Operations & Word Problems
46 problem types
Multiplication as Equal Groups
Count sticks needed via multiplication 3.OA.A.13.OA.A.3 · take
Multiplying by one and by zero 3.OA.B.53.OA.C.7 · take
Division as the Inverse of Multiplication
Dividend equals divisor times quotient 3.OA.B.63.OA.A.4 · take
Division as repeated subtraction 3.OA.A.23.OA.A.3 · take
Find the total first, then divide 3.OA.D.83.OA.A.3 · take
Larger dividend gives larger quotient 3.OA.A.23.OA.A.3 · take
Multiplicative Comparison and Unit Rate
Find the per-unit-weight rate first 3.OA.A.33.MD.A.2 · adapt
Fraction of a number: divide then multiply 3.NF.A.13.OA.A.2 · take
Distance grows in proportion to time 4.MD.A.23.OA.A.3 · adapt
Find the value of one unit 4.NBT.B.64.OA.A.2 · adapt
How many times the unit quantity 4.OA.A.24.NBT.B.5 · take
Speed is distance per unit time 4.MD.A.23.OA.A.3 · adapt
Slope of a time-distance line graph is speed 4.MD.A.25.MD.B.2 · adapt
Work Backwards to Recover a Start Value
Undo more/less to find original length 2.MD.B.5 · adapt
Recover the original number from a wrong product 3.OA.A.43.OA.C.7 · take
Recover the unknown, then recompute 3.OA.A.43.OA.B.6 · take
Reverse the operations to find the start 3.OA.D.83.OA.A.4 · take
Reverse the moves to recover original 4.G.A.3 · take
Skip-count backward to the start 4.NBT.A.2 · take
Undo a wrong fraction operation to recover the start 4.NF.B.3 · take
Reverse decimal operations to recover the start 5.NBT.B.7 · take
Undo a wrong decimal operation to recover the start 5.NBT.B.7 · take
Apply a Newly Defined Operation
Evaluate a custom-defined operation symbol 3.OA.D.83.OA.B.5 · take
Set up an expression and compute in order 3.OA.A.33.OA.D.8 · take
Solve shape-coded products in order 3.OA.A.43.OA.D.8 · take
Apply a defined symbol to compute with fractions 4.NF.B.3 · take
A new symbol can define a custom operation 4.OA.A.35.OA.A.1 · take
Find Two Unknowns from Sum and Difference
Find two lengths from sum and difference 2.MD.B.5 · adapt
Combine sum and difference of two weights 3.MD.A.23.OA.D.8 · adapt
Find a rectangle side via one unknown 3.MD.D.83.OA.A.4 · adapt
Reduce relations to a single-unknown equation 3.OA.D.83.OA.A.3 · adapt
Reduce to one unknown to solve 3.OA.D.83.NBT.A.23.OA.A.4 · take
Set up one-unknown equation for capacities 3.MD.A.23.OA.D.8 · adapt
Set up an equation with one unknown angle 4.MD.C.7 · take
Eliminate to find two decimals from sum and difference 5.NBT.B.7 · take
Track a Quantity Through Changes
Add poured water to find total capacity 3.MD.A.2 · adapt
Bouncing ball rises a fraction of its fall 3.NF.A.13.OA.A.2 · take
Find container weight after adding or removing 3.MD.A.2 · adapt
Net fill rate is inflow minus outflow 3.MD.A.23.OA.A.3 · adapt
Add per-day work fractions to find combined output 4.NF.B.3 · take
Use submerged and exposed parts to find bar length 4.NF.B.3 · take
Use weight differences to find the empty container 5.NBT.B.74.MD.A.2 · adapt
Get Closest to a Target Value
Choose digits for sum nearest a target 3.NBT.A.23.NBT.A.13.OA.D.8 · take
Smaller error means a better weight estimate 3.MD.A.2 · adapt
Build the decimal closest to a target from cards 5.NBT.B.74.NF.C.7 · take
Place consecutive whole numbers to sum decimals 5.NBT.B.7 · take