WAEC Past Questions and Answers - Page 4011

20,051.

The mean of 20 observations in an experiment is 4, lf the observed largest value is 23, find the mean of the remaining observations.

A.

4

B.

3

C.

2.85

D.

2.60

E.

2.56

Correct answer is B

Mean of 20 observations = 4

All the observations = 20 x 4 = 80

Largest observed value = 23

Remaining observation = 80 - 23 = 57

Mean of observation = 57/19 = 3

20,052.

What is the mode of the numbers 8, 10, 9, 9, 10, 8, 11, 8, 10, 9, 8 and 14?

A.

8

B.

9

C.

10

D.

11

E.

14

Correct answer is A

No explanation has been provided for this answer.

20,053.
20,054.

Without using tables, find the value of \(\frac{\sin 20°}{\cos 70°} + \frac{\cos 25°}{\sin 65°}\)

A.

2

B.

1

C.

0

D.

-1

E.

-2

Correct answer is A

Note: sin 20° = cos 70° hence

\(\frac{\sin 20}{\cos 70} = 1\)

Also, cos 65° = sin 25°

\(\frac{\cos 65}{\sin 25} = 1\)

\(\therefore \frac{\sin 20}{\cos 70} + \frac{\cos 65}{\sin 25}\)

= 1 + 1

= 2

20,055.

In ΔABC above, BC is produced to D, /AB/ = /AC/ and ∠BAC = 50o. Find ∠ACD

A.

50o

B.

60o

C.

65o

D.

100o

E.

115o

Correct answer is E

ACB = ABC [Base angles of isoceles triangle]
ACB + ABC + 50o = 180o[sum of angles in a triangle]
ACB + ABC = 180o - 50o = 130o

ACB
130o/2
= 65o

ACD + ACB = 180o[sum of ∠s on a straight line]
ACD + 65o = 180o
ACD = 180o - 65o = 115o