1. The 150 Grade 7 students participated in school’s Math Olympics. 64
students registered in Math Trail, 78 students registered in Amazing Race
and 28 students registered in both Math Trail and Amazing Race. How
many students registered in Math Trail only and in Amazing Race only?
Are there students who did not registered in both events, how many?


2. The Hair Company offers two brands of shampoo: brand H and brand S.
100 people were surveyed and their brand preferences are as follows: 50
people liked brand H and 35 people liked brand S.
What is the maximum number of people who liked both H and S?
What is the minimum number of people who liked both H and S?
What is the minimum number of people who do not like any of the brand?


3. In a group of students, 30 played chess, 19 played volleyball, 25 played
basketball, 14 played both volleyball and chess, 8 played both basketball
and volleyball, 15 played both basketball and chess and 5 played both
three events. How many played chess only, basketball only and volleyball
only? How many students are there in all?


4. A group of 300 incoming Grade 7 students were given questionnaires to
find out who like Online classes as belonged to Group A, Offline classes as
belonged to Group B and physical but no-contact policy as belonged to Group C. It was found out that 138 students belonged to A, 150 students
belonged to B, 95 students belonged to C, 58 students belonged to both A
and B, 47 students belonged to both A and C, 42 students belonged to
both B and C and 25 students belonged to the three options. How many
students belonged to A only, to B only, to C only and how many students
are still undecided?


5. There are 35 students in art class and 57 students in dance class. Find
The number of students
a. who are either in art class or in dance class.
b. when two classes meet at the same hour.
c. when two classes meet at different hours.



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