Quelpr
2 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · May/June 2006 · Paper 2 · Question 12(b)(i)a)

In this question, use π = 3.14 and assume the earth to be a sphere of radius 6370 km. The diagram below, not drawn to scale, shows a sketch of the earth with the North and South poles labelled N and S respectively. The circle of latitude 41°N is shown. Arcs representing circles of longitude 4°E and 74°W are drawn but not labelled.

Copy the sketch above, and draw and label two arcs to represent the Equator

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 12(a)(i)Calculate the length of the diagonal HF[3 marks]
  2. 12(a)(ii)Calculate the area of the parallelogram EFGH.[2 marks]
  3. 12(b)(i)b)Copy the sketch above, and draw and label two arcs to represent the Greenwich Meridian.[1 mark]
  4. 12(b)(ii)a)Insert the points Y and M on your diagram.[2 marks]
  5. 12(b)(ii)b)Calculate, correct to the nearest kilometre, the circumference of the circle of latitude 41°N.[3 marks]
  6. 12(b)(ii)c)Calculate the shortest distance between Y and M measured along the circle of latitude 41°N.[3 marks]

More practice: the rest of this paper · more Geometric Problem Solving (Lines, Angles, Polygons) questions · all CSEC Mathematics past papers