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Below you will find our collection of revision notes and video tutorials. For the best revision experience, use both the notes and the videos at the same time to help you follow along. All resources are updated for the latest 9-1 Maths specification.

## Revision Resources

## General

- 1. Basic Number
- 2. Fractions, Ratio and Proportion
- 3. Statistical Representation
- 4. Number and Sequences
- 5. Ratio and Proportion
- 6. Angles
- 7. Transformations
- 8. Algebraic Manipulation
- 9. Length, Area and Volume
- 10. Linear Graphs
- 11. Triangles
- 12. Probability
- 13. Powers and Standard Form
- 14. Equations and Inequalities
- 15. Counting, Accuracy, Powers and Surds
- 16. Quadratic Equations
- 17. Sampling and More Complex Diagrams
- 18. Properties of Circles
- 19. Trigonometry
- 20. Graphs
- 21. Algebraic Fractions and Functions
- 22. Vector Geometry
- Maths E-Book by Craig Barton

### Revision Notes

### Revision Notes

## Practice Questions

Questions and solutions by MathsGenie

### Grade 1/2

- Addition and subtraction | Solutions
- Multiplication and division | Solutions
- Powers and square roots | Solutions
- Factors, decimals and percentages | Solutions
- Fractions of an amount | Solutions
- Fractions, decimals and percentages | Solutions
- Negative numbers | Solutions
- BIDMAS | Solutions
- Collecting like terms | Solutions
- Angles | Solutions
- Perimeter, area and volume | Solutions
- Mean, median, mode and range | Solutions
- Frequency polygons | Solutions
- Stem and leaf | Solutions
- Bar charts | Solutions
- Pie charts | Solutions

### Grade 3

- Error intervals | Solutions
- Fractions | Solutions
- Ratio | Solutions
- Proportion ingredients | Solutions
- Percentages | Solutions
- Exchange rates | Solutions
- Best buys | Solutions
- Substitution | Solutions
- Solving equations | Solutions
- Drawing graphs | Solutions
- Circles | Solutions
- Transformations - Rotations | Solutions
- Transformations - Reflections | Solutions
- Transformations - Enlargements | Solutions
- Transformations - Translations | Solutions
- Transformations - Mixed transformations | Solutions
- Area of compound shapes | Solutions
- Probability | Solutions
- Two way tables | Solutions

### Grade 4

- Compound interest and depreciation | Solutions
- Indices | Solutions
- HCF, LCM | Solutions
- Functional questions | Solutions
- Inequalities | Solutions
- Forming and solving equations | Solutions
- Sequences (nth term) | Solutions
- Expand and factorise | Solutions
- Pythagorus | Solutions
- Angles | Solutions
- Angles in parallel lines | Solutions
- Angles in polygons | Solutions
- Surface area | Solutions
- Volumes of prisms | Solutions
- Volume and surface area of cylinders | Solutions
- Loci and construction | Solutions
- Bearings | Solutions
- Averages from frequency tables | Solutions
- Probability | Solutions
- Scatter graphs | Solutions

### Grade 5

- Ratio fraction problems | Solutions
- Ratio fraction problems 2 | Solutions
- Direct and inverse proportion | Solutions
- Reverse percentages | Solutions
- Standard form | Solutions
- Speed and density | Solutions
- Changing the subject of a formula | Solutions
- Expanding and factorising quadratics | Solutions
- Solving quadratics | Solutions
- Drawing quadratic graphs | Solutions
- Cubic/reciprocal graphs | Solutions
- Simultaneous equations | Solutions
- Simultaneous equations graphically | Solutions
- Gradient of a line | Solutions
- Equation of a line | Solutions
- Spheres and cones | Solutions
- Sectors and arcs | Solutions
- Similar shapes (lengths) | Solutions
- SOHCAHTOA | Solutions
- Vectors | Solutions
- Probability trees | Solutions
- Venn diagrams | Solutions

### Grade 6

- Recurring decimals to fractions | Solutions
- Fractional and negative indices | Solutions
- The product rule for counting | Solutions
- Repeated percentage change | Solutions
- Expanding triple brackets | Solutions
- Parallel and perpendicular lines | Solutions
- Inequalities on graphs | Solutions
- Similar shapes (area and volume) | Solutions
- Enlarging with negative scale factors | Solutions
- Circle theorems | Solutions
- Cumulative frequency | Solutions
- Box plots | Solutions

### Grade 7

- Surds | Solutions
- Bounds | Solutions
- Direct and inverse proportion | Solutions
- Quadratic formula | Solutions
- Factorising harder quadratics | Solutions
- Algebraic fractions | Solutions
- Rearranging harder formulae | Solutions
- Trigonometry and exponential graphs | Solutions
- Inverse and composite functions | Solutions
- Solving equations using iteration | Solutions
- Finding the area of any triangle | Solutions
- The sine rule | Solutions
- The cosine rule | Solutions
- Congruent triangles | Solutions
- 3D pythagoras | Solutions
- Histograms | Solutions
- Venn diagrams | Solutions

### Grade 8/9

- Quadratic simultaneous equations | Solutions
- Transforming graphs | Solutions
- Proof | Solutions
- Completing the square | Solutions
- Quadratic sequences | Solutions
- Quadratic inequalities | Solutions
- Velocity time graphs | Solutions
- Proof of the circle theorems | Solutions
- Perpendicular lines | Solutions
- Vectors | Solutions
- Probability equations | Solutions

## Video Tutorials

## General

## Topic: Numbers

### Standard form

## Topic: Algebra

### Identity or Equation

### Expanding Brackets

### Solving Linear Equations

- Terms in expressions and equations | Summary
- Linear equations with a positive x-term | Summary
- Linear equations with a negative x-term | Summary
- Linear equations with two x-terms | Summary
- Linear equations with brackets | Summary
- Fractional linear equations 1
- Fractional linear equations 2
- Fractional linear equations 3
- Fractional linear equations 4
- Fractional linear equations 5

### Indices

- Introduction
- Multiplication
- Division
- Negative indices
- Fractions with negative indices
- Rational indices
- Simplifying negative powers
- Expressions terms in the form ax
^{n} - Equation types
- Summary

### Surds

### Working with Functions

- f(x) notation
- Combination of functions | Example 1 | Example 2
- The inverse of a function | Example 1 | Example 2 | Example 3

### Factorising

- Introduction
- HCF types
- Grouping types
- Quadratic expressions
- HCF types
- Difference of two square types
- Trinomials by grouping
- Trinomials by inspection 1 | 2 | 3 | 4 | 5 | 6 | 7
- Misc exercise 1 | 2 | 3

### Completing the Square

- Completing the square for x
^{2}terms - Completing the square for 2x
^{2}, 3x^{2}, ... terms - Completing the square for negative terms
- Sketching positive graphs
- Sketching negative graphs

### Simultaneous Equations

### Quadratic Equations

### Gradient of Straight Lines

### Straight Lines

- Equation of a line in the form y=mx + c
- Equation of a line in the form y - y
_{1}=m(x - x_{1}) - Distance between two points
- Mid-point of a line segment
- Equation of a parallel line
- Equation of a perpendicular bisector

### Intersection of Graphs

### Sketching Curves

### Inequalities

### Graph Transformations

- Baisc graphs used in transformations
- Translations
- Reflections

### Circles

### Rational Expressions

- Simplifying algebraic fractions
- Addition and subtraction of algebraic fractions 1
- Addition and subtraction of algebraic fractions 2
- Multiplication of algebraic fractions
- Simplifying "stacked" fractions

### Working with Sequences and Series

### Iteration

## Topic: Ratios, Proportion and Rate of Change

### Percentages

- What is a percentage?
- Finding a percentage of a quantity
- Converting a fraction to a percentage
- Calculating a percentage change
- Increasing / decreasing a quantity by a percentage

## Topic: Geometry and Mesaures

### Area and arc length

### Pythagoras’ Theorem

### Trigonometry - Right Angled Triangles

- Introduction to trigonometry
- Sine, cosine and tan
- Finding the length of a side
- Finding an angle

### Trigonometric ratios

### Trigonometry - Non Right Angled Triangles

- Area of a triangle - given two sides and an included angle
- Sine Rule
- Finding the length of a side of a non-right triangle
- Finding an angle of a non-right triangle
- The Ambiguous Case
- Cosine Rule
- Sine and cosine rules applied to bearings

### Trigonometry - Graphs

- Trigonometric graphs
- Translation parallel to the y-axis: y=f(x) + a
- Translation parallel to the x-axis: y=f(x - a)
- Reflection in the x-axis: y=-f(x)
- Reflection in the y-axis: y=f(-x)

### Vectors

- What is a vector and a scalar quantity?
- Vector notation
- Position vectors
- Equal and negative vectors
- Multiplying a vector by a scalar
- Addition and subtraction
- Magnitude of a vector
- Distance between two points

## Topic: Probability

### Probability Space Diagrams

### Tree Diagrams

- How to draw tree diagrams
- Probability tree diagrams and independant events
- Combining probabilities - mutually exclusive events
- Dependent events
- Dependent events - example

### Venn Diagrams

- Sets
- Types of set
- Intersection, union, and complement
- Venn diagrams
- Algebraic type
- Notation and symbols used in Venn diagrams
- Shading regions

## Topic: Statistics

### Mean

- Mean for discrete data
- Calculating the mean from frequency tables
- Casio fx calculators: mean from frequency table