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.

1,671.

In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135, then PSO is

A.

67\(\frac{1}{2}\)o

B.

22\(\frac{1}{2}\)o

C.

33\(\frac{1}{2}\)o

D.

45o

E.

90o

Correct answer is D

< R = 180o - 45o (sum of angles on a straight line)

< R = < P = 45o (corresponding angles)

< PSO = < P = 45o (\(\bigtriangleup\)PSO is a right angle)

1,672.

In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP

A.

4cm

B.

16cm

C.

9cm

D.

14cm

E.

Impossible, insufficient data

Correct answer is B

\(\frac{PQ}{6 + RT} = \frac{6}{12} = \frac{6}{PS}\)(Similar triangles)

\(\frac{6}{12} = \frac{8}{PS}\)

PS = \(\frac{12 \times 8}{6}\)

= 16cm

1,673.

Find the x co-ordinates of the points of intersection of the two equations in the graph

A.

1, 1

B.

0, 4

C.

0,0

D.

4, 0

E.

4, 9

Correct answer is D

If y = 2x + 1 and y = x2 - 2x + 1

then x2 - 2x + 1 = 2x + 1

x2 - 4x = 0

x(x - 4) = 0

x = 0 or 4

1,674.

In the figure, determine the angle marked y

A.

66o

B.

110o

C.

26o

D.

70o

E.

44o

Correct answer is A

From the diagram, < p = 44o, < Q = 70o

< y = 180o - (70 + 44o) = 66o

1,675.

In the figure, QRS is a line, PSQ = 35o, SPR = 30o and O is the centre of the circle. Find OQP.

A.

35o

B.

30o

C.

130o

D.

25o

E.

65o

Correct answer is D

< PSQ = 35o, < SPR = 30o

O is the centre of the circle, PRQ = 65o

< OQP = 90 - 65

= 25o