← Reasoning

Grade 4-1

45 problems

Convert between ancient numeral systems
Large Numbers
Find a number from layered conditions
Large Numbers
Rename large numbers by place value
Large Numbers
Draw the outline of a folded rectangle
Overlapping, Folding, and Cutting Paper
Unfold paper after cutting a piece out
Overlapping, Folding, and Cutting Paper
Deduce stacking order from overlaps
Overlapping, Folding, and Cutting Paper
Which glyphs survive a turn or flip
Transformations of Figures
Spot rotated copies of a given shape
Transformations of Figures
Draw the figure a mirror doubles
Transformations of Figures
Join unlike shapes edge to edge
Joining and Cutting Figures
Cut a figure into congruent pieces
Joining and Cutting Figures
Join congruent shapes edge to edge
Joining and Cutting Figures
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
Find an entry by row and column
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
Counting palindromic numbers
Making Many Kinds of Numbers
Ascending and descending digit numbers
Making Many Kinds of Numbers
Find the nth largest card number
Making Many Kinds of Numbers
Count digits used over a range
Numbers and Digit Counts
Count how often each digit appears
Numbers and Digit Counts
Sum of every digit written
Numbers and Digit Counts
Find angles by grouping equal pairs
Triangles and Angles
Count acute angles among intersecting lines
Triangles and Angles
Angles from overlapping right-triangle set squares
Triangles and Angles
Chase angles through triangles in a crossing figure
Polygons and Angles
Angle made by folding rectangular paper
Polygons and Angles
Sum of a polygon's exterior angles
Polygons and Angles
Times whose clock-hand angle is acute
Clocks and Angles
Angles swept by the clock hands
Clocks and Angles
Where the hour hand sits within the hour
Clocks and Angles
Infer and use the cross multiplication method
Multiplication
Order products by where digits are placed
Multiplication
Simplify products by decomposing factors
Multiplication
Find the divisor from remainder clues
Division
Numbers whose quotient equals the remainder
Division
Surplus and shortage when sharing equally
Division
Cryptarithm: letters stand for digits
Arithmetic Puzzles
Magic cross with equal line sums
Arithmetic Puzzles
Recover erased digits in long multiplication
Arithmetic Puzzles