# What is Math 24?

Status
Complete
Category
ICMSD
Level
Order
Est. Time
45 mins
Tags
Math
Related to Smart Teacher DB (Column)
Pre-requisites

#### What's the goal?

Learn how to play Math24 - a game that teaches you to solve math problems and use your creativity.

#### Why does it matter?

Most math problems in real life are not spelled out for you, like "tell me what 3 + 4 equals?" It is harder but more important to be able to figure out what the right problem is to solve.
Plus, Math24 is a fun game! In some areas, there are even tournaments where kids compete to see who can solve the most cards the fastest.

#### Content

A Math24 card gives you four numbers. The goal is to use all four numbers only once to get to 24. You can do this by adding, subtracting, multiplying, and dividing.
The card game looks like this:
Let’s go through an example of how to play. Let’s say we have a card with the following numbers on it:
6 | 3 | 2 | 1
There are a lot of ways you could combine these numbers, over 3,500 different ways! It would take you a long time to try each of those.
But in this case, the numbers here are all pretty easy to work with, and are all divisors of 24. So we should be able to see a solution. In fact, there are a few:
• 6 + 2 = 8, 8 x 3 = 24, 24 x 1 = 24
• 3 + 2 = 5, 5 - 1 = 4, 4 x 6 = 24
• 6 x 2 = 12, 3 - 1 = 2, 12 x 2 = 24
As you can see, there are a few different ways to get to 24, and we didn't even have to use division!
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Tip: it is good to learn all the different ways you can multiply two numbers together to get to 24. We actually see them all above: 6 x 4 = 24 8 x 3 = 24 12 x 2 = 24 24 x 1 = 24
So one way you can try to solve a Math24 problem is to get from four numbers down to just 2 that are either 6 and 4, 8 and 3, 12 and 2, or 24 and 1.
But, not every problem is that easy! Let's try this one:
7 | 3 | 7 | 4
Hmm, none of the approaches above would work here! What can we do? Try to solve this one yourself before reading on.
...
...
Did you get it? This one is a little tricky, but isn't too bad.
🅰️
7 - 4 = 3, 3 x 7 = 21, 21 + 3 = 24
Or maybe you got the other way:
🅰️
7 x 4 = 28, 7 - 3 = 4, 28 - 4 = 24
Even if these are a bit tricky, don't worry about it! It's pretty awesome that your brain can get you to solve these without trying every single combination of numbers. As you do these over time, you'll start to notice some patterns and solve them a lot quicker!

#### Practice

Okay, now that you have the general idea, try to solve these problems on your own:
5 | 4 | 3 | 2
5 | 6 | 7 | 6
6 | 3 | 7 | 1
9 | 8 | 6 | 2 (Hard)
How did it go? At least one of these was a bit tricky, don't worry if you couldn't solve all of them!

#### Assessment

Here are five problems for you to solve. Write out or type up the solutions and provide them to your teacher to check!
4 | 3 | 2 | 1
9 | 3 | 6 | 2
9 | 6 | 6 | 5
7 | 2 | 2 | 4
3 | 3 | 5 | 3

#### What's Next?

• Move up to the next level with our [advanced course], [double digits], [decimals], or [fractions] lessons! Coming Soon