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Venn diagrams - MYP Questionbank | RevisionDojo

Practice Venn diagrams with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

Which of the following set expressions is equivalent to $A \cup (B \cap A')$ ?

Question 2

If set $A$ is a subset of set $B$ , denoted as $A \subseteq B$ , which of the following must be true?

Question 3

Which of the following is equivalent to the expression $A \cap (A \cup B)'$ ?

Question 4

True or False: According to De Morgan's laws, the region described by shading everything outside set $A$ and everything outside set $B$ separately, and then identifying only the area where those two shaded regions overlap, is equivalent to shading the region $(A riangle B)'$ .

Question 5

According to De Morgan's laws, which of the following set expressions is equivalent to $(A ∪ B)'$ ?

Question 6

In a universal set $U$ with $n(U) = 50$ , let $A$ and $B$ be two sets where $n(A) = 35$ and $n(B) = 25$ . What is the minimum possible number of elements in the intersection $A \cap B$ ?

Question 7

According to De Morgan’s laws, the expression $(A \cap B)'$ is equivalent to which of the following?

Question 8

In a group of 60 students, 35 study French ( $F$ ) and 10 study both French and Spanish ( $S$ ). How many students study French ONLY?

Question 9

Suppose $A \subseteq B$ . Which of the following is equivalent to the expression $A \cap B'$ ?

Question 10

In a Venn diagram with two circles $A$ and $B$ , which region represents the intersection $A \cap B$ ?

Type

Difficulty

Question 1

Which of the following set expressions is equivalent to $A \cup (B \cap A')$ ?

Question 2

If set $A$ is a subset of set $B$ , denoted as $A \subseteq B$ , which of the following must be true?

Question 3

Which of the following is equivalent to the expression $A \cap (A \cup B)'$ ?

Question 4

Question 5

According to De Morgan's laws, which of the following set expressions is equivalent to $(A ∪ B)'$ ?

Question 6

In a universal set $U$ with $n(U) = 50$ , let $A$ and $B$ be two sets where $n(A) = 35$ and $n(B) = 25$ . What is the minimum possible number of elements in the intersection $A \cap B$ ?

Question 7

According to De Morgan’s laws, the expression $(A \cap B)'$ is equivalent to which of the following?

Question 8

In a group of 60 students, 35 study French ( $F$ ) and 10 study both French and Spanish ( $S$ ). How many students study French ONLY?

Question 9

Suppose $A \subseteq B$ . Which of the following is equivalent to the expression $A \cap B'$ ?

Question 10

In a Venn diagram with two circles $A$ and $B$ , which region represents the intersection $A \cap B$ ?

Type

Difficulty

Question 1

Which of the following set expressions is equivalent to $A \cup (B \cap A')$ ?

Question 2

If set $A$ is a subset of set $B$ , denoted as $A \subseteq B$ , which of the following must be true?

Question 3

Which of the following is equivalent to the expression $A \cap (A \cup B)'$ ?

Question 4

Question 5

According to De Morgan's laws, which of the following set expressions is equivalent to $(A ∪ B)'$ ?

Question 6

In a universal set $U$ with $n(U) = 50$ , let $A$ and $B$ be two sets where $n(A) = 35$ and $n(B) = 25$ . What is the minimum possible number of elements in the intersection $A \cap B$ ?

Question 7

According to De Morgan’s laws, the expression $(A \cap B)'$ is equivalent to which of the following?

Question 8

In a group of 60 students, 35 study French ( $F$ ) and 10 study both French and Spanish ( $S$ ). How many students study French ONLY?

Question 9

Suppose $A \subseteq B$ . Which of the following is equivalent to the expression $A \cap B'$ ?

Question 10

In a Venn diagram with two circles $A$ and $B$ , which region represents the intersection $A \cap B$ ?

Venn diagrams Questionbank