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Primary General Studies, Maps and Directions, Paper 3: scale, contours and hiking routes

Primary General Studies, Maps and Directions, Paper 3: scale, contours and hiking routes

  • 2026-10-31

Primary General Studies, Maps and Directions, Paper 3: scale, contours and hiking routes

Ten items on 1:20,000 and 1:50,000 scale conversion, bearings, legend colours, contour intervals and height gain, hiking speed, scale from a real distance, V-shaped contours and gradient percentages.

Focus Map distance times the scale gives real distance, and centimetres become kilometres after dividing by 100,000; east is 90 degrees clockwise from north; blue in the legend is water; height gain divided by the contour interval gives the number of intervals; speed is distance over time; convert a real distance to centimetres then divide by the map length for the scale; a V pointing uphill is a valley; gradient is rise over run.

01 Paper details (check answers afterwards)

Item Detail
Questions 10
Suggested time 25
Difficulty mix Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1
Chapter Chapter: Primary General Studies: Maps and Directions
Level P4 to P6

02 Questions (10 items)

  1. FoundationOn a 1:20,000 map, what real distance does 5 cm represent?
  2. FoundationTwo places are 4 cm apart on a 1:50,000 map. What is the real distance in kilometres?
  3. FoundationStarting from north and turning 90 degrees clockwise, which direction do you face?
  4. FoundationOn a map legend, what do blue lines usually represent?
  5. IntermediateContours are drawn every 20 m. Walking from the 100 m contour to the 180 m contour, how much do you climb and how many intervals is that?
  6. IntermediateA 3 km trail takes 1 hour of walking, or 1.25 hours including rest. What is the average speed in each case?
  7. IntermediateTwo places are 1.5 km apart in reality and 7.5 cm on the map. What is the scale?
  8. ChallengeContours form a V whose point aims uphill. Is that a valley or a ridge?
  9. ChallengeA route rises 120 m over a horizontal distance of 1,500 m. What is the gradient as a percentage?
  10. Error redoA classmate says 1 cm on any map always equals 1 m on the ground. Is that right?

03 Answers and one-line notes

# Answer One-line note
1 5 × 20,000 = 100,000 cm = 1 km. Multiply by the scale to get centimetres, then divide by 100 for metres.
2 4 × 50,000 = 200,000 cm = 2 km. Divide by 100,000 to turn centimetres into kilometres.
3 East. Among the eight directions, east is 90 degrees from north.
4 Water bodies such as rivers, lakes or coastlines. Green is usually woodland or park, and brown is usually contour lines.
5 180 − 100 = 80 m, which is 4 intervals. Subtract for the height difference, then divide by the contour interval.
6 3 ÷ 1 = 3 km/h and 3 ÷ 1.25 = 2.4 km/h. Speed is distance over time; counting rest time lowers the average.
7 150,000 ÷ 7.5 = 20,000, so the scale is 1:20,000. Convert the real distance to centimetres, then divide by the map length.
8 A valley. A V pointing uphill marks where water flows down. A V pointing downhill marks a ridge, the opposite case.
9 120 ÷ 1,500 = 0.08, that is 8%. Gradient is rise over horizontal run, times 100 for a percentage.
10 No. What 1 cm represents depends on the scale, which differs greatly between maps. Ignoring the scale is the most common error in map questions.

04 What to do after marking

  • After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
  • Repeat the same item two days later; move to the next paper only when both attempts are correct.
  • Parents only need the answer and note columns; there is no need to explain every item.

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