Mathematics

Mathematics

From your first numbers to algebra: step by step, with plenty to play with.

Topics build on each other, but feel free to explore anywhere.

Numbers & arithmetic

15 topics · 146 exercises

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1Numbers & place value10 exercises 2Addition10 exercises 3Subtraction10 exercises 4Multiplication10 exercises 5Division10 exercises 6Rounding & estimating10 exercises 7Mental maths10 exercises 8Negative numbers10 exercises 9Order of operations10 exercises 10Factors & multiples10 exercises 11Roman numerals8 exercises 12Calculating with time8 exercises 13Quantities & units10 exercises 14Written arithmetic10 exercises 15Large numbers10 exercises

Next-level arithmetic

13 topics · 128 exercises

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1Divisibility & remainders10 exercises 2Prime numbers10 exercises 3Division with remainder10 exercises 4Powers of ten & big numbers10 exercises 5Scientific notation10 exercises 6Calculating with negatives10 exercises 7Absolute value10 exercises 8Calculating with decimals10 exercises 9Estimating like a pro10 exercises 10Prime factorisation8 exercises 11Rational & irrational numbers10 exercises 12Repeating decimals10 exercises 13Complex numbers10 exercises

Fractions, percentages & ratios

12 topics · 120 exercises

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1Understanding fractions10 exercises 2Calculating with fractions10 exercises 3Mixed numbers10 exercises 4Decimals10 exercises 5Percentages10 exercises 6Percentage change10 exercises 7Multiplying & dividing fractions10 exercises 8Ratios & scale10 exercises 9The rule of three10 exercises 10Interest & discounts10 exercises 11Compound interest10 exercises 12Proportional & inversely proportional10 exercises

Algebra & functions

16 topics · 160 exercises

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1Powers & roots10 exercises 2Variables & terms10 exercises 3Solving equations10 exercises 4Terms with brackets10 exercises 5Equations with brackets10 exercises 6Binomial formulas10 exercises 7Factoring10 exercises 8Inequalities10 exercises 9The coordinate system10 exercises 10Linear functions10 exercises 11Systems of linear equations10 exercises 12Quadratic functions10 exercises 13Quadratic equations10 exercises 14Rearranging formulas10 exercises 15Fraction equations10 exercises 16Polynomial division10 exercises

Trigonometry

6 topics · 60 exercises

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1Sine, cosine, tangent10 exercises 2Solving triangles10 exercises 3Unit circle10 exercises 4Sine & cosine rules10 exercises 5Trig graphs10 exercises 6Radians10 exercises

Functions in depth

12 topics · 120 exercises

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1Vertex form of a parabola10 exercises 2The quadratic formula10 exercises 3Transforming functions10 exercises 4Power functions10 exercises 5Polynomial functions10 exercises 6Exponential functions10 exercises 7Logarithms10 exercises 8Exponential equations10 exercises 9Inverse functions10 exercises 10Hyperbola & reciprocal function10 exercises 11Rational functions10 exercises 12Growth & decay10 exercises

Calculus: first steps

12 topics · 120 exercises

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1Number sequences10 exercises 2Sums & series10 exercises 3Limits, intuitively10 exercises 4Average rate of change10 exercises 5Intro to derivatives10 exercises 6Integral: area under the graph10 exercises 7Rules of differentiation10 exercises 8Product & chain rule10 exercises 9Finding the tangent10 exercises 10Maxima & minima10 exercises 11Inflection points & curvature10 exercises 12Investigating functions10 exercises

Data & chance

15 topics · 150 exercises

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1Data & the mean10 exercises 2Median & mode10 exercises 3Box plots & range10 exercises 4Reading charts10 exercises 5Counting & combining10 exercises 6Tree diagram10 exercises 7Probability10 exercises 8Multi-step probability10 exercises 9Expected value10 exercises 10Spread & standard deviation10 exercises 11Scatter plots & correlation10 exercises 12Conditional probability10 exercises 13Bayes' theorem10 exercises 14The binomial distribution10 exercises 15The normal distribution10 exercises

Logic & sets

4 topics · 40 exercises

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1Sets10 exercises 2Venn diagrams10 exercises 3Logical statements10 exercises 4Proofs10 exercises