Page 165 - Mathematics_Form_Two
P. 165
Sets
19. Draw a Venn diagram to represent travellers that were interviewed.
each of the following sets, if A and 23. In a survey of a certain school,
B are joint sets. 80 students had participated in a
(a) A′ B′∪ vaccination program only, while 60
(b) A′ B′∩ had participated in a health program
FOR ONLINE READING ONLY
only, and 120 had participated
(c) A ∩ B′ in both. It was further found that
(d) A′∩ B 90 had not participated in either
(e) (A ∪ B ) ′ program. Find;
(a) The total number of students Mathematics for Secondary Schools
20. In a group of 29 tourists from
different countries, 17 went to who were vaccinated.
Manyara National Park, 13 went to (b) The number of students who
Mikumi National Park, and 8 went participated in the health
to neither Mikumi nor Manyara program.
National Park. How many tourists (c) The number of students who
went to both places? participated in vaccination or a
21. Study the following figure and health program or both.
answer the questions that follow. (d) The total number of students in
the survey.
24. A school is assessing the participation
of students in sports and academic
club extracurricular activities. Out
of the 120 students surveyed, 70
are involved in sports and 80 in
academic clubs. The school’s data
shows that 50 students are involved
(a) List all members of sets A and in both activities. Calculate the
B. following:
(b) Find (An ∪ B ) and (An ∩ B) .
(a) The number of students involved
(c) How many elements are there in either sports or academic clubs.
in A only?
(b) The number of students involved
22. In an interview at a railway station, in sports only.
50 travellers reported that last
month they had been to Tanga, 48 (c) The number of students involved
had been to Arusha and 36 had been in academic clubs only.
back to Arusha and Tanga. Using a (d) The number of students not
Venn diagram, find the number of involved in either activity.
159
Student's Book Form Two
MATHEMATIC F2 v5.indd 159 11/10/2024 20:13:36
11/10/2024 20:13:36
MATHEMATIC F2 v5.indd 159
