Sample notes by grade and unit
Copy a notebook into your account and start solving. Every problem comes with a worked solution, and you can gather just the ones you got wrong into a new set to solve again.
These problems are generated automatically. The answers are derived as each problem is built and are checked by tests, but mistakes are still possible — please tell us if you find one.
200 problemsGrade 4-1 · Large NumbersPlace value, comparisons and clue puzzles with numbers in the millions.200 problemsGrade 4-1 · AnglesAngles on a line, in triangles, in quadrilaterals and on a clock face.200 problemsGrade 4-1 · Multiplication and DivisionWord problems where the remainder decides the answer.200 problemsGrade 4-1 · Slides, Flips and TurnsFlips, turns and slides — the parts you can reason out without drawing.200 problemsGrade 4-1 · Bar ChartsCharts where one gridline is worth more than one.200 problemsGrade 4-1 · Number PatternsFind the rule, then take it somewhere the list does not reach.200 problemsGrade 4-2 · Adding and Subtracting FractionsSame denominator, harder question. Second semester, unit 1.200 problemsGrade 4-2 · TrianglesTwo equal sides, and everything that follows. Second semester, unit 2.200 problemsGrade 4-2 · DecimalsWhere the point goes, and what follows. Second semester, unit 3.200 problemsGrade 4-2 · QuadrilateralsParallel lines, and everything they carry. Second semester, unit 4.200 problemsGrade 4-2 · Line GraphsWhat one gridline is worth, and what follows. Second semester, unit 5.200 problemsGrade 4-2 · PolygonsCount the diagonals, add the angles. Second semester, unit 6.200 problemsGrade 5 Number ReasoningMulti-condition number puzzles: work backwards, remainders, common multiples.200 problemsGrade 5 Fraction Word ProblemsMixed-number word problems: leftovers, half-emptied containers, overlapping groups.200 problemsQuadratic Formula PracticeSolve ax² + bx + c = 0 with the formula, from integer roots to irrational ones.200 problemsFactoring Trinomials PracticeTurn x² + bx + c back into two binomials, with and without a common factor.200 problemsSystems of Linear Equations PracticeTwo equations, two unknowns — solve by elimination or substitution.200 problemsSlope and y-Intercept PracticeRead slope and y-intercept off two points, including fractional slopes.200 problemsPythagorean Theorem PracticeMissing sides of right triangles, from whole-number triples to radicals.