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WAEC Mathematics Past Questions & Answers - Page 115

571.

In the diagram, /MN/, /OP/, /QOP/ = 125o. What is the size of < MQR?

A.

11o

B.

120o

C.

130o

D.

160o

Correct answer is B

< NOP = 180 - 125 = 55o(< s on a straight line)

But < NOP = < ONM (alternate < s)

< ONM = 55o

< M + < N + < MQN = 180o (sum of interior < s of a ) i.e

65o + 55o + < MQN = 180

< MQN = 180 - 12o = 60

< MQR + < MQN = 180 (< s on straight line)

< MQR + 60 = 180

< MQR + 60 = 180

< MQR = 180 - 60

= 120o

572.

The histogram shows the age distribution of members of a club. What is their modal age?

A.

44.5

B.

42.5

C.

41.5

D.

40.5

Correct answer is A

No explanation has been provided for this answer.

573.

The histogram shows the age distribution of members of a club. How many members are in the club?

A.

52

B.

50

C.

48

D.

40

Correct answer is A

2 + 2 + 5 + 8 + 12 + H + 7 + 3 + 2 = 52

574.

Find the size of the angle marked x in the diagram.

A.

108o

B.

112o

C.

128o

D.

142o

Correct answer is C

x + 52o = 90

x = 90 - 52

x = 38o

k = opposite angle Z

k = 38o

y + k = 90o

y + 38o = 90o

y = 90o - 38o

y = 52o

y = x = 180o(sum of angles on straight line)

52 + x = 180o

x = 180 - 52

x = 128

575.

In the diagram, PO and OR are radii, |PQ| = |QR| and reflex < PQR is 240o. Calculate the value x

A.

60o

B.

55o

C.

50o

D.

45o

Correct answer is A

< Q = 2402 (angle at centre twice that at the circumference)

< Q = 120o

Also < POR = 360 - 240

= 120o

( < s at centre) since /PQ/ = /QR/, < x = < R

Byt < x + < R + O + Q = 360 (sum of interior < s of quadrilateral)

x + R + 120 = 360o

x + R = 360 - 240 = 120; Since x = R

x + x = 120

2x = 120

Since x = R

x + x = 120

2x = 120

x = 1202

= 60o