WAEC Past Questions and Answers - Page 2389

11,941.

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

= \(\frac{6}{18}\) 

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

11,942.

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\(^o\)

11,943.

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\(^o\)

11,944.

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

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

11,945.

In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x. Calculate the value of x.

A.

70\(^o\)

B.

58\(^o\)

C.

55\(^o\)

D.

48\(^o\)

Correct answer is B

x = 180\(^o\) - (52\(^o\) + 70\(^o\))

= 180\(o\) - 122\(^o\)

= 58\(^o\)