Longitude and latitude — KCSE Mathematics

KCSE Mathematics · 95 practice questions · 3 syllabus objectives

29 easy34 medium32 hard

What You'll Learn

Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.

Define great and small circles and locate a place on earth using latitude and longitude

Calculate the distance between two points along great and small circles in nautical miles and km

Calculate time in relation to longitudes and speed in knots and km/h

Sample Questions

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1
easySHORT ANSWER2 marks

State the speed in knots of a ship that travels 240 nautical miles in 12 hours. (2 marks)

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Part (a) — 2 marks
Speed = Distance / Time = 240 nm / 12 h (1 mk)
Speed = 20 knots (1 mk)
2
easySHORT ANSWER2 marks

State the time difference in hours between two places at longitudes 30°E and 90°E. (2 marks)

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Part (a) — 2 marks
Longitude difference = 90°E - 30°E = 60° (1 mk)
Time difference = 60° / 15° = 4 hours (1 mk)
3
easySHORT ANSWER2 marks

State the distance in nautical miles from point C at (0°, 60°W) to point D at (30°N, 60°W) along the meridian. (2 marks)

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Part (a) — 2 marks
Angular distance = 30° − 0° (1 mk)
Distance = (30 / 360) × 2πR (in nautical miles) (1 mk)
4

State the distance in kilometres between point A located at (15°N, 30°E) and point B located at (15°N, 45°E) along the parallel of latitude. (2 marks)

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Why Practise Longitude and latitude?

KNEC Aligned

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