Mathematics questions and answers

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.

146.

Mrs Gabriel is pregnant. The probability that she will give birth to a girl is 1/2 and with  blue eyes is 1/4. What is the probability that she will give birth to a girl with blue eyes? 

A.

1

B.

\(\frac{3}{4}\)

C.

\(\frac{1}{8}\)

D.

\(\frac{1}{4}\)

Correct answer is C

Girl = \(\frac{1}{2}\)

Blue eyes = \(\frac{1}{4}\)

probability that she will give birth to a girl with blue eyes: \(\frac{1}{2}\) x \(\frac{1}{4}\)

= \(\frac{1}{8}\)

147.

Find ∠SON

A.

36º

B.

42º

C.

54º

D.

72º

Correct answer is A

The sum of angles in a triangle = 180º

(180 - 108)º = 72º

Isosceles triangle has both two equal sides and two equal angles.

 ∠OSN =  ∠SON = \(\frac{72}{2}\)

= 36º

148.

In the diagram, MNR is a tangent to the circle centre O at N and ∠NOS = 108°. Find ∠OSN

A.

72°

B.

32°

C.

36°

D.

18°

Correct answer is C

The sum of angles in a triangle = 180º

(180 - 108)º = 72º

Isosceles triangle has both two equal sides and two equal angles.

 ∠OSN =  ∠SON = \(\frac{72}{2}\)

= 36º

149.

Given that sin (5x-28)° = cos (3x-50)", 0°≤ x ≤ 90°, find the value of x.

A.

39

B.

32

C.

21

D.

14

Correct answer is B

using the trial method by inserting each option in the equation.

Inserting 21º: sin([5 x 21] - 28) = cos([3 x 21] - 50)

sin(105 - 28) = cos (63 - 50)

sin 77º = cos 13º 

where:

sin 77º = 0.9744

cos 13º =  0.9744

150.

A boy 14 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.

A.

70º

B.

47º

C.

19º

D.

Correct answer is A

The angle of elevation

= Tan θ = \(\frac{opp}{adj}\)

Tan θ = \(\frac{12+14}{10}\)

Tan θ =  \(\frac{26}{10}\)

θ = Tan\(^{-1}\)(2.6)

θ ≈ 70º