Grade 11: The Four Fours Puzzle
A worksheet exploring the classic mathematical puzzle 'Four Fours', challenging students to create expressions for integers using exactly four fours.
Includes
Standards
Topics
Grade 11: The Four Fours Puzzle
Name:
Date:
Score:
The 'Four Fours' puzzle challenges you to find an expression for each integer from 0 to 10 (or higher) using exactly four '4's and common mathematical operators. You may use addition (+), subtraction (-), multiplication (*), division (/), exponents (^), square roots (√), factorials (!), and parentheses (()). Try to find as many solutions as you can for each number.
1. Express the number 0 using exactly four fours:
2. Express the number 1 using exactly four fours:
3. Express the number 2 using exactly four fours:
4. Express the number 3 using exactly four fours:
5. Express the number 4 using exactly four fours:
6. Express the number 5 using exactly four fours:
7. Find an expression for the number 6 using exactly four fours and any valid operators.
8. Find an expression for the number 7 using exactly four fours and any valid operators.
9. Find an expression for the number 8 using exactly four fours and any valid operators.
10. Find an expression for the number 9 using exactly four fours and any valid operators.
11. Find an expression for the number 10 using exactly four fours and any valid operators.
12. Which mathematical operator is represented by the symbol '!'?
Addition
Subtraction
Factorial
Division
13. What is the result of 4!?
8
16
24
44
14. It is possible to express the number 16 using exactly four fours.
True
False
15. The square root symbol (√) can be used in the Four Fours puzzle.
True
False
16. Can you express the number 24 using exactly four fours? Show your work.
17. What is the highest number you can create using exactly four fours and the allowed operations? Explain your reasoning and provide the expression.