WAEC Mathematics Past Questions & Answers - Page 4

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16.

Mrs Kebeh stands at a distance of 110 m away from a building of vertical height 58 m. If Kebeh is 2 m tall, find the angle of elevation of the top of the building from her eye.

\(27^0\)

\(28^0\)

\(20^0\)

\(26^0\)

View answer & explanation

Correct answer is A

Tan\(\theta = \frac{opp}{adj}\)

Tan\(\theta = \frac{56}{110}\)

\(\theta = tan^1(0.5091)\)

therefore, \(\theta\) = 27° ( to the nearest degree)

17.

An equilateral triangle has a side 2 cm. Calculate the height of the triangle.

5cm

\(\sqrt5\)cm

3cm

\(\sqrt{ 3}\)cm

View answer & explanation

Correct answer is D

using Pythagoras theorem

H = \(\sqrt{ 2^2 - 1^2}\)

= \(\sqrt{ 4 - 1}\)

= \(\sqrt3\)cm

18.

Factorize completely: \(x^2 - (y + z)^2\)

(x - y - z)(x - y - z)

(x + y + z)(x - y - z)

(x + y + z)(x + y - z)

(x + y - z)(x - y + z)

View answer & explanation

Correct answer is B

\(x^2 - (y + z)^2\)

Using difference of two squares (\(a^2 - b^2 = (a + b)(a - b)|)
⇒ (x + (y + z))(x - (y + z))
⇒ (x + y + z)(x - y - z)

19.

How many students scored at least 3 marks?

View answer & explanation

Correct answer is A

Number of students that scored at least 3 marks = 9 + 1 + 12 + 7 + 5 + 10 = 44

20.

What percentage of the students scored at most 5 marks?

58.5%

63.2%

38.3%

41.5%

View answer & explanation

Correct answer is A

Number of students that scored at most 5 marks = 12 + 1 + 9 + 6 + 3 = 31

% of student = \(\frac{31}{53} \times 100%\) = 58.5%

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WAEC Mathematics Past Questions & Answers - Page 4

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