WAEC Mathematics Past Questions & Answers - Page 108

536.

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.

537.

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.

538.

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.

539.

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

540.

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