Four Fours Puzzle Challenge
A worksheet challenging students to use exactly four fours to create mathematical expressions for various integers.
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Four Fours Puzzle Challenge
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The 'Four Fours' puzzle is a mathematical recreation in which the goal is to find a mathematical expression for every integer from 0 to some maximum, using only the digit four exactly four times, and a selection of common mathematical operators. You may use addition (+), subtraction (-), multiplication (*), division (/), square root (√), factorial (!), and parentheses. You may also concatenate fours (e.g., 44).
Your task is to find expressions for the following numbers using exactly four fours.
1. 0 =
2. 1 =
3. 2 =
4. 3 =
5. 4 =
6. 5 =
7. 6 =
8. 7 =
9. 8 =
10. 9 =
11. 10 =
12. Can you find an expression for 13 using only four fours? Show your work.
13. Using the available operations, explain why some numbers might be harder to construct than others in the Four Fours puzzle.