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.

2,916.

Given that P = {b, d, e, f} and Q = {a, c, f, g} are subsets of the universal set U = {a,b, c, d, e, f, g}. Find P' ∩ Q

A.

{a,c}

B.

{a, c, d, g}

C.

{c, d, g}

D.

{a, c, g}

Correct answer is D

U = {a, b, c, d, e, f, g} P = {b, d, e, f} Q = {a, c, f, g} P' = {a, c, g} P' ∩ Q = {a, c, g}

2,917.

The variance of a given distribution is 25. What is the standard deviation?

A.

125

B.

75

C.

25

D.

5

Correct answer is D

S.D = \(\sqrt{Variance}\)

= \(\sqrt{25}\)

= 5

2,918.

Simplify \(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\)

A.

\(1\frac{3}{4}\)

B.

\(3\frac{1}{2}\)

C.

\(4\frac{1}{2}\)

D.

\(8\frac{1}{2}\)

Correct answer is C

\(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\\
\frac{21}{4}\div \left(1\frac{4-3}{6}\right)\\
\frac{21}{4}\div \left(1\frac{1}{6}\right)\\
\frac{21}{4} \times \frac{6}{7}= 4\frac{1}{2}\)

2,919.

In the diagram above, ∠PQU=36°, ∠QRT = 29°, PQ||RT. Find ∠PQR

A.

94o

B.

65o

C.

61o

D.

54o

Correct answer is B

< UQR = 29° (alternate angles)

< PQR = < PQU + < UQR

= 36° + 29°

= 65°

2,920.

PQRS is a trapezium in which |PS| = 9cm, |QR| = 15cm, |PQ| = \(2\sqrt{3}, \angle PQR = 90^o and \angle QRS = 30^o\). Calculate the area of the trapezium

A.

\(24\sqrt{3} cm^2\)

B.

\(36\sqrt{3} cm^2\)

C.

\(42\sqrt{3} cm^2\)

D.

\(72\sqrt{3} cm^2\)

Correct answer is A

No explanation has been provided for this answer.