The Four Fours Puzzle

A worksheet exploring the Four Fours puzzle, challenging students to create numbers using exactly four fours and mathematical operations.

Grade 8 Math Math PuzzlesFour Fours Puzzle

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Includes

2 Short AnswerFill in the BlanksLong Answer

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.EE.B.6

6 sections · Free to use · Printable

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The Four Fours Puzzle

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The 'Four Fours' puzzle challenges you to find mathematical expressions for every integer from 0 upwards, using exactly four fours and common mathematical operations. You can use addition (+), subtraction (-), multiplication (*), division (/), parentheses ( ), square root (√), factorial (!), and concatenation (e.g., 44).

Example: 4 + 4 - 4 - 4 = 0

Example: (4 / 4) + (4 / 4) = 2

Use exactly four fours to create the following numbers. Show your work.

1. 0 =

2. 1 =

3. 2 =

4. 3 =

5. 4 =

6. 5 =

Continue the challenge to create the following numbers:

7. 6 =

8. 7 =

9. 8 =

10. 9 =

11. 10 =

Fill in the blank with the correct mathematical operation to make the equation true, using only four fours.

12. 4 4 + 4 - 4 = 4

13. (4 / 4) (4 / 4) = 2

14. 44 4 = 11

15. √4 + √4 + 4 4 = 10

16. Explain why the factorial operation (!) can be particularly useful in the Four Fours puzzle.

17. What is the most challenging number you tried to create using four fours, and why?