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.
\(\frac{m}{2}-3\le 10\)
\(\frac{m}{2}-3\ge 10\)
\(\frac{m-3}{2}\ge10\)
\(\frac{m-3}{2}\le10\)
Correct answer is C
Total number of mangoes = m
Amina ate 3 mangoes \(\implies\) Remainder = m - 3
Shared equally with Uche \(\implies \frac{m - 3}{2}\)
\(\frac{m - 3}{2} \geq 10\)
2cm
5cm
8cm
15cm
Correct answer is B
Volume of water after 9 seconds = \(5\pi \times 9 = 45\pi cm^3\)
Volume of cylinder = \(\pi r^2 h\)
\(\therefore \pi r^2 h = 45\pi\)
\(\pi \times 3^2 \times h = 45\pi\)
\(\implies 9h = 45 \)
\(h = 5 cm\)
(where h = height of the water after 9 secs)
24cm
36cm
72cm
144cm
Correct answer is B
Area = \(\frac{1}{2} \times base \times height\)
\(height : base = 1 : 3\)
\(\implies base = 3 \times height\)
Let height = h;
Area = \(\frac{1}{2} \times 3h \times h = 216\)
\(3h^2 = 216 \times 2 = 432\)
\(h^2 = \frac{432}{3} = 144\)
\(h = \sqrt{144} = 12.0 cm\)
\(\therefore base = 3 \times 12 = 36 cm\)
A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed
\(\frac{2x + 2y}{3}kmh^{-1}\)
\(\frac{x + y}{3}kmh^{-1}\)
\(\frac{x + 2y}{3}kmh^{-1}\)
\(\frac{2x + y}{3}kmh^{-1}\)
Correct answer is C
Travelled x km/h for 1 hour \(\therefore\) traveled x km in the first hour.
Traveled y km/h for 2 hours \(\therefore\) traveled 2y km in the next 2 hours.
Average speed = \(\frac{x + 2y}{1 + 2}\)
= \(\frac{x + 2y}{3} kmh^{-1}\)
2x = 3(y - 1)
4x - y = 1
3y + 2x = 3
3y = 2 (x + 3)
Correct answer is A
24\(_x\) = 31\(_y\)
\(2 \times x^1 + 4 \times x^0 = 3 \times y^1 + 1 \times y^0\)
\(2x + 4 = 3y + 1 \implies 2x = 3y + 1 - 4\)
\(2x = 3y - 3 = 3(y - 1)\)