Numbers & Place Value
51 problem types
Place-Value Regrouping
Ten in a place carries forward Base-ten numbers
Carry ten units to the next place Base-ten numbers
Skip-count by the changing place value Base-ten numbersOperations
Ten hundreds make one thousand Base-ten numbersMeasurement & data
Ten of a unit carries to the next place Base-ten numbers
Ten tenths make one whole Fractions
Times ten adds one place Base-ten numbers
Decimal point position predicts the product Base-ten numbers
Build the Largest or Smallest Value from Digit Cards
Big digits in high places Base-ten numbers
Place big digits high for largest product OperationsBase-ten numbers
Place digit cards for largest or smallest product Base-ten numbersOperations
Count numbers built from digit cards Base-ten numbers
Smaller divisor makes a bigger quotient Base-ten numbers
Build the largest proper fraction Fractions
Make result largest or smallest Operations
Place big digits in high places to maximize product Base-ten numbers
Dividing a bigger number by a smaller one grows the quotient Number systemExpressions
Dividing a smaller number by a bigger one shrinks the quotient Number systemExpressions
Pin Down a Number from Digit and Range Conditions
List two-digit numbers from digit conditions Base-ten numbers
Bigger addend, bigger sum OperationsBase-ten numbers
Bound an inequality at equality Operations
Estimate a product to bound an unknown Base-ten numbersOperations
Estimate a product to solve an inequality Base-ten numbersOperations
Find a number satisfying product bounds Operations
Build a number from digit conditions in order Base-ten numbers
Compare numbers with an unknown digit Base-ten numbers
Compare place by place to bound an unknown digit Base-ten numbers
Find a number from digit clues Base-ten numbers
Find original number range from rounded result Base-ten numbers
Round by looking at lower-place digits Base-ten numbers
Largest difference uses max and min bounds ExpressionsBase-ten numbers
Decompose a Number into Parts and Factors
Count groups several equivalent ways Operations
One number, many addition expressions Base-ten numbersOperations
A number divides by its factor pieces OperationsBase-ten numbers
Different factor pairs, same product Operations
Combine part expressions into one expression Operations
Decompose into sums of unit fractions Fractions
Factor out a common factor with parentheses OperationsBase-ten numbers
Recover Hidden Digits from Carries
Deduce missing digits in a multiplication OperationsBase-ten numbers
Fill long-division blanks from the known Operations
Recover hidden digits using regrouping Base-ten numbersOperations
Recover missing digits from column carries Base-ten numbersOperations
Deduce hidden digits from the ones place up Base-ten numbers
Inequality Range Membership
Find the number before it was rounded ExpressionsNumber systemBase-ten numbers
Inclusive vs exclusive range boundaries ExpressionsNumber system
Multiplying both sides keeps the inequality direction ExpressionsNumber system
Overlap of two ranges on a number line ExpressionsNumber system
Rounding is an up or a down Number systemExpressionsBase-ten numbers
Simplify the expression before comparing Number systemExpressions