Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

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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