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WAEC WASSCE Mathematics 2011 past questions and answers

This 2011 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 2011 set with instant marking.

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Sample WAEC WASSCE Mathematics 2011 questions

1. Find the area of a 90-degree sector of a circle of radius 7 cm, using pi = 22/7.
  1. 38.5 cm^2
  2. 77 cm^2
  3. 154 cm^2
  4. 19.25 cm^2

Answer: A. 38.5 cm^2

The sector is one quarter of the circle, so its area is (1/4) x (22/7) x 7^2 = 38.5 cm^2.

2. The mean of 4, 6, 8, 10 and x is 8; find x.
  1. 10
  2. 12
  3. 14
  4. 16

Answer: B. 12

The five numbers must sum to 40, and the first four sum to 28, so x = 12.

3. A bag contains 5 red, 3 blue and 2 green counters; what is the probability of selecting a counter that is not blue?
  1. 3/10
  2. 1/2
  3. 7/10
  4. 4/5

Answer: C. 7/10

There are 7 non-blue counters among 10 counters, giving a probability of 7/10.

4. If P has coordinates (2, -1) and Q has coordinates (-3, 5), what is the vector PQ?
  1. (5, -6)
  2. (-5, -6)
  3. (5, 6)
  4. (-5, 6)

Answer: D. (-5, 6)

Subtract the coordinates of P from those of Q to obtain (-3 - 2, 5 - (-1)) = (-5, 6).

5. The mapping (x, y) to (y, -x) represents which transformation about the origin?
  1. A rotation of 90 degrees clockwise
  2. A rotation of 90 degrees anticlockwise
  3. A reflection in the line y = x
  4. A rotation of 180 degrees

Answer: A. A rotation of 90 degrees clockwise

A quarter-turn clockwise about the origin maps each point (x, y) to (y, -x).

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