WAEC Mathematics Past Questions & Answers - Page 4

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.

A.

\(27^0\)

B.

\(28^0\)

C.

\(20^0\)

D.

\(26^0\)

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.

A.

5cm

B.

\(\sqrt5\)cm

C.

3cm

D.

\(\sqrt{ 3}\)cm

Correct answer is D

using Pythagoras theorem

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

   =  \(\sqrt{ 4 - 1}\)

   =  \(\sqrt3\)cm

18.

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

A.

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

B.

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

C.

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

D.

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

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?

A.

44

B.

52

C.

38

D.

18

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?

A.

58.5%

B.

63.2%

C.

38.3%

D.

41.5%

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%