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.

1,251.

If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?

A.

y = kx

B.

y = \(\frac{k}{x}\)

C.

y = k\(\sqrt{x}\)

D.

y = x + k

Correct answer is B

No explanation has been provided for this answer.

1,252.

Factorise completely: 32x2y - 48x3y3

A.

16x2y(2 - 3xy2)

B.

8xy(4x - 6x2y2)

C.

8x2y(4 - 6xy2)

D.

16xy(2x - 3x2y2)

Correct answer is A

No explanation has been provided for this answer.

1,253.

A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area

A.

20cm2

B.

24cm2

C.

48cm2

D.

96cm2

Correct answer is D

No explanation has been provided for this answer.

1,254.

The volume of a cuboid is 54cm3. If the length, width and height of the cuboid are in the ratio 2:1:1 respectively, find its total surface area

A.

108cm2

B.

90cm2

C.

80cm2

D.

72cm2

Correct answer is B

V = L x B x H

V = \(2x \times x \times x = 2x^3\)

= 54cm3

i.e. 2x3 = 54

x3 = \(\frac{54}{2}\) = 27

x = 3\(\sqrt{27}\)

x = 3

L = 2x i.e. 2 x 3 = 6cm

B = x i.e. x = 3cm

H = x i.e. x = 3cm

but A = 2(LB + LH + BH) = 2(6 x 3) + (6 x 3) + (3 x 3) = 2(18 + 18 + 9) = 2(45)

= 90cm2

1,255.

Find the coefficient of m in the expression of (\(\frac{m}{2} - 1 \frac{1}{2}\)) (m + \(\frac{2}{3}\))

A.

-\(\frac{1}{6}\)

B.

- \(\frac{1}{2}\)

C.

-1

D.

-1\(\frac{1}{6}\)

Correct answer is D

(\(\frac{m}{2} - 1\frac{1}{4}\))(m + \(\frac{2}{3}\))

(\(\frac{m}{2} - \frac{3}{2}\))(\(\frac{m}{1} + \frac{2}{3}\))

= \(\frac{m^2}{3} + \frac{3m}{6} - \frac{6}{6}\)

= \(\frac{2m - 9m}{6}\)

= \(\frac{-7m}{6}\)

= 1\(\frac{1}{6}\)