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.

1,701.

In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XZ = 25cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ

A.

190 sq.cm

B.

20 sq.cm

C.

210 sq.cm

D.

160sq.cm

E.

320sq.cm

Correct answer is C

By Pythagoras, KZ2 = 252 - 52

KZ2 = (25 + 15)(25 - 15) = 400

KZ = \(\sqrt{400}\) = 20

area of XYZ = \(\frac{1}{2} \times 28 \times 15\)

= 210 sq. cm

1,702.

XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ = 5cm and WZ = 4cm, Calculate XY.

A.

5\(\sqrt{3}\)cm

B.

3\(\sqrt{5}\)cm

C.

3\(\sqrt{3}\)cm

D.

5cm

E.

6cm

Correct answer is B

by Pythagoras theorem, XW = 3cm

Also by Pythagoras theorem, XY2 = 62 + 32

XY2 = 36 + 9 = 45

XY = \(\sqrt{45} = 3 \sqrt{3}\)

1,703.

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)

1,704.

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

1,705.

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