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Simultaneous equations GCSE revision guide
Revision guides outlining the different methods to solve simultaneous equations. Foundation and Higher versions available for free download. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Graphical solution of simultaneous equations
Elimination method
Elimination method by adding
Forming and solving simultaneous equations
Simultaneous equations where both begin with y =
Quadratic simultaneous equations (Higher only)
Lines meeting curves and circles (Higher only)
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Inequalities GCSE revision guide
Revision guide outlining all you need to know about inequalities. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Inequalities on a number line
Double inequalities
Solving linear inequalities
Integer solutions
Set notation (Higher only)
Inequalities and regions (Higher only)
Quadratic inequalities (Higher only)
Questions
Click the link below to get more free revision guides.
https://flowmathematics.co.uk/revision-guides/
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Ratio revision guide for GCSE
Revision guide outlining all you need to know about ratio. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Ratios and fractions
Simplifying ratios
Sharing in a ratio
Map scale
Converting units of area
Converting units of volume
Combining ratios
Probabilities and ratios
Questions to practise
Click the link below to get more free revision guides. We won’t ask for your email or anything like that :)
https://flowmathematics.co.uk/revision-guides/
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Expanding single brackets
Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Expanding brackets where there is a number outside
Expanding brackets where there is a letter outside
Expanding brackets where there are letters and numbers outside
Expanding and simplifying
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12827443
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
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2D shapes revision guide for GCSE
Revision guide outlining all you need to know about shapes. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Parallelograms
Triangles
Trapeziums
Compound shapes
Circles
Sectors
Click the link below to get more free revision guides. We won’t ask for your email or anything like that :)
https://flowmathematics.co.uk/revision-guides/
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Simultaneous equations by substitution
Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Simultaneous equations where one equation must be substituted into the other
Questions where one equation must be rearranged before substituting
Simultaneous equations which must be solved by putting them equal to one another
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829844
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Sequences GCSE revision guide
Revision guides outlining the different sequences questions. Foundation and Higher versions available for free download. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Linear sequences - nth term
Decreasing linear sequences
Fibonacci sequences
Geometric sequences
Iteration (Higher only)
Quadratic sequences
Quadratic sequences - nth term (Higher only)
Click the link below to get more free revision guides. We won’t ask for your email or anything like that :)
https://flowmathematics.co.uk/revision-guides/
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Quadratic equations GCSE revision guide
Revision guide outlining all you need to know about quadratic equations up to grade 5. Good for Foundation and Higher students. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Expanding double brackets
Factorising quadratics
Difference of two squares
Solving quadratics by factorising
Sketching quadratic graphs without a table
Finding turning points of quadratic graphs (not by completing the square)
Using graphs to estimate solutions
Also get your higher quadratic equations revision guide following the link below.
https://www.tes.com/teaching-resource/higher-quadratics-gcse-revision-guide-12208545
Including:
Quadratic formula
Harder quadratics
Difference of two squares
Solving harder quadratic equations
Quadratic graphs
Quadratic inequalities
Transformations of quadratic graphs
Completing the square
Quadratic simultaneous equations
Click the link below to get more free revision guides. We won’t ask for your email or anything like that :)
https://flowmathematics.co.uk/revision-guides/
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Simultaneous equations GCSE revision guide
Revision guides outlining the different methods to solve simultaneous equations. Foundation and Higher versions available for free download. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Graphical solution of simultaneous equations
Elimination method
Elimination method by adding
Forming and solving simultaneous equations
Simultaneous equations where both begin with y =
Quadratic simultaneous equations (Higher only)
Lines meeting curves and circles (Higher only)
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Solving equations GCSE revision guide
Revision guide outlining all the basic types of equation. Suitable for Edexcel, AQA and OCR exam boards. Includes:
One step equations
Two or more step equations
Equations involving powers
Unknowns on both sides
Forming and solving equations
Note: Doesn’t include quadratics equation or simultaneous equations. These will be covered in other revision guides coming soon.
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Solving equations: Unknown on both sides
Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Intro examples where only letters need to be moved - e.g., 4x = 2x + 18
Medium examples where letters and numbers need to be moved - e.g., 3x + 1 = 7x - 5
Harder examples involving tricky negatives or fractions on either side - e.g., 5 - 2x = (5 - 3x)/4
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829880
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Solving equations with powers worksheet
Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Solving equations where x^2 must first be found and then square rooted - e.g., 3x^2 = 75
Harder examples involving fractions, brackets and cubes - e.g., 4/5x^3 = 100
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829882
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Higher trigonometry GCSE revision guide
Revision guide outlining everything students need to know about advanced trigonometry for the higher paper. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Sine rule to find angles
Sine rule to find sides
Cosine rule to find sides
Cosine rule to find angles
Area of a triangle using sine
Trigonometric graphs
3D Pythagoras and trigonometry
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Percentages revision guide
Free 11 page revision guide outlining everything students need to know about percentages, with detailed examples and clear annotations. Includes:
Number as a percentage of another (calculator and non-calculator methods)
Percentages of amounts (multiplier and non-multiplier methods)
Percentage increase and decrease (multiplier and non-multiplier methods)
Interest and depreciation
Reverse percentages (calculator and non-calculator methods)
Exam style questions where you test with 100.
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Indices revision guide: Higher paper
Download your free indices revision guide. High quality PDF showing all you need to know about indices for your Higher GCSE exam. Includes:
Index notation
Multiplication index law
Powers of powers law
Division index law
Negative index law
Simple fractional indices
Harder fractional indices (including combining them with negative indices)
Fractional indices and surds
Solving equations - finding the powers
Revision guide for Foundation students can be found here.
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Indices revision guide: Foundation paper
Click to download your free indices revision guide. High quality PDF showing all you need to know about indices for your Foundation GCSE exam.
Includes:
Index notation
Multiplication index law
Powers of powers index law
Division index law
Negative indices
Lots of examples, including powers of 1 and 0.
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Angles revision guide for GCSE Maths
Click to download your free angles revision guide. High quality PDF showing all you need to know about angles for your GCSE exam.
Includes:
Angles in half turns (or straight lines)
Angles in full turns (or around a point)
Vertically opposite angles
Angles in triangles
Angles in parallel lines
Angles in quadrilaterals
Angles in polygons
Interior angles of regular polygons
Exterior angles of polygons
Naming angles
Note: Does not include circle theorems. This will be the subject of another post :)
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Solving one step equations worksheet
Great for homework. Questions in increasing difficulty. Worksheet on solving one-step equations involving addition, subtraction, multiplication, division, fractions, negatives and decimals.
Click here to download the answers.
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Or on Pinterest for quick summaries of key maths ideas.
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Volume of a sphere worksheet
Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Finding the volume and surface area of a sphere
Finding the volume and surface area of hemispheres
Working backwards from the volume or surface area to find missing dimensions
Challenge questions involving compound shapes with spheres and finding the volumes of spheres/hemispheres from the surface area (and vice versa)
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829910
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Solving equations: finding the powers
Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Using the index laws to solve equations where the power is unknown
Worked example showing the method
Challenge questions where the multiplication law must also be used
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829877
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.