A series of statistics questions that cover everything that might be needed for an Advanced Higher Geography project. Largely overlaps with Advanced Higher Statistics. Topics included are: Descriptive statistics (mean, median, mode, range, interquartile range, standard deviation, standard error, coefficient of variation) Inferential statistics (chi-squared) Linear regression Nearest Neighbour analysis Full solutions at the end.

An example of using Venn Diagrams to categorise the numbers from 1 to 20 as either even or prime. Included is Powerpoint Video explanation

Two resources about the Poisson Distribution A Powerpoint that contains everything you need for the Poisson distribution recap of the properties of the Normal and Binomial distributions (to avoid getting them mixed up) examples of situations with Poisson distributions solving small problems using the Poisson formula solving medium problems using a data booklet solving large problems using a normal approximation analysis of the assumptions involved in a Poisson distribution summary of the properties of the Poisson distribution An extra page of questions with solutions at the end

Some resources to help understand the normal approximation to a binomial distribution. A Powerpoint investigating when a Binomial distribution is close to a normal distribution, and also a video commentary of the Powerpoint. We find that if the sample size is too small (or too skewed) then the normal approximation is good. Specifically, we want np>5 and nq>5. A couple of worked solutions to example problems, in video form

A Powerpoint with questions and answers, alongside video solutions. The following questions are solved for a normally distributed population: probability of being above a certain value probability of being below a certain value probability of being between two values Final answers are found using a data booklet (specifically the one for Advanced Higher Statistics in Scotland) Also included ‘AH Statistics Normal Distributions with Phi Notation’ which shows how the number of standard deviations above or below the mean leads to a probability. Normal distribution short questions

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

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

A series of worksheets on the following topics. The first three are easier (age 11/12 or S1 in Scotland), the second three harder (age 12/13 or S2 in Scotland) #1 - algebra, percentage, area, perimeter, indices, primes #2 - fractions, substitution, negatives, percentages, Pythagoras, rounding, area #3 - simplifying, polygons, substitution, percentages, rounding #4 - algebra, sequences, volume, percentages, ratio, DST, standard form #5 - angles, area, percentages #6 - fractions, angles, polygons, Pythagoras, area, volume, circles Included with solutions

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

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.

A chance for pupils to learn what mathematicians really do: they pick a mathematician from the list and are then guided through a very simplified version of their work. The aim is that pupils learn about a mathematician but also do some real maths! The file Modern Mathematicians.pdf lists all the options, then there are 25 separate tasks to look at. Suggested answers also included.

Is every square a rectangle? Is every rectangle a square? An investigation into the properties of the quadrilaterals, working out their properties and which ones are similar. Includes a look into Venn Diagrams and a couple of area challenges at the end. Notes and answers at the bottom of each slide.

Questions on the volume and surface area of a cuboid, cylinder, prism. Includes changing units between cubic centimetres and litres. Includes one worksheet with answers and a follow-up worksheet too. Edit: added summary sheet and another worksheet

Practice ratio questions on simplifying ratios dividing a sum ratio problems Extension problems included too, and answers. 2021 - added a ratio homework with answers

A page of questions on the following substitution expanding brackets inequalities forming and solving equations Solutions included Edit: added a Powerpoint of similar questions Edit: added a further dense page of questions

A challenging investigation encouraging pupils to think about some 3D geometry problems, using their skills with Pythagoras, including looking at edges and faces. Four separate challenges, all with solutions at the end.

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

How should you stack blocks to get the maximum overhang? This can be viewed as a centre of mass problem. This worksheet takes you through questions to learn about a good solution, then explores some alternatives.

Four worksheets with questions covering the maths required for Advanced Higher Mechanics (partial fractions, differentiation, integration). These topics are also included in Advanced Higher Maths so could be useful for that too. Update - added 2022 practice questions and a practice test. All with solutions.

If everyone has to keep two metres apart, how many people can you fit in a room? This is a series of five challenges, each involving a room more difficult than the one before. Although it is not obvious to begin with, pupils will need to use Pythagoras to check that their people are all at least two metres apart. Full solutions included.