Kenya KCSE · Mathematics

Geometry, vectors and transformation

8 practice questions, each with the answer and an explanation.

Practise Geometry, vectors and transformation now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 8 questions

  1. A ship leaves port P and sails 12 km due north, then 5 km due east. How far is it from P?
  2. The position vectors of A and B are (2, 3) and (8, 11). What is the length of AB?
  3. Two similar triangles have areas 18 cm2 and 50 cm2. What is the ratio of corresponding sides?
  4. A point (3, 4) is reflected in the line y = x and then translated by the vector (2, -1). What are the coordinates of the final image?
  5. An enlargement with centre the origin and scale factor 3 maps the triangle of area 4 cm2 onto its image. What is the area of the image?
  6. The bearing of B from A is 070 degrees. What is the bearing of A from B?
  7. In triangle ABC, AB = 8 cm, AC = 6 cm and angle A = 60 degrees. Find the area of the triangle.
  8. A chord of length 16 cm is 6 cm from the centre of a circle. What is the radius?

Keep practising

More Kenya KCSE topics

All Kenya KCSE practice →

Ready for the full Kenya KCSE test?

Take a mock testKenya KCSE hub