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WAEC WASSCE Mathematics 2006 past questions and answers

This 2006 WAEC WASSCE Mathematics set has 40 practice questions. Try these 5 free sample questions, tap a question to reveal the answer and explanation. Then practise the whole 2006 set with instant marking.

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Sample WAEC WASSCE Mathematics 2006 questions

1. Each interior angle of a regular hexagon is
  1. 120 degrees
  2. 108 degrees
  3. 135 degrees
  4. 150 degrees

Answer: A. 120 degrees

The sum of the interior angles is (6 - 2) x 180 = 720 degrees, so each angle is 720/6 = 120 degrees.

2. A chord of a circle is 3 cm from its centre, and the radius is 5 cm; what is the length of the chord?
  1. 6 cm
  2. 8 cm
  3. 10 cm
  4. 4 cm

Answer: B. 8 cm

The perpendicular from the centre bisects the chord, giving half-length sqrt(5^2 - 3^2) = 4 cm and full length 8 cm.

3. Two similar triangles have corresponding side lengths 6 cm and 9 cm; if another side of the smaller triangle is 8 cm, what is the corresponding side of the larger triangle?
  1. 10 cm
  2. 11 cm
  3. 12 cm
  4. 14 cm

Answer: C. 12 cm

The enlargement factor is 9/6 = 1.5, so the corresponding side is 8 x 1.5 = 12 cm.

4. A town Q is 12 km east and 5 km north of town P; what is the bearing of Q from P, measured clockwise from north to the nearest degree?
  1. 023 degrees
  2. 057 degrees
  3. 113 degrees
  4. 067 degrees

Answer: D. 067 degrees

The angle east of north is arctan(12/5), approximately 67 degrees, so the three-figure bearing is 067 degrees.

5. In a right-angled triangle, the side opposite angle theta is 7 cm and the hypotenuse is 25 cm; what is sin(theta)?
  1. 7/25
  2. 24/25
  3. 7/24
  4. 25/7

Answer: A. 7/25

Sine is opposite divided by hypotenuse, so sin(theta) = 7/25.

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