Mathematics Past Questions and Answers

Four boys and ten girls can cut a field first in 5 hours. If the boys work at \(\frac{5}{4}\) the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?

A 180
B 60
C 25
D 20

Question 7:

What is the circumference of latitude 0\(^o\)S if R is the radius of the earth?

A Cos \(\theta\)
B 2\(\pi\)R cos \(\theta\)
C R sin \(\theta\)
D 2 \(\pi\) r sin \(\theta\)

Question 8:

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

A \(\frac{15}{17}\)
B \(\frac{8}{17}\)
C \(\frac{8}{15}\)
D \(\frac{12}{17}\)

Question 9:

The goals scored by 40 football teams from three league divisions are recorded below

No of goals	0	1	2	3	4	5	6
Frequency	4	3	15	16	1	0	1

What is the total number of goals scored by all the teams?

A 21
B 40
C 91
D 96

Question 10:

In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12\(^o\). How many students are offering physics?

A 18
B 15
C 10
D 5