# 2018 JAMB Mathematics Past Questions & Answers - page 1

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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?

**Correct Option:** D

Find the values of x for which

\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4

**Correct Option:** B

Find \N\

**Correct Option:** C

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

**Correct Option:** D

**Solution**

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?

**Correct Option:** B

Evaluate 5\(^{-3}\) log\(^2\) x 2 \(^{2 \log 3}\)

**A.**\(\frac{1}{8}\)

**B.**1\(\frac{1}{8}\)

**C.**\(\frac{2}{5}\)

**Correct Option:** B

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?

**Correct Option:** C

**Solution**

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

**Correct Option:** B

Find the value of x in the diagram

**Correct Option:** D

**Solution**

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

**Correct Option:** D

**Solution**

\(\frac{3}{4}\) 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 \(\frac{3}{5}\)

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