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

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.

Three examples of how matrices can be used to solve real problems. Requires knowledge of matrix multiplication matrix inverses simple probability Aimed at Advanced Higher Maths but useful for anyone who wants to answer the question ‘what are matrices used for’.

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

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

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 series of practice questions on the following converting between improper fractions and mixed numbers adding, subtracting, dividing and multiplying fractions converting between fractions, decimals and percentages Included with answers Edit 2022 -added More Fractions Powerpoint and PDF

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

Four probability resources: Conditional Probability with tree diagrams, Conditional Probability with Venn diagrams, Conditional Probability with Set Notation, Deadly disease probability question A short video explaining how to solve a conditional probability problem using tree diagrams. A video using a Venn Diagram to determine if the events are independent, mutually exclusive, and calculate some conditional probabilities. This is done alongside calculating with a table. Practice questions with solutions using Set Notation A classic question on probability with a rare disease

This resource is designed to give pupils much-needed practice on where points move after a transformation, for example: Where does the point (2,4) on the graph f(x) appear on the graph 3f(x)+1? The first questions are basic practice then pupils look at progressively more complicated graphs, including some practice finding the turning points and range and domain. Provided with solutions.

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

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

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 bumper set of revision questions on the topics of sequences, functions, logarithms and circles, presented in the style of a ‘clinic’ where pupils can get help for their medical maths problems. When I last used this for revision I printed each one in A3 and put them on tables for pupils to attempt in groups. **Update ** A colleague has written out full solutions which I’ve now added. Correction #1: Sickly Sequences Q4 the first sequence definition should end ‘+2’ instead of '-2’ Correction #2: Vicious Circles Q4(a) the tangent line should be ‘2x+3y=0’

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.