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.

1,951.

If f(x - 2) = 3x2 + 4x + 1. Find the area of the sector

A.

8

B.

40

C.

7

D.

24

E.

32

Correct answer is B

f(x - 2) = 3x2 + 4x + 1

f(1) will be f(3 - 2)

When x = 3, f(1) = 3(3)2 + 4 x 3 = 1

27 + 12 +1 = 40

1,952.

Find the median of the set of numbers 110, 116, 113, 119, 118, 127, 118, 117, 113

A.

117.5

B.

118

C.

117

D.

116

E.

113

Correct answer is C

Re-arrange in ascending order: 110, 113, 113, 116, |117|, 118, 119, 127 a= 117

1,953.

A man bought wrist watch for N150 but was only able to sell it for N120. Find the loss per cent on the transaction

A.

25%

B.

11%

C.

20%

D.

80%

E.

30%

Correct answer is C

Loss% = \(\frac{\text{actual loss}}{\text{cost price}}\) x 100%

\(\frac{N150 - N120}{N150} \times 100%\)

\(\frac{N30}{N150} \times 100%\)

= 20%

1,954.

What is the least possible value of \(\frac{9}{1 + 2x^2}\) if 0 \(\geq\) x \(\geq\) 2?

A.

9

B.

5

C.

1

D.

2

Correct answer is C

0 \(\geq\) x \(\geq\) 2 \(\to\) 0, 1, 2

If x = 0, \(\frac{9}{1 + 2x^2}\)

\(\frac{9}{1 + 2(0)^2}\) = \(\frac{9}{1}\)

= 3

If x = 2, \(\frac{9}{1 + 2(1)^2}\)

= \(\frac{9}{3}\)

= 3

If x = 2, \(\frac{9}{1 + 2(2)^2}\)

= \(\frac{9}{9}\)

= 1

The least value of \(\frac{9}{1 + 2x^2}\) is 1 when x = 2

1,955.

Which of the following lines is not parallel to the line 3y + 2x + 7 = 0?

A.

3y + 2x - 7 = 0

B.

9y + 6x + 17 = 0

C.

24y + 16x + 19 = 0

D.

3y - 2x + 7 = 0

E.

15y + 10x - 13 = 0

Correct answer is D

Two lines are said to be parallel if the slope of the two lines are equal.

The equation : \(3y + 2x + 7 = 0\)

\(3y = -2x - 7\)

\(y = \frac{-2}{3} x - \frac{7}{3}\)

\(\frac{\mathrm d y}{\mathrm d x} = - \frac{2}{3}\)

All the options have the same slope except \(3y - 2x + 7 = 0\).