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.
16cm
17cm
18cm
20cm
Correct answer is B
From the diagram
\(r^2 = B^2 + 15^2\\
= 64 + 225\\
r = \sqrt{289} = 17cm\)
\(9\pi cm^2\)
\(15\pi cm^2\)
\(16\pi cm^2\)
\(20\pi cm^2\)
Correct answer is B
Curved surface area or a cone \(=\pi rl\)
from the information \(l^2 = 4^2 + 3^2 = 16+9\\
l = \sqrt{25} = 5; ∴ C.S.A\hspace{1mm} = \frac{22}{7}\times 3 \times 5\\
Since \frac{22}{7}=\pi ∴ C.S.A\hspace{1mm} =\hspace{1mm}15\pi\)
\(5\frac{1}{3}cm^3\)
\(10\frac{2}{3}cm^3\)
\(16cm^3\)
\(32cm^3\)
Correct answer is B
No explanation has been provided for this answer.
8m
9m
10m
13m
Correct answer is A
Given, Length of minor arc = 5.5m
Angle subtended by minor arc = 360° - 210° = 150°
\(\therefore 5.5 = \frac{150}{360} \times 2 \times \frac{22}{7} \times r \)
\(\frac{55r}{21} = 5.5\)
\(r = \frac{5.5 \times 21}{55}\)
r = 2.1m
Length of major arc = \(\frac{210}{360} \times 2 \times \frac{22}{7} \times 2.1\)
= \(7.7m \approxeq 8m\) (to the nearest metre)
In the diagram, PQ is the diameter of the circle and ∠PRS = 58°. Find ∠STQ.
29o
32o
42o
53o
Correct answer is B
In \(\Delta\) PRQ, < SRQ = 90° - 58°
< SRQ = < QTS = x (angles in the segment)
\(\therefore\) x = 32°