Four Fours Puzzle Challenge
A challenging worksheet exploring the Four Fours puzzle, where students use four 4s and mathematical operations to form various integers.
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Four Fours Puzzle Challenge
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The 'Four Fours' puzzle challenges you to find an expression for every integer from 0 to a given maximum, using only the digit four exactly four times, and a variety of mathematical operators. You can use addition (+), subtraction (-), multiplication (*), division (/), square root (√), factorial (!), and parentheses ( ).
Use four 4s and basic operations (+, -, *, /) to make the following numbers:
1. Make 0:
2. Make 1:
3. Make 2:
4. Make 4:
5. Make 8:
Now, let's incorporate factorials (!) and square roots (√). Remember, 4! = 4 × 3 × 2 × 1 = 24 and √4 = 2.
6. How can you make 3 using four 4s and any allowed operations?
7. Find an expression for 5.
Match each number on the left with a possible Four Fours expression on the right.
8. 6
a. (4+4)/4 + 4
9. 7
b. 4 + 4 - (4/4)
10. 9
c. (4! / 4) + (4 - 4)
Determine if the following statements about the Four Fours puzzle are true or false.
11. It is possible to make every positive integer using only four 4s and basic arithmetic operations.
True
False
12. The number 24 can be made as 4! + 4 - 4 - 4.
True
False
13. Can you find an expression for 10 using four 4s? Show your work.
14. Try to make the number 16. What operations did you use?