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.

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.

A Powerpoint of revision and a Worksheet of practice questions. Covers: mean standard deviation median interquartile range statements

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 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 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 Powerpoint slides and a worksheet revising Straight Line Identifying the equation from a graph Finding the gradient and equation from two points Finding a parallel line Vertical and Horizontal lines Sketching straight lines Solutions at the bottom of each Powerpoint

Two sets of questions (non-calculator and calculator) practicing Fractions -equivalent adding, subtracting, dividing, multiplying Order of Operations Highest common factor Prime factorisation Expressing as a percentage and finding a percentage Square roots, and cube roots and squaring Algebra - solving simple equations, simplifying, substitution Rounding to one decimal place Answers provided too.

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 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

This is an investigation to get pupils thinking about different units. The Power Point begins with an introduction, then a few questions to get pupils thinking about different units, and finishes by describing the investigation they should do, finding out more about one type of measurement and presenting their results.

A series of four worksheets to give some background algebra, do plenty of examples finding a limit, then for advanced pupils go on to find a general formula for a linear sequence. If you follow this through you will be able to instantly work out the value of the 50th term of u_n+1 = 0.4 u_n +3 (for example). The four worksheets are: - Indices (practice on this) - Algebra (rearranging formula) - Sequences (standard questions on finding limits, and graphing the results) - Investigation (putting it all together to get a general formula) All provided with full solutions.

Some revision questions on the topics my Higher Pupils found tricky this year log equations (e.g. cooling water, and algebra with logs) trig equations (algebra and wave equation) integration (polynomials and trig) There’s also a practice test which I took from somewhere and typed up solutions. I just used it as revision.

Two worksheets of questions, one written just before the 2016 US Election and one just before the 2020 US Election. The questions cover sampling, mean and variance, outliers, confidence intervals as well as some more thoughtful questions on the errors in sampling.

Two videos on the cosine rule: missing angle missing side And a third video: which one of Sine rule or Cosine rule to use? All the videos are compressed mp4

Explanations and examples of the key statistical concepts for the Cambridge STEP Mathematics entrance exam. Covers Basic probability Combinatorics Mean and variance Continuous probability distributions Uniform, binomial and normal distributions Hypothesis testing All with solutions to my questions and references for the past paper questions