A series of four worksheets to progressively introduce pupils to the idea of adding and subtracting fractions by matching the denominators. Rather than just presenting it to them as a rule, they work through simple examples to gain an understanding of what is happening. I wrote this out of frustration with a poor class who simply didn't seem to understand how fractions worked, and although they could memorise a method, would then misapply it (for example, trying to add three fractions with them was a disaster, until they actually understood what they were doing)

A worksheet of simple maths problems aimed at 11+ year olds, which mostly involve fractions plus a bit of angles

A two page Power Point with questions revising arcs and sectors.

A one page Powerpoint using 3D coordinates to introduce how to find the distance from one corner to the opposite in a cuboid.

A worksheet of practice questions on everything to do with Higher Functions. domain and range max value of a function inverse functions tangent to a function showing a function is always positive sketch of a function differentiating a function quadratic inequalities

A write-on worksheet with 18 short questions revising exact values of trigonometry, Most questions simple e.g. sin(60) and also includes angles above 90 degrees, radians and a few questions on inverse trig. Solutions at the end.

A short Power Point explaining what VAT is, what you have to pay it on, and finishing with a question about Jaffa Cakes. Answers included on the Power Point.

Some easy questions as lesson starters. - Finding simple percentages, like 10% or 15% - Finding any percentage, like 23% or 92% - Finding percentage increases and decreases - Converting between fractions, percentages, decimals Answers included on the Power Point.

A PowerPoint with some activities and help using this calculator.

A PowerPoint with two real-life examples of Hire Purchase questions. Now with answers on the Power Point.

Proofs of some of the key formulas in Advanced Higher Statistics. Not required for the course but some pupils (and teachers) may find it interesting. proof the two ways of writing the variance formula are equivalent proof that using the ‘divide by n-1’ formula gives the best estimate of a population variance proof of Bayes Theorem proof of laws of expectation and variance proof of the origin of the Poisson formula, and of the mean and variance proof of mean and variance for uniform discrete proof of mean and variance for uniform continuous proof that using proportions and the normal approximation to a binomial are equivalent proof a line of best fit goes through the average point proof the line of best fit gives the least squares proof of SSR formula proof in bivariate analysis DF=n-2 proof test slope parameter nonzero and coefficient of correlation nonzero are equivalent

Building up and using the skills for Pythagoras: squaring square rooting short side long side mix of short and long side some word problems. Answers included at the end.

Some condensed notes for Advanced Higher Mechanics which include all the key formulas that pupils need to memorise.

A Power Point to (start to) answer the question of why we have 60 minutes in an hour. Wouldn't it be much easier if there were 100? Includes a few simple questions for pupils on finding fractions of 60.

Practice Questions on one-sample and two-sample versions of the following tests • z-test for a difference in population means • t-test for a difference in population means (including paired) • z-test for a difference in population proportions

At last! An explanation for why mathematicians like Radians. Divided into six categories Pi is great Rotation Speed Drawing Graphs Calculus Sine expansion Formula Spherical Trigonometry Includes short questions on each category

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

This is a series of questions that will guide pupils from thinking only in numbers to thinking algebraically. The questions are increasingly challenging, finishing with some that require a lot of thought and can be investigated further.

Several revision Powerpoints and mixed revision worksheets. Many topics covered but in particular Binomial Theorem, Complex Numbers, Partial Fractions, Euclid and Proof. All with either short answers or full solutions Includes topic-specific revision material on the following topics, as Powerpoints and PDFs. Binomial Theorem Complex Numbers Binomial Theorem and Complex Numbers Loci of Complex Numbers Matrices Number Theory Partial Fractions Indices (revision of easier material to help with binomial theorem) Sequences

These are the course notes I have been using for the last few years to teach Advanced Higher Statistics. I wrote them myself, based on the SQA course description, and have included lots of examples. Included in this bundle AH Statistics Course Notes AH Statistics Formulas to Memorise (A list of all the important facts that need to be remembered for Advanced Higher Statistics, that are not in the formula sheet) AH Statistics 150 Quick Questions (A set of short questions covering all aspects of the Advanced Higher Statistics Course) AH Statistics 14 Tests (A revision resource giving a summary of the 14 hypothesis tests in the course:) AH Statistics Course Summary (Short questions on each aspect of the course and links to the place in the SQA Course Specification) All included with full solutions. If you spot any mistakes please let me know. Last update: March 2023