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.
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.
This document has a few different sets of axes with graph paper in 2 different formats. The numbers on the axes can be amended so can, to some extent, be customised to your needs.
I hope you find them useful.
This is a word document with 5 pages of templates that can be used to create histograms for examples or worksheets.
I've tried to cover a good range of different sizes, the numbers on the axes can be amended and the bars can be created by copying and pasting the provided blocks.
I hope you find this useful.
These are 2 different worksheets that can be used to practise/revise the most common types of linear equations that students are expected to be able to solve at GCSE level.
Answers are included.
These worksheets are great to give your students practice of all the types of sequences they are expected to know about for the new GCSE.
Each sequence worksheet contains 20 questions. The questions include a mixture of finding the next term, finding an expression for the nth term, or finding the value of a given term later in the sequence. All worksheets come with solutions.
Also included is a 3-page worksheet that can be used to explain the method used to find the nth term of a quadratic sequence. This is a nice way for students to experiment to discover the relationship between the 2nd differences and the coefficient of n^2 and see how this forms the basis for finding an expression for the general term. Answers to the worksheet are included.
The final resource is designed to help students identify the type of sequence they are given. There are notes explaining the key properties of each type of sequence, with examples, and then there are 15 sequences for them to categorise and work out the next term. Answers are included.
There is approximately 2 hours worth of material here for an able GCSE group.
The introductory sheet looks at the three different types of ratio questions. For each type there are examples intended to work through as a class then there are additional questions for students to attempt on their own (answers provided).
The second resource contains 12 exam-style questions (answers included).
These printable resources are ideal for getting students to practise working out coordinates for quadratic functions and drawing their graphs. Partially completed tables and graph paper are provided for each question.
The first worksheet contains 10 questions all of the form y=x^2+ax+b.
The second worksheet contains 8 questions, some of the form y=x^2+ax+b and some are y=ax^2+bx+c where a>1. Some of these questions are harder that the first worksheet because there isn’t any “symmetry” within the y-values in the table, which serves as a check.
The homework contains 6 questions: 4 of the form y=x^2+ax+b, 2 of the form y=ax^2+bx+c where a>1.
All solutions are included to print or project for your class to check their tables and graphs.
I have used this 4-page worksheet with my classes to get them to understand the process of completing the square on expressions of the form x^2+ax+b.
The worksheet takes them through the following stages:
1. Practise expanding and simplifying (x+p)^2
2. Practise expanding and simplifying (x+p)^2+q
3. Practise writing x^2+ax+b in the form (x+p)^2+q
My classes have usually had a good understanding of how completing the square works after finishing this worksheet and are ready to practise using it to solve quadratic equations.
A worksheet with 30 questions on equations involving algebraic fractions.
In each question the equations must be rearranged to reach a quadratic equation. In later questions the quadratic equation must also be solved (using the quadratic formula).
A good resource for a demanding higher tier GCSE topic. All answers provided.
Lots of worksheets, presentations and homeworks to cover the various parts the probability topic including basic probability, expectation, relative frequency, Venn diagrams and tree diagrams.
I think this is a difficult topic to teach well from a textbook. These printable worksheets have helped my classes make faster progress and gain a better understanding within the lesson.
The resources are suitable for the new GCSE specification which does not include stretches of graphs.
These resources are designed to cover the whole topic of direct and inverse proportion in the new GCSE (higher tier).
The first resource is intended to be worked through as a class, learning the correct formulae to use in each case and working through examples.
The second resource is a quick exercise to check students understand how to choose the correct formulae for direct and inverse proportion.
The third resource is 6 pages of exam-style questions for students to work through on their own.
The powerpoint presentation tests whether students can choose the correct formula to match a given graph showing the relationship between two quantities.
The final resource can be used to revise the whole topic prior to a test or in preparation for examinations.
All answers are included.
These resources are designed to cover all the required knowledge for tree diagrams in the new GCSE.
The introduction sheet is a reminder/introduction to how tree diagrams are formed and used.
There are then 3 worksheets for students to work through. The first (8 pages) does not have any conditional probability, the second (8 pages) is entirely conditional probability and then the third (6 pages) is a mixture.
The final resource (6 pages) can be used as a homework or summative assessment.
Answers for all worksheets are provided.
These resources are designed for the new GCSE higher tier.
The first worksheet introduces how Venn diagrams work and the notation used for the different sections of the diagram.
The second worksheet is to practise using the notation correctly.
The powerpoint can be used as a whole class activity to see if they have learned the notation correctly - it contains 11 multiple choice questions, for each they must choose which option is the correct notation for the given Venn diagram.
The final 10-page worksheet is a set of exam-style questions.
All answers are included.
A set of six resources mostly on the more basic aspects of probability.
1. A worksheet on finding probabilities from two-way tables.
2. A worksheet on expectation.
3&4. Resources to introduce and practise questions on relative frequency.
5. An 8-page worksheet covering all aspects of basic probability.
6. A worksheet on independent, mutually exclusive, complementary and exhaustive events.
Answers to all worksheets are provided.
This worksheet has 10 pages of non-calculator questions on finding the surface area and volume of shapes, including cones and spheres.
All answers are provided.
In each question the students are given two different shapes and told the relationship between their perimeters/area/volumes. Based on this information they must either work out a length of one of the shapes or express a length of one shape in terms of a length of the other.
These can be demanding questions and, in my experience, students struggle with these questions unless they've had a fair bit of practice.
This worksheet contains 6 pages of questions and all answers are provided.
This 16-page worksheet contains 50 questions.
In each question the student is given the perimeter/area/volume of the shape and must use this to work out one of the lengths of the shape.
There is a mixture of calculator and non-calculator questions, which are clearly indicated.
All answers are included.
If one shape is placed inside another a common question is "what fraction of the larger shape is taken up by the smaller shape inside it?".
In my experience students struggle with this type of question unless they've had a fair bit of practise.
This worksheet has a mixture of 2D/3D questions on this topic, with all answers provided.