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.
If the total surface area of a solid hemisphere is equal to its volume, find the radius
3.0cm
4.5cm
5.0cm
9.0cm
Correct answer is B
T.S.A of hemisphere = 3\(\pi r^2\)
vol of hemisphere = \(\frac{2}{3} \pi r^3\)
3\(\pi r^2\) = \(\frac{2}{3} \pi r^3\)
3 = \(\frac{2}{3}r\)
9 = 2r
r = \(\frac{9}{2}\)
r = 4.5cm
4.55 litres
7.50 litres
8.10 litres
9.55 litres
Correct answer is A
Vol of a cubiod = L x b x h
v = 13cm x 10cm x 70cm
= 9100cm
Since it is half-filled = \(\frac{9100}{2}\)cm
= 4550cm
4550cm \(\to\) 4.55 litres
10 cm
14 cm
16 cm
20 cm
Correct answer is A
Volume of a cylinder = \(\pi r^2h\)
40\(\pi cm^3\) = \(\pi. 4^2h\)
40\(cm^3\) = 16h
h = 2.5cm/sec
In 4 seconds, 2.5cm x 4
= 10cm
29\(^o\)
57\(^o\)
65\(^o\)
115\(^o\)
Correct answer is B
lac = \(\frac{\theta}{360}\) x 2\(\pi\)r
7.5 = \(\frac{\theta}{360}\) x 2 x \(\frac{22}{7}\) x 7.5
7.5 = \(\frac{330\theta}{2520}\)
\(\theta\) = \(\frac{7.5}{0.1309}\)
\(\theta\) = 57.29
\(\theta\) = 57 \(^o\)
Simplify; 3x - (p - x) - (r - p)
2x - r
2x + r
4x - r
2x - 2p - r
Correct answer is C
3x - (p - x) - ( r - p) = 3x - p + x - r + p = 4x - r