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.

3,366.

Find the value of t in the diagram above

A.

5.6cm

B.

6.5cm

C.

6.6cm

D.

6.8cm

E.

7.0cm

Correct answer is A

t/4 + t = 7/7 + 5 t = 5.6

3,367.

The angles marked in the diagram above are measured in degrees. Find x

A.

15o

B.

24o

C.

30o

D.

36o

E.

48o

Correct answer is B

Sum of exterior angles = 360°

2x + 3x + 2x + 3x + 5x = 360°

15x = 360°

x = 360°/15 = 24°

3,368.

In the diagram above, ML//PQ and NP//QR, if ∠LMN = 40° and ∠MNP = 55°. Find ∠QPR

A.

15o

B.

25o

C.

35o

D.

40o

E.

55o

Correct answer is A

Draw line ANB// ML

< MNA = 40° (alternate angle AB/ ML)

< ANP = 55° - 40° = 15°

< POR = 15° = < ANP (corresponding angles, PN // RQ)

3,369.

In the diagram above, O is the center of the circle QOR is a diameter and ∠PSR is 37°. Find ∠PRQ

A.

37o

B.

53o

C.

65o

D.

127o

E.

147o

Correct answer is B

Construction: Join PQ.

Then < RSP = 37° = < RQP (angles on the same segment)

But < RPQ = 90° (angle in a semi-circle)

\(\therefore\) < PRQ = 180° - (90° + 37°)

 = 53°

3,370.

In the diagram above, O is the center of the circle PQRS and ∠QPS = 36°. Find ∠QOS

A.

36o

B.

72o

C.

108o

D.

144o

E.

288o

Correct answer is B

< QOS = 2 < QPS (angle subtended at the centre)

\(\therefore\) < QOS = 2 x 36° = 72°