WAEC Mathematics Past Questions & Answers - Page 48

236.

In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.

A.

\(\frac{2}{9}\)

B.

\(\frac{4}{9}\)

C.

\(\frac{5}{9}\)

D.

\(\frac{7}{9}\)

Correct answer is B

28 - x + x + 25 - x = 45

53 - x = 45

x = 53 - 45

x = 8

chemistry only = 28 - 8

= 20

Probability = \(\frac{20}{45}\)

= \(\frac{4}{9}\)

237.

In the diagram, PQ and PS are tangents to the circle O. If PSQ = m, <SPQ = n and <SQR = 33\(^o\), find the value of (m + n)

A.

103\(^o\)

B.

123\(^o\)

C.

133\(^o\)q

D.

143\(^o\)

Correct answer is B

< SQP = 180 - (90 + 33)  < on a ----

= 180 - (123)

= 57\(^o\)

Therefore, (m + n) = 123\(^o\)

238.

The diagram shows a circle O. If &lt; ZYW = 33\(^o\) , find &lt; ZWX

A.

33\(^o\)

B.

57\(^o\)

C.

90\(^o\)

D.

100\(^o\)

Correct answer is C

In ZY = 90\(^o\)  < subtends In a semi O

ZWY = 180 - (90\(^o\)  + 33)

= 57

ZWX = 57 + 33 = 90\(^o\) 

239.

In the diagram, XY is a straight line.

A.

60\(^o\)

B.

90\(^o\)

C.

100\(^o\)

D.

120\(^o\)

Correct answer is B

<POX = <POQ; <ROY = QOR

2 <POQ + 2 <ROY = 180

2(<POQ = <ROY) = 180

<POQ + <ROY = 90

240.

The diagram shows a circle centre O. if <STR = 29 and <RST = 45, calculate the value of <STO

A.

12\(^o\)

B.

15\(^o\)

C.

29\(^o\)

D.

34\(^o\)

Correct answer is A

SRT = 180 - (46 + 29) sum of < s in a

= 180 - 75

= 105

SOT = 2 x 46 < at the centre is twice all the circle = 92

RTO = 180 - (96 + 43)

= 41

STO = 41 - 29

= 12\(^o\)