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WAEC Mathematics Past Questions & Answers - Page 38

186.

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

View answer & explanation

Correct answer is A

No of fruits = x

$\frac{80}{360}$ x $x$ = 60

x = $\frac{60 \times 360}{80}$ x 270

= 90

187.

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.

$\frac{1}{2}$

View answer & explanation

Correct answer is C

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

= $\frac{6}{18}$

= $\frac{1}{3}$

188.

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 $^o$

View answer & explanation

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 $^o$

189.

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 $^o$

View answer & explanation

Correct answer is D

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

m = 105 $^o$ - 50 $^o$

m = 55 $^o$

190.

In the diagram, RT is a tangent to the circle at R, < PQR = 70 $^o$ , < QRT = 52 $^o$ , < QSR and < PRQ = x. Calculate the variance of 2, 4, 7, 8 and 9

A.

7.2

B.

6.8

C.

3.5

D.

2.6

View answer & explanation

Correct answer is B

x

2

4

7

8

9

( $\bar{x} - \bar{x}$ )

-4

-2

1

2

4

( $\bar{x} - \bar{x})^2$

16

4

1

4

9

_________

$\sum (x - x)^2$ = 34

\(\bar{x} = \frac{2 + 4 + 7 + 8 + 9}{5} = 6

variance = $\frac{34}{5}$

= 6.8

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