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.

2,446.

The pie chart shows the distribution of students in a secondary school class. If 30 students offered French, how many offered C.R.K?

A.

25

B.

15

C.

10

D.

8

Correct answer is C

Total number of students (y) using the subject French

( 90 / 360 )º x Y = 30

Y = 30 x 4

Y = 120

 History- 90º + French- 90º + Economics- 150º + CRK = 360º


CRK = 360º - 330º = 30º

 

Number that offered CRK:

( 30 / 360 )º x 120 = 10

2,448.

Find the area bounded by the curve y = 3x\(^2\) - 2x + 1, the ordinates x = 1 and x = 3 and the x-axis.

A.

24

B.

22

C.

21

D.

20

Correct answer is D

\(\frac{\mathrm d y}{\mathrm d x} = 3x^{2} - 2x + 1\)

\(y = \int_{1} ^{3} (3x^{2} - 2x + 1) \mathrm d x\)

\(y = [x^{3} - x^{2} + x]_{1} ^{3}\)

= \([3^{3} - 3^{2} + 3] - [1^{3} - 1^{2} + 1]\)

= \(21 - 1 = 20\)

2,449.

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

A.

2x2 - 3x + 5

B.

2x2 - 3x + 3

C.

2x2 - 3x

D.

4

Correct answer is B

∫dy = ∫(4x - 3)dx, y = 2x2 - 3x + C

when y = 5, x = 2, C = 3

y = 2x2 - 3x + 3

2,450.

For what value of x is the tangent to the curve y = x\(^2\) - 4x + 3 parallel to the x-axis?

A.

3

B.

2

C.

1

D.

6

Correct answer is B

At the point where the tangent is parallel to the x- axis, the slope of the curve = 0.

Given: \(y = x^{2} - 4x + 3\)

\(\frac{\mathrm d y}{\mathrm d x} = 2x - 4\)

\(2x - 4 = 0 \implies 2x = 4 \)

\(x = 2\)

When x = 2, the tangent of the curve is parallel to the x- axis.