WAEC Mathematics Past Questions & Answers - Page 38

187.

The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?  

A.

90

B.

80

C.

70

D.

40

Correct answer is A

No of fruits = x 

\(\frac{80}{360}\) x \(x\) = 60

x = \(\frac{60 \times 360}{80}\) x 270

= 90

188.

A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?

A.

\(\frac{1}{6}\)

B.

\(\frac{1}{4}\)

C.

\(\frac{1}{3}\)

D.

\(\frac{1}{2}\)

Correct answer is C

Pr(green) = \(\frac{6}{5 + 6 + 7}\)

= \(\frac{6}{18}\) 

= \(\frac{1}{3}\)

189.

In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of n

A.

40\(^o\)

B.

55\(^o\)

C.

75\(^o\)

D.

130\(^o\)

Correct answer is C

E\(G\)R = 50\(^o\)  (Alternative angles) 

n + 55\(^o\) + 50\(^o\) = 180\(^o\)  (Sum of angles on a straight line) 

n = 180\(^o\) - 105\(^o\)

n = 75\(^o\)

190.

In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of m.

A.

130\(^o\)

B.

105\(^o\)

C.

75\(^o\)

D.

55\(^o\)

Correct answer is D

50\(^o\) + m = 105\(^o\) (exterior angle of \(\triangle\) 

m = 105\(^o\) - 50\(^o\) 

m = 55\(^o\)