← Reasoning

Grade 5-1

45 problems

Maximize or minimize a mixed expression
Mixed Operations with Whole Numbers
Insert parentheses to change the result
Mixed Operations with Whole Numbers
Simplify calculations by regrouping
Mixed Operations with Whole Numbers
Ancient Egyptian fair sharing of loaves
Egyptian Fractions
Several ways to build unit-fraction sums
Egyptian Fractions
Unit fractions from the denominator's divisors
Egyptian Fractions
Compare the sizes of fractions
Fraction Calculations
Build fractions from number cards
Fraction Calculations
Simplify a long fraction sum
Fraction Calculations
How perimeter and area are related
Perimeter and Area
Perimeter of a rectilinear figure
Perimeter and Area
Perimeter of joined and cut rectangles
Perimeter and Area
Area of a complicated composite figure
Area of Figures
Area of overlapping figures
Area of Figures
Area of pieces that split a rectangle
Area of Figures
Pick's theorem from dot counts
Equal-Area Transformation (1)
Measure a figure in copies of a unit piece
Equal-Area Transformation (1)
Move a figure to make its area easy
Equal-Area Transformation (1)
Equal-area triangles between parallel sides
Equal-Area Transformation (2)
Straighten a border without changing areas
Equal-Area Transformation (2)
Trapezoid area found four different ways
Equal-Area Transformation (2)
Four fours: reach several large targets
Number Puzzles
Four fours: hit a target number
Number Puzzles
Place number cards to make an equation true
Number Puzzles
Erase one plus sign to hit the target
Making a Target Number
Insert plus and minus signs to make 100
Making a Target Number
Use odd and even to rule out totals
Making a Target Number
Append digits to hit several multiples
Divisibility Tests
Divisibility tests for 2 through 9
Divisibility Tests
Test for 11 by alternating digit sum
Divisibility Tests
Count divisors with a Hasse diagram
Primes and Divisors
Count primes with the sieve of Eratosthenes
Primes and Divisors
Prime factorization two ways
Primes and Divisors
Lockers left open by divisor-count parity
Applications of Prime Factorization
Perfect squares from even prime exponents
Applications of Prime Factorization
Trailing zeros from pairs of 2 and 5
Applications of Prime Factorization
The Euclidean algorithm for the GCD
Greatest Common Divisor and Least Common Multiple
Product equals GCD times LCM
Greatest Common Divisor and Least Common Multiple
GCD and LCM in tiling problems
Greatest Common Divisor and Least Common Multiple
Count a growing figure three ways
Rules and Correspondence
Who sits opposite in a circle
Rules and Correspondence
Regions of a circle cut by lines
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