← Reasoning

Pattern & rule

67 problems

Read positional rod numerals
Ancient Numbers
Represent numbers by figure rule
Ancient Numbers
Convert ancient symbol numerals
Ancient Numbers
Analogical reasoning with figure pairs
Attributes and Reasoning
Find missing numbers in a skip-count rule
Making Four-Digit Numbers
Broken clock with constant drift
Time and Duration
Train timetables and elapsed time
Time and Duration
Weekday of a date from the 7-day cycle
Time Zones and the Calendar
Count stones at a given step of a growing pattern
Various Patterns and Rules
Find numbers placed by an arrangement rule
Various Patterns and Rules
Find the missing or nth shape in a pattern
Various Patterns and Rules
Find the rule for a growing figure
Rules and Problem Solving
Discover the hidden operation rule
Rules and Problem Solving
Decode the shape-to-number rule
Rules and Problem Solving
Complete the multiplication table
The Multiplication Table
Units-digit pattern of each times table
The Multiplication Table
Apply a newly defined symbol rule
Rules and Defined Operations
Lengths in an Arithmetic Progression
Bars and Length
Clock chimes and hand cycles
Exploring Clocks
Simplify long sums using regularity
Three-Digit Calculation
Sum shaded numbers in an array
Applications of Multiplication and Division
Shrinking self-similar shapes
Meaning of Fractions
Finding equivalent fractions
Comparing Fraction Sizes
Find a fraction in a patterned sequence
Applying Fractions
Old multiplication methods
Multiplication Patterns
Finding the hidden rule
Multiplication Patterns
Find the rule in a fraction sequence
Applying Fractions
Sum of a rectangle in a number grid
Finding Sums Using Products
Sum of consecutive odds and evens
Finding Sums Using Products
Sum of consecutive numbers by pairing
Finding Sums Using Products
Find cells from a window-sum rule
Conditions and Division
Finding the day of the week
Applications of Division
Division applications challenge
Applications of Division
Sequences and units-digit cycles
Applications of Division
Diameter and radius in nested circles
Circles and Length
Equivalent fractions from a diagram
Size of Fractions
Convert between ancient numeral systems
Large Numbers
Find the rule, fill the blank
Number Sequences
Find a far-off term of a sequence
Number Sequences
Sum an evenly spaced sequence
Number Sequences
Locate a number in a repeating cycle
Number Arrangement Tables
Find the rule in stacked equations
Number Arrangement Tables
Rule for a growing matchstick figure
Working with Sequences
Rabbit pairs and the Fibonacci sequence
Working with Sequences
Sierpinski triangle stage counting
Working with Sequences
Angles swept by the clock hands
Clocks and Angles
Infer and use the cross multiplication method
Multiplication
Simplify products by decomposing factors
Multiplication
Fraction sequences and their tenth terms
Adding and Subtracting Fractions
Group decimals to simplify a long sum
Adding and Subtracting Decimals
Simplify a long fraction sum
Fraction Calculations
Pick's theorem from dot counts
Equal-Area Transformation (1)
Divisibility tests for 2 through 9
Divisibility Tests
Test for 11 by alternating digit sum
Divisibility Tests
Count a growing figure three ways
Rules and Correspondence
Find the rule linking two numbers
Finding the Hidden Rule
Iterate a rule to a far term
Finding the Hidden Rule
Evaluate nested defined operations
Finding the Hidden Rule
Find the hidden rule, then place numbers
Number Arrangements
Sum evenly spaced runs via the middle
Averages
Compute with newly defined operations
Fraction and Decimal Calculations
Angle between the hands at a given time
Clocks and Angles
When the hour and minute hands overlap
Clocks and Angles
Cancel down a long fraction product
Mixed Operations with Fractions
Repeated shuffle returns in a cycle
Swapping and Flipping
Evaluate a nested defined operation
Mixed Fraction and Decimal Calculations
Split fractions to telescope a sum
Mixed Fraction and Decimal Calculations