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.

Bridge is a great card game that is played in pairs. It is similar to whist (with tricks and trumps) and requires four to a table. The attached booklets start with the very basics (e.g. dealing the cards) then teach the main concepts. Each booklet has a page of learning, then a short quiz, and so on. I have used these successfully at a school bridge club. Answer booklet included too.

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

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

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.

Two write-on practice tests for Higher Maths pupils on the following topics: Test #1 - Straight Line, Functions, Quadratics, Surds, Indices Test #2 - Functions, Graphs, Polynomials Both can be done with a calculator. With full solutions

A presentation and questions for pupils to consider what makes maths problems hard? They will then be better equipped to solve (and create) their own problems. The main way that problems are made more difficult are: - Make the numbers harder - Repeated application - Difficult vocabulary - Extra operation at start or end - Reverse the problem - Hide information in a story - Extraneous information

A simple powerpoint with all the different common words that indicate a pupil has to add (plus, together etc.) and all those that mean subtract (difference, change, etc.) Useful for pupils who struggle with questions with words in them. Aimed at CfE Level 1 (Scotland)

Some infinite sums that (if you go on long enough) add up to Pi. Pupils can try these with a calculator and see how far they get. More advanced pupils can think about which one converges the fastest, and why

A simple problem about inviting six people to a party - will there always be a group that know each other, or a group that are all strangers? An introduction to the idea of edges and vertices, in the form of a fun problem.

A fun Power Point about Rowan Hamilton's discovery of Quaternions. There are no actual formulas given here (just a hint that it's about 4D space), the point of the presentation is just that he had a brain wave while crossing a bridge and carved it into the bridge. Can be used with a junior class talking about 'inspiration' or a more senior class who know about complex numbers if you want to go into the actual equations of quaternions.

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.

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.

Extension questions testing numeracy, e.g. what are the prime factors of 1001 logic, e.g. how many false statements are in the list below: There is exactly one false statement in this list. There are exactly two false statements in this list. There are exactly three false statements in this list. Provided with answers

Four challenging problems as extension material. The first is to make the number 2021 from the numbers 10,9,8,…,3,2,1 in order. The other three are tough too! Solutions at the bottom of each slide.

A set of nine revision homeworks, including one for calculator and one non-calculator. Covers all areas of the National 5 Mathematics syllabus. All provided with solutions.