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WAEC Mathematics Past Questions & Answers - Page 139

691.

The diameter of a bicycle wheel is 42cm. If the wheel makes 16 complete revolution, what will be the total distance covered by the wheel? [Take $\pi \frac{22}{7}$

672cm

1056cm

2112cm

4224cm

View answer & explanation

Correct answer is C

d = 42cm

Circumference = $\pi d = \frac{22}{7} \times 42cm$

= 22 x 6cm = 132cm

Total distance covered = circumference x number of revolutions

= 132cm x 16 = 2112cm

692.

Factorize x² - 2x - 3xy completely

(x - 2)(3x - y)

(x - 3y)(x - 2)

(x - 3y)(x - 3y)

(3x + y)(x - 2)

View answer & explanation

Correct answer is B

x² - 2x - 3xy + 6y = x(x - 2) -3y(x - 2)

= (x - 3y)(x - 2)

693.

If (2x + 3)³ = 125, find the value of x

View answer & explanation

Correct answer is A

(2x + 3 )² = 125

2n + 3 = 3 $\sqrt{125}$

2x + 3 = 5

2x = 5 - 3

x = $\frac{2}{2}$

= 1

694.

If $\frac{3}{2x} - \frac{2}{3x} = 4$ , solve for x

$\frac{4}{5}$

$\frac{4}{13}$

$\frac{5}{24}$

$\frac{13}{24}$

View answer & explanation

Correct answer is C

$\frac{3}{2x} - \frac{2}{3x} = 4$

$\frac{9 - 4}{6x}$ ; $\frac{5}{6x}$ = 4

5 = 24x ; x = $\frac{5}{24}$

695.

Two sets are disjoint if

they are both empty

their union is an empty set

their intersection is an empty set

one of them is a subset of the other

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

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