Number

1. Number Language

1.1 Factors, Multiples, Primes, etc.
1.2 Square and cube roots
1.3 Directed numbers

2. Accuracy

2.1 Rounding whole numbers
2.2 Decimal places
2.3 Significant figures
2.4 Upper and lower bounds

3. Calculations

3.1 Ordering
3.2 Order of operations

4. Fractions and decimals

4.1 Introducing some language
4.2 Equivalent and simplifying fractions
4.3 Fraction of an amount
4.4 Improper fractions and mixed numbers
4.5 Fractions and decimals
4.6 Adding and subtracting with fractions
4.7 Multiplication and division of fractions

5. Percentages

5.1 Percentages, fractions and decimals
5.2 Calculating the percentage of a quantity
5.3 Expressing one quantity as a percentage of another
5.4 Percentage increase and decrease
5.5 Reverse percentages

6. Ratio and proportion

6.1 Dividing a quantity in a ratio
6.2 Direct and inverse proportion

7. Indices and standard form

7.1 Indices
7.2 Fractional and negative indices
7.3 Exponential equations
7.4 Standard form

8. Interest

8.1 Simple interest
8.2 Compound interest

9. Venn diagrams

9.1 What are Venn diagrams

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Algebra and graphs

1. Algebraic representation and manipulation

1.1 Introducing the essential language
1.2 How to Simplify Algebraic Expressions
1.3 How to Expand Algebraic Expressions
1.4 How to Factorise Algebraic Expressions
1.5 How to Evaluate Expressions by Substitution
1.6 How to Change the Subject of an Equation
1.7 How to Combine and Simplify Algebraic Fractions

2. Algebraic indices

2.1 Three laws of the indices
2.2 Zero index
2.3 Negative indices
2.4 Fractional indices
2.5 Exponential equations

3. Equations and inequalities

3.1 Solving linear equations
3.2 Constructing equations
3.3 Simultaneous equations
3.4 Solving inequalities
3.5 Solving quadratic equations
3.6 How to solve Exponential Equations

4. Linear programming

4.1 Graphing inequalities
4.2 Linear programming

5. Sequences

5.1 Finding the nth term rule

6. Variation

6.1 Direct variation
6.2 Inverse variation

7. Graphs in practical situations

7.1 Conversion graphs
7.2 Speed, distance and time
7.3 Distant-time graphs
7.4 Speed-time graphs
7.5 Acceleration and deceleration
7.6 Area under speed-time graph

8. Graphs of functions

8.1 Quadratic functions
8.2 Graphical solution of a quadratic equation
8.3 The reciprocal function
8.4 How to graph a Linear Function
8.5 How to graph Cubic and Exponential Functions
8.6 Gradients of curves
8.7 Solving equations graphically

9. Functions

9.1 Evaluating functions
9.2 Inverse functions
9.3 Composite functions

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Geometry

1. Geometrical vocabulary

1.1 Geometrical vocabulary

2. Construction and scale drawing

2.1 Constructing polygons
2.2 Constructing bisectors
2.3 Scale drawing

3. Similarity

3.1 Similarity involving length
3.2 Similarity involving area and volume

4. Symmetry

4.1 Lines of, planes of and rotational symmetry

5. Angle properties

5.1 Basic angle properties
5.2 Sum of the interior/exterior angles
5.3 Circle properties

6. Loci

6.1 Loci

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Everywhere!

Examples of maths are all around us every single day of our lives. Can you identify the maths in the following images?

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Most Popular Pages

Sine and Cosine Rule
Further Probability
Equivalent and Simplifying Fractions
Pythagoras' Theorem

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Mensuration

1. Measures

1.1 Converting units
1.2 Converting units involving area and volume

2. Perimeter, area and volume

2.1 Perimeter
2.2 Area of polygons
2.3 Surface area
2.4 Area and circumference of circles
2.5 Arc length and area of sector
2.6 Volume of prisms
2.7 Volume and surface area of a sphere, pyramid and cone

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Coordinate geometry

1. Straight-line graphs

1.1 Cartesian coordinate system
1.2 Gradient of a line
1.3 Equation of a line
1.4 Horizontal and vertical lines
1.5 Parallel lines and their equations
1.6 Drawing straight-line graphs
1.7 Solving simultaneous equations graphically
1.8 Calculating length of a line segment
1.9 Midpoint of a line segment
1.10 Perpendicular lines

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Trigonometry

1. Trigonometry

1. Pythagoras' theorem
2. Basic trigonometry
3. Trigonometry and word problems
4. 3-D trigonometry
5. Sine and Cosine rule
6. Area of any triangle
7. Bearings
8. Angles of elevation and depression

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Vectors, matrices and transformations

1. Vectors

1.1 Translations
1.2 Addition and subtraction of vectors
1.3 Multiplying a vector by a scalar
1.4 Magnitude of a vector
1.5 Position vectors
1.6 Vector geometry

2. Matrices

2.1 Introducing matrices
2.2 Addition and subtraction of matrices
2.3 Multiplying matrices by a scalar
2.4 Multiplying a matrix by another matrix
2.5 The identity and zero matrix
2.6 The determinant and inverse of a matrix

3. Transformations

3.1 Reflection
3.2 Rotation
3.3 Translation
3.4 Enlargement
3.5 Combinations of transformations
3.6 Transformations and matrices
3.7 Shear
3.8 Stretch

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Probablility

1. Probability

1. Basic probability
2. Further probability

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Statistics

1. Mean, mode, median and range

1.1 Mean, mode, median and range
1.2 Mean for grouped data

2. Collecting and displaying data

2.1 Pictograms
2.2 Tally charts and frequency tables
2.3 Grouped frequency tables
2.4 Pie charts
2.5 Scatter diagrams and correlation
2.6 Histograms

3. Cumulative frequency

3.1 Introducing cumulative frequency
3.2 Quartiles and the inter-quartile range