Mathematics questions and answers

Mathematics Questions and Answers

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.

706.

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?

A.

7

B.

6

C.

5

D.

4

Correct answer is C

Profit (P) = 10\(_x\) − \(_x\)2

  Maximum profit can be achieved when the differential of profit with respect to number of bags(x) is 0

  i.e. \(\frac{dp}{dx}\) = 0

 \(\frac{dp}{dx}\) = 10 - 2x = 0

  10 = 2x

  Then x = \(\frac{10}{2}\) = 5

  Answer is C

707.

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?

A.

1000

B.

2000

C.

3000

D.

4000

Correct answer is B

Let the angle for school fees = x°

Then Housing = 2x°

120° + 90° + x° + 2x° = 360°

3x° = 150° \(\implies\) x° = 50°.

Amount spent on housing = \(\frac{100}{360} \times 7200\)

= N2000.

708.

Find the values of x for which

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

A.

x < 8

B.

x > -6

C.

x < 4

D.

x > -3

Correct answer is B

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

\(\frac{3(x + 2) - 4(2x - 3)}{12} < 4\)

\(3x + 6 - 8x + 12 < 48 \)

\(18 - 5x < 48 \implies -5x < 30\)

\(\therefore x > -6\)

709.

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?

A.

4

B.

8

C.

16

D.

20

Correct answer is D

Let the number of people that offer both Mathematics and Physics = y

Then, \((32 - y) + y + (24 - y) + 4 = 40\)

\(60 - y = 40 \implies y = 20\)

\(\therefore\) 20 students offer both Mathematics and Physics.

710.

What is the product of 2x2 − x + 1 and 3 − 2x

A.

4x3 − 8x2 + 5x + 3

B.

−4x3 + 8x2 − 5x + 3

C.

−4x3 − 8x2 + 5x + 3

D.

4x3 + 8x2 − 5x + 3

Correct answer is B

(2x2 - x + 1) × (3 - 2x);

3(2x2 - x + 1) - 2x (2x2 - x + 1)

6x2 - 3x + 3 - 4x3 + 2x2 - 2x

-4x3 + 8x2 -5x + 3