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 regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is
36\(\pi\)cm2
54\(\sqrt{3}\)cm2
\(\sqrt{3}\)cm2
\(\frac{1}{x - 1}\)
Correct answer is B
Sum of interior angle of hexagon = [2(6) - 4]90°
= 720°
sum of central angle = 360°
Each central angle = \(\frac{360}{6}\)
= 60°
Area of Hexagon = \(\frac{1}{2}\) x 6 x 6 sin 60°
\(\frac{36 \times 6\sqrt{3}}{2 \times 2}\)
= \(54 \sqrt{3}\)cm2
12cm
6cm
6\(\sqrt{2}\)cm
12\(\sqrt{2}\)cm
Correct answer is C
\(\frac{6}{\sin 30}\) = \(\frac{x}{\sin 135}\)
\(\frac{6}{\sin 30}\) = \(\frac{x}{\sin 45}\)
x = \(\frac{6 \times \sin 45}{\sin 30}\)
= \(6 \sqrt{2}\)cm
An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is
351
531
135
153
Correct answer is A
1st term a = 11, 4th term = 32
nth term = a + (n - 1)d
4th term = 11 = (4 - 1)d
= 11 + 3d
= 32
3d = 21
d = 7
sn = n(2a + (n - 1)d)
sn = \(\frac{9}{2}\)(2 \times 11) + (9 - 1)7
\(\frac{9}{2}\)(22 + 56) = \(\frac{9}{2}\) x 78
= 351
\(\frac{860}{3}\)
\(\frac{680}{3}\)
\(\frac{608}{3}\)
\(\frac{680}{3}\)
Correct answer is B
a = 153 - 1st term, 6th term = \(\frac{17}{27}\)
nth term = arn
Sn = a(1 - rn) where r < 1
6th term = 153\(\frac{1 - 0.4^4}{1 - 0.4}\)
= \(\frac{680}{3}\)
A pyramid is constructed on a cuboid. The figure has
Twelve faces
Thirteen vertices
Fourteen edges
Fifteen edges
Sixteen edges
Correct answer is E
The pyramid has 8 edges in itself while the cuboid has 12 edges. When merging the two shapes together, the edge of the base of the pyramid becomes same as the edges of the top of the cuboid.
Hence, the new structure will have (12 + 8) - 4 = 16 edges.