← Reasoning

Logic

62 problems

Solve a cryptarithm for each letter
Cryptarithms and Magic Squares
Complete a magic square
Cryptarithms and Magic Squares
Find the value each shape stands for
Cryptarithms and Magic Squares
Find the unknown by working backwards
Addition and Subtraction Word Problems
Set up the correct add/subtract equation
Addition and Subtraction Word Problems
Sort objects by a given criterion
Classification and Criteria
Classify by two criteria with a Venn diagram
Classification and Criteria
Infer the hidden sorting rule
Classification and Criteria
Chain attribute cards by one-attribute change
Attributes and Reasoning
Common and different attributes of two groups
Attributes and Reasoning
Deduce the hidden flipped cards
Finding Numbers That Fit Conditions
Insert plus and minus to make an equation
Calculating Cleverly
Deduce digits and place values from clues
Making Four-Digit Numbers
Solve a table from given clues
Tables and Graphs
Logic grid deduction table
Problem Solving with Tables
Draw a table to solve
Problem Solving with Tables
Find numbers meeting digit clues
Conditions and Numbers
Work backwards from the result
Applications of Multiplication and Division
Recover hidden digits in a vertical sum
Completing Equations
Cryptarithm digit deduction
Setting Up the Equation
Side length of a square from fitted figures
Shapes and Length
Multiplication cryptarithm
Multiplication
Multiplication synthesis challenge
Multiplication
Find unknowns satisfying multiple conditions
Multiplication and Division
Find fractions meeting conditions
Applying Fractions
Find an object's weight from balance
Weighing with Balances
Deduce weights from several balances
Weighing with Balances
Find weights from mobile balance
Weighing Applications
Find the counterfeit coin by weighing
Weighing Applications
Order objects by weight from comparisons
Weighing Applications
Measure a target with unmarked jugs
Measuring Capacity
Build a table to enumerate cases
Solving Problems with Tables
Logic grid deduction table
Solving Problems with Tables
Fill a table from conditions
Solving Problems with Tables
Combine mixed data to complete a graph
Interpreting Graphs
Judge claims from a line graph
Interpreting Graphs
Cryptarithm: Letters Stand for Digits
Cryptarithms and Hidden-Digit Puzzles
Recover Erased Multiplication Digits
Cryptarithms and Hidden-Digit Puzzles
Capstone: grid-sum and remainder conditions
Conditions and Division
Find a number from division clues
Conditions and Division
Smallest number meeting remainder bounds
Conditions and Division
Find a number from layered conditions
Large Numbers
Deduce stacking order from overlaps
Overlapping, Folding, and Cutting Paper
Find the divisor from remainder clues
Division
Cryptarithm: letters stand for digits
Arithmetic Puzzles
Recover erased digits in long multiplication
Arithmetic Puzzles
Find a fraction from sum and difference
Adding and Subtracting Fractions
Fill a bracket from win-loss clues
Leagues and Tournaments
Move one matchstick to fix an equation
Games of Wit
Final score after dropping highest and lowest
Adding and Subtracting Decimals
Insert parentheses to change the result
Mixed Operations with Whole Numbers
Solve using lines with equal sums
Foundations of Magic Squares
Which conditions force two triangles congruent
Congruent Figures
Complete a syllogism from two premises
Deductive Logic (1)
Deduction table decides a one-to-one matching
Deductive Logic (1)
Case-split on a hypothetical condition
Deductive Logic (2)
Seat people from adjacency clues
Deductive Logic (2)
Recover an answer key from scores
Truth and Falsehood
Exactly one statement is true
Truth and Falsehood
Truth-tellers and liars
Truth and Falsehood
Find a counterfeit of unknown weight
Balance Scales and Counterfeit Coins
Find the lighter counterfeit coin
Balance Scales and Counterfeit Coins