A worksheet that takes the student through most of the circle theorems they will need for GCSE. Includes opposite angles in a cyclic quadrilateral; angle in a semicircle; angles in the same segment; angles at centre vs at circumference; a tangents activity; and a few practice questions. Doesn't include alternate segment theorem though, nor intersecting chords theorem (on Edexcel IGCSE 2009 spec).

A selection of problems from various sources, most of them quite challenging, for use with Higher GCSE students. Some only require Foundation skills (indicated in top right-hand corner of question slide) so they could also be used with Foundation students at a pinch. Each one is over two slides, with the first slide giving hints and the second giving the solution. The hints and solutions are all animated so that they are only revealed a line/paragraph at a time. Could be used in class or uploaded onto a VLE for keen students to use for extra challenge.

This is based on a poster that AQA published but is much gentler on the print budget, as well as being (in my opinion) easier to read than the original white and purple text on an orange background. I’ve added a couple of bits (e.g. equation of a circle, product rule in terms of u and v as well as the original f and g) and indicated which formulae come up in each year of the course, but it’s mostly the same as the original. As well as the A4 version I’ve included a “2-up” version with two A5 copies per A4 sheet. New version uploaded 10/7/19 with a correction to the Integration section.

Revision questions covering the whole of the Quadratics topic for both GCSE and A-level - a single A4 page for each. The GCSE version includes indications of the approximate grade level for each question. There’s a lot of overlap between the versions, hence only one set of solutions; these match the numbering on the GCSE version but there’s only one question on the A-level sheet that isn’t on the GCSE one, and solutions to that are included.

A worksheet covering the subtopic on discrete probability distributions for the first year of A-level Maths. Includes a general intro, tabulating a probability distribution and other forms in which it might be defined, cumulative distribution function, expected value of a distribution. You’ll have to look elsewhere for tricky questions but this covers the need-to-knows. Answers are on page 3 but I’ve also included a set of detailed solutions.

Inspired by another similar resource found on TES, I’ve done one of my own. This one uses the rules on angles in parallel lines, different kinds of triangles and polygons, with parallel and equal lines indicated on the diagram. Starts off pretty straightforward but gets trickier towards the end. Second slide is animated with the solutions. A copy of the problem sheet is also provided in PDF form for ease of printing.

A short animated PowerPoint showing the derivation of the Newton-Raphson formula and an illustrated example of its application.

Worksheet of questions requiring the use of algebra skills to form and solve an equation relating to the area or perimeter of, or angles in, a triangle or quadrilateral. A couple of the later questions also require use of Pythagoras’ theorem. Answers on page 2, and full worked solutions also provided.

PowerPoint including triangle labelling conventions, SOHCAHTOA, exact trig values, bearings and angles of elevation/depression. A convenient set of key points that can be drip-fed to students as you progress through the topic, and printed (8 or 9 pages to a sheet works well) as a reference handout at end of topic.

Interactive PowerPoint for GCSE Maths: covers translation, reflection, rotation and enlargement. Works best when projected onto a whiteboard (not necessarily an interactive one) but can also be viewed/used on screen by individuals. New improved version (Oct 2017) includes enlargement with negative scale factor, invariant points and an accompanying worksheet (in both Word and PDF format). There are two versions of the PowerPoint: the (editable) original and a slideshow version (identical in content) suitable for upload to your VLE for student use. May 2018 - error on first diagram (a discrepancy from the slide it was supposed to match) on worksheet corrected. Apr 2020 - added vertical and horizontal arrows to make angle of rotation easier to see.

Resources for the often-overlooked topic of Rates of Flow are few and far between, so I made my own. It contains two scaffolded examples and a set of practice questions, with answers provided. Also included is a copy with the scaffolding filled in and full worked solutions provided for the practice questions.

Updated 28/3/18 A pair of PowerPoints covering all the Foundation and Higher content for GCSE trigonometry. (No 3D work though.) Foundation PPt starts with a brief recap of labelling conventions and Pythagoras, then covers SOHCAHTOA in some detail, including exact trig values (for acute angles only), and gives a brief introduction to bearings and angles of elevation and depression. Higher PPt starts with a brief recap of labelling conventions, Pythagoras (including distance between two points, linking to straight lines) and SOHCAHTOA, then goes on to cover exact trig values for special angles (including using the graphs to find different angles with the same sin/cos/tan), area of a triangle (from 2 sides & enclosed angle), sine rule and cosine rule. The Higher PPt could also be useful for the early parts of trig at A-level. Page/exercise references are to the Elmwood Higher GCSE Maths 4-9 book (which is about half the price of the better-known text books and in my opinion just as good), but can easily be replaced/removed.

Year 1 PowerPoint explains where the formula for differentiation from first principles comes from, and demonstrates how it’s used for positive integer powers of x. Ends with some questions to practise the skills required (solutions provided in a separate PDF file as well as on the last two slides). Year 2 PowerPoint covers differentiation of sin x and cos x from first principles.