WAEC Mathematics Past Questions & Answers - Page 255

1,271.

In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x

A.

2cm

B.

3cm

C.

4cm

D.

5cm

E.

6cm

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,272.

Which of the following is not necessarily sufficient for the construction of a triangle?

A.

Three sides

B.

Two sides and an included angle

C.

Two sides and a right angle

D.

Two sides and an angle

E.

Two angles and a side.

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,273.

The diagram above is a triangle XYZ whose area is 23.5cm². XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.

A.

34^o

B.

35^o

C.

36^o

D.

37^o

E.

40^o

View answer & explanation

Correct answer is C

Area = 1/2 x y x yz sinθ
23.5 = 1/2 x 10 x 8 sinθ

sinθ =

23.5 x 2/10 x 8

= 0.5875

θ = sin^-1 0.5875 = 36^o

1,274.

Find the radius of a circle in which an arc of length 44cm subtends angle 200° at the centre of the circle. [Take π = 22/7]

A.

3.9cm

B.

12.6cm

C.

25.2cm

D.

38.4cm

E.

124.5cm

View answer & explanation

Correct answer is B

44 = 200/360 x 2 x 22/7 x r

r = 360 x 7 x 44/200 x 2 x 22

= 12.6cm

1,275.

The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume

A.

48cm³

B.

6Ocm³

C.

96cm³

D.

120cm³

E.

24Ocm³

View answer & explanation

Correct answer is A

Volume = base area x height
= 1/2 x 4 x 3 x 8
= 48cm³

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