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.

1,291.

Find the size of the angle marked x in the diagram.

A.

108o

B.

112o

C.

128o

D.

142o

Correct answer is C

x + 52o = 90

x = 90 - 52

x = 38o

k = opposite angle Z

k = 38o

y + k = 90o

y + 38o = 90o

y = 90o - 38o

y = 52o

y = x = 180o(sum of angles on straight line)

52 + x = 180o

x = 180 - 52

x = 128

1,292.

In the diagram, PO and OR are radii, |PQ| = |QR| and reflex < PQR is 240o. Calculate the value x

A.

60o

B.

55o

C.

50o

D.

45o

Correct answer is A

< Q = \(\frac{240}{2}\) (angle at centre twice that at the circumference)

< Q = 120o

Also < POR = 360 - 240

= 120o

( < s at centre) since /PQ/ = /QR/, < x = < R

Byt < x + < R + O + Q = 360 (sum of interior < s of quadrilateral)

x + R + 120 = 360o

x + R = 360 - 240 = 120; Since x = R

x + x = 120

2x = 120

Since x = R

x + x = 120

2x = 120

x = \(\frac{120}{2}\)

= 60o

1,293.

The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?

A.

\(\bigtriangleup\) PQK

B.

\(\bigtriangleup\) PKS

C.

\(\bigtriangleup\) SKR

D.

\(\bigtriangleup\) PSR

Correct answer is C

No explanation has been provided for this answer.

1,295.

If 27x = 9y. Find the value of \(\frac{x}{y}\)

A.

\(\frac{1}{3}\)

B.

\(\frac{2}{3}\)

C.

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

D.

3

Correct answer is B

27x = 9y

33x = 32y

3x = 2y