WAEC Mathematics Past Questions & Answers

286.

The solution of x + 2 $\geq$ 2x + 1 is illustrated

iii

View answer & explanation

Correct answer is A

x + 2 $\geq$ 2x + 1

x - 2x $\geq$ 1 - 2

-x $\geq$ -1

$\frac{-x}{-1}$ $\geq$ $\frac{-1}{-1}$

x $\leq$ 1

287.

In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded

25cm $^2$

24cm $^2$

16cm $^2$

12cm $^2$

View answer & explanation

Correct answer is B

Area of shaded part = 2 x area of $\bigtriangleup$ SPQ

= 2 x $\frac{1}{2}$ 8 x 3 =24cm

Hence, area of the unshaded part of the rectangle = area of rectangle - area of shaded part

= 8 x 6 - 24

= 48 - 24

= 24 cm $^2$

288.

In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).

110 $^o$

135 $^o$

165 $^o$

225 $^o$

View answer & explanation

Correct answer is C

In the diagram,

Thus, m = 2 x 55 $^o$ (is a bisector of obtuse

m = 110 $^o$

n = $\frac{1}{2}$ x 110 $^o$ (angle at centre = 2 x angle at circum)

n = 55 $^o$

m + n = 110 + 55 = 165 $^o$

289.

In the diagram, WXYZ is a rectangle with dimension 8cm by 6cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Using this information, what type of quadrilateral is the shaded region?

Trapezium

Prism

Rectangle

Rhombus

View answer & explanation

Correct answer is D

No explanation has been provided for this answer.

290.

In the diagram, PR is a tangent to the circle at Q, QT//RS,

40 $^o$

65 $^o$

85 $^o$

95 $^o$

View answer & explanation

Correct answer is D

In the diagram,

a = 50 $^o$ (alternate angles)

b $_1$ + a 35 $^o$ = 180 $^o$ (sum of angles on a straight line)

i.e; b $_1$ + 50 $^o$ + 35 $^o$

= 180v

b $_1$ + 180 $^o$ - 85 $^o$ = 90 $^o$

But b $_2$ = $b_1$ = 95 $^o$ (angles in alternate segement)

<QST = b $_2$ = 95 $^o$

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