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.

HOT! Click here to get our updates directly on your WhatsApp

1,111.

In the diagram, O is the centre of the circle of the circle, PR is a tangent to the circle at Q < SOQ = 86^o. Calculate the value of < SQR.

43^o

47^o

54^o

86^o

View answer & explanation

Correct answer is A

Construction: draw a line from Q to point P and another line from S to point P.

< SOQ = 2< QPS (< at centre is twice < on the circumference)

< QPS \(\frac{86}{2} = 43\)

< SQR = < QPS ( < between a chord and tangent = < in the alternate segment)

< SQR = 43^o

1,112.

Determine the value of m in the diagram

80^o

90^o

110^o

150^o

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,113.

In the figures, PQ is a tangent to the circle at R and UT is parallel to PQ. if < TRQ = x^o, find < URT in terms of x

2x^o

(90 - x)^o

(90 + x)^o

(180 - 2x)^o

View answer & explanation

Correct answer is D

< URT = < TRQ (angle alternate a tangent and a chord equal to angle in the alternate segment)

< RUT = x^o

In \(\bigtriangleup\) URT

< RUT + < RUT + < UTR = 180^o (sum of int. < s of \(\bigtriangleup\))

< URT + x + x = 180^o

< URT = 180^o - 2x