Venn Diagrams worksheet for students to practice set theory by filling in overlapping circles with numbers from given sets.

Absolutely! Let’s solve each Venn diagram problem step by step.

In a Venn diagram with two overlapping circles (A and B), we need to place numbers in three regions:

- Only in A → Elements that are in set A but NOT in set B.
- Only in B → Elements that are in set B but NOT in set A.
- In both A and B (intersection) → Elements that appear in BOTH sets.

We’ll go problem by problem.

---

Problem 1

A = {8, 9, 14, 20, 11}
B = {12, 20, 14, 4, 2}

✔ Find intersection (A ∩ B): Numbers in both A and B → {14, 20}

✔ Only in A: A minus intersection → {8, 9, 11}

✔ Only in B: B minus intersection → {12, 4, 2}

Fill the diagram:
- Left circle (only A): 8, 9, 11
- Overlap (both): 14, 20
- Right circle (only B): 12, 4, 2

---

Problem 2

A = {20, 1, 15, 12, 11}
B = {4, 10, 12, 1, 18}

✔ Intersection: {1, 12}

✔ Only in A: {20, 15, 11}

✔ Only in B: {4, 10, 18}

Fill the diagram:
- Left (only A): 20, 15, 11
- Overlap: 1, 12
- Right (only B): 4, 10, 18

---

Problem 3

A = {16, 12, 5, 10, 1}
B = {1, 2, 20, 15, 10}

✔ Intersection: {1, 10}

✔ Only in A: {16, 12, 5}

✔ Only in B: {2, 20, 15}

Fill the diagram:
- Left (only A): 16, 12, 5
- Overlap: 1, 10
- Right (only B): 2, 20, 15

---

Problem 4

A = {2, 17, 3, 9, 10}
B = {16, 9, 17, 19, 3}

✔ Intersection: {3, 9, 17}

✔ Only in A: {2, 10}

✔ Only in B: {16, 19}

Fill the diagram:
- Left (only A): 2, 10
- Overlap: 3, 9, 17
- Right (only B): 16, 19

---

Problem 5

A = {14, 8, 5, 11, 9}
B = {14, 4, 17, 8, 0}

✔ Intersection: {14, 8}

✔ Only in A: {5, 11, 9}

✔ Only in B: {4, 17, 0}

Fill the diagram:
- Left (only A): 5, 11, 9
- Overlap: 14, 8
- Right (only B): 4, 17, 0

---

Problem 6

A = {2, 12, 6, 17, 18}
B = {20, 13, 12, 8, 6}

✔ Intersection: {12, 6}

✔ Only in A: {2, 17, 18}

✔ Only in B: {20, 13, 8}

Fill the diagram:
- Left (only A): 2, 17, 18
- Overlap: 12, 6
- Right (only B): 20, 13, 8

---

## ✔ Final Answers Summary:

You can now fill in each Venn diagram as follows:

---

1)
- Only A: 8, 9, 11
- Both: 14, 20
- Only B: 12, 4, 2

2)
- Only A: 20, 15, 11
- Both: 1, 12
- Only B: 4, 10, 18

3)
- Only A: 16, 12, 5
- Both: 1, 10
- Only B: 2, 20, 15

4)
- Only A: 2, 10
- Both: 3, 9, 17
- Only B: 16, 19

5)
- Only A: 5, 11, 9
- Both: 14, 8
- Only B: 4, 17, 0

6)
- Only A: 2, 17, 18
- Both: 12, 6
- Only B: 20, 13, 8

---

💡 Tip: Always double-check that every number from both sets appears exactly once in the diagram — no duplicates, no missing numbers!

Let me know if you’d like a visual sketch or printable version!