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.

3,031.

Simplify 3.72 x 0.025 and express your answer in the standard form

A.

\(9.3\times 10^3\)

B.

\(9.3\times 10^2\)

C.

\(9.3\times 10^{-2}\)

D.

\(9.3\times 10^{-3}\)

Correct answer is C

\(3.72 \times 0.025 = 0.093 = 9.3\times 10^{-2}\)

3,032.

The height of a pyramid on square base is 15cm. If the volume is 80cm\(^3\), find the length of the side of the base

A.

3.3cm

B.

5.3cm

C.

4.0cm

D.

8.0cm

Correct answer is C

Volume = \(\frac{1}{3} b^2 h\)

\(\therefore b = \sqrt{\frac{3v}{h}}\)

\(b = \sqrt{\frac{3(80)}{15}} \)

\(b = \sqrt{16} = 4.0 cm\)

3,033.

In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.

A.

60cm2

B.

50cm2

C.

40cm2

D.

30cm2

Correct answer is D

PR = 4 + 4 = 8 cm

Area of trapezium = \(\frac{1}{2} (a + b) h\)

= \(\frac{1}{2} (4 + 8) \times 5\)

= 30 cm\(^2\)

3,034.

A pole of length L leans against a vertical wall so that it makes an angle of 60o with the horizontal ground. If the top of the pole is 8m above the ground, calculate L.

A.

\(16\sqrt{3}m\)

B.

\(4\sqrt{3}m\)

C.

\(\frac{\sqrt{3}}{16}\)

D.

\(\frac{16\sqrt{3}}{3}\)

Correct answer is D

\(sin 60 = \frac{8}{L} = 8 \div \frac{\sqrt{3}}{2}; L = \frac{8}{sin 60}=\frac{16}{\sqrt{3}}\)
When we rationalize gives \(\frac{16\sqrt{3}}{3}\)

3,035.

The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040°. What is the bearing of A from C

A.

040o

B.

070o

C.

110o

D.

290o

Correct answer is D

< ABC = 40° (alternate angles)

\(\therefore\) < ACB = \(\frac{180° - 40°}{2}\)

= 70°

\(\therefore\) Bearing of A from C = 360° - 70° 

= 290°