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.
From a point P, Q is 5km due West and R is12km due South of Q. Find the distance between P and R.
5km
12km
13km
17km
Correct answer is C
Using Pythagoras theorem
PR\(^2\) = 5\(^2\) + 12\(^2\)
25 + 144 = 169
PR = √(169)= 13km
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210
1050
21400
25200
Correct answer is A
To form words having 3 consonants and 2 vowels out of 7 consonants and 4 vowels, the number of such words is 7/3C x 4/2C = 35 x 6
= 210
\(\frac{1}{16}\)
\(\frac{1}{6}\)
\(\frac{1}{4}\)
\(\frac{3}{8}\)
Correct answer is C
P( tail on a coin) = \(\frac{1}{2}\)
Even numbers on a care 2, 4 and 6
P( even number on a die) = \(\frac{3}{6}\) = \(\frac{1}{2}\)
P( tail on a coin and even number on a die) = \(\frac{1}{2}\) x \(\frac{1}{2}\) = \(\frac{1}{4}\)
Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx
1.47
2.67
3.23
3.47
Correct answer is D
∫\(\frac{5}{x}\) dx = 5 ∫\(\frac{1}{x}\) = 5Inx
Since the integral of \(\frac{1}{x}\) is Inx
∫\(^2\) \(_1\)∫ \(\frac{5}{x}\) dx = 5
dx = 5 (In<2 – InIn1)
= 3.4657
= 3.47
Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10
0
1
26
46
Correct answer is C
Since they are of different base, convert to base 10
243\(_{six}\) = (2 x 62) + (4 x 61) + (3 x 60)
= 72 + 24 + 3 = 99 base 10
243\(_{six}\) = 2 x 52 + 4 x 51 +3 x 50
50 + 20 + 3 = 73 base 10
Subtracting them, 99 - 73
= 26