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Mathemagic

Level 1 · Mind Tricks

Psychic Math

Create the illusion of telepathy using nothing but basic algebra. By guiding a volunteer through five simple mental steps, you can "read their mind" and predict their final answer with absolute certainty—before they even say a word.


The Performance Script

The foundation of this trick is a carefully constructed algebraic equation. The steps you ask the volunteer to perform are designed to completely cancel out whatever original number they chose. In this specific routine, the mathematical dust always settles on the number 6.

The Five Steps (What You Say)

  1. "Think of any number."
  2. "Double it."
  3. "Add 12 to your result."
  4. "Divide that number by 2."
  5. "Finally, subtract your original secret number."

"I'm sensing... your answer is 6."

Peeking Behind the Curtain

Let's look at why this is mathematically guaranteed to work. If we assign the variable n to the volunteer's secret number, we can track exactly how the algebra forces our desired outcome:

StepInstructionAlgebraic value
1Think of nn
2Double it2n
3Add 122n + 12
4Divide by 2n + 6
5Subtract original(n + 6) − n = 6

Notice what happens at Step 4: the result is n + 6 (the volunteer's number plus our hidden constant). When you tell them to subtract their original number in Step 5, they are completely eliminating the variable n from the equation.

f(n) = ((2n + 12) / 2) - n
f(n) = (n + 6) - n
f(n) = 6

Customizing the Illusion

The true power of this routine is that it is completely customizable. You can force the final answer to be any number you want by adjusting the value you add in Step 3. The rule is simple: just add double your target number. If you want to predict the number 10, tell them to add 20. The algebra will always resolve perfectly.

Cognitive Benefits

Teaching this routine bridges the gap between arithmetic and abstract algebra. By translating verbal instructions into algebraic expressions, students learn that variables can be manipulated and canceled out entirely. This demystifies equations and provides a concrete, highly engaging framework for understanding algebraic functions.

Test your telepathy using the Performance Mode in the interactive sandbox below. It allows the volunteer to type their secret number out of sight, making the final "Reveal" button click feel genuinely magical.

Performance Tip

To make this feel like a true mind-reading routine, don't just blurt out the answer at the end. Put your hand to your head, act like you are struggling to "receive" their thoughts, and reveal the number slowly. The presentation is what turns a basic math equation into an unforgettable magic trick.

Try It Yourself

Interact with the math below to see real-time visual breakdowns.

Live Sandbox

Psychic Math

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Enter any number above to watch the algebra cancel itself out.

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Offline Practice

Free Worksheet — Psychic Math

5 ready-to-perform scripts with different forced answers (6, 8, 10, 12, 15), plus the algebraic derivation for each so students can create their own version.

  • 20 graded practice problems
  • Step-by-step answer key
  • Student reference card (wallet size)
  • A4 and US Letter formats
Download Free Worksheet (PDF)