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 fair die is tossed once, what is the probability of obtaining neither 5 or 2
\(\frac{5}{6}\)
\(\frac{2}{3}\)
\(\frac{1}{2}\)
\(\frac{1}{6}\)
Correct answer is B
Probability of obtaining a 5 is P(5)=\(\frac{1}{6}\)
Probability of obtaining a 2 is P(2)=\(\frac{1}{6}\)
Probability of obatining either 2 or 5 = P(2∪5) = \(\frac{2}{6}\)
Probability of obtaining neither 5 or 2 = \(1 - \frac{2}{6}=\frac{4}{6}=\frac{2}{3}\)
From a point P, R is 5km due west and 12km due south. Find the distance between P and R
5km
12km
13km
17km
Correct answer is C
Using Pythagoras theorem
\(|PR|^2=|PO|^2+|OR|^2\\
|PR|^2=5^2+12^2\\
|PR|=\sqrt{25+144}=\sqrt{169}=13km\)
A man bought 220 mangoes at N5x. He sold each for 3x kobo and made a gain of N8. Find the value of x
2
5
6
10
Correct answer is B
The cost price of the whole mangoes = N5x
The sold amount of the mangoes = 3x * 220 = N6.60x
The gain made on mangoes = N6.60x - N5x = N8.00 => N1.60x = N8 => \(x=\frac{8}{1.60}=\frac{1}{0.2}=\frac{10}{2}=5\)
Find the equation whose roots are 2 and \(-3\frac{1}{2}\)
2x2 + 3x + 14 = 0
2x2 + 5x + 7 = 0
2x2 + 5x - 7 = 0
2x2 + 3x - 14 = 0
Correct answer is D
x2 (sum of roots)x + (product of roots) = 0
Sum of roots \(2+-3\frac{1}{2} = -1\frac{1}{2}=-\frac{1}{2}\)
Product of roots \(=2 \times -3\frac{1}{2}=-7\\
x^2-\left(\frac{-3}{2}\right)x+(-7)=0\Rightarrow 2x^2 + 3x - 14 = 0\)
Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)
31.12
3.112
2
1
Correct answer is C
\(log_{10}18 - log_{10}2.88+log_{10}16\\
=log_{10}18 - log_{10}\left(\frac{288}{100}\right)+log_{10}16 = log_{10}\left(\frac{18\times 16}{1}\times \frac{100}{288}\right)\\
=log_{10}\left(\frac{288\times 100}{288}\right)=log_{10}100=log_{10}10^2=2log_{10}10=2\)