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.

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.

A simple worksheet with practice reading scales that go up by different amounts. Answers included.

Everyone knows the quadratic formula, but what happens when pupils ask about a formula for solving cubics? A formula does exist, but it's a bit more complicated. It's given here, as a simple formula and also explained with an example.

Extra resources for this SQA Course. Students will learn how to use Excel and then analyse some simple data with it. Suitable even for complete Excel beginners.

A series of statistics questions that cover everything that might be needed for an Advanced Higher Geography project. Largely overlaps with Advanced Higher Statistics. Topics included are: Descriptive statistics (mean, median, mode, range, interquartile range, standard deviation, standard error, coefficient of variation) Inferential statistics (chi-squared) Linear regression Nearest Neighbour analysis Full solutions at the end.

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.

An Excel simulator does twenty samples each flipping a fair coin one hundred times. Each sample generates a confidence interval for the mean number of heads. On average, 19 out of the 20 confidence intervals will include the true mean of 50 heads, This simulation can be run many times (by pressing F9) and each time a new graph visually updates, showing how confidence intervals work. The number of flips and the probabilities can all be changed too.

A series of worksheets with practice questions on topics in the Advanced Higher Mechanics Course: - Centre of Mass, Energy, Freefall, Gravity, Momentum, Projectiles, Vectors, Work Energy & Power, Vectors Closest Approach, Circular Motion (including notes), SHM (including notes), mix of SUVAT/Kinetmatics/Vectors All with full solutions Updated Dec 2020

A collection of five nicely presented powerpoints each with 5-10 logic puzzles, taken from the books of Raymond Smullyan. For example: Knights always tell the truth and Knaves always lie. You meet two people. The first says “At least one of us is telling the truth.” What can you say about the two people? All provided with answers, and references from which Raymond Smullyan book they are taken from.

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’.

A fun activity to do alone or in pairs. Tests simple negative number skills (adding, subtracting, multiplying, dividing). Solution provided. Based on an original by eam_larkin.

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.

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

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

A mix of resources covering everything in National 3 Mathematics. This was originally written for Access 3 a couple of years ago, and so is roughly grouped by the three Units of Access 3. Covers things like fractions, decimals, percentages, money, time etc.

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 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.

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

Practice question on topics that pupils might come across when sitting extra maths tests for admission to Cambridge, Oxford, or some other universities. The topics covered are: Worksheet 1 - Trapezium Rule, Fixed Point Iterations Worksheet 2 - Equations, Proportion, Probaility, Riddles Worksheet 3 - Graphs, Logarithms Worksheet 4 - Inequalities, Necessary and Sufficient, Proof, Logic Worksheet 5 - Sine and Cosine Rule, Trig Identities All with full solutions. (See my other resource for all the STEP Statisitc questions)