Mixed resources covering the difficult topic of proof (contrapositive, proof by induction, direct proof and counterexample). Includes proof by induction questions, a Powerpoint with slides of questions, and a bank of other questions.

A short guide for how to create a Google Survey, which I have been using for pupils to fill in their exam feedback.

A series of two part problems in the style of exam questions. Part (a) of each question is a proof using the trig identities. Part (b) then uses that proof to either solve a trig equation, find an integral, or differentiate to find the equation of a tangent. Answers given at the end.

A series of increasingly difficult problems involving solving Trig Equations, in radians. Begins with sin x = 1/2, then builds in double angle formulas and trig identities. Answers given at the end.

A series of questions testing - sine rule (missing side and missing angle) - cosine rule (missing side and missing angle) - area of triangle using 1/2 ab sin C - bearings (with sine rule and cosine rule) Solutions provided. 2021 - added second set of questions on Bearings and Trigonometry, and a bearings homework

Six challenges showing where Pi turns up unexpectedly Easy (Secondary School) - Simplifying fractions, Square root of two Medium (GCSE level) - Fibonacci numbers and area of polygons Hard (A level) - Probability theory, Area of a circle

Some infinite sums that (if you go on long enough) add up to Pi. Pupils can try these with a calculator and see how far they get. More advanced pupils can think about which one converges the fastest, and why

Powerpoints with two example timetables (Glasgow to Belfast and Glasgow to Cornwall) and accompanying questions

A Powerpoint with some introductory distance-speed-time questions, then an activity for group work: Each group is travelling from Glasgow to London via a different method of transport - plane - train - car - coach - cycle -walk

Four different homeworks for this SQA course, covering all of basic statistics. Each is included with full solutions, including Excel work.

Extra resources for this SQA Course. Students will learn how to use Excel and then analyse some simple data with it. Suitable even for complete Excel beginners.

Extra resources for this SQA course: - a guide to conducting six experiments and some example data - a guide to hypothesis tests including Excel spreadsheets to work on - some example experimental data and the output of applying statistical tests to it

These notes complement my Course Notes for this SQA course. They include more further examples, more complicated statistical tests and links to Excel for examples.

These are extensive notes that I have made to teach this SQA Course. Includes many example questions and follow ups on Excel. I’ve also included here a course outline, essential exam skills and a practice exam with solutions. *Updated 2020 to have Course Notes for pupils (with spaces for answers) and Course Notes for teachers (answers filled in) *Updated 2022 with corrections

Everyone knows the quadratic formula, but what happens when pupils ask about a formula for solving cubics? A formula does exist, but it's a bit more complicated. It's given here, as a simple formula and also explained with an example.

A set of five challenging questions testing the link between length, area, and volume scale factor. Full solutions provided. These questions were created by my pupils, so have a relatively real life context!

Tips, questions, and solutions covering the following topics: Sequences, Lines, Circles, Vectors, Logs, Polynomials and Functions. Edit: Added 2023 exam tips

An Excel simulator does twenty samples each flipping a fair coin one hundred times. Each sample generates a confidence interval for the mean number of heads. On average, 19 out of the 20 confidence intervals will include the true mean of 50 heads, This simulation can be run many times (by pressing F9) and each time a new graph visually updates, showing how confidence intervals work. The number of flips and the probabilities can all be changed too.

A collection of misleading graphs, for pupils to recognise the flaws with. These are all taken from real life publications.

A series of questions to demonstrate similarity between similar rectangles and triangles, including more complicated diagrams with multiple triangles Solutions included at the bottom of each slide, and extra practice questions at the end. Edit: added some 3D examples Edit: added summary sheet