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.

2,881.

In the diagram, \(\bar{PS}\hspace{1mm} and \hspace{1mm}\bar{QT}\) are two altitudes of ∆PQR. Which of the following is equal to ∠RQT?

A.

∠PQT

B.

∠SRP

C.

∠PQR

D.

∠SPR

Correct answer is D

No explanation has been provided for this answer.

2,882.

In the diagram, calculate the value of x

A.

35o

B.

80o

C.

100o

D.

115o

Correct answer is C

x - 35° = 65° (corresponding angles)

x = 65° + 35° = 100°

2,883.

In the diagram, QRT is a straight line. If angle PTR = 90°, angle PRT = 60°, angle PQR = 30° and |PQ| = \(6\sqrt{3}cm\), calculate |RT|

A.

0.3cm

B.

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

C.

3cm

D.

\(3\sqrt{3}cm\)

Correct answer is C

In \(\Delta\) QPT,

\(\frac{PT}{6\sqrt{3}} = \sin 30°\)

PT = \(6\sqrt{3} \times \frac{1}{2} = 3\sqrt{3} cm\)

In \(\Delta\) RPT,

\(\frac{PT}{RT} = \tan 60°\)

\(\frac{3\sqrt{3}}{RT} = \tan 60°\)

\(RT = \frac{3\sqrt{3}}{\sqrt{3}} = 3 cm\)

2,884.

If q oranges are sold for t Naira, how many oranges can be bought for p naira?

A.

\(\frac{p}{2}t\)

B.

\(\frac{qt}{p}\)

C.

\(\frac{q}{pt}\)

D.

\(\frac{pq}{t}\)

Correct answer is D

q oranges = t naira

1 naira = \(\frac{q}{t}\)

p naira = \(p(\frac{q}{t})\)

= \(\frac{pq}{t}\) oranges

2,885.

Factorize m(2a-b)-2n(b-2a)

A.

(2a-b)(2n-m)

B.

(2a+b)(m-2n)

C.

(2a-b)(m+2n)

D.

(2a-b)(m-2n)

Correct answer is C

m(2a - b) - 2n(b - 2a)

= m(2a - b) - (-2n)(2a - b)

= m(2a - b) + 2n(2a - b)

= (m + 2n)(2a - b)