2018 - JAMB Mathematics Past Questions and Answers - page 1
In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
Find the values of x for which
\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4
If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6
Pr(product of x and y NOT > 6 ) = \(\frac{8}{16}\) = \(\frac{1}{2}\)
The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?
Evaluate 5\(^{-3}\) log\(^2\) x 2 \(^{2 \log 3}\)
A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?
Profit (P) = 10\(_x\) − \(_x\)2
At max profit, the differential of profit with respect to number of bags(x) = 0
Hence,\(\frac{dp}{dx}\) = 0
\(\frac{dp}{dx}\) = 10 - 2x = 0
10 = 2x
Then x = \(\frac{10}{2}\) = 5
If y = 23\(_{five}\) 101\(_{three}\) , find y, leaving your answer in base two
Find the value of x in the diagram
Total angle at a point = 360
x - 10 + 4x - 50 + 2x + 3x + 20 = 360
10x - 40 = 360
10x = 360 + 40
10x = 400
x = \(\frac{400}{10}\)
x = 40
Solve for t in the equation \(\frac{3}{4}\)t + \(\frac{1}{3}\)(21 - t) = 11
\(\frac{3}{4}\) t + \(\frac{1}{3}\) (21 - t) = 11
Multiply through by the LCM of 4 and 3 which, that is 12
12 x(\(\frac{3}{4}\) t) + 12 x (\(\frac{1}{3}\) (21 - t)) = (11 x 12)
9t + 4(21 - t) = 132
9t + 84 - 4t = 132
5t + 84 = 132
5t = 132 - 84 = 48
t = \(\frac{48}{5}\)
t = 9 \(\frac{3}{5}\)