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.

476.

Express \((0.0439 \div 3.62)\) as a fraction.

A.

\(\frac{21}{100}\)

B.

\(\frac{21}{1000}\)

C.

\(\frac{12}{1000}\)

D.

\(\frac{12}{100}\)

Correct answer is C

\((0.0439 \div 3.62)\)

= 0.01213

\(\approxeq\) 0.012

= \(\frac{12}{1000}\)

477.

If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

A.

\(\frac{\pi h}{3} (2R + r)\)

B.

\(2R + r + \frac{\pi h}{3}\)

C.

\(\frac{\pi h}{3} (2R^2 + r + 2r)\)

D.

\(\frac{2R^2}{3} \pi h\)

Correct answer is A

\(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\)

\(V = \frac{\pi R^2 h}{3} + \frac{\pi Rr h}{3} + \frac{\pi r^2 h}{3}\)

\(\frac{\mathrm d V}{\mathrm d R} = \frac{2 \pi R h}{3} + \frac{\pi r h}{3}\)

= \(\frac{\pi}{3} (2R + r)\)

478.

A man bought a car newly for ₦1,250,000. He had a crash with the car and later sold it at the rate of ₦1,085,000. What is the percentage gain or loss of the man?

A.

43.7% loss

B.

13.2% gain

C.

13.2% loss

D.

43.7% gain

Correct answer is C

Cost price of the car = N 1,250.00

Selling price = N 1,085.00

Loss = N (1250 - 1085)

= N 165.00

% loss = \(\frac{165}{1250} \times 100%\)

= 13.2% loss

479.

Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

A.

1080°

B.

1260°

C.

2160°

D.

1800°

Correct answer is B

Since each interior angle = 140°;

Each exterior angle = 180° - 140° = 40°

Number of sides of the polygon = \(\frac{360°}{40°}\)

= 9 

Sum of angles in the polygon = 140° x 9

= 1260°

480.

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

A.

26°

B.

13°

C.

80°

D.

102°

Correct answer is D

< BAC = \(\frac{130}{2}\) (angle subtended at the centre)

< BAC = 65°

Also, x = 26° (theorem)

y = 65° - 26° = 39°

< AOC = 180° - (39° + 39°)

= 102°