Pupils learn about money and get the chance to design their own coins. Practices simple skills with money and deicmals, and gets them thinking about currencies in general with some extension questions. This activity is inspired by the Scottish Independence Referendum of 2014.

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

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.

Three Powerpoints with simple questions on percentage change finding a percentage -percentage increase or decrease with extension questions on reverse percentage Edit: added another powerpoint of mixed questions, a summary sheet, and a worksheet

This is a thought provoking activity about how many variables are needed to describe a shape. For example, if you don’t care about size, rotation or position all squares are the same. To define size, one variable is needed. To define rotation, one variable is needed. To define position in the 2D plane, two variables are needed. So to fully define any square requires four variables. There are many possible different choices for these four. (Updated 2023)

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

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’.

Questions and solutions on linear regression: AH Statistics Linear Regression Questions - estimating the value of r, then calculating all of the information by hand from the table of values. Full solutions included. AH Statistics Regression.pdf - harder questions testing some theoretical topics AH Statistics Confidence and Prediction Intervals for Regression - questions AH Statistics Hypothesis Testing in Regression Analysis - longer explanation and questions on the beta and rho tests AH Statistics Linear Regression Running Times - a Paper 1 style practice question AH Statistics Regression FlowChart - a suggested order in which to approach bivariate data (data with two variables), starting with approximate methods and checking the validity of the model as you go.

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

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 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.