times 200\) or 940 or their \(6.5 \times 200\) or 1300 and their \(4.7 \times 200\) or 940 | M1 | oe 1300 and 540 and 400 implies B2M1 1300 and 940 implies B2M1 distances must be exact if measurements not shown if only one value used for BC from the start, their 4.7 must be \(> 4\) and \(< 6\) |
| their \(1300 -\) their \(540 -\) their 400 or their \(1300 -\) their 940 | M1dep | oe may be implied by correct answer for their distances their 940 must be \(> 800\) and \(< 1200\) |
| Correct answer for their 6.5 and their 2.7 and their 2 with all measurements seen or Correct answer for their 6.5 and their 4.7 with all measurements seen | A1ft | ft their measurements their 4.7 must be \(> 4\) and \(< 6\) |
| Alternative method 2 (working in cm) | ||
| [6.3, 6.7] | B1 | |
| [2.5, 2.9] and [1.8, 2.2] or [4.5, 4.9] | B1 | |
| their \(6.5 -\) their \(2.7 -\) their 2 or their \(6.5 -\) their 4.7 or 1.8 | M1 | oe if only one value used for BC from the start, their 4.7 must be \(> 4\) and \(< 6\) |
| their \(1.8 \times 200\) | M1dep | oe may be implied by correct answer |
| Correct answer for their 6.5 and their 2.7 and their 2 with all measurements seen or Correct answer for their 6.5 and their 4.7 with all measurements seen | A1ft | ft their measurements their 4.7 must be \(> 4\) and \(< 6\) |
Additional guidance
| Allow work in mm but note that they must multiply by 20 for the M1 | |
| Working may be on diagram | |
| Must show measurements to score the A mark and answer must be correct for their original measurements | |
| \(1300 - 940\) and answer 360 (no measurements) | B1B1M1M1A0 |
| \(1300 - 920\) and answer 380 (no measurements) | B1B0M0M0A0 |
| 6.5, 4.6, \(1300 - 920\) and answer 380 | B1B1M1M1A1ft |
| 6.5, 4.2, \(1300 - 840\) and answer 460 | B1B0M1M1A1ft |
| 6.5, 2.6, 2 on diagram, \(1300 - 5 \times 200\) (5 wrong for their values and addition not shown) | B1B1M0M0A0ft |