EQUATION ENIGMA
Logic Puzzles Math Game
A daily math logic puzzle where you have 6 attempts to guess the hidden equation. Use logic and mental math to crack the code!
How to Play
- 1Guess the hidden equation in 6 tries.
- 2Each guess must be a mathematically valid equation (the left side must equal the right hand side).
- 3After each guess, the color of the tiles will change to show how close your guess was to the solution.
- 4Green means the number or operator is in the correct spot.
- 5Yellow means it is in the equation, but in the wrong spot.
- 6Gray means it is not in the equation at all.
Rules
- The equation must contain exactly one "=" sign.
- The equation uses standard order of operations (multiplication and division happen before addition and subtraction).
- Leading zeros are not allowed (e.g., 04 is invalid, just use 4).
- The numbers in the equation can be single or multi-digit depending on the puzzle length.
Top Tips!
“A great starting guess uses as many different numbers and operators as possible to narrow down the possibilities quickly. Try a starting phrase like "9-4=10/2" or "3*4-5=7" to test multiple symbols at once!”
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Evaluating a Guess
If the secret is "3*4=12" and you guess "2*6=12", what happens?
- 1The engine compares your guess text character by character with the secret.
- 2Your "2" is not in the secret. It turns Gray.
- 3The "*", "=", "1" and "2" are correctly placed. They turn Green.
- 4Your "6" is not in the secret. It turns Gray.
You will see a mix of Gray and Green tiles, letting you know to change the 2 and 6.
Choosing a Strong Opening Guess
What is a good first guess strategy?
- 1Use as many different digits and operators as possible to gather maximum information.
- 2A guess like "9-4=10/2" tests digits 9, 4, 1, 0, 2 and operators -, =, /.
- 3The colour feedback will instantly tell you which of these characters appear in the secret.
- 4Avoid repeating digits in your first guess, as each repeated digit wastes an information slot.
A strong opener tests 5 or more unique digits plus multiple operators in a single valid equation.
Using Yellow Clues to Rearrange
Your guess "5+3=8" returns: 5=Green, +=Gray, 3=Yellow, ==Green, 8=Yellow. What next?
- 1Green: 5 is in position 1, = is in its correct position.
- 2Yellow: 3 is in the equation but not in position 3. 8 is in the equation but not in the last position.
- 3Gray: + is not in the equation at all, so try *, -, or /.
- 4Try rearranging: "5*8=40" or "5-3=02" (invalid, leading zero). Try "5*8=40" if length matches.
Yellow tiles mean the character exists but is misplaced. Rearrange those characters into new positions while keeping green tiles fixed.
Narrowing Down with Elimination
After 3 guesses, you know: positions 1=5, 4==, and digits 2,6,7,9 are all Gray. What can you deduce?
- 1The equation starts with 5 and has = in position 4.
- 2Digits 2, 6, 7, 9 are eliminated, leaving only 0, 1, 3, 4, 5, 8 as possibilities.
- 3The format is 5??=??, so you need an operator in position 2 or 3.
- 4Try combinations like "5*3=15" or "5+8=13" depending on which operators have been tested.
Systematic elimination of gray characters dramatically reduces the possibilities, often leaving only a handful of valid equations by guess 4.
What is Equation Enigma?
Equation Enigma is a math logic puzzle inspired by the viral word game Wordle. Instead of guessing a hidden word, you guess a hidden mathematical equation. Each guess must be a valid equation where the left side equals the right side. After each attempt, colour-coded feedback reveals which digits and operators are correct, misplaced, or absent.
The game combines mental arithmetic with logical deduction. You need strong number sense to form valid equations, and you need strategic thinking to use the colour clues efficiently. Most players can solve the puzzle in 3 to 5 guesses once they develop a systematic approach.
Strategies for Solving Equation Enigma
The key to Equation Enigma is information density. Your first guess should test as many different digits and operators as possible. A guess like "9-4=10/2" tests five unique digits and three operators in a single move, giving you maximum feedback to work with.
After your first guess, focus on the green and yellow tiles. Green tiles are locked in place. Yellow tiles need to be moved to different positions. Gray tiles are eliminated entirely. By your third guess, you should have enough constraints to narrow the equation down to just a few possibilities.
Common mistakes include forgetting order of operations (multiplication and division before addition and subtraction) and accidentally creating equations with leading zeros. Always double-check that your guess is mathematically valid before submitting.
Learning Objective
Strengthen equation literacy and logical deduction by challenging players to construct valid mathematical equations through systematic elimination, reinforcing number relationships and operator understanding.
Best For
- Ages 10 to 12 (simple equations with basic operations)
- Ages 13 to 15 (multi-step equations requiring PEMDAS)
- Ages 16+ (complex equations and advanced deduction)
- Adults (daily brain teaser and logic training)
Curriculum Relevance
- Reinforces equation structure and the meaning of the equals sign
- Supports KS2/KS3 algebraic reasoning objectives (UK)
- Aligns with Common Core standards for expressions and equations (US)
- Develops the logical thinking skills tested in aptitude and reasoning exams
Teachers
A daily math puzzle for the whole class
Equation Enigma works brilliantly as a daily classroom starter. Project it on the whiteboard and let the class solve it together, discussing which guesses provide the most information. It naturally teaches equation structure, order of operations, and logical reasoning. The 6-guess limit encourages strategic thinking over random guessing.
Parents
The math version of Wordle your kids will love
If your child enjoys word puzzles like Wordle, Equation Enigma applies the same addictive format to mathematics. Each puzzle takes just a few minutes, making it perfect for daily practice. The colour-coded feedback system teaches self-correction without parental intervention, and the deduction skills transfer directly to test-taking strategies.
Students
Crack the hidden equation in 6 guesses
Equation Enigma is like being a math detective. You know there is a hidden equation, and each guess gives you clues. Green means you nailed it, yellow means close but wrong spot, gray means try something else. The challenge is using those clues strategically to figure out the secret equation before your 6 guesses run out.