There are two comprehensive worksheets here practicing basic skills with decimals. Pupils can work individually going through the questions as revision. Full solutions included.

A whole class activity to practise basic skills of adding and subtracting, multiplying and dividing. Three different difficulties.

A Powerpoint presentation I used to introduce a class of smart 16 year olds to some of the simple visual aspects of Topology, with plenty of pictures, strange facts, and links to videos.

A fun activity to practice learning about the straight line. Includes - drawing graph from data points - working out the gradient - working out the y-intercept - working out the equation of a line from the graph - using the equation to interpolate missing points Solutions included

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

Thirteen homeworks each with full solutions, covering the following areas of the course. 1 - Probability 2 - Probability, Sampling, Binomial 3 - Probability, Sampling, Binomial 4 - Binomial, Normal, Poisson #1 5 - Distributions 5a - Distributions and Regressions 6 - Hypothesis Test 7 - Normal Approximation 8 - Control charts, Confidence Interval, Fences 9 - Mean and Variance 10 - Binomial, Normal, Poisson #2 11 - Z and T tests 12 - More Distributions 13 - Wilcoxon and Mann Whitney For some of the homeworks (2,3,5) I have made slightly different alternative versions and they are included too. Update: homeworks 2,5,7 updated March 2023

A rare chance to see the first ever use of an equals sign "for what could be more equal than two parallel lines" and therefore the first ever equation. Pupils can read the Olde English, translate it into modern equations, then solve them. The first two are linear, the remaining four quadratic. Provided with full solutions.

A problem solving project where pupils use Pythagoras to find how far away the horizon is, depending on your height about sea level. This is an open-ended project, where rather than being given all the information up front the pupils have to work in groups to explore the problem, then reflect on what techniques were effective. It practices several useful skills such as Pythagoras, circle geometry, expanding brackets and rearranging formulas. There is the scope for very good pupils to extend the project in interesting directions.

A variety of resources for pupils to master Excel. Starts with a simple introduction then moves on to using it to run statistical tests. Although this isn’t part of the syllabus it’s useful for pupils to be able to check their answers, and learn some useful skills. AH Statistics - Simple Activities to learn Excel AH Statistics - How to draw a graph in Excel AH Statistics - Excel AH Statistics - Excel (solutions) AH Statistics - More Excel

This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition. Although they are challenging, they can all be solved without using any advanced techniques. Full solutions included. Edit: Added two more puzzles

A set of multi-part questions covering both chi-squared test for association and goodness of fit A set of questions building up to using chi-squared to work out whether a Binomial or Poisson distribution fits the data Both provided with full solutions.

15 numeracy questions of increasing difficulty. Multiple copies should be printed out (one-sided) and each team starts on Q1. When they bring you the answer to that they get Q2, and so on. Topics covered: percentages simple algebra angles in a triangle/quadrilateral time Included with answers.

A powerpoint with one question - exploring why going from 20 to 25 is not the same as going from 25 to 20.

A fun lesson with shapes for pupils to cut out and reform. Everyone should have fun with this. Although even young children can understand dissection it hides complicated mathematics in geometry in proof. The dissections to try here are: - A rectangle into a square with one cut - A vase into a square - An equilateral triangle into a square - A 8 by 8 square into a 13 by 5 rectangle (!) - A couple of miscellaneous shapes - An approximate dissection of a circle into a square

Worked examples and questions on these four topics: Substitute values into expressions and evaluate Multiply two brackets Solve inequalities Create and solve inequalities for problems in words Solutions included

This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition. These puzzles are challenging and give the scope for comprehensive answers. Full solutions included.

This is Power Point and practice questions to get pupils comfortable with subtracting a negative number. Rather than just stating that “it’s the same as adding” they will learn to do this instinctively, by thinking about temperature. Full solutions provided.

A Powerpoint with questions and answers, alongside video solutions. The following binomial questions are solved: finding exact probabilities using the formula finding more than or equal probabilities using hte data booklet solving large problems using the normal approximation

Two Powerpoints of quick quiz questions on the topics of maths and mechanics. I use this for end of term competitions and general revision.

A collection of five nicely presented powerpoints each with 5-10 logic puzzles, taken from the books of Raymond Smullyan. For example: Knights always tell the truth and Knaves always lie. You meet two people. The first says “At least one of us is telling the truth.” What can you say about the two people? All provided with answers, and references from which Raymond Smullyan book they are taken from.