The key to exam technique in mathematics is to solve each problem multiple times, using independent methods. You also want an independent check. Mathematicians hate to get things wrong! This presentation and activities will help your students from making mistakes.

A series of examples and questions on the following topics: Express a change in value as Percentage Calculate Compound Interest Reverse Percentage Change Appreciation/Depreciation by a Percentage Provided with solutions

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

A series of about 30 Power Points each with mixed starter activities testing basic numeracy of: - whole numbers - fractions, decimals, percentages - money - graphs - symmetry

This is an investigation for pupils to discover that the more sides you have on a polygon, the closer the area comes to that of a circle. In fact, using polygons was how people once estimated pi. Skills used - trigonometry - area - algebra - Pythagoras Full solutions included.

A booklet for pupils to fill in with practice questions on curve sketching, of trig graphs and log graphs. Includes translating graphs. Q1 & Q2 are taken from past papers. Q7 and Q8 are left blank for extra questions. Full solutions at the end.

Three resources: A Powerpoint with questions and answers, alongside video solutions. The following questions are solved: finding the mean of a sample finding the variance of a sample estimating population mean from a sample estimating population variance from a sample Mean and Varirance questions by P Benson for which I’ve written out solutions Expectation Algebra questions

Eleven fun questions based on the Scottish Advanced Higher Statistics course, also applicable to the English Statistics A level. Questions are on a Powerpoint and full solutions on a PDF. Topics covered include: conditional probability, regression analysis, confidence intervals, paired t-test, Poisson distribution, Binomial distribution, Chi-squared distribution, Continuous uniform distribution and Normal distribution. Edit: updated May 2023

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.