Joy of Problem Solving

A guided tour through our most beautiful and delightful puzzles.

Problem solving requires creativity, intuition, knowledge, and skill. It also requires practice.

This course dives deep into four mathematical explorations, each of which quickly goes beyond 'rote' learning, challenging you to explore patterns and create proofs. You'll get a mental workout that strengthens your problem solving abilities, especially in logic and algebra.

Interactive
quizzes

28

Concepts and
exercises

175+
  1. 1

    Intro to Problem Solving

    Apply creativity, lateral thinking, and mathematical skill.

    1. Logical Reasoning

      Warm up with these logic puzzles, ranging from simple to mind-bending!

    2. Geometric Shortcuts

      See how a clever perspective is often the key to geometric problem solving.

    3. Flipping Pairs

      Detangle the possible from the impossible in these interactive puzzles.

  2. 2

    Truth Tellers and Liars

    Deduce fact from fiction given assumptions and observations.

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      This Sentence Is True

      Reason out when these statements are true and when they're false.

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      If It Starts With If, Then...

      Explore the peculiar behavior of "If...then..." statements.

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      Jokers & Other Tricksters

      See what happens to logic when a "trickster" can either tell the truth or lie...

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      Humans & Vampires

      Wrangle each of the characters in this sequence into one of four crazy categories.

  3. 3

    Operator Searches

    Solve problems in reverse using the rules of arithmetic!

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      Strategies for + and -

      You have only two options for each box: plus or minus.

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      Use Only + and -

      What are all of the possible results of these equations using only plus and minus?

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      Concatenation Strategies

      Concatenation lets you push two digits together to make a two-digit number.

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      Concatenation, +, and -

      Strategically combine addition, subtraction, and concatenation together.

  4. 4

    Coin Rearrangements

    Can you slide, jump, and flip to transform one pattern into another?

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      Coin Warmups

      Pause a moment to think carefully and then rearrange these coins from one configuration to another.

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      Sliding Puzzles

      The strategies for solving these challenges get a bit more complex.

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      Sliding and Jumping Part 1

      In this game, not only can the coins slide, they can jump!

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      Sliding and Jumping Part 2

      In this version of the sliding and jumping and game, things get more restricted...

  5. 5

    Matchstick Puzzles

    These spatial puzzles are math problems in disguise!

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      Lateral Thinking Matchstick Puzzles

      Combine all of the strategies you've seen to solve this last set of challenges.

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      Overlapping Figures

      Stretch your intuition to new, creative perspectives.

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      Mastering Matches Moving

      Strategically move around these matchsticks to create overlapping shapes.

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      Removing Matchsticks

      Push your matchstick moving skills to the limit!