WAEC Past Questions and Answers - Page 3752

18,756.

If \(\frac{x}{a+1}+\frac{y}{b}\) 1. Make y the subject of the relation

A.

\(\frac{b(a-x+1)}{a+1}\)

B.

\(\frac{a+1}{b(a-x+1)}\)

C.

\(\frac{a(b-x+1)}{b+1}\)

D.

\(\frac{b}{a(b-x+1)}\)

Correct answer is A

If \(\frac{bx+y(a+1)}{b(a+1)}=1\\
bx + ya + y = ba + b; y(a+1) = ba+b-bx\\
y(a+1)=b(a+1-x); y = \frac{b(1+a-x}{a+1}\)

18,757.

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

A.

1920cm2

B.

592cm2

C.

296cm2

D.

148cm2

Correct answer is C

otal surfaced area of a cupboard = lb + lh + bh
l = length h = height b = base
l = 12cm h = 10cm b = 8cm
T.S.A \(= (12 \times 8 \times 12 \times 10 + 8 \times 10)cm^\\
= (96 + 120 + 80)cm^2 = 296cm^2\)

18,758.

If \(\left(\frac{1}{4}\right)^{(2-y)} = 1\), find y.

A.

-2

B.

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

C.

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

D.

2

Correct answer is D

\(2^{-2(2-y)}-x=2^{0}; -4 + 2y = 0\\
2y = 4; y = 2\)

18,759.

In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS

A.

35o

B.

70o

C.

100o

D.

125o

Correct answer is A

∠PSQ = 90° (angle in a semi-circle)
(when SR is joined to SP)
∠SPQ = 180 – (90+35) = 180 – 125 = 55°
∠QRS + ∠SPQ = 180° (opposite angles in a cyclic quad is supplementary)
∠QRS = 180° - 55°
= 125°

18,760.

Which of the following is not a micronutrient?

A.

Manganese

B.

Copper

C.

Potassium

D.

Zinc

Correct answer is C

No explanation has been provided for this answer.