Mathematics Knowledge

Practice all of Mathematics Knowledge

Questions from every topic, mixed together. The quickest way to see where you stand.

Or practice one topic

Best right after you read that topic’s lesson, to check it stuck. These are the 19 topics in Mathematics Knowledge, in the order worth learning them.

• Signed Numbers and Absolute ValueOperations with negatives, and absolute value as distance from zero.
• Order of OperationsEvaluating an expression in the right sequence, including nested grouping.
• Factors, Multiples and PrimesPrime numbers, prime factorization, greatest common factor, least common multiple, and the divisibility rules.
• Fractions, Decimals and PercentsOperating on fractions and converting freely among the three forms.
• Exponents and RootsExponent rules, perfect squares, and simplifying radicals.
• Scientific NotationWriting and operating on very large and very small numbers.
• Algebraic ExpressionsTerms, coefficients, like terms, and evaluating an expression at a value.
• Solving Linear EquationsIsolating a variable through one step or several, including equations with parentheses.
• InequalitiesSolving and graphing inequalities, and the sign flip on multiplying by a negative.
• Systems of EquationsTwo equations and two unknowns, by substitution and by elimination.
• Factoring and QuadraticsCommon factors, FOIL, factoring trinomials, and solving quadratic equations.
• Angles and LinesAngle pairs, parallel lines cut by a transversal, and angle sums.
• Triangles and the Pythagorean TheoremTriangle types, area, the Pythagorean theorem, and similar triangles.
• Quadrilaterals and PolygonsPerimeter and area of rectangles, parallelograms, trapezoids and regular polygons.
• CirclesRadius, diameter, circumference, area, and arcs.
• Solids, Volume and Surface AreaPrisms, cylinders, cones, pyramids and spheres.
• Coordinate Geometry and SlopePlotting points, slope between two points, and the distance and midpoint formulas.
• Mean, Median, Mode and RangeThe four summary statistics and when each is asked for.
• Probability and CountingSingle and compound events, independence, and basic counting.