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

A series of 17 one-page handouts each with explanations, examples then questions. Covers Numbers, Negatives, Fractions, Percentages, Algebra. For lower ability classes I print these out and they stick them in their jotters. The topics are: Types of Number, Factors, Powers, Prime Factors, Negatives adding and subtracting, Negatives multiplying and dividing, Fractions of an amount, Equivalent fractions, Mixed numbers, Multiplying and Dividing fractions, Adding and subtracting fractions, Finding percentages, Fractions decimals percentages, Substitution, Multiplying Brackets, Simplifying, Solving Equations)

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

An interactive Who Wants to Be a Millionaire game focused on numeracy questions. The questions near the end get very tricky! They are on the following topics - percentage, area, ratio, factorising, probability, volume, negative numbers, difference of squares, scale factors, angles, sequences, DST I normally do this with pupils writing their letters on mini-whiteboards before the right answer is displayed, and you can also do something with the lifelines if you like.

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 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

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.

A PowerPoint with some activities and help using this calculator.

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

A Power Point showing the most common 3D objects (technically 'shapes' refers to 2D, and 'objects' to 3D). Useful for an introduction or for revision, and in getting the correct vocabulary

Two pages of simplification, beginning easy (finding fractions equivalent to 1/2) and building up to more difficult questions (simplify 14/49). The aim is to highlight the similarity between finding equivalent fractions and simplifying, so pupils will recognise that they are really the same thing. Good for lower ability classes.

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

A worksheet with explanations then questions on radians. Includes converting to and from degrees.

Mixed percentage questions, on these topics - percentage change - repeated percentage increase or decrease - reverse percentage Edit: added another Powerpoint called ‘Harder Percentage with a calculator’

A worksheet and Powerpoint 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. Edit: added page of Pythagoras with a Calculator

A set of questions where pupils plot some points for a straight line, then identify the gradient and intercepts. Solutions included.

Some condensed notes for Advanced Higher Mechanics which include all the key formulas that pupils need to memorise. Edit Jan 2025: added Course Summary for Notice Board

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