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.
3
4
6
9
Correct answer is C
\(x\propto \frac{uv}{u+v}\\x = \frac{kuv}{u+v}\\K = \frac{x(u+v)}{uv}\\\frac{3(3+1)}{3\times1}\\\frac{3\times4}{3}\\k = 4\\x=\frac{4uv}{u+v}\\x=\frac{4\times 3\times3}{3+3}\\x=\frac{36}{6}\\x=6\)
{2, 10, 14, 22, 26}
{0, 10, 14, 22, 26}
{2,4, 14, 18, 26}
{0, 2, 6, 22, 26}
Correct answer is A
U = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}
P = {6,12,18,24,30}
Q = {4,8,12,16,20,24,28}
P∪Q = {4,6,8,12,16,18,20,24,28,30}
(P∪Q)c = {2,10,14,22,26}
Find the range of 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3
3/4
5/6
7/6
4/3
Correct answer is D
1/6, 1/3, 3/2, 2/3, 8/9 and 4/3
L.C.M of the denominators = 36
The fraction now becomes
6/36, 12/36, 54/36, 24/36, 32/36 and 48/36
Highest fraction = 54/36
Lowest fraction = 6/36
Range = Highest - Lowest
(54/36) - (6/36)
= 48/36
= 4/3
Find the number of ways of selecting 8 subjects from 12 subjects for an examination
490
495
496
498
Correct answer is B
Combination is the number (n) of ways of selecting a number of (m) of objects from n
\(^{12}C_{8}\frac{12!}{8!(12-8)!}\\=\frac{12!}{8!4!}\\\frac{(12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1)}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}\\After\hspace{1mm} cancelling \hspace{1mm}out \hspace{1mm}we\hspace{1mm} have\\11\times 5\times 9 = 495 \)
Find the variance of 2, 6, 8, 6, 2 and 6
6
5
√6
√5
Correct answer is B
mean of X = x = (2+6+8+6+2+6)/6 = 30/6 = 5
X → 2,6,8,6,2,6
X - x = -3, 1, 3, 1, 3, 1
(X - x)2 = 9, 1, 9, 1, 9, 1
∑(X-x) = 9+1+9+1+9+1 = 30
Variance = ∑(X-x)2/n = 30/6 = 5