Patterns & Reasoning
48 problem types
Generalize a Growing Pattern into a Rule
Complete addition and multiplication tables Operations
Find the rule in a fraction sequence OperationsFractions
Multiplication table folds to equal cells Operations
Write a growing pattern as an expression Operations
Find patterns in mixed-number sequences and sum FractionsOperations
Find shape and number rule together Operations
Find the constant skip-count step Base-ten numbers
Find the rule of a growing block stack Operations
Pattern in equations predicts the answer Operations
Perimeter of the nth figure by rule OperationsMeasurement & data
Sum-and-difference rules in a number grid Operations
Use neighbor differences to find rule Operations
Repeating Cycle Patterns
Weekdays repeat every seven days Base-ten numbers
Find one tick interval, then read the value Base-ten numbers
Find shape and color repeats separately Operations
Find the rule of changing clock times OperationsMeasurement & data
Locate and compare numbers on a number line Base-ten numbers
Use the seven-day weekday cycle Operations
Divisibility and Remainder Reasoning
Adjust the total to leave no remainder Operations
Exact division means remainder zero Operations
Narrow candidates by divisibility conditions Operations
Remainder must be less than the divisor Operations
Round the quotient up to carry the remainder OperationsMeasurement & data
The remainder is always less than the divisor Base-ten numbers
Sum of Evenly Spaced Numbers via the Middle
Consecutive integers around a middle value Operations
Sum consecutive numbers via the middle OperationsBase-ten numbers
Pair consecutive numbers with constant sum Operations
Sum a repeating number sequence Operations
Solve a Table or Graph Step by Step from Clues
Fill the table by solving knowns first Measurement & dataOperations
Solve graph values step by step from clues Measurement & dataOperations
Solve missing data from ratio or sum clues Measurement & dataFractions
Use total and clues to fill missing bars Measurement & dataOperations
Fill a table and complete a line graph from clues Measurement & data
Two-Category Counts from a Total
Count ways to make an amount with coins Measurement & data
Find right and wrong counts from total score Operations
Guess-and-check a legs problem Operations
Overlap Reduces the Total
Subtract the overlap from total length Measurement & data
Overlap shrinks the total length Measurement & dataOperations
Overlaps are one fewer than the strips Measurement & dataOperations
Objects versus Gaps (Fencepost Counting)
Gaps are one fewer than the objects Measurement & data
Count posts via length divided by spacing OperationsMeasurement & data
Posts versus gaps on lines and loops OperationsMeasurement & data
Intervals differ on open paths versus closed loops OperationsMeasurement & data