This worksheet has 4 pages of questions, each with a diagram, for your students to practise finding the area between two graphs. The first 4 questions are on areas between a curve and a line, the remaining questions are on areas between 2 curves. Answers to all questions are provided.

This simple 2-sided worksheet can be used with your class as practice or revision of trigonometry in non right-angled triangles. The answers are included but can be removed if you want to use the sheet as a homework or test. Note that one of the questions involves bearings.

This is a test I have used with year 9 classes after teaching them powers (evaluating and simplifying) and standard form (writing numbers in SI form and doing calculations in SI form). The test includes negative and fractional powers. The answers/mark scheme is included.

This printable worksheet makes it easy to introduce the route inspection algorithm and will help your students understand how to apply the algorithm. The first page reminds students about Eulerian and semi-Eulerian graphs, how these are the types of graphs we require to solve the route inspection problem, and then has an example where you can introduce the idea of adding/repeating arcs to create the type of graph you need. The next page summarises the steps of the general algorithm and then the set of example questions begins. There are 14 questions in total, all with diagrams, with some requiring a closed route and some that do not. Fully worked solutions for all examples are provided.

This worksheet makes it easy to introduce and teach the trapezium rule to your classes. The first page has diagrams to illustrate the method and the derivation of the formula is broken down into steps for you to work through with your class. Projecting all this is so much easier than drawing it out by hand. The trapezium rule formula is then stated at the top of page 2, followed by 3 pages of examples of examination-style questions that test the use of the formula and your students’ understanding (is the answer from the trapezium rule an underestimate or overestimate, can they use their answer to deduce an estimate for a related integral, etc). Answers to all the examples 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

This 2-sided worksheet is a good way to introduce/revise factorising with a single bracket. There is a brief introduction to explain the difference between “factorise” and “factorise fully”, together with a few examples to work through as a class to illustrate the method for each type of question. There are then lots of questions for students to attempt, starting with the most straightforward where just one number is put outside the bracket, working up to questions where numbers and variables need to be outside the bracket. Solutions are included.

This simple 2-sided worksheet has lots of questions for your class to practise expanding a bracket. The questions gradually become more difficult and there are some questions at the end where they have to find the error in expansions and then correct them.

This printable worksheet is a good way to get your class to practise using Prim's and Kruskal's algorithms to find the minimum spanning tree for a network. The sheet saves you or your students having to copy down any network or tables and allows you to focus your time on using the algorithms. The worksheet includes using Prim's on a network and on a matrix. Solutions are provided.

This simple, one-sided worksheet is designed to help students learn/recall how to simplify expressions. It begins by explaining when terms can be put together, then there are 12 pairs of terms for students to consider, combining them where appropriate. The final section contains 16 expressions for students to practise simplifying. Answers to the sheet are included.

A simple worksheet for your classes to practise substituting values into expressions and formulas. In total there are over 50 substitutions for them to complete. Includes questions where the answers to each part should form a sequence, so students should be able to notice and correct errors themselves for these questions. I have only used postive and negative integers throughout, but this could be amended to use fractions, surds etc if you wanted to make it more challenging.

It can be difficult to understand the forces acting when one object is placed on top of another. I have used this worksheet to help my students understand this type of problem and give them the opportunity to practise questions ranging from basic up to examination standard. There are 10 questions in total, worked solutions are included.

I have used this worksheet to teach my classes about using differentiation/integration to investigate the motion of an object with variable acceleration. Having these printable worksheets that I can project on a board and the students can work on seems to save a lot of time and effort for this topic. The introduction builds on what they should already know from velocity-time and displacement-time graphs for constant acceleration, deriving the methods needed for variable acceleration. There is then 1 example that requires differentiation and 1 that requires integration. Answers are not included as I usually work through this with my classes. Other mechanics resources are available - please see my shop.

This short worksheet can be used to check that your students have understood how to use Newton's second law in situations where more than 1 force is acting on the object. The questions only involve objects on horizontal surfaces and all forces are parallel to the surface. The questions can easily be extended by asking students to work out the acceleration, mass or missing force in each question. Answers are not included as I usually work through this sheet with my class. Other mechanics resources are available - please see my shop.

I have used these two worksheets to teach my classes about the important properties of velocity-time and displacement-time graphs. Having these printable worksheets that I can project on a board and the students can work on seems to save a lot of time and effort for this topic. Each worksheet has a number of examples to illustrate particular properties of the graphs and there are spaces at the end to summarise these properties. I hope you find them useful. Answers are not included as I usually work through these with my classes. Other mechanics resources are available - please see my shop.

These worksheets together contain over 30 pages of questions on objects on slopes - ideal practice for students preparing to sit their Mechanics 1 module exams. Many of the questions have accompanying diagrams as an aid. Answers to all questions are provided.

There is a large variety of questions, some with diagrams as an aid but then many later questions are without diagrams. Assumes knowledge of F=ma, constant acceleration formulas, resolving forces, and friction. This worksheet is a really good test to see if your students are secure with all the required knowledge for these problems. All answers are included.

This worksheet contains 25 pages questions on resultant forces and equilibrium - ideal practice for students preparing to sit their Mechanics 1 module exams. This is a huge resource of questions and covers finding the resultant from 2/3 forces (including use of bearings), total contact force, finding a force given the resultant, and a triangle of forces for equilibrium. At the start of each new type of question there is a short note with the required information or skill to be able to solve that type of problem. Many questions come with a diagram as an aid. Answers to all the questions are provided.

I found it time-consuming tryingto teach my classes how to resolve forces by drawing diagrams on the board and asking them to copy them down - it seemed to take ages and they didn't get to work through that many examples themselves. So I created this worksheet with ready-made diagrams with all the forces and a blank copy of diagram for students to add on the resolved forces. I no longer dread teaching this skill and my classes get a lot more done in the lesson time. The worksheet starts with an introductory explanation and a worked example. There are then over 20 questions for students to attempt. Fully worked solutions are included.

This worksheet contains 25 pages of questions on objects on pulleys - ideal practice for students preparing to sit their Mechanics 1 module exams. It has an introductory section which explains the important principles and terminology used, then there are 41 (multi-part) examination-style questions for students to work through. Answers to all questions are provided.