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.
The ratio of the areas of similar triangles is necessarily equal to
the ratio of the corresponding sides
the ratio of the squares of corresponding sides
the ratio of the corresponding heights of the triangles
half the ratio of the corresponding heights of the triangles
the ratio of the corresponding bases to the heights of the triangles
Correct answer is B
The ratio of the areas of two similar triangles is equal to the square of ratio of their corresponding sides.
A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its height
2cm
3cm
4cm
5cm
6cm
Correct answer is B
Area 2\(\pi\)r2 + 2 \(\pi\)r(r + h)
= 2\(\pi\)r(r + h)
36\(\pi\) = 6\(\pi\)(r + h)
36\(\pi\) = 6\(\pi\)(3 + h)
36\(\pi\) = 18\(\pi\) + 6\(\pi\)h
36\(\pi\) - 18\(\pi\) = 6\(\pi\)h
Divide both side by 6\(\pi\)
h = 3cm
Find the roots of the equation 10x2 - 13x - 3 = 0
x = \(\frac{3}{5}\) or -\(\frac{1}{2}\)
x = \(\frac{3}{10}\) or -1
x = \(\frac{3}{10}\) or 1
x = \(\frac{1}{5}\) or \(\frac{-3}{2}\)
x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)
Correct answer is E
10x2 - 13x - 3 = 0 = 10x2 - 15x + 2x - 3 = 0
5x(2x - 3) + 2x - 3 = 0
= (5x + 1)(2x - 3) = 0
5x + 1 = 0 or 2x - 3 = 0
x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)
List all integer values of x satisfying the inequality -1 < 2x - 5 \(\leq\) 5
<2, 3, 4, 5
3, 4, 5
2, 3, 4
3, 4
Correct answer is B
\(-1 < 2x - 5 \leq 5\)
\(\implies -1 + 5 < 2x - 5 + 5 \leq 5 + 5\)
\(4 < 2x \leq 10\)
\(\implies 2 < x \leq 5 \)
= 3, 4, 5.
The median of the set of numbers 4, 9, 4, 13, 7, 14, 10, 17 is
13
7
\(\frac{19}{2}\)
\(\frac{39}{4}\)
10
Correct answer is C
Rearranging in increasing order 4, 4, 7, 9, 10, 13, 14, 17, the
median = \(\frac{(9 + 10)}{2}\)
= \(\frac{19}{2}\)