Chinese math game

Play 24

The addictive math game

🎲 Start game
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4 numbers

You get four random numbers to combine.

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Operations

Add, subtract, multiply and divide with parentheses.

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Reach 24

Your goal: use every number and reach 24.

Rules

How to play

You get 4 random numbers between 1 and 9. Your mission: combine them with addition, subtraction, multiplication, division and parentheses to reach exactly 24.

  1. 1

    Use all four numbers

    Each of the four numbers must be used exactly once. No more, no less.

  2. 2

    Allowed operations

    Addition, subtraction, multiplication and division. Parentheses are your friends for tweaking precedence.

  3. 3

    Free order

    You can rearrange the numbers any way you like. There is no need to use them in the order shown.

  4. 4

    Race the clock

    The timer starts after the countdown. The faster you solve it, the better your personal best.

History

Origin of the game

The 24 game, known in Chinese as 算 24 点 (suàn èrshí sì diǎn, “calculate 24 points”), became popular in 1980s China as a mental arithmetic exercise for primary school children. Its simplicity —four numbers, four operations, one goal— turned it into an educational phenomenon.

In 1988 the American mathematician Robert Sun patented a card-based version that brought the game to the Western world. Since then, international tournaments have emerged where top players solve each hand in under five seconds.

Today it is used in classrooms across the globe as a fun way to train numerical agility and mathematical creativity, and it features in many school olympiads.

Tricks

Strategies to reach 24

Knowing a few shortcuts saves you a lot of time. Almost every combination opens up if you remember 24's divisors and play a bit with fractions.

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Divisors of 24

24 = 1×24 = 2×12 = 3×8 = 4×6. Look for two numbers that already form one of these products and build the missing factor with the other two.

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Key multiples

Products like 3×8, 4×6 and 2×12 appear over and over. If you spot a 3, ask yourself whether you can make 8 with the rest.

Useful fractions

When nothing lands on round numbers, division saves you. For instance, 8 / (3 − 8/3) = 24 is the classic 3-3-8-8 puzzle.

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Force a 0 or a 1

If a number does not fit, find a way to turn it into 1 (multiplying by 1 changes nothing) or 0 (adding 0 doesn't either).

Variants

Famous variants

Classic 24

Four cards from 1 to 9, target 24, only addition, subtraction, multiplication and division. The most widespread school version.

Full deck

Played with the whole French deck: J=11, Q=12, K=13 and the Ace usually counts as 1. Multiplies the variety of problems.

With fractions and powers

In the advanced mode, exponents and roots are allowed, opening up combinations that would be impossible in the basic game.

Variable target

Instead of always aiming for 24, a different daily target is chosen. Great for keeping things fresh and ramping up difficulty.

Unsolvable

Impossible combinations

Out of the 126 distinct combinations of four digits between 1 and 9, only two cannot be solved with addition, subtraction, multiplication, division and parentheses:

#1
1 · 6 · 7 · 8
#2
3 · 4 · 6 · 7

Our generator always discards these, so every game has at least one guaranteed solution.

FAQ

Frequently asked questions

Do I have to use all four numbers?+
Yes. Each of the four numbers must appear exactly once in your expression. That is the canonical rule of the game.
Can I repeat the same number?+
No. Each tile can be used only once. In our generator the four numbers are always distinct so that games stay varied.
Can divisions produce decimals?+
Yes. Intermediate results can be fractions or decimals. The only thing that matters is that the final result equals exactly 24.
Are exponents or roots allowed?+
Not in the classic version. Only the four basic operations and parentheses. Some variants do include them, but they are not standard.
How many solutions does each combination have?+
It depends. Some admit dozens of equivalent solutions; others have a single tricky path. The fun is in finding yours.

Ready to reach 24?

Free, no signup needed, and a single game lasts under a minute.

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