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GCSE Maths marks improve 10-15%
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Step-by-Step Solutions

Clear video explanations for every GCSE Maths concept

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Aligned with your GCSE exam board specifications

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Most students improve one letter grade in 4-6 weeks

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GCSE Maths Topics

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video
Numbers and Relations
Place value
Comparing and ordering numbers
Rounding numbers
video
Adding and Subtracting Integers
Introduction to integer addition
Adding integers
Introduction to integer subtraction
Subtracting integers
Application of integer operations
video
Multiplying and Dividing Integers
Understanding integer multiplication
Multiplying integers
Understanding integer division
Dividing integers
Applications of integer operations
video
Operations with decimals
Adding and subtracting decimals
Multiplying decimals
Dividing decimals
Order of operations (BIDMAS)
video
Adding and Subtracting Fractions
Using models to add and subtract fractions
Adding fractions with like denominators
Subtracting fractions with like denominators
Adding and subtracting fractions with unlike denominators
Adding and subtracting mixed numbers
video
Multiplying and Dividing Fractions
Multiplying fractions and whole numbers
Dividing fractions with whole numbers
Multiplying proper fractions
Multiplying improper fractions and mixed numbers
Dividing fractions and mixed numbers
Applications of fraction operations
video
Percents
Representing percents
Percents, fractions, and decimals
Percent of a number
Adding and multiplying percents
Taxes, discounts, tips and more
Simple interest
video
Ratios, Rates, and Proportions
Ratios
Rates
Proportions
video
Pythagorean Theorem
Pythagorean theorem
Estimating square roots
Using the pythagorean relationship
Applications of pythagorean theorem
video
Scale Factors and Similarity
Enlargements and reductions with scale factors
Scale diagrams
Similar triangles
Similar polygons
video
Solving Linear Equations
Solving linear equations using multiplication and division
Solving two-step linear equations: ax + b = c, x/a + b = c
Solving linear equations using distributive property: a(x + b) = c
Solving linear equations with variables on both sides
Solving literal equations
video
Measuring Systems
Metric systems
Imperial systems
Conversions between metric and imperial systems
Conversions involve squares and cubic
Upper and lower bound
video
Number System
Understanding the number systems
Prime factorization
Greatest Common Factors (GCF)
Least Common Multiple (LCM)
Rational vs. Irrational numbers
Converting repeating decimals to fractions
video
Surds
Operations with surds
Conversion between entire surds and mixed surds
Adding and subtracting surds
Multiplying surds
Solving surd equations
Rationalize the denominator
video
Algebraic Expressions
Equivalent algebraic expressions
Adding and subtracting algebraic expressions
Multiplying monomial by monomial
Multiplying monomial by binomial
Multiplying binomial by binomial
Multiplying polynomial by polynomial
Applications of polynomials
video
Linear Functions
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)M=(2x1​+x2​​,2y1​+y2​​)
Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
Gradient intercept form: y = mx + b
General form: Ax + By + C = 0
Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)y−y1​=m(x−x1​)
Rate of change
Graphing linear functions using table of values
Graphing linear functions using x- and y-intercepts
Graphing linear functions using various forms
Graphing linear functions using a single point and gradient
Word problems of graphing linear functions
Parallel and perpendicular lines in linear functions
Applications of linear relations
Perpendicular line equation
video
Simultaneous Equations
Determining number of solutions to linear equations
Solving simultaneous linear equations by graphing
Solving simultaneous linear equations by elimination
Solving simultaneous linear equations by substitution
Money related questions in linear equations
Unknown number related questions in linear equations
Distance and time related questions in linear equations
Rectangular shape related questions in linear equations
Simultaneous linear-quadratic equations
Simultaneous quadratic-quadratic equations
Solving 3 variable simultaneous equations by substitution
Solving 3 variable simultaneous equations by elimination
Solving 3 variable simultaneous equations with no solution, infinite solutions
Word problems relating 3 variable simultaneous equations
video
Factorising Quadratic Functions
Factorise by taking out the greatest common factor
Factorise by grouping
Factorising difference of squares: x^2 - y^2
Factorising trinomials
Factoring difference of cubes
Factoring sum of cubes
video
Quadratic Functions
Introduction to quadratic functions
Transformations of quadratic functions
Quadratic function in general form: y = ax^2 + bx + c
Quadratic function in vertex form: y = a(x-p)^2 + q
Completing the square
Converting from general to vertex form by completing the square
Shortcut: Vertex formula
Graphing quadratic functions: General form VS. Vertex form
Finding the quadratic functions for given parabolas
Applications of quadratic functions
video
Solving Quadratic Equations
Solving quadratic equations by factorising
Solving quadratic equations by completing the square
Using quadratic formula to solve quadratic equations
Nature of roots of quadratic equations: The discriminant
Solving polynomial equations by iteration
Applications of quadratic equations
video
Inequalities
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
Compound inequalities
Graphing linear inequalities in two variables
Solving quadratic inequalities in one variable
video
Algebraic Fractions
Simplifying algebraic fractions and restrictions
Adding and subtracting algebraic fractions
Multiplying algebraic fractions
Dividing algebraic fractions
Solving equations with algebraic fractions
Applications of equations with algebraic fractions
Simplifying complex fractions
Partial fraction decomposition
video
Reciprocal Functions
Graphing reciprocals of linear functions
Graphing reciprocals of quadratic functions
video
Functions
Function notation
Operations with functions
Adding functions
Subtracting functions
Multiplying functions
Dividing functions
Composite functions
Inequalities of combined functions
Inverse functions
One to one functions
Difference quotient: applications of functions
video
Transformations
Transformations of functions: Horizontal translations
Transformations of functions: Vertical translations
Reflection across the y-axis: y = f(-x)
Reflection across the x-axis: y = -f(x)
Transformations of functions: Horizontal stretches
Transformations of functions: Vertical stretches
Combining transformations of functions
Even and odd functions
video
Sequences
Arithmetic progressions
Geometric progressions
video
Indices and Exponential Functions
Indices: Product rule (a^x)(a^y) = a^(x+y)
Indices: Division rule (a^x / a^y) = a^(x-y)
Indices: Power rule (a^x)^y = a^(x * y)
Indices: Negative exponents
Indices: Zero exponent: a^0 = 1
Indices: Rational exponents
Combining laws of indices
Standard form
Convert between radicals and rational exponents
Solving for indices
Graphing exponential functions
video
Growth and Decay
Exponential growth and decay by a factor
Exponential growth and decay by percentage
Finance: Compound interest
Finance: Future value and present value
video
Congruent Triangles
Classifying Triangles
Congruence and Congruent Triangles
Triangles Congruent by SSS Proofs
Triangles Congruent by SAS and HL Proofs
Triangles Congruent by ASA and AAS Proofs
Isosceles and Equilateral Triangles
video
Circle Theorems
Angles in a circle
Chord properties
Tangent properties
Circles and circumference
Arcs of a circle
Areas and sectors of circles
Cyclic quadrilaterals
Central and inscribed angles in circles
Equations of circles
video
Surface Area and Volume
Surface area and volume of prisms
Surface area and volume of pyramids
Surface area and volume of cylinders
Surface area and volume of cones
Surface area and volume of spheres
video
Trigonometry
Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h}ho​ )
Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h}ha​ )
Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a}ao​ )
Combination of SohCahToa questions
Solving expressions using 45-45-90 special right triangles
Solving expressions using 30-60-90 special right triangles
Word problems relating ladder in trigonometry
Word problems relating guy wire in trigonometry
Other word problems relating angles in trigonometry
video
Sine Rule and Cosine Rule
Sine rule
Cosine rule
Sine rule and cosine rule word problems
video
Graphing Trigonometric Functions
Unit circle
Sine graph: y = sin x
Cosine graph: y = cos x
Tangent graph: y = tan x
video
Bearings
Introduction to bearings
Bearings and direction word problems
Angle of elevation and depression
video
Vectors
Introduction to vectors
Magnitude of a vector
Scalar multiplication
Equivalent vectors
Adding and subtracting vectors in component form
Word problems on vectors
video
Set Theory
Set notation
Set builder notation
Intersection and union of 2 sets
Intersection and union of 3 sets
video
Probability
Determining probabilities using tree diagrams and tables
Probability of independent events
Comparing experimental and theoretical probability
Conditional probability
Probability with Venn diagrams
video
Statistics
Median and mode
Mean
Range and outliers
Application of averages
video
Data and Graphs
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
Scatter plots and correlation
Frequency distribution and histograms
Frequency polygons
Reading and drawing Venn diagrams
Stem-and-leaf plots
Shapes of distributions

Our approach aligns with the evidence

+13-25%

Exam Scores

2x

Better Recall

25%

Less Anxiety
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Is GCSE Maths Hard?

If you're concerned about studying GCSE maths, you're not alone. Thousands of students just like you see maths as a difficult thing to learn and can struggle to grasp some of the more complex areas of the subject. Though it does seem like a daunting challenge, maths isn't that hard to get your head around once you have a firm understanding of the basics. Remember, you're not expected to know everything from day one. Learning mathematics will take time and in doing so, will greatly improve your chances of getting into college/university.

If you want GCSE maths help or would like additional GCSE revision materials for your GCSE maths quiz, our online video tutorials will walk you through all the relevant topics that are bound to come up in your end of year exams. We offer step-by-step guides for the following popular topics:

  • Circle Theorem
  • Standard Form
  • Law of Indices
  • Bearings
  • Statistics
  • Algebraic Expressions
  • Vectors

Our GCSE maths tutorial videos will show you easy to understand solutions to even the hardest GCSE maths test questions. Furthermore, you can test your knowledge using our GCSE maths practice materials. The content we deliver to you has been designed by experienced GCSE maths teachers and we have worked to ensure that we cover all the topics you'd find in current CGP maths books.

We understand that different schools and colleges will follow different awarding bodies. With that in mind, we have constructed our content to cover the following:

  • Edexcel GCSE Maths
  • AQA Maths GCSE
  • OCR GCSE Maths
  • WJEC GCSE Maths

We also understand and appreciate that every learner learns differently. To that end, we have decided to take a "from the ground up" approach that starts from the basics, assumes no prior knowledge, and covers all areas of GCSE maths. Each area of our content has been designed to seamlessly flow from one topic to the next, allowing you to build off what you've just learned, introducing more complex elements when you're ready.

As a subscriber to our online tutorial service, you'll have direct access to all the GCSE maths videos on our site. Regardless of whether you're looking for topics relating to GCSE maths foundation or higher, we've got you covered.

If you're currently in school and studying GCSE maths, or you're a returning student about to sit a retake exam, StudyPug can help. We have resources that can help you with your GCSE maths exam prep and your GCSE maths homework. No prior knowledge is needed and you only study the content that's relevant to you. There's no need to go over what you already know unless you want to.

If you're a parent with a child studying GCSE maths, our platform can greatly reduce the anxiety associated with revising for their exams. Check out our blog for more information on anxiety and how you can help them combat it.

How to Revise for GCSE Maths?

When it comes to performing well in your GCSE maths test, you should revise, revise, revise! The best way to learn is with repetition. Take what you've been taught in the classroom and go over it at home. Give yourself some study time outside of school hours and utilize a platform like StudyPug to help you along the way. We have GCSE maths revision materials and practice tests to help you highlight key areas to improve on. Taking the time to use these tools will help you to digest the information and more importantly, to retain it. It can also make a dramatic difference to your performance in class and in your exams.

Understandably, getting yourself in the mood to study can be difficult. If it's hard for you to stay focused in class or if you find it difficult or boring to work from a textbook, StudyPug may just be what you're looking for. We offer an extensive collection of fun and easy online revision aides that cover the same GCSE maths questions that can be found in those boring maths books.

Our easy practice GCSE maths courses offer you 24/7 help and as they're delivered via a video format, you can pause, rewind, or fast-forward the info, allowing you to skip content that's not relevant and learn at your own pace. We find that a lot of our students prefer the video format as the content is delivered in a conversational way that's easier to follow.

We want to make the learning experience more enjoyable for you. To do that, we've made an effort to ensure that the content being delivered speaks to you. Our step-by-step examples have been crafted by maths teachers who know how to breakdown the complex language of maths into more manageable pieces of information.

Regardless of the subject area you need help with, we have the exam solutions for you and we're confident our platform will help you prepare for your upcoming GCSE maths paper. Outside of exam revision, we also have content that can help you perform better in class. Think of our platform as "GCSE maths made easy", your one stop shop for all your GCSE maths needs.

To get you started, we're offering a collection of free GCSE maths lessons across the following subject areas:

  • Pythagorean Theorem & Estimating Square Roots
  • Multiplying Fractions and Whole Numbers
  • Enlargements and Reductions with Scale Factors
  • Solving Linear Equations Using Multiplication and Division
  • Adding and Subtracting Radicals
  • And much more!

Visit StudyPug today and see how we can make a difference to your performance.

How to Get a 9 in GCSE Maths?

As mentioned above, revision can dramatically improve your performance in exams and it's essential if you're looking to achieve the highest grade possible. Get yourself into the habit of completing maths worksheets and using GCSE maths past papers to sit mock exams. Work within the time limits for each paper and have family members or friends mark them for you. Review your performance and isolate areas of weakness. You can then use that information to build more effective GCSE revision strategies, leaving you with a much more rounded understanding of all areas of GCSE maths. Sit several mock exams and chart your progress to see improvements. Doing this can help raise your confidence and will show that the revision is working!

If you get a few questions wrong in a specific topic, revisit the whole topic, make sure you cover your bases and truly understand the area and where you went wrong. There's no guarantee that the question will appear on your actual test but a similar one might, so its key that you understand how to answer all questions in the subject area not just the one or two that you got wrong.

Regardless of whether you're studying foundation or higher maths, it's important that you can answer questions across all topics in your syllabus. Furthermore, you'll have to demonstrate that you cannot only answer the question but can show how you arrived at your conclusion. When marking papers, examiners need to see that you can interpret and accurately display a clear understanding of complex mathematical problems. Put simply, you must be able to show your thought process. Don't just give the answer, show how you arrived at the solution. You could potentially receive additional marks for showing you understanding of the problem and how you attempted to work it out.

Use revision tools like StudyPug to help you. As your virtual GCSE maths tutor, we have 1000s of lessons online to help you study maths. Our videos cover every aspect of GCSE maths so if you're struggling with the Pythagorean theorem, need help with quadratics, or anything else, we've got the content to help!

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