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Mathematics Topic Library

Search all 305 topics across early years, school mathematics, exam preparation, university mathematics and everyday numeracy.

Ages 3-5

Early Years · Counting & Number Sense

6 topics
Counting 0-20
Definitions, rules, worked examples, common mistakes, practice and answers.
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Recognising numerals
Definitions, rules, worked examples, common mistakes, practice and answers.
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One-to-one correspondence
Definitions, rules, worked examples, common mistakes, practice and answers.
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Comparing more and less
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ordering numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Subitising small quantities
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 3-5

Early Years · Early Operations

6 topics
Joining groups (addition)
Definitions, rules, worked examples, common mistakes, practice and answers.
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Taking away (subtraction)
Definitions, rules, worked examples, common mistakes, practice and answers.
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Number bonds to 5
Definitions, rules, worked examples, common mistakes, practice and answers.
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Number bonds to 10
Definitions, rules, worked examples, common mistakes, practice and answers.
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Doubling small numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Sharing equally
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 3-5

Early Years · Shapes & Space

6 topics
2D shapes
Definitions, rules, worked examples, common mistakes, practice and answers.
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3D shapes
Definitions, rules, worked examples, common mistakes, practice and answers.
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Patterns
Definitions, rules, worked examples, common mistakes, practice and answers.
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Positions and directions
Definitions, rules, worked examples, common mistakes, practice and answers.
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Symmetry
Definitions, rules, worked examples, common mistakes, practice and answers.
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Sorting and matching
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 3-5

Early Years · Measurement

6 topics
Long and short
Definitions, rules, worked examples, common mistakes, practice and answers.
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Heavy and light
Definitions, rules, worked examples, common mistakes, practice and answers.
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Full and empty
Definitions, rules, worked examples, common mistakes, practice and answers.
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Time of day
Definitions, rules, worked examples, common mistakes, practice and answers.
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Days of the week
Definitions, rules, worked examples, common mistakes, practice and answers.
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Money awareness
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 5-7

Primary Foundations · Number & Place Value

6 topics
Numbers to 100
Definitions, rules, worked examples, common mistakes, practice and answers.
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Place value tens and ones
Definitions, rules, worked examples, common mistakes, practice and answers.
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Comparing and ordering
Definitions, rules, worked examples, common mistakes, practice and answers.
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Odd and even numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Counting in 2s, 5s and 10s
Definitions, rules, worked examples, common mistakes, practice and answers.
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Number lines
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 5-7

Primary Foundations · Addition & Subtraction

6 topics
Addition facts to 20
Definitions, rules, worked examples, common mistakes, practice and answers.
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Subtraction facts to 20
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Adding two-digit numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Subtracting two-digit numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Missing number problems
Definitions, rules, worked examples, common mistakes, practice and answers.
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Word problems
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 5-7

Primary Foundations · Multiplication & Division

6 topics
Equal groups
Definitions, rules, worked examples, common mistakes, practice and answers.
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Repeated addition
Definitions, rules, worked examples, common mistakes, practice and answers.
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2, 5 and 10 times tables
Definitions, rules, worked examples, common mistakes, practice and answers.
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Sharing and grouping
Definitions, rules, worked examples, common mistakes, practice and answers.
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Arrays
Definitions, rules, worked examples, common mistakes, practice and answers.
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Simple remainders
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 5-7

Primary Foundations · Fractions

6 topics
Halves
Definitions, rules, worked examples, common mistakes, practice and answers.
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Quarters
Definitions, rules, worked examples, common mistakes, practice and answers.
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Thirds
Definitions, rules, worked examples, common mistakes, practice and answers.
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Fractions of shapes
Definitions, rules, worked examples, common mistakes, practice and answers.
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Fractions of quantities
Definitions, rules, worked examples, common mistakes, practice and answers.
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Equivalent visual fractions
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 5-7

Primary Foundations · Geometry & Measurement

6 topics
2D and 3D properties
Definitions, rules, worked examples, common mistakes, practice and answers.
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Length and height
Definitions, rules, worked examples, common mistakes, practice and answers.
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Mass and capacity
Definitions, rules, worked examples, common mistakes, practice and answers.
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Time to 5 minutes
Definitions, rules, worked examples, common mistakes, practice and answers.
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Money and change
Definitions, rules, worked examples, common mistakes, practice and answers.
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Turns and right angles
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 5-7

Primary Foundations · Data

5 topics
Tally charts
Definitions, rules, worked examples, common mistakes, practice and answers.
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Pictograms
Definitions, rules, worked examples, common mistakes, practice and answers.
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Block graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Simple tables
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ask and answer data questions
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 8-10

Primary Mastery · Number & Place Value

6 topics
Numbers to 1,000,000
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Rounding
Definitions, rules, worked examples, common mistakes, practice and answers.
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Negative numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Roman numerals
Definitions, rules, worked examples, common mistakes, practice and answers.
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Factors and multiples
Definitions, rules, worked examples, common mistakes, practice and answers.
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Prime numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 8-10

Primary Mastery · Four Operations

6 topics
Column addition
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Column subtraction
Definitions, rules, worked examples, common mistakes, practice and answers.
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Long multiplication
Definitions, rules, worked examples, common mistakes, practice and answers.
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Short division
Definitions, rules, worked examples, common mistakes, practice and answers.
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Order of operations
Definitions, rules, worked examples, common mistakes, practice and answers.
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Multi-step word problems
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 8-10

Primary Mastery · Fractions Decimals Percentages

6 topics
Equivalent fractions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Adding and subtracting fractions
Definitions, rules, worked examples, common mistakes, practice and answers.
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Multiplying fractions by whole numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Decimals to thousandths
Definitions, rules, worked examples, common mistakes, practice and answers.
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Percentages
Definitions, rules, worked examples, common mistakes, practice and answers.
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Fraction-decimal-percent conversion
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 8-10

Primary Mastery · Ratio & Proportion

5 topics
Scaling
Definitions, rules, worked examples, common mistakes, practice and answers.
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Unitary method
Definitions, rules, worked examples, common mistakes, practice and answers.
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Simple ratios
Definitions, rules, worked examples, common mistakes, practice and answers.
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Recipes and maps
Definitions, rules, worked examples, common mistakes, practice and answers.
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Direct proportion
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 8-10

Primary Mastery · Geometry

6 topics
Angles
Definitions, rules, worked examples, common mistakes, practice and answers.
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Triangles and quadrilaterals
Definitions, rules, worked examples, common mistakes, practice and answers.
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Coordinates
Definitions, rules, worked examples, common mistakes, practice and answers.
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Transformations
Definitions, rules, worked examples, common mistakes, practice and answers.
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Perimeter and area
Definitions, rules, worked examples, common mistakes, practice and answers.
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Volume
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 8-10

Primary Mastery · Measurement

6 topics
Metric conversion
Definitions, rules, worked examples, common mistakes, practice and answers.
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Time calculations
Definitions, rules, worked examples, common mistakes, practice and answers.
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Speed basics
Definitions, rules, worked examples, common mistakes, practice and answers.
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Area units
Definitions, rules, worked examples, common mistakes, practice and answers.
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Volume and capacity
Definitions, rules, worked examples, common mistakes, practice and answers.
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Money problems
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 8-10

Primary Mastery · Statistics

6 topics
Tables and line graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Bar charts
Definitions, rules, worked examples, common mistakes, practice and answers.
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Pie charts introduction
Definitions, rules, worked examples, common mistakes, practice and answers.
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Mean
Definitions, rules, worked examples, common mistakes, practice and answers.
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Interpreting data
Definitions, rules, worked examples, common mistakes, practice and answers.
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Probability language
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 11-13

Middle School · Number

6 topics
Integers
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Fractions and mixed numbers
Definitions, rules, worked examples, common mistakes, practice and answers.
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Decimals and percentages
Definitions, rules, worked examples, common mistakes, practice and answers.
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Indices
Definitions, rules, worked examples, common mistakes, practice and answers.
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Standard form
Definitions, rules, worked examples, common mistakes, practice and answers.
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Estimation and bounds
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 11-13

Middle School · Algebra

7 topics
Expressions
Definitions, rules, worked examples, common mistakes, practice and answers.
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Substitution
Definitions, rules, worked examples, common mistakes, practice and answers.
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Expanding brackets
Definitions, rules, worked examples, common mistakes, practice and answers.
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Factorising basics
Definitions, rules, worked examples, common mistakes, practice and answers.
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Linear equations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Sequences
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Coordinates and graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 11-13

Middle School · Ratio & Proportion

6 topics
Ratios
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Rates
Definitions, rules, worked examples, common mistakes, practice and answers.
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Best buys
Definitions, rules, worked examples, common mistakes, practice and answers.
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Direct proportion
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Inverse proportion introduction
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Percentage change
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 11-13

Middle School · Geometry

7 topics
Angle rules
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Polygons
Definitions, rules, worked examples, common mistakes, practice and answers.
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Pythagoras introduction
Definitions, rules, worked examples, common mistakes, practice and answers.
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Congruence
Definitions, rules, worked examples, common mistakes, practice and answers.
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Similarity
Definitions, rules, worked examples, common mistakes, practice and answers.
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Transformations
Definitions, rules, worked examples, common mistakes, practice and answers.
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Constructions and loci
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 11-13

Middle School · Mensuration

6 topics
Perimeter
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Area of compound shapes
Definitions, rules, worked examples, common mistakes, practice and answers.
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Circle measures
Definitions, rules, worked examples, common mistakes, practice and answers.
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Surface area
Definitions, rules, worked examples, common mistakes, practice and answers.
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Volume of prisms
Definitions, rules, worked examples, common mistakes, practice and answers.
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Units and conversions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 11-13

Middle School · Statistics

6 topics
Sampling
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Frequency tables
Definitions, rules, worked examples, common mistakes, practice and answers.
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Averages
Definitions, rules, worked examples, common mistakes, practice and answers.
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Range and spread
Definitions, rules, worked examples, common mistakes, practice and answers.
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Scatter graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Time series
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 11-13

Middle School · Probability

5 topics
Probability scale
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Sample spaces
Definitions, rules, worked examples, common mistakes, practice and answers.
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Mutually exclusive events
Definitions, rules, worked examples, common mistakes, practice and answers.
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Experimental probability
Definitions, rules, worked examples, common mistakes, practice and answers.
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Tree diagrams introduction
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 14-16

Secondary / GCSE / IGCSE · Number

7 topics
Indices and roots
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Standard form
Definitions, rules, worked examples, common mistakes, practice and answers.
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Surds
Definitions, rules, worked examples, common mistakes, practice and answers.
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Bounds
Definitions, rules, worked examples, common mistakes, practice and answers.
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Recurring decimals
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ratio and proportion
Definitions, rules, worked examples, common mistakes, practice and answers.
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Compound measures
Definitions, rules, worked examples, common mistakes, practice and answers.
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Ages 14-16

Secondary / GCSE / IGCSE · Algebra

8 topics
Quadratics
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Simultaneous equations
Definitions, rules, worked examples, common mistakes, practice and answers.
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Inequalities
Definitions, rules, worked examples, common mistakes, practice and answers.
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Functions
Definitions, rules, worked examples, common mistakes, practice and answers.
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Algebraic fractions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Sequences
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Iteration
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Graph transformations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 14-16

Secondary / GCSE / IGCSE · Coordinate Geometry

6 topics
Straight-line graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Gradient and intercept
Definitions, rules, worked examples, common mistakes, practice and answers.
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Parallel and perpendicular lines
Definitions, rules, worked examples, common mistakes, practice and answers.
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Quadratic graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Cubic and reciprocal graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Distance-time and velocity-time graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 14-16

Secondary / GCSE / IGCSE · Geometry

8 topics
Circle theorems
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Similarity and congruence
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Pythagoras
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Trigonometry
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Bearings
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Vectors
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Transformations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Constructions and loci
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 14-16

Secondary / GCSE / IGCSE · Mensuration

5 topics
Arc length and sector area
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Surface area
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Volume
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Spheres cones and pyramids
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Similarity of area and volume
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 14-16

Secondary / GCSE / IGCSE · Statistics

6 topics
Histograms
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Cumulative frequency
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Box plots
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Scatter graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Averages from grouped data
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Sampling
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 14-16

Secondary / GCSE / IGCSE · Probability

5 topics
Tree diagrams
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Venn diagrams
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Conditional probability
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Independent events
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Combined events
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 16-18

Advanced / A-Level · Pure Algebra

6 topics
Proof
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Algebraic manipulation
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Polynomials
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Partial fractions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Binomial expansion
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Sequences and series
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 16-18

Advanced / A-Level · Functions & Graphs

5 topics
Functions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Composite and inverse functions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Modulus
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Graph transformations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Parametric equations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 16-18

Advanced / A-Level · Trigonometry

5 topics
Radians
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Trig identities
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Trig equations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Small-angle approximations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Inverse trig functions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 16-18

Advanced / A-Level · Calculus

6 topics
Differentiation
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Applications of derivatives
Definitions, rules, worked examples, common mistakes, practice and answers.
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Integration
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Integration techniques
Definitions, rules, worked examples, common mistakes, practice and answers.
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Differential equations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Numerical methods
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 16-18

Advanced / A-Level · Exponentials & Logarithms

4 topics
Exponential models
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Laws of logarithms
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Solving exponential equations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Growth and decay
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 16-18

Advanced / A-Level · Vectors

4 topics
2D vectors
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
3D vectors
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Lines in vector form
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Scalar product
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 16-18

Advanced / A-Level · Statistics

6 topics
Data representation
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Probability distributions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Binomial distribution
Definitions, rules, worked examples, common mistakes, practice and answers.
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Normal distribution
Definitions, rules, worked examples, common mistakes, practice and answers.
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Hypothesis testing
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Correlation and regression
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ages 16-18

Advanced / A-Level · Mechanics

6 topics
Kinematics
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Forces and Newton laws
Definitions, rules, worked examples, common mistakes, practice and answers.
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Moments
Definitions, rules, worked examples, common mistakes, practice and answers.
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Projectiles
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Work energy and power
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Momentum
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
18+ / Undergraduate

University Mathematics · Calculus

6 topics
Limits and continuity
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Single-variable differentiation
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Single-variable integration
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Multivariable calculus
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Vector calculus
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Series and convergence
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
18+ / Undergraduate

University Mathematics · Linear Algebra

6 topics
Systems of equations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Matrices
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Determinants
Definitions, rules, worked examples, common mistakes, practice and answers.
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Vector spaces
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Eigenvalues and eigenvectors
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Orthogonality
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
18+ / Undergraduate

University Mathematics · Discrete Mathematics

6 topics
Logic
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Sets and relations
Definitions, rules, worked examples, common mistakes, practice and answers.
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Combinatorics
Definitions, rules, worked examples, common mistakes, practice and answers.
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Graph theory
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Recurrence relations
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Boolean algebra
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
18+ / Undergraduate

University Mathematics · Probability

6 topics
Random variables
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Discrete distributions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Continuous distributions
Definitions, rules, worked examples, common mistakes, practice and answers.
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Expectation and variance
Definitions, rules, worked examples, common mistakes, practice and answers.
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Joint distributions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Bayes theorem
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
18+ / Undergraduate

University Mathematics · Statistics

6 topics
Estimation
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Confidence intervals
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Hypothesis testing
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
ANOVA introduction
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Linear regression
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Non-parametric methods
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
18+ / Undergraduate

University Mathematics · Differential Equations

5 topics
First-order ODEs
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Second-order ODEs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Systems of ODEs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Laplace transforms
Definitions, rules, worked examples, common mistakes, practice and answers.
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Numerical solutions
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
18+ / Undergraduate

University Mathematics · Complex Numbers

5 topics
Complex plane
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Polar form
Definitions, rules, worked examples, common mistakes, practice and answers.
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De Moivre theorem
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Roots
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Complex functions introduction
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
18+ / Undergraduate

University Mathematics · Numerical Methods

5 topics
Root finding
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Interpolation
Definitions, rules, worked examples, common mistakes, practice and answers.
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Numerical differentiation
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Numerical integration
Definitions, rules, worked examples, common mistakes, practice and answers.
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Error analysis
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
All adult learners

Everyday & Adult Maths · Essential Numeracy

6 topics
Place value
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Mental arithmetic
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Fractions decimals percentages
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Ratios
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Estimation
Definitions, rules, worked examples, common mistakes, practice and answers.
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Calculator skills
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
All adult learners

Everyday & Adult Maths · Money & Finance

6 topics
Budgeting
Definitions, rules, worked examples, common mistakes, practice and answers.
Open lesson
Discounts and tax
Definitions, rules, worked examples, common mistakes, practice and answers.
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Simple interest
Definitions, rules, worked examples, common mistakes, practice and answers.
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Compound interest
Definitions, rules, worked examples, common mistakes, practice and answers.
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Loans and repayments
Definitions, rules, worked examples, common mistakes, practice and answers.
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Savings and inflation
Definitions, rules, worked examples, common mistakes, practice and answers.
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Everyday & Adult Maths · Workplace Maths

6 topics
Rates
Definitions, rules, worked examples, common mistakes, practice and answers.
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Unit conversion
Definitions, rules, worked examples, common mistakes, practice and answers.
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Reading tables
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Spreadsheets
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Percent change
Definitions, rules, worked examples, common mistakes, practice and answers.
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Productivity calculations
Definitions, rules, worked examples, common mistakes, practice and answers.
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Everyday & Adult Maths · Home & Life

6 topics
Recipes
Definitions, rules, worked examples, common mistakes, practice and answers.
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Area and decorating
Definitions, rules, worked examples, common mistakes, practice and answers.
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Volume and capacity
Definitions, rules, worked examples, common mistakes, practice and answers.
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Travel time
Definitions, rules, worked examples, common mistakes, practice and answers.
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Fuel economy
Definitions, rules, worked examples, common mistakes, practice and answers.
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Utility bills
Definitions, rules, worked examples, common mistakes, practice and answers.
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Everyday & Adult Maths · Data Literacy

6 topics
Charts and graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Averages
Definitions, rules, worked examples, common mistakes, practice and answers.
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Percentages in news
Definitions, rules, worked examples, common mistakes, practice and answers.
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Risk and probability
Definitions, rules, worked examples, common mistakes, practice and answers.
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Misleading graphs
Definitions, rules, worked examples, common mistakes, practice and answers.
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Basic statistical reasoning
Definitions, rules, worked examples, common mistakes, practice and answers.
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