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WAEC WASSCE Mathematics 2022 past questions and answers

This 2022 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 2022 set with instant marking.

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Sample WAEC WASSCE Mathematics 2022 questions

1. Find the midpoint of the line segment joining (2, -1) and (4, 9).
  1. (2, 4)
  2. (3, 4)
  3. (3, 5)
  4. (4, 4)

Answer: B. (3, 4)

The midpoint is ((2 + 4)/2, (-1 + 9)/2) = (3, 4).

2. If sin θ = 3/5 and θ is an acute angle, what is cos θ?
  1. 4/5
  2. 3/4
  3. 5/4
  4. 2/5

Answer: A. 4/5

Using sin² θ + cos² θ = 1 and the positive value for an acute angle gives cos θ = 4/5.

3. Find the mean of 2, 4, 7 and 7.
  1. 4
  2. 4.5
  3. 6
  4. 5

Answer: D. 5

The sum is 20, and 20 divided by 4 values is 5.

4. A cone has radius 3 cm and vertical height 4 cm; what is its volume in terms of π?
  1. 9π cm³
  2. 36π cm³
  3. 12π cm³
  4. 18π cm³

Answer: C. 12π cm³

The cone volume is (1/3)πr²h = (1/3)π(9)(4) = 12π cm³.

5. A bag contains 2 red, 3 blue and 5 green counters; if one is chosen at random, what is the probability that it is not blue?
  1. 3/10
  2. 1/2
  3. 7/10
  4. 4/5

Answer: C. 7/10

Seven of the ten counters are red or green, so the probability is 7/10.

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