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Logic

Stretch your analytic muscles with truth-tellers, liars, logical robots, and more!

The beginning of our introductory math journey is Logic. Through these challenging problem solving exercises, you'll construct the critical thinking skills that are the basis for mathematical reasoning.

You'll use limited information to make predictions – eliminating the impossible to uncover the truth. This course builds up to some truly mind-bending challenges!

Interactive
lessons

28

Concepts and
exercises

135+
  1. 1

    Introduction

    Put your logic to the test with these warmups!

    1. Order Logic

      Solve problems by visualizing relationships.

    2. 5-Minute Practice

      Use practice to keep your skills sharp.

    3. Abstract Order Logic

      There's often more than one way to solve a problem.

    4. Strategic Order Logic

      Stretch the information you're given as far as you can.

  2. 2

    Puzzles and Riddles

    Eliminate the impossible and uncover the truth!

    1. Included with
      Brilliant Premium

      Truth Seeking

      Find out who is telling the truth and who is lying.

    2. Included with
      Brilliant Premium

      5-Minute Practice

      Use practice to keep your skills sharp.

    3. Included with
      Brilliant Premium

      Worst Cases

      Solve problems by considering the worst case scenario.

    4. Included with
      Brilliant Premium

      Shuffles

      Where did everything get shuffled to?

  3. 3

    Multi-Level Thinking

    Even trickier puzzles and the tools you need to solve them.

    1. Included with
      Brilliant Premium

      I Don't Know

      Can you gain information from ignorance?

    2. Included with
      Brilliant Premium

      5-Minute Practice

      Use practice to keep your skills sharp.

    3. Included with
      Brilliant Premium

      Hat Puzzles

      Can you figure out who can figure out the color of their hat?

    4. Included with
      Brilliant Premium

      Hat Colors with Strategy

      Now there are more hats and more people.

  4. 4

    The Rational Detective

    1. Included with
      Brilliant Premium

      Androids

      Can you get a lying android to tell you the truth?

    2. Included with
      Brilliant Premium

      Extrapolate

      What happens when you try to apply logic to a crowd?

    3. Included with
      Brilliant Premium

      10-Minute Practice

      Use practice to keep your skills sharp.

    4. Included with
      Brilliant Premium

      Unknown Answers

      Compare answers to see if you can unpack the truth.