Hero image

MathsWorksheetMaster's Shop

Average Rating4.54
(based on 229 reviews)

All my resources have been created to use with classes I teach. Often I've created resources because, for a particular topic, I haven't been happy with the number/standard of the examples in a textbook. Sometimes I've created worksheets for certain topics (e.g. graph transformations) because I feel my classes will make greater progress on a printed worksheet than trying to work from a textbook. I always aim to produce high-quality resources that improve the students' learning and understanding.

245Uploads

420k+Views

370k+Downloads

All my resources have been created to use with classes I teach. Often I've created resources because, for a particular topic, I haven't been happy with the number/standard of the examples in a textbook. Sometimes I've created worksheets for certain topics (e.g. graph transformations) because I feel my classes will make greater progress on a printed worksheet than trying to work from a textbook. I always aim to produce high-quality resources that improve the students' learning and understanding.
Euler's formula for faces, edges, vertices of a polyhedron
MathsWorksheetMasterMathsWorksheetMaster

Euler's formula for faces, edges, vertices of a polyhedron

(0)
I have found plenty of resources to help students find Euler’s formula, but couldn’t find any where students can practise using it - so I made one! This worksheet starts by reminding them of the result and then there are a few examples to work through with your class, followed by an exercise with 16 questions of increasing difficulty. Note - some of the questions involve use of (basic) algebra
Probability problems leading to quadratic equations
MathsWorksheetMasterMathsWorksheetMaster

Probability problems leading to quadratic equations

(0)
These resources deal with problems where 2 or more items are chosen at random, we are given the probability of a particular outcome, and this is used to derive a quadratic equation that then needs to be solved. The first resource can be used to teach the topic. It is in two sections - section A deals with selection with replacement, section B deals with selection without replacement. In each section there are 2 examples to work through with the class, followed by an exercise with more than 10 questions of increasing difficulty for the class to attempt themselves. Fully worked solutions to the examples and exercises are included. The second resource is another set of questions that can be used as a homework or revision - 8 questions that are a mixture of with/without replacement. Also included is a spreadsheet that calculates the probabilities for all outcomes in situations where there are between 5 and 40 items - just in case your class loves this topic and wants more questions!
Algebraic proof (new GCSE 9-1 Maths)
MathsWorksheetMasterMathsWorksheetMaster

Algebraic proof (new GCSE 9-1 Maths)

(1)
This worksheet focuses on quadratic expressions where the question requires the candidate to show that the expression is always positive, never negative, etc. There is an introductory activity where students practise thinking about expressions of the form ax^2 + b, or a(x-b)^2 + c - doing a quick sketch of the graph and then deciding whether they are always positive, never negative, always negative or never positive. Next is a page of example proofs to work through with your class, followed by an exercise with 15 questions for your class to attempt themselves. Fully worked solutions to the examples and the exercise are included.
Parametric equations (new  A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Parametric equations (new A level maths)

(0)
This 28-page resource covers all the required knowledge and techniques for the topic of parametric equations, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: Parametric graphs (a) sketching graphs with parametric equations (b) finding the value(s) of the parameter at a particular point on the graph Converting parametric to cartesian equations (a) converting parametric equations that are polynomials, rational functions, exponential functions… (b) converting parametric equations that involve trigonometric functions Finding the intersection of a parametric graph and a graph with cartesian equation (a) Converting the parametric equation to cartesian (b) Substituting the parametric equations into the cartesian Finding gradients of parametric curves (a) Finding an expression for dy/dx and the gradient of the curve at a point (b) Finding stationary points and points where tangent is parallel to x-axis or y-axis © Finding the equation of the tangent or normal to the curve Finding the area between a parametric curve and the x-axis This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. The comprehensive set of exercises contains around 100 questions for your students to complete. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Finding areas by counting squares
MathsWorksheetMasterMathsWorksheetMaster

Finding areas by counting squares

(1)
A simple resource to give your class practice of finding the area of a shape by counting squares. It has brief notes and examples at the start, then an exercise with 18 questions for students to attempt (answers included). The shapes are squares, rectangles, triangles and compound shapes using these 3 shapes (so no circles or parts of circles).
Fixed point iteration (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Fixed point iteration (new A level maths)

(1)
This 25-page resource covers all the required knowledge and techniques for using fixed point iteration to find roots of an equation, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: 1.Introduction to the method (a) creating an iterative formula from an equation f(x)=0 (b) using fixed point iteration to find successive approximations or an estimate of a root © illustrating the covergence of the approximations on a cobweb or staircase diagram 2.Conditions where fixed point iteration fails (a) situations where successive approximations do / do not converge to a particular root (b) situations where successive approximations do not converge to any root © how to predict whether an iterative formula will produce approximations that converge towards a root (d) illustrating the covergence / divergence of the approximations on a cobweb or staircase diagram This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces and diagrams provided for solutions. The exercises contains over 35 questions for your students to complete. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Newton Raphson method (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Newton Raphson method (new A level maths)

(0)
This 19-page resource covers all the required knowledge and techniques for using the Newton Raphson method to find roots of an equation, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). Also included is multiple-choice assessment that can be used as a plenary or brief homework. The sections/topics are: 1.Introduction to the method (a) the iterative formula and a graphical interpretation of the process (b) using the method to find successive approximations or an estimate of a root © different ways in which the formula may be written © illustrating the method on a diagram 2.Conditions where the Newton Raphson method fails (a) what happens if an approximation occurs at a stationary point of f(x) (b) situations where successive approximations converge to a different root © situations where successive approximations do not converge to a root (d) what happens if an approximation is outside the domain of f(x) This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. The exercises contains 35 questions for your students to complete. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Using the sign change rule (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Using the sign change rule (new A level maths)

(0)
This resource covers the use of graphs and/or the sign-change rule to investigate roots of equations, as required for the new A level. It contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The notes cover: (a) Use of a sketch of y=f(x) and y=g(x) to investigate roots of f(x) = g(x) (b) Using a sketch of y=f(x)-g(x) to investigate roots of f(x)=g(x) © Using the sign-change rule (d) Conditions where the sign-change rule can be misleading This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to the exercise are included. Also included is a short activity to show how this method can be used to find smaller intervals where a root lies, which can be used as an introduction to iterative methods. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Using integration to find areas
MathsWorksheetMasterMathsWorksheetMaster

Using integration to find areas

(0)
This 11-page resource covers the different techniques for using integration to find the size of areas, as required for the new A level. In every section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The types of questions included in the examples and exercises are: 1.Area between a curve and the x-axis where some/all of the curve is below the x-axis 2.Area enclosed between two graphs 3.Area between a curve and the y-axis This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Differential equations (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Differential equations (new A level maths)

(0)
This 33-page resource covers all the required knowledge and techniques for the topic of differential equations, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). Also included is 17-question assessment that can be used as a test or homework. The sections/topics are: 1.Finding the equation of a curve from its gradient function (a) from dy/dx = … find an expression for y (b) finding general and particular solutions 2.Variable separable equations (a) practice of separating the variables into the form f(y) dy = g(x) dx (b) solving variable separable equations 3.Forming differential equations from a description of how a quantity is changing 4.Modelling with differential equations (a) Constructing the appropriate differential equation to model a given situation (b) Solve differential equations and interpret/use the solutions © Consider the assumption(s) or limitation(s) of a model and suggest possible improvements This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. The comprehensive set of exercises contains around 100 questions for your students to complete. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Related rates of change (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Related rates of change (new A level maths)

(0)
This 10-page resource covers all the required knowledge and techniques for related rates of change, as required for the new A level. It contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). It begins with an introductory example which shows related quantities can change at different rates and how the chain rule can be used to connect them. There is then a summary of the method and a page of example questions to complete with your class. The exercise that follows contains over 40 questions for your students to attempt. This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Convex, concave curves and points of inflection (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Convex, concave curves and points of inflection (new A level maths)

(2)
This 11-page resource covers all the required knowledge and techniques for determining if curves are convex/concave and finding points of inflection, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: 1.Convex and concave curves (a) determine from a sketch if curve is convex, concave or neither (b) find the values of x for which a graph is convex (or concave) © show algebraically that a function is convex (or concave) 2.Points of inflection (a) find the point(s) of inflection on a graph (b) determine whether a point of inflection is stationary or non-stationary © show that a curve has no points of inflection (d) use point(s) of inflection to determine the values of x for which a curve is convex (or concave) This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Further integration (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Further integration (new A level maths)

(0)
This 32-page resource covers all the required knowledge and techniques for the more sophisticated methods of integration, as required for the new A level. In every section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: 1.Integration using "reverse chain rule" 2.Integration by substitution (x=f(u) or u=f(x)) 3.Integration by parts 4.Using trigonometric identities 5.Using a trigonometric substitution 6.Integrating rational functions In all there are over 130 questions in the various exercises for your students to work through. This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included. Also included is a 12-question assessment that can be used as a homework or a test. Fully worked solutions are provided. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Proof by contradiction (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Proof by contradiction (new A level maths)

(1)
This short worksheet can be used to deliver the topic of proof by contradiction in the new A level specification for all exam boards. A useful resource to help deliver this new topic - fully worked solutions are included for all examples and questions in the exercise. It begins with 5 examples to work through with your class (the full proofs are given in the teacher’s version). The examples are carefully chosen so that, for the final example, students have seen the results/techniques they need to prove that the square root of 5 is irrational. Students are expected to be familiar with a proof of the infinity of primes, so on the next page this proof is given in full, together with some numerical examples that should help students understand part of its argument. There is then an exercise with 9 questions for students to attempt themselves (full proofs provided). A homework/test is also included (7 questions), with fully-worked solutions provided. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Binomial expansions (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Binomial expansions (new A level maths)

(0)
This 26-page resource covers all the required knowledge and techniques for binomial expansions with positive integer powers, as required for the new AS level. In every section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The types of questions included in the examples and exercises are: 1.Expand (ax+b)^n or (a+bx)^n 2.Find first 3 terms, in ascending powers of x, of the expansion of (a+bx)^n 3.Find the coefficient of x^k in the expansion of (a+bx)^n 4.Given the coefficient of x^k in the expansion of (a+bx)^n, find the value of a (or b). 5.Evaluating or simplifying nCr without a calculator 6.Given that (1+ax)^n = … find the value of n 7.Expand (ax+b)^n, hence expand (cx+d)(ax+b)^n 8.Use the first 3 terms of an expansion of (a+bx)^n to estimate k^n In all there are over 100 questions in the various exercises for your students to work through. This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to all exercises are included. Also included is a 16-question assessment that can be used as a homework or a test. Fully worked solutions are provided. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186
Reciprocal of integer, fraction, decimal
MathsWorksheetMasterMathsWorksheetMaster

Reciprocal of integer, fraction, decimal

(6)
This worksheet will give your class a bit of practice of finding the reciprocal of different types of numbers. Each section starts with an explanation and/or examples, followed by a short exercise of questions for students to complete. The sections are: Reciprocal of an integer Reciprocal of a fraction of the form 1/n Reciprocal of a fraction of the form a/b (includes conversion of mixed fractions to improper) Reciprocal of a decimal (requires conversion of decimal to fraction) The answers to the questions in the exercises are included.
Exponential models
MathsWorksheetMasterMathsWorksheetMaster

Exponential models

4 Resources
Contains 3 sets of detailed notes, examples and exercises to help you teach the whole topic of exponential models and fitting models to experimental data. Also includes a 20-question assessement with fully-worked solutions that is ideal as an extended homework or a test.
Exponential models (new A level maths) - homework/test
MathsWorksheetMasterMathsWorksheetMaster

Exponential models (new A level maths) - homework/test

(0)
This assessment covers all aspects of the exponential models topics for all examination boards. It contains 20 questions, ranging from simple multiple-choice questions that would be worth 1 mark, to demanding multi-stage problems typical of specimen examination questions. An answer sheet is provided for students to work on (with axes provided for questions that require graph work). Fully-worked solutions are included.
Using logarithmic graphs for models (new A level maths)
MathsWorksheetMasterMathsWorksheetMaster

Using logarithmic graphs for models (new A level maths)

(0)
This resource was designed to help students learn how graphs with logarithmic scales are connected to models of the form y=ab^x and y=ax^n. The first section focuses on models of the form y=ab^x. There are examples to work through as a class, with axes provided, to establish that if y=ab^x then there is a linear relationship between log(y) and x. There is then a page of examples to practice changing from y=ab^x into the linear equation, and vice versa. The examples conclude with 2 questions where students are given experimental data and required to use a graph to estimate the values of a and b in the model y=ab^x - which is typical of an examination-style question. There is then an exercise with 11 questions for students to complete on their own (again, all axes are provided). The second section focuses on models of the form y=ax^n. There are examples to work through as a class, with axes provided, to establish that if y=ax^n then there is a linear relationship between log(y) and log(x). There is then a page of examples to practice changing from y=ax^n into the linear equation, and vice versa. The examples conclude with 2 questions where students are given experimental data and required to use a graph to estimate the values of a and n in the model y=ax^n - which is typical of an examination-style question. There is then an exercise with 11 questions for students to complete on their own (again, all axes are provided). Answers to all questions in the exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186