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.

2,886.

Simplify \(3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}\)

A.

\(7\sqrt{3}\)

B.

\(10\sqrt{3}\)

C.

\(14\sqrt{3}\)

D.

\(18\sqrt{3}\)

Correct answer is C

\(3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}\)

= \(3(\sqrt{4 \times 3}) + 10\sqrt{3} - (\frac{6}{\sqrt{3}})(\frac{\sqrt{3}}{\sqrt{3}})\)

= \(6\sqrt{3} + 10\sqrt{3} - 2\sqrt{3}\)

= \(14\sqrt{3}\)

2,887.

The volume of a cylinder of radius 14cm is 210cm3. What is the curved surface area of the cylinder?

A.

15cm2

B.

30cm2

C.

616cm2

D.

1262cm2

Correct answer is B

\(V = \pi r^2 h\\
210 = \frac{22}{7} \times 14^2 \times h \\
h = \frac{210}{22 \times 28}\)
Curved surface area \(= 2r\pi h\\
= 2 \times \frac{22}{7} \times 14 \times \frac{210}{22 \times 26} = 30cm^2\)

2,888.

The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find, correct to 2 decimal places, |PQ|.

A.

35.75m

B.

25.00m

C.

22.98m

D.

19.28

Correct answer is A

\(\tan 40° = \frac{30}{|PQ|}\)

\(|PQ| = \frac{30}{\tan 40°} = \frac{30}{0.839}\)

= 35.75m

2,889.

In the diagram, |SR| = |RQ| and ∠PRQ = 58o ∠VQT = 19o, PQT, SQV and PSR are straight lines. Find ∠QPS

A.

42o

B.

39o

C.

38o

D.

30o

Correct answer is A

No explanation has been provided for this answer.

2,890.

Simplify \(\frac{2^{\frac{1}{2}}\times 8^{\frac{1}{2}}}{4}\)

A.

1

B.

2

C.

4

D.

16

Correct answer is A

\(\frac{2^{\frac{1}{2}}\times 8^{\frac{1}{2}}}{4}\\=\frac{2^{\frac{1}{2}}\times 2^{\frac{3}{2}}}{2^2}\\=2^{\frac{1}{2}}+2^{\frac{3}{2}}-2=2^0 = 1\)