Year : 
1996
Title : 
Mathematics (Core)
Exam : 
WASSCE/WAEC MAY/JUNE

Paper 1 | Objectives

41 - 49 of 49 Questions

# Question Ans
41.

A town P is 150km from a town Q in the direction 050o. What is the bearing of Q from P?

A. 050o

B. 130o

C. 230o

D. 270o

E. 310o

Detailed Solution

a = 50o (Alt. ∠s)
Bearing of Q from P = 180o + a
= 180o + 50o = 230o
42.

The angle of elevation of the top X of a vertical pole from a point P on a level ground is 60o. The distance from P to the foot of the pole is 55m. Without using tables, find the height of the pole.

A. 50/3m

B. 50m

C. 55√3m

D. 60m

E. 65m

Detailed Solution

Tan60o = h/55
h = 55Tan60o
h 55 x √3 ; h = 55√3m
43.

The number of goals scored by a football team in 20 matches is shown in the table above

A. 0.75

B. 1.75

C. 1.9

D. 2

E. 2.15

Detailed Solution

Mean =
∑fx/∑f
=
35/20
= 13/4 = 1.75

44.

The number of goals scored by a football team in 20 matches is shown in the table above

A. o

B. 1

C. 2

D. 5

E. 7

C

45.

The cumulative frequency curve may be used to find the

A. variance

B. standard deviation

C. mode

D. median

E. mean

D

46.

The marks obtained by pupils of class are grouped as shown below; 0 - 4, 5 - 9,10 -14, 15 -19. Which of the following is/are not true? l. The mid values of the grouped marks are 2, 7, 12 and 17. II The class interval is 4. III The class boundaries are 0.5, 4.5, 9.5, 14.5 and 19.5

A. I only

B. II only

C. III only

D. I and II only

E. II and III only

Detailed Solution

0 - 4; Mid Values 0 + 4/2 = 2
5 - 9; 5 + 9/2 = 7
10 - 14; 10 + 14/2 = 12
15 - 19; 15 + 19/2 = 17
The class interval is 5 class boundaries are 0.5, 4.5, 9.5, 14.5, 19.5
47.

What percentage of observation lie outside interquartile range of any distribution?

A. 121/2%

B. 25%

C. 50%

D. 621/2 %

E. 75%

C

48.

A bag contains 3 red, 4 black and 5 green identical balls. Two balls are picked at random, one after the other without replacement. Find the probability that one is red and the other is green

A. 2/3

B. 5/11

C. 5/22

D. 5/24

E. 5/48

Detailed Solution

Total balls = 12
RG or GR
3/12
x
5/11
+
5/12
x
49.

The table gives the distribution of outcomes obtained when a die was rolled 100 times.

A. 8/25

B. 12/25

C. 13/25

D. 2/3

E. 17/25

Detailed Solution

18 + 14 + 20 + 16/100
=
17/25

41.

A town P is 150km from a town Q in the direction 050o. What is the bearing of Q from P?

A. 050o

B. 130o

C. 230o

D. 270o

E. 310o

Detailed Solution

a = 50o (Alt. ∠s)
Bearing of Q from P = 180o + a
= 180o + 50o = 230o
42.

The angle of elevation of the top X of a vertical pole from a point P on a level ground is 60o. The distance from P to the foot of the pole is 55m. Without using tables, find the height of the pole.

A. 50/3m

B. 50m

C. 55√3m

D. 60m

E. 65m

Detailed Solution

Tan60o = h/55
h = 55Tan60o
h 55 x √3 ; h = 55√3m
43.

The number of goals scored by a football team in 20 matches is shown in the table above

A. 0.75

B. 1.75

C. 1.9

D. 2

E. 2.15

Detailed Solution

Mean =
∑fx/∑f
=
35/20
= 13/4 = 1.75

44.

The number of goals scored by a football team in 20 matches is shown in the table above

A. o

B. 1

C. 2

D. 5

E. 7

C

45.

The cumulative frequency curve may be used to find the

A. variance

B. standard deviation

C. mode

D. median

E. mean

D

46.

The marks obtained by pupils of class are grouped as shown below; 0 - 4, 5 - 9,10 -14, 15 -19. Which of the following is/are not true? l. The mid values of the grouped marks are 2, 7, 12 and 17. II The class interval is 4. III The class boundaries are 0.5, 4.5, 9.5, 14.5 and 19.5

A. I only

B. II only

C. III only

D. I and II only

E. II and III only

Detailed Solution

0 - 4; Mid Values 0 + 4/2 = 2
5 - 9; 5 + 9/2 = 7
10 - 14; 10 + 14/2 = 12
15 - 19; 15 + 19/2 = 17
The class interval is 5 class boundaries are 0.5, 4.5, 9.5, 14.5, 19.5
47.

What percentage of observation lie outside interquartile range of any distribution?

A. 121/2%

B. 25%

C. 50%

D. 621/2 %

E. 75%

C

48.

A bag contains 3 red, 4 black and 5 green identical balls. Two balls are picked at random, one after the other without replacement. Find the probability that one is red and the other is green

A. 2/3

B. 5/11

C. 5/22

D. 5/24

E. 5/48

Detailed Solution

Total balls = 12
RG or GR
3/12
x
5/11
+
5/12
x
49.

The table gives the distribution of outcomes obtained when a die was rolled 100 times.

A. 8/25

B. 12/25

C. 13/25

D. 2/3

E. 17/25

Detailed Solution

18 + 14 + 20 + 16/100
=
17/25