IA ideas library
Games and puzzles Maths IA ideas
Board games, card games, video games and puzzles are closed worlds with clear rules — which makes them perfect for exact mathematics. You can often calculate the answer precisely, then check it by playing or simulating.
Pick a game you actually play. Knowing the house rules, the tactics people use and the moments that feel unfair gives you questions no textbook asks.
Games & puzzles ideas (11)
- How long does a game of Snakes and Ladders last?AI HLAA HLAmbitious
- Which Monopoly squares are landed on most often?AI HLAA HLAmbitious
- How big is White's advantage in chess, and does it depend on skill?AI SLAI HLAA HLSolid
- Can you beat people at rock–paper–scissors?AI SLAI HLAA SLAA HLAccessible
- What are the chances of rolling a Yahtzee in one turn?AA SLAA HLAI SLAI HLSolid
- How many attempts until the rare item? Drop rates and pity systemsAA SLAA HLAI SLAI HLSolid
- How many positions does a Rubik's Cube have?AA HLAA SLAmbitious
- How many different games of noughts and crosses are there?AA SLAA HLAI SLAI HLSolid
- How many shuffles does it take to mix a deck of cards?AI HLAA HLAI SLAmbitious
- What are the odds in a Risk battle?AA SLAA HLAI SLAI HLSolid
- Where should you build your first settlement in Catan?AA SLAI SLAA HLAI HLAccessible
Also relevant (5)
- How much does a small edge on each point matter in tennis?AA SLAA HLAI SLAI HLSolid
- How many packs does it take to finish a sticker album?AA SLAA HLAI SLAI HLSolid
- When should you stop looking? The 37% rule for choosing the bestAA HLAA SLAI HLAmbitious
- The Monty Hall problem when the host is forgetfulAA SLAA HLAI SLAI HLSolid
- Where should I aim on a dartboard?AI SLAI HLAA HLAmbitious
Frequently asked questions
Can I write my IA about a video game?
Yes, if there is real mathematics in it: drop rates and expected numbers of attempts, damage formulas, optimal strategies or map geometry. Check that the game's numbers are published or that you can measure them.
Do I need to write a computer program?
No, but a simulation (spreadsheet or a short script) is a strong way to check an exact calculation. Explain what the simulation does; include the code in an appendix if it is long.
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