Cambridge Math Grade 3 Unit 10.2: Interactive Venn & Carroll Diagrams Worksheet

Cambridge Primary Mathematics - Unit 10.2

Interactive Worksheet: Venn & Carroll Diagrams

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📖 Quick Guide:

Venn Diagrams: Help us group data using circles. The area where circles meet is for things that share both rules.

Carroll Diagrams: Use a grid to sort things by two different "Yes/No" rules.

Category 1: Venn Diagram Logic

1. In a Venn diagram with "Multiples of 2" and "Multiples of 5", which number goes in the overlap?

5
10
4

2. A number is "Less than 100" but "Not a multiple of 4". Where does it go?

Middle Overlap
Right circle only
Outside the diagram

3. True or False: A number that fits both labels must be written in the overlap.

Select Answer True False

4. If the labels are "Odd Numbers" and "Multiples of 10", how many numbers are in the overlap?

(Hint: Can a multiple of 10 be odd?)

5. Which of these is a multiple of 4 and 6?

6
8
12

Category 2: Carroll Diagram Mastery

	Even	Not Even
Multiple of 3	(A)	(B)

6. In the table above, where should the number 15 be placed?

Cell A
Cell B

7. True or False: Carroll diagrams can only have 4 cells.

True
False

8. Where does the number 22 go if the rules are "Multiple of 5" and "Even"?

9. A Carroll diagram sorts by:

Two different criteria
One criteria only

10. If a number is "Not Even" and "Not a Multiple of 3", it is:

Odd and not in the 3x table
Even and in the 3x table

Category 3: Shapes and Properties

11. Does a Square have 4 vertices? (Yes/No)

12. Which shape has NO vertices?

Circle
Triangle
Cube

13. Is a Cube a 2D shape? (Yes/No)

14. How many vertices does a triangle have?

15. A cylinder is "Not 2D" and "Has no vertices". (True/False)

Category 4: Data & Pictograms

16. In a pictogram, if one ☁️ symbol = 2 monsters, what do 3 symbols represent?

17. Look at Question 16. How would you represent 1 monster?

Half a symbol
Two symbols

18. A bar chart shows 5 red monsters and 3 blue. How many more red than blue?

19. Pictograms help us:

Visualize data with images
Measure weight

20. Total data points for 4 groups of 5 monsters is:

✅ Answer Key & Explanations:

1. 10 (Multiple of both 2 and 5).
2. Right circle only (Fits only the 'Less than 100' rule).
3. True.
4. 0 (Multiples of 10 are always even).
5. 12.
6. Cell B (15 is odd and a multiple of 3).
7. False (Can be expanded).
8. Not a Multiple of 5 / Even cell.
9. Two different criteria.
10. Odd and not in the 3x table.
11. Yes.
12. Circle.
13. No (3D).
14. 3.
15. True.
16. 6.
17. Half a symbol.
18. 2.
19. Visualize data with images.
20. 20.

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