WORKSHEET ON VENN DIAGRAM

Question 1 :

Express the following situation using Venn diagram :

All of the members of A are also members of B.

Some of the members of B are also members of A. 

Question 2 :

Express the following situation using Venn diagram :

Some of the members of A are also members of B and vice versa. 

Question 3 :

Express the following situation using Venn diagram :

No members of A are members of B and vice versa. 

Question 4 :

Express the following situation using Venn diagram :

Some angles are right angles and some angles are obtuse angles. But no right angle is obtuse angle and vice versa. 

Question 5 : 

Express the following situation using Venn diagram :

Some students do not go to the beach

Some people who go to the beach are students

Question 6 :

Express the following situation using Venn diagram :

Jack likes cake and ice cream. Betty likes brownies, both of them like cookies and neither like pie. 

Question 7 :

Express the following situation using Venn diagram :

John plays football and baseball. Daniel plays basketball. They both play soccer and neither plays hockey. 

Question 8 :

Express the following situation using Venn diagram :

All pigs eat corn

Question 9 : 

Express the following situation using Venn diagram :

Some apples are green

Question 10 :

This Venn diagram given below illustrates the number of pizzas sold yesterday at Polo Verde Pizzeria categorized by toppings.

Use this information to answer the following questions. 

(i) How many pizzas had pepperoni ?

(ii) How many pizzas had sausage and olives ?

(iii) How many pizzas were sold altogether ?

(iv) How many pizzas had sausage ?

(v) How many pizzas had all three toppings ?

Answers

Question 1 :

Express the following situation using Venn diagram :

All of the members of A are also members of B. Some of the members of B are also members of A. 

Answer : 

Question 2 :

Express the following situation using Venn diagram :

Some of the members of A are also members of B and vice versa. 

Answer : 

Question 3 :

Express the following situation using Venn diagram :

No members of A are members of B and vice versa. 

Answer : 

Question 4 :

Express the following situation using Venn diagram :

Some angles are right angles and some angles are obtuse angles. But no right angle is obtuse angle and vice versa. 

Answer : 

Question 5 : 

Express the following situation using Venn diagram :

Some students do not go to the beach

Some people who go to the beach are students

Answer : 

Question 6 :

Express the following situation using Venn diagram :

Jack likes cake and ice cream. Betty likes brownies, both of them like cookies and neither like pie. 

Answer : 

Question 7 :

Express the following situation using Venn diagram :

John plays football and baseball. Daniel plays basketball. They both play soccer and neither plays hockey. 

Answer : 

Question 8 :

Express the following situation using Venn diagram :

All pigs eat corn

Answer : 

Question 9 : 

Express the following situation using Venn diagram :

Some apples are green

Answer : 

Question 10 :

This Venn diagram given below illustrates the number of pizzas sold yesterday at Polo Verde Pizzeria categorized by toppings.

Use this information to answer the following questions. 

(i) How many pizzas had pepperoni ?

(ii) How many pizzas had sausage and olives ?

(iii) How many pizzas were sold altogether ?

(iv) How many pizzas had sausage ?

(v) How many pizzas had all three toppings ?

Answers : 

Answer (i) : 

Number of pizzas had pepperoni : 

=  20 + 40 + 4 + 2

=  66

Answer (ii) : 

Number of pizzas had sausage and olives :

=  4 + 16

=  20

Answer (iii) : 

Number of pizzas were sold altogether : 

=  20 + 11 + 7 + 2 + 16 + 40 + 4

=  100

Answer (iv) : 

Number of pizzas had sausage : 

=  11 + 16 + 4 + 2 

=  33  

Answer (v) : 

Number of pizzas had all three toppings : 

=  4

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