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.
Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm
25 πcm2
65 πcm2
120 πcm2
156 πcm2
Correct answer is B
L2 = 122 + 52
= 144 + 25
= 169
L = √169
= 13
Curved surface Area = πrL
= 5/1 * 13/1 * π
= 65πcm2
45o
63o
75o
90o
Correct answer is B
Area of a sector = \(\frac{\theta}{360}\times \pi r^2\\55=\frac{\theta}{360}\times \frac{22}{7}\times \frac{10\times 10}{1}\\\theta=\frac{360 \times 55 \times 7}{22 \times 10 \times 10}\\\theta = 63^{\circ}\)
30o
24o
18o
12o
Correct answer is A
Sum of interior ∠s = 1800o
∴(n - 2) 180o = 1800o
180n -360o = 1800o
180n = 1800o + 360o
180n = 2160o
n = 2160o/180o
n = 12 sides
Each exterior ∠ = 360o/n
= 360o/12
= 30o
2
1
-1
-2
Correct answer is C
a * b = ab + 2(a + b + 1)
let e be the identity element
∴ a * e = e * a = a
∴ a * e = a
ae + 2(a + e + 1) = a
ae + 2a + 2e + 2 = a
ae + 2e = a - 2a = 2
(a + 2)e = -a - 2
e = -a-2 / (a+2)
e = -(a+2) / (a+2)
e = -1
Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96
1400
1040
960
920
Correct answer is D
8, 12, 16, .....96
a = 8, d = 4, l = 96, n = 20
\(S_{20} = \frac{n}{2}(2a + (n-1)d\)
\(S_{20} = \frac{20}{2}((2\times 8) + (20-1)\times 4)\)
\(S_{20} = 10(16 + (19\times 4)) = 10 \times 92\)
=920