JAMB Mathematics Past Questions & Answers - Page 47

231.

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

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

232.

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

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

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

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

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

233.

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

234.

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°

235.

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°