*By Michael Hartley*

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This web page gives you a classic "Guess My Number" magic trick, and some variations on it. For each of these tricks, the magician (or is that *mathemagician*?) asks the subject to think of a number, then shows him or her some cards. For each card, the subject tells the magician whether their number is written on the card. After all the cards are shown, the magician knows the number.

To get a better idea, just watch the video below.

From this page, you can download and print your own sets of cards, and read the instructions on how to use each set.

### The original magic number cards

In the classic version of this trick, there are seven cards - you can download a set here. To use them,

- Ask the subject to think of a number from 1 to 100.
- Show them the cards one by one, and ask
*"Is your number on this card?"* - Whenever the subject says
, note the first number on the card - either 1, 2, 4, 8, 16, 32 or 64.*"Yes"* - Add up all these numbers, and you'll have the subject's secret number.

Of course, it's a good idea to practice first, to make sure you've got the idea of the trick - and are confident doing the addition in your head!

There are a couple of ways this trick could go wrong.

- If you make a mistake in your addition, of course you'll end up with the wrong answer. If this happens, just try again, and add more carefully next time!
- Likewise, if the subject says
when they should have said*Yes*- or the other way around - you won't get their number. If this happens, ask them what their number was, and show them that one of their answers was wrong.*No* - You might find that your subject already knows the trick! Perhaps they'll say something like
or something like that. In that case, try one of the other sets of cards below.*"I know this one, it works by binary numbers"*

- Don't tell people the trick! Mathemagicians never tell their secrets! (Ok, I told you, but you're going to be a mathemagician soon, too!)
- Get good at adding up the cards in your head! It might help to memorise a few particular sums : 64+32=96, 64+16=80, 32+16=48.
- Make sure people don't realise you are adding anything up. Be careful not to start muttering "Um, let's see, carry 1, that makes 42, then..."

### Easier to add, perhaps?

In the version above, you'll sometimes have to add six of the seven numbers - for example, if the subject picks 63 or 95. I've prepared another set of seven cards where the most addition you'll ever have to do is to add up five numbers.

So,

- Download the cards here, print them out, practise the trick, and try it on your friends!
- Note that the subject's number should still be between 1 and 100. This time, the first numbers of the cards are 1, 2, 4, 8, 15, 28 and 56.

### Up to 1000!

With a set of only 10 magic cards, it's possible to divine any number from 1 to 1000! Of course, the cards are a lot bigger (and the numbers you have to add are a lot bigger too!), but if you're game, you can download and print the set of 10 cards that you need. Then, the trick proceeds as follows...

- Ask the subject to think of a number from 1 to 1000.
- Show them the cards one by one, and ask
*"Is your number on this card?"* - Add up the first numbers on all the cards they say
to (the "first numbers" on the cards are 1, 2, 4, 8, 16, 32, 64, 128, 256 and 512 - but your subject can't say*Yes*to every card.*Yes* - The sum will be their secret number!

### Getting numbers up to 100 with only 5 cards

When I was testing out the first set of magic cards, some people complained there were too many questions to answer. So, I made a new set, with five cards instead of seven - and slightly different rules.

If you download that cards you'll see that the cards have some numbers printed in red, and some in green. Also, the cards are labeled **Card 1**, **Card 3**, **Card 9**, **Card 27** and **Card 81**. The way the trick works is like so :

- Ask the subject to think of a number from 1 to 100.
- Show them the cards one by one, and ask
*"Is your number on this card? And if so, what color is it?"* - Add up the cards on which their number is
**Green**. - Add up the cards on which their number is
**Red**. - Subtract the red total from the green total, and you have their secret number.

- Suppose I think of the number
**69** - Then, I'll tell you my number is
**Green**on**Card 81**,**Red**on**Card 3**and**Card 9**, and it doesn't appear on**Card 1**or**Card 27** - The total for the
**Green**numbers is just**81**. - The total for the
**Red**numbers is**3 + 9**, that is,**12**. - So if you work out
**81 - 12**you get my secret number**69**.

**37**as the secret number.

Some tips and tricks for this version of the magic trick :

- The mental math is tougher. Make sure you're confident before trying the trick on your friends!
- In case you don't have a color printer, I've made a black and white set. Each number has either a picture of a
**P**lane (for the numbers you "**P**lus"), or a**S**tar (for those you**S**ubtract) - It will be harder for the subject to guess the trick if you cut them so the titles
**Card 1**,**Card 3**and so on are not visible. That means you have to remember which card is which, but you'll be able to baffle your friends and family for that much longer!

### And that's all!

Hope you enjoy these magic number card sets!

Yours, Dr Mike...

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