Back to Exercise: Venn Diagrams with Two Events

Exercises: Venn Diagrams with Two Events

Work through each section in order. For the diagram problems, place elements in the intersection first, then the parts that belong to only one set, and last the region outside both circles. Always check that every element sits in exactly one region.

Grade 7·18 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·sets-03
Work through problems with immediate feedback
A

Recall / Warm-Up

These problems review set membership and subsets from earlier lessons.

An oval labelled A containing the numbers 2, 4, 6, 8, with 5 and 7 shown outside it
1.

The set A={2,4,6,8}A = \{2, 4, 6, 8\}. Which statement is true?

A two-circle Venn diagram inside a rectangle, with the four regions marked P, Q, R, S and the rectangle corner marked with a question mark
2.

In a two-circle Venn diagram, the rectangle that surrounds both circles stands for which set?

3.

A group of learners is listed as {Ana,Ben,Cora,Deo,Efua}\{Ana, Ben, Cora, Deo, Efua\}. How many learners are in the group?

B

Fluency Practice

A blank two-circle Venn diagram with universal set E, set A football, set B volleyball, and four regions numbered 1 to 4
1.

On a two-circle Venn diagram, which region holds learners who like football but not volleyball?

A two-circle Venn diagram with the number 6 written twice, once in the A-only crescent and once in the overlap, each marked with a question mark
2.

The number 6 has been written in the A-only crescent AND again in the overlap. In which single region does 6 belong, given that 6 is in both AA and BB?

A blank two-circle Venn diagram with universal set E and empty circles A and B, ready for elements to be placed
3.

For E={1,2,3,4,5,6,7,8,9,10,11,12}E = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}, A={A = \{multiples of 3}\}, B={B = \{multiples of 4}\}. How many elements go in the overlap ABA \cap B?

A completed two-circle Venn diagram: A only holds 2, 4, 8; the overlap holds 6; B only holds 3, 9; and 1, 5, 7 lie outside both circles
4.

Using the completed diagram, find n(AB)n(A \cup B).

You're viewing 2 of 5 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account
0 of 7 answered

Answer all problems to submit.