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

A worksheet investigating different coins, and using them to add up to different amounts. Starts easy, then challenging at the end. Practice for arithmetic, dealing with decimals, and basic numeracy. Full solutions included. Now includes accompanying Power Point which revises lots of the same skills.

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’

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.

Some condensed notes for Advanced Higher Mechanics which include all the key formulas that pupils need to memorise.

A series of Pi Day resources aimed at GCSE / National 5 Level Homework is the easiest and features features: substitution, fractions, algebra, percentages, shapes, area Problems features: rearranging equations, simultaneous equations, volume of cuboids, Pythagoras. Revision is the hardest and features: radians, area, surds, area All with solutions included.

A set of three powerpoints with riddles on such as this: Clock A is broken. It never moves. Clock B loses 10 minutes an hour. If both clock are right at the very start of 2021, how often are they each right in the whole year? Provided with solutions at the bottom of each slide.

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.

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

A one page summary of the four different types of two sample tests: Mann Whitney Wilcoxon Z-test T-test Also extra questions on two sample z-tests for proportions

A set of practice tests all provided with full solutions. Some are whole course, some cover specific aspects of the course, some with self-assessments too. AH Statistics Past Paper Questions Test AH Statistics Practice Test 1 AH Statistics Practice Test 2 (full course) AH Statistics Practice Test 3 AH Statistics Practice Test 4 (Sampling, Prob, Binomial) AH Statistics Practice Test 5 (Data Analysis) AH Statistics Practice Test 6 (full course) AH Statistics Practice Test #7 (Distributions, Regression, CLT, Confidence Intervals, T tests) AH Statistics Practice Test #8 (Probability, Normal Dist, Wilcoxon, Mann-Whitney, Chi-Squared) AH Statistics Practice Test #9 (Probability, Sampling, Data Display) AH Statistics Practice Test #10 AH Statistics Practice Test #11 AH Statistics Practice Test #12 (t-tests) AH Statistics Practice Test #13 (no t-tests) AH Statistics Practice Test #14 AH Statistics Practice Test #15 (no non-parametric) AH Statistics Practice Test #16 AH Stats Practice Unit Assessments AH Stats English PPQ - Part 1 (Sampling, Prob, Mean and Variance, Normal Dist) AH Stats English PPQ - Part 2 (Binomial, Poisson, Conf intervals, Chi Squared, Mann Whitney, Wilcoxon, Regression) AH Stats Unit Assessments Edit March 2023: updated Practice Test 4 Edit: December 2023: added #14-15, Edit: March 2024: added #16

A series of six questions on the Mann-Whitney test, including dealing with ties and the normal approximation (the data in these questions is not mine and is taken from various sources). A Wilcoxon and Mann-Whitney homework Both provided with full solutions

Four sets of revision questions on the following topics - factorising straight line algebraic fractions. surds (including revision of vectors and straight line) Each question has four possible answers. Pupils could work in groups in class, or this could be used as homework, or anything else you can think of. Answer key included at the end of each set of questions.

First homework covering Integration (polynomials and simple trig, area between curves) Revision (functions, circles, trig graphs, sequences) Edit: added second longer revision sheet covering polynomials trig calculus Full solutions included

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 short Powerpoint on common confusions such as 6 and 0, s and 5, ( and c and so on. Pupils are made aware of the pitfalls, and given tips for how to avoid them.

Some not very exciting but essential practice, with increasingly difficult questions such as - 1/4 of 24 - two thirds of 12 - increase £20 by a fifth - find two fifths of £11 - decrease £9.99 by a tenth