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Math Studio 24 | Create & Solve Custom Number Puzzles

Design custom arithmetic puzzles! Choose four numbers and a target value. Our live solver automatically checks if the numbers are solvable before you generate a secure encrypted play link to share with friends, family, or students.

🎮 Play Make 24 Online →
Custom Numbers (1-20) Adjustable Target (1-100) Live Solvability check Encrypted Challenge URLs
1

Enter Four Numbers

Choose four integers that players will combine to reach the target.

Numbers must be integers between 1 and 20.
2

Set Target Value

Specify the mathematical target players must reach (Standard is 24).

Target value must be an integer between 1 and 100.
✅Solvable
🔢 Numbers Set:3, 3, 8, 8
🎯 Target:24
🧠 Unique Solutions:1 solutions
📖 Sample Solutions:
8 / (3 - (8 / 3)) = 24

Overview & Capabilities

Create custom 24 math puzzles, classroom mental arithmetic drills, and number manipulation challenges. Choose any four numbers and target value (default 24), verify mathematical solvability using a fractional precision engine, explore all valid operator permutations (+, -, *, /, parentheses), and generate shareable math challenges.

Tutorial

How to Use

01
Enter any 4 numbers (from 1 to 99) and specify your target number (default 24).
02
Click 'Verify Solvability' to confirm the puzzle has at least one valid arithmetic solution.
03
Review the Solutions Drawer to see all possible equation permutations and order-of-operation trees.
04
Choose gameplay mode: Card Merger Mode (step-by-step mobile merging) or Classic Formula Mode.
05
Click 'Share Custom Puzzle' to copy a direct playable challenge link.
Capabilities

Key Features

Fractional Precision Solver: Evaluates expressions with exact rational fractions (e.g. 8 / (1 - 1/3) = 24), preventing rounding inaccuracies.
Exhaustive Solution Engine: Discovers and displays all possible valid mathematical expressions for any 4-number set.
Dual Interaction Modes: Tactile Card Merger mode for touchscreens and mathematical keyboard formula mode for desktop.
Multi-Level Clue System: Provides progressive hints from operator suggestions to partial intermediate equations.
Solvability Validator: Automatically prevents un-solvable puzzle configurations from being shared.
Applications

Common Use Cases

Educator Assignments: Math teachers creating homework and classroom challenges.
Friendly Competitions: Sending customized brain teasers to friends.
Math Tutoring: Creating custom puzzles targeting specific difficulty tiers.
Guidance

Tips & Best Practices

💡
Try to use numbers that have multiple divisors (like 2, 3, 4, 6, 8) to make solving easier.
💡
If the solver warns that the puzzle is unsolvable, try tweaking one of the numbers or the target.
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Answers

Frequently Asked Questions

Q How does the Make 24 game improve mental math agility?

Make 24 challenges players to deconstruct numbers into factors and multiples (e.g. recognizing that 24 can be formed by 6*4, 8*3, 12*2, 48/2, or 20+4), reinforcing arithmetic flexibility and order of operations.

Q Can fractional intermediate numbers be used to reach 24?

Yes! Many famous difficult puzzles require fractions (for example, using numbers 3, 3, 8, 8: 8 / (3 - 8/3) = 8 / (1/3) = 24). Our engine handles fractional precision flawlessly.

Q Can teachers change the target number from 24 to something else?

Yes! While 24 is the classic standard, you can set any custom integer target (e.g. target 36, 50, or 100) to create fresh curriculum exercises.