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.

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 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 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 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.

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.