WAEC Mathematics Past Questions & Answers - Page 214

1,066.

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°

1,067.

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 = \(\frac{360}{n}\)

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

1,068.

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

1,069.

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.

1,070.

What is the range of their age?

A.

14 years

B.

20 years

C.

30.5 years

D.

31 years

Correct answer is B

Range = 30.5 - 10.5

= 20 years