WAEC Mathematics Past Questions & Answers - Page 200

996.

Three men, Bedu, Bakre and Kofi shared' N500 in the ratio 3:2: x respectively. If Bedu’s share is N150, find the value of x.

A.

1

B.

4

C.

5

D.

6

Correct answer is C

\(5+x\rightarrow 500\\
3 \rightarrow 150\\
∴ 3 \times 500 = 150 \times (5+x)\\
1500 = 750 + 150x\\
x=\frac{750}{150}=5\)

997.

In the diagram, PQ/RT /RS/ =/QS/, ∠QST= 70° and ∠PQW = 55°
Find the size of reflex ∠WQS

A.

235o

B.

290o

C.

305o

D.

325o

Correct answer is A

Reflex ∠WQS = 360° - (55° + 70°)
=360° - 125° = 235°

998.

Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)

A.

2

B.

3

C.

6

D.

12

Correct answer is C

\(\frac{4\sqrt{18}}{\sqrt{8}}\\
= \frac{4\sqrt{9\times 2}}{\sqrt{4 \times 2}} = \frac{12\sqrt{2}}{2\sqrt{2}}=\frac{6\sqrt{2}}{\sqrt{2}}\\
Rationalising \frac{6\sqrt{2}}{\sqrt{2}}\\
=\frac{6\sqrt{2}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 6\)

999.

A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for
N30. What is the cost of a pen?

A.

N5.00

B.

N7.50

C.

N10.00

D.

N15.00

Correct answer is A

Represent notebook with x
Represent pen with y
∴ 3x+y=35 ---- (i)
2x+2y=30 ---- (ii)
Multiply eqn (i) by 2 and eqn (ii) by 1
6x+2y=70 ---- (iii)
2x+2y=30 ---- (iv)
Subtract eqn (iv) from eqn (iii)
4x = 40
X = 10
Substitute x = 10 in eqn (i)
3x+y=35
3(10)+y=35
Y = 5
∴ The cost of pen is N5.00

1000.

Interprete the inequality represented on the number line

A.

-4< X ≤ 5

B.

-4 ≤ x< 5

C.

-4

D.

-4≤x≤5

Correct answer is A

No explanation has been provided for this answer.