WAEC Mathematics Past Questions & Answers - Page 243

1,211.

Calculate the perimeter of the trapezium PQRS

A.

24cm

B.

36cm

C.

48cm

D.

72cm

E.

520cm

View answer & explanation

Correct answer is C

Using Pythagora's rule for △PSM

Hyp\(^2\) = Opp\(^2\) + Adj\(^2\)

5\(^2\) = Opp\(^2\) + 4\(^2\)

→ Opp\(^2\) = 25 - 16

→ Opp = √9 = 3

base SR = 18 + 3 = 21

base PQ = 18

side PS = 5

side QR = 4

perimeter of the trapezium PQRS = 21 + 18 + 5 + 4 = 48cm

1,212.

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50^o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ

A.

3.403cm²

B.

5.350cm²

C.

10.99cm²

D.

157.1cm²

E.

175.0cm²

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,213.

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50^o. Use the diagram to answer question below. (take π = 3.142)
Calculate correct to one decimal place, the length of arc PQ.

A.

175.0cm

B.

157.1cm

C.

37.7cm

D.

11.0cm

E.

3.1cm

View answer & explanation

Correct answer is E

No explanation has been provided for this answer.

1,214.

In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM = 63^o, find ∠MNQ

A.

58.5^o

B.

44^o

C.

35^o

D.

31.5^o

E.

27^o

View answer & explanation

Correct answer is E

No explanation has been provided for this answer.

1,215.

If the exterior angles of quadrilateral are y^o, (y + 5)^o, (y + 10)^o and (y + 25)^o, find y

A.

10^o

B.

20^o

C.

40^o

D.

60^o

E.

80^o

View answer & explanation

Correct answer is E

No explanation has been provided for this answer.

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