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.
30\(\pi\) cm\(^2\)
60\(\pi\) cm\(^2\)
120\(\pi\) cm\(^2\)
150\(\pi\) cm\(^2\)
Correct answer is B
Area of sector = \(\frac{\theta}{360°} \times \pi r^{2}\)
= \(\frac{150}{360} \times \pi \times 12^{2}\)
= 60\(\pi\) cm\(^{2}\)
If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).
65
23
17
91
Correct answer is C
\(\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}\)
= \(3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)\)
= \(21 + 20 - 24\)
= 17
\(\frac{5}{8}\)
\(\frac{5}{16}\)
\(\frac{1}{2}\)
\(\frac{3}{8}\)
Correct answer is A
| x | 1 | 2 | 3 | 4 |
| 1 | 1* | 2* | 3* | 4* |
| 2 | 2* | 4* | 6* | 8 |
| 3 | 3* | 6* | 9 | 12 |
| 4 | 4* | 8 | 12 | 16 |
The numbers that are not greater than 6 are either less than 6 or equal to 6.
P(picking a number not greater than 6) = \(\frac{10}{16}\)
= \(\frac{5}{8}\)
In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h.
12cm
10cm
8cm
5cm
Correct answer is D
From the diagram, PQRS is a rectangle
Area of shaded part = 72sq.cm
But 72 = 3h - 4 + 6h - 4 + 4h
= 72 - 16h - 8
= 16h - 72 + 8
=16h = 80
h = \(\frac{80}{16}\)
= 5cm
Solve \(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)
\(\frac{1}{3}\)
\(\frac{1}{4}\)
\(-\frac{1}{5}\)
\(-\frac{1}{3}\)
Correct answer is D
\(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)
\(5^{2x - 2} \times 5^{x + 1} = 5^{-2}\)
\(2x - 2 + x + 1 = -2\)
\(3x - 1 = -2 \implies 3x = -2 + 1 = -1\)
\(x = -\frac{1}{3}\)