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WAEC WASSCE Mathematics 2005 past questions and answers

This 2005 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 2005 set with instant marking.

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Sample WAEC WASSCE Mathematics 2005 questions

1. Solve 3x - 5 = 16.
  1. 5
  2. 7
  3. 8
  4. 11

Answer: B. 7

Adding 5 and dividing by 3 gives x = 7.

2. Find (x, y) if 2x + y = 11 and x - y = 1.
  1. (3, 5)
  2. (5, 1)
  3. (2, 7)
  4. (4, 3)

Answer: D. (4, 3)

Adding the equations gives 3x = 12, so x = 4 and y = 3.

3. What are the roots of x^2 - 5x + 6 = 0?
  1. 2 and 3
  2. -2 and -3
  3. 1 and 6
  4. -1 and -6

Answer: A. 2 and 3

The expression factors as (x - 2)(x - 3) = 0.

4. Solve 2(3x - 1) <= 4x + 8.
  1. x >= 5
  2. x < 5
  3. x <= 5
  4. x > 5

Answer: C. x <= 5

Simplifying gives 6x - 2 <= 4x + 8, hence x <= 5.

5. A sum of 64 is divided in the ratio 3:5; what is the smaller share?
  1. 24
  2. 32
  3. 40
  4. 16

Answer: A. 24

The smaller share is 3/8 of 64, which is 24.

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