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Master Year 11 Maths

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Clear video explanations for every GCSE maths concept

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Year 11 Maths Topics

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video
Number System
Understanding the number systems
Prime factorisation
Greatest Common Factors (GCF)
Least Common Multiple (LCM)
Rational vs. Irrational numbers
Converting repeating decimals to fractions
video
Surds
Square and square roots
Cubic and cube roots
Evaluating and simplifying surds
Operations with surds
Conversion between entire surds and mixed surds
Adding and subtracting surds
Multiplying surds
Solving surd equations
Rationalize the denominator
video
Laws of Indices
Product rule of exponents
Quotient rule of exponents
Power of a product rule
Power of a quotient rule
Power of a power rule
Negative exponent rule
Combining the exponent rules
Standard form
Convert between radicals and rational exponents
Solving for exponents
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
Linear Inequalities
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
Compound inequalities
video
Linear Relations
Identifying proportional relationships
Representing patterns in linear relations
Reading linear relation graphs
Solving linear equations by graphing
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 from gradient-intercept form y=mx+b
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
video
Linear Equations
Introduction to linear equations
Introduction to nonlinear equations
Special case of linear equations: Horizontal lines
Special case of linear equations: Vertical lines
Parallel line equation
Perpendicular line equation
Combination of both parallel and perpendicular line equations
Applications of linear equations
video
Solving Simultaneous Equations
Determining number of solutions to linear equations
Solving simultaneous equations by graphing
Solving simultaneous equations by elimination
Solving simultaneous 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
video
Exponential Functions
Exponents: Product rule (a^x)(a^y) = a^(x+y)
Exponents: Division rule (a^x / a^y) = a^(x-y)
Exponents: Power rule (a^x)^y = a^(x * y)
Exponents: Negative exponents
Exponents: Zero exponent: a^0 = 1
Exponents: Rational exponents
Solving exponential equations using exponent rules
Graphing exponential functions
Graphing transformations of exponential functions
Finding an exponential function given its graph
video
Operations of Polynomials
What is a polynomial?
Polynomial components
Multiplying monomial by monomial
Multiplying monomial by binomial
Multiplying binomial by binomial
Multiplying polynomial by polynomial
Applications of polynomials
video
Factorising Polynomial Expressions
Common factors of polynomials
Factorising polynomials by grouping
Solving polynomials with the unknown "b" from x^2 + bx + c
Solving polynomials with the unknown "c" from x^2 + bx + c
Factorising polynomials: x^2 + bx + c
Applications of polynomials: x^2 + bx + c
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + cax2+bx+c
Factorising polynomials: ax2+bx+cax^2 + bx + cax2+bx+c
Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
Evaluating polynomials
Using algebra tiles to factorise polynomials
Solving polynomial equations
Word problems of polynomials
video
Transformations of Functions
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
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
Introduction to 3-Dimensional Figures
Introduction to surface area of 3-dimensional shapes
Nets of 3-dimensional shapes
Surface area of prisms
Surface area of cylinders
video
Properties of Triangles
Classifying Triangles
Isosceles and equilateral triangles
video
Congruent Triangles
Congruence and Congruent Triangles
Triangles Congruent by SSS Proofs
Triangles Congruent by SAS and HL Proofs
Triangles Congruent by ASA and AAS Proofs
video
Circle Geometry
Angles in a circle
Chord properties
Tangent properties
Circles and circumference
Arcs of a circle
Areas and sectors of circles
Inscribed quadrilaterlas in circles
Central and inscribed angles in circles
Conics - circle
video
Scale Factors and Similarity
Enlargements and reductions with scale factors
Scale diagrams
Similar triangles
Similar polygons
video
Pythagorean Theorem
Squares and square roots
Pythagorean theorem
Estimating square roots
Using the pythagorean relationship
Applications of pythagorean theorem
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
Sine rule
Cosine rule
Application of the sine rule and cosine rule
video
Bearings
Introduction to bearings
Bearings and direction word problems
Angle of elevation and depression
video
Volume
Introduction to volume
Volume of prisms
Volume of cylinders
Word problems relating volume of prisms and cylinders
video
Measuring Systems
Metric systems
Imperial systems
Conversions between metric and imperial systems
Conversions involve squares and cubic
Upper and lower bound
video
Introduction to Probability
Introduction to probability
Organizing outcomes
Probability of independent events
Comparing experimental and theoretical probability
video
Probability
Determining probabilities using tree diagrams and tables
Probability of independent events
Probability with Venn diagrams
video
Statistics
Median and mode
Mean
Range and outliers
Application of averages
Influencing factors in data collection
Data collection
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
Stem-and-leaf plots
Reading and drawing Venn diagrams
video
Vectors
Introduction to vectors
Magnitude of a vector
Direction angle of a vector
Scalar multiplication
Equivalent vectors
Adding and subtracting vectors in component form
Operations on vectors in magnitude and direction form
Unit Vector
Word problems on vectors

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Is Year 11 Maths hard?

If you're currently in year 11 and looking for easy practice materials ahead of your upcoming maths exams, you're not alone. There are hundreds of thousands of students just like you that benefit from our easy maths revision guides that help them tackling every aspect of year 11 maths.

The fact that you're here, shows that you understand how important a good grade can be for future college applications and eventual employment. Though it does seem like a daunting challenge, you're now one step closer to conquering year 11 maths.

You'll find that maths becomes a lot easier once you have a firm understanding of the basics, so don't be afraid to revisit old topics to make sure you truly understand them before advancing on to the more complex elements of the curriculum. Remember, you're not expected to know everything from day one, so go at your own pace and use StudyPug as a companion to your studies.

We've got content that can provide easier year 11 maths revision and information that can help with your homework too. Our online video tutorials will walk you through all the relevant topics that are bound to come up in your end of year exams, and we offer step-by-step examples across a variety of topics, including the following:

  • Circle Theorem
  • Indices
  • Algebraic Proof
  • Vectors
  • And more

Our year 11 maths 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 revision materials. The content we deliver, has been designed by experienced GCSE maths teachers and we have worked to ensure that we cover all the topics you'd expect to find in current maths textbooks.

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

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

We also understand that every learner has their own way of learning. 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 your year 11 maths syllabus. Each lesson, has been designed to seamlessly flow from one topic to the next, allowing you to build off the information you've just learned, introducing more complex topics when you're ready.

How to Revise for Year 11 Maths?

To effectively revise for your year 11 maths exams, you'll need to be taking notes in class and testing your knowledge to review your strengths and weaknesses. Use year 11 worksheets and our revision materials to help you highlight the areas that you need to work on.

Taking the time to use these tools will not only help you build more effective revision strategies. but it will also help you to retain the information. Remember, memorizing maths isn't as good as truly understanding the problems and how to solve them, so take the time to truly digest the information you're receiving.

We understand that finding time and motivation to study can be difficult. Many students struggle to stay focused in class or find it difficult and boring to work from a textbook. If that sounds like you, 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 year 11 maths questions that can be found in those boring maths books.

Our year 11 maths tutorial platform offers you 24/7 help and as our lessons are 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've found that a lot of our students prefer this video service as the content is delivered in a much more conversational way that's easier to follow.

Use our content to address any areas of weakness that you have and sit mock exams to track your progression. As you study more and sit mock tests, you should see an improvement in your performance. To get you started, we're offering a collection of free year 11 maths lessons across the following subject areas:

  • Understanding the Number System
  • Least Common Multiple (LCM)
  • Square and Square Roots
  • Operations with Radicals
  • Product Rule of Exponents
  • Solving Linear Equations Using Multiplication and Division
  • Expressing Linear Inequalities Graphically and Algebraically
  • Parallel Line Equation
  • And more

I Have Gone Through All the Past Papers – What Now?

Efficient year 11 maths exam prep goes beyond past papers, so if you've completed AQA past papers, SQA past papers, and so on, you should be utilizing our extensive collection of videos to cover all topics on the curriculum. Remember, the year 11 maths questions that appeared on past tests, aren't necessarily going to be the ones that appear on your upcoming exam, so make sure you have a firm understanding across all potential topics. Don't assume that because a topic wasn't featured in past years, it won't feature this year.

How to Pass Year 11 Maths?

It cannot be stressed enough, if you want to pass year 11 maths with ease, you must revise, revise, revise! This can dramatically improve your performance during your exams and can help you achieve that grade 9.

As mentioned above, sit mock exams using year 11 maths past papers. Try to adhere to the time constraints for each paper, avoid using your phone, and remove any other distractions while you sit the test. Have family or friends mark the paper on your behalf and then review your score. If you get a few questions wrong in a specific topic, revisit the whole topic and make sure you understand where you went wrong. Similar questions are bound to appear on your actual test.

Examiners will want to see evidence that you can arrive at the correct answers without simple memorization, so show your working out to earn additional marks. These marks can be the difference between a grade 8 and a grade 9.

Additionally, don't spend time on difficult problems early on. If it's too tough, skip it and come back to it later. Focusing to early on questions that you're struggling with could hold you back from getting to the questions you know how to answer. Once you've worked through the paper, you can then return to the trickier questions without that added pressure. If you finish all of the questions early, don't just sit there and relax! Go back, double check, and then triple check your answers. You may catch something you didn't notice.

Finally, to help you pass year 11 maths, use StudyPug! As your virtual Year 11 maths tutor, we have 1000s of lessons online to help you prepare for your tests. Our videos cover all aspects of GCSE maths, so regardless of whether your revising for GCSE foundation maths or require higher maths revision, we've got you covered.

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