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WAEC Past Questions and Answers - Page 3901

19,501.

PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to the nearest degree, ∠PQR

A.

51o

B.

64o

C.

77o

D.

103o

Correct answer is D

cosα = 1016 = 0.625

α = cos-1(0.625)

= 51.3o

∠PQR = 2α

= 2(51.3o)

= 102.6

= 103o

19,502.

In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS = 50°. What is the size of ∠PSQ?

A.

75o

B.

80o

C.

85o

D.

95o

Correct answer is B

< PQS = 50° (PQ = PR)

< PQS = < SPQ = 50° (QS = PS)

In triangle PSQ, < PQS + < QPS + < PSQ = 180°

50° + 50° + < PSQ = 180°

< PSQ = 180° - 100° = 80°

19,503.

Which of the following is not the the size of an exterior angle of a regular polygon?

A.

15o

B.

18o

C.

20o

D.

21o

Correct answer is D

The size of an exterior angle = 360n

From the options, all options can perfectly divide 360°, except 21°.

19,504.

How many students are there in the group?

A.

25

B.

30

C.

52

D.

55

Correct answer is C

Total number of students = 20 + 16 + 10 + 6

= 52 students

19,505.

What is the mode?

A.

22.5 years

B.

23.0 years

C.

24.0 years

D.

27.5 years

Correct answer is B

No explanation has been provided for this answer.