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.
A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
9cm
\(\sqrt{65}\)cm
\(4\sqrt{2}\)cm
7cm
6.5cm
Correct answer is B
Given a cuboid, the diagonal cuts a face of the cuboid into 2 right-angled triangles.
Hence, using the Pythagoras theorem, we have
\(9^{2} = 4^{2} + x^{2}\)
\(81 = 16 + x^{2}\)
\(x^{2} = 81 - 16 = 65\)
\(\therefore x = \sqrt{65} cm\)
Which of the following fractions is less than one-third?
\(\frac{22}{63}\)
\(\frac{4}{11}\)
\(\frac{15}{46}\)
\(\frac{33}{98}\)
\(\frac{122}{303}\)
Correct answer is C
All others are greater than 0.333 when converted to their fractions except \(\frac{15}{46}\)
29
26
24
25
23
Correct answer is B
Arranging the scores in ascending order:
12, 17, 25, 25, 25, 25, 26, 26, 26, 29, 29, 29, 35, 35.
The median is the average of the 7th and 8th marks.
= \(\frac{26 + 26}{2} = 26\)
x < 5
x < 7\(\frac{1}{2}\)
x > 5
x > 7\(\frac{1}{2}\)
Correct answer is A
\(\frac{x}{2} - \frac{1}{3} < \frac{2x}{5} + \frac{1}{6}\)
\(\frac{x}{2} - \frac{2x}{5} < \frac{1}{6} + \frac{1}{3}\)
\(\frac{x}{10} < \frac{1}{2}\)
\(2x < 10 \implies x < 5\)
24
42
74
47
72
Correct answer is D
Let the tens digits of the number be x and the unit digit be y
3x = 2y - 2
3x - 2y = -2.......(i)
If the digits are interchanged, the tens digit becomes y, the unit digit becomes x. Hence 2(10x + y) = 10y + x + 20
(20x + 2y) - (10y + x) = 20
19x - 8y = 20.....(ii)
Multiply eqn.(i) by 8 and eqn.(ii) by 2
24x - 16y = -16......(iii)
38x - 16y = 40........(iv)
eqn(iv) - eqn(iii)
14x = 56
x = 4
Sub. for x = 4 in eqn(i)
3(4) - 2y = -2
14 = 2y
y = 7
So the original number is 10(4) + 7
i.e. 10x + y
= 47