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.
5
1
6
3
Correct answer is D
2x + 3 \(\neq\) 2x - 3 for any value of x
∴ for the \(\bigtriangleup\) to be isosceles, either
2x - 3 = x + 3 or 2x + 3 = x + 3
solve the two equations we arrive at
x = 6 or x = 0
When x = 6, the sides are 9, 15, 9
When x = 0, the sides are 3, 4, -3 since lengths of a \(\bigtriangleup\)can never be negative then the value of x = 6
2\(\pi\)
\(\pi\)
\(\frac{2}{3}\)
\(\frac{\pi}{2}\)
Correct answer is D
Diameter = 8cm
∴ Radius = 4cm
Length of arc = \(\frac{\theta}{360}\) x 2 \(\pi\)r but Q = 22\(\frac{1}{2}\)
∴ Length \(\frac{22\frac{1}{2}}{360}\) x 2 x \(\pi\) x 4
= \(\frac{22\frac{1}{2} \times 8\pi}{360}\)
= \(\frac{180}{360}\)
= \(\frac{\pi}{2}\)
A rectangular polygon has 150o as the size of each interior angle. How many sides has the polygon?
12
10
9
8
Correct answer is A
A rectangular polygon has each interior angle to be 150o
let the polygon has n-sides
therefore, Total interior angle 150 x n = 150n
hence 150n = (2n - 4)90
150n = 180n - 360
360 = (180 - 150)n
30n = 360
n = 12
N828.00
N756.00
N720.00
N684.00
Correct answer is C
Initial salary = N540 increment = N36 (every 6 months) Period of increment = 2 yrs and 6 months amount(increment) = N36 x 5 = N180 The man's new salary = N540 = N180 = N720.00
0, 8
-1, \(\frac{5}{3}\)
2, 3
1, -1
Correct answer is B
\(\frac{2k - 1}{k + 1} = \frac{3k + 1}{2k - 1}\)
\((k + 1)(3k + 1) = (2k - 1)(2k - 1)\)
\(3k^{2} + 4k + 1 = 4k^{2} - 4k + 1\)
\(4k^{2} - 3k^{2} - 4k - 4k + 1 - 1 = 0\)
\(k^{2} - 8k = 0\)
\(k(k - 8) = 0\)
\(\therefore \text{k = 0 or 8}\)
The terms of the sequence given k = 0: (1, -1, 1)
\(\implies \text{The common ratio r = -1}\)
The terms of the sequence given k = 8: (9, 15, 25)
\(\implies \text{The common ratio r = } \frac{5}{3}\)
The possible values of the common ratio are -1 and \(\frac{5}{3}\).