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 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 bumper set of numeracy questions, all with full solutions. Arranged in roughly increasing order of difficulty. Numeracy Assessments: #1 - Types of Number, Negatives, Fractions (55 marks) #2 - Mostly fractions (100 marks) #3 - Fractions, Negatives, LCF/HCM and some algebra (50 marks) #4 - Fractions, LCM, HCF, Algebra, Negatives, Multiplication, Percentages (40 marks) #5 - Fractions and Percentages #6 - Fractions and Percentages Numeracy Practice Tests: #1 - BOMA, Negatives, Decimals, Units, Area & Perimeter #2 - BOMA, Negatives, Decimals, Units, Area & Perimeter, Fractions Factors & Multiples #3 - BOMA, Negatives, Decimals, Fractions, Factors & Multiples, Long Multiplication Numeracy Practice Questions: #1 #2 - Negatives, algebra, fractions, percentages, Pythagoras More Practice Tests #1 - Fractions, Decimals, Percentages Pythagoras #2 - Fractions, Decimals, Percentages Pythagoras, Rounding #3 - Fractions, FDP, Pythagoras #4 - Fractions, FDP, Pythagoras, Algebra #5 - Fractions, FDP, Pythagoras, Algebra #6 - Fractions, FDP, Pythagoras, Percentages, Algebra #7 - Ratio, Substitution, Indices, Fractions, Percentages, Equations, Brackets, Inequalities #8 - Ratio, Substitution, Indices, Fractions, Percentages, Equations, Brackets, Inequalities #9 - Ratio, Substitution, Indices, Equations, Brackets, Inequalities, Statistics #10 - FDP, Pythagoras, Percentages, Algebra #11 - FDP, Pythagoras, Percentages, Algebra #12 - FDP, Pythagoras, Percentages, Algebra #13 - Pythagoras, Algebra, Circles (Calculator) #14 -Algebra, Circles, Angles #15 - Prime Factorisation, Angles, Fractions, Rounding, Forming and Solving Equations #16 - Prime Factorisation, Angles, Fractions, Rounding, Statistics, Area and Perimeter #17- Percentages, Angles, Circles, Solving Equations, Statistics, Function Notation, Area #18 - Angles, Circles, Function Notation, Pie Charts, Bar Charts #19 - Numeracy, Angles, Function Notation, Statistics, Pie Charts #20 - Numeracy, Angles, Functions, Statistics, Pie Charts #21 - Numeracy, Equations, Regular Polygons, Angles, Pie Charts #22 - Numeracy, Equations, Regular Polygons, Angles, Pie Charts (Calculator) More practice Mixed Harder Numeracy.pdf Mixed Numeracy Practice.pdf Numeracy Extended Test.pdf

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

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.

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.

Questions on the following topics: Direct and Inverse Proportion Reciprocal Graphs Nth term of linear or quadratic sequences Circle Theorems Probability Trigonometry Modulus function These are particularly aimed at Scottish pupils as these topics aren’t included in the Scottish syllabus.

A set of 13 practice assessments covering all aspects of the National 5 Course. Each one is laid out with space for write-on answers, and provided with solutions. Edit: Added assessments 14-17

Three worksheets for pupils to become familiar with using a TI82 (or similar) Graphics Calculator. Calculator Guide. Explains how to do Basic Navigation, Basic Maths, Statistical Distributions and Statistical Tests. Calculator Practice. Some practice questions to be solved by Graphic Calculator. Solutions at the end. TI82 Stats Calculator Questions. A Powerpoint with some more practice

An investigation into how many people can fit in a room while keeping two metres apart. There are three main spacings: square (the first one you think of) hexagonal irregular This is an interesting read for those mathematically minded

A powerpoint with one question - exploring why going from 20 to 25 is not the same as going from 25 to 20.

A fascinating activity encouraging pupils to think about 'Fixed Points', things that stay the same when there is a change. For example, in the doubling function 0 is a fixed point as doubling keeps it the same. These fixed points have surprising applications, including the amazing result that if you scrunch up one piece of paper and put it on top of a flat identical piece, at least one point is in the same place! Pupils are guided along with a presentation with things for them to think about along the way. Some of the language is GCSE level but the ideas are applicable for all ages.

A powerpoint presentation to introduce the idea of functions having 'fixed points'. For example, the fixed point of f(x) = 2x - 5 is when x = 5. Goes on to talk about 2D fixed points, before finishing with a riddle that can be solved by thinking about fixed points.