WAEC Mathematics Past Questions & Answers - Page 199

991.

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

A.

2

B.

3

C.

6

D.

12

Correct answer is C

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

992.

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

993.

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.