A problem solving project where pupils use Pythagoras to find how far away the horizon is, depending on your height about sea level. This is an open-ended project, where rather than being given all the information up front the pupils have to work in groups to explore the problem, then reflect on what techniques were effective. It practices several useful skills such as Pythagoras, circle geometry, expanding brackets and rearranging formulas. There is the scope for very good pupils to extend the project in interesting directions.

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 variety of resources for pupils to master Excel. Starts with a simple introduction then moves on to using it to run statistical tests. Although this isn’t part of the syllabus it’s useful for pupils to be able to check their answers, and learn some useful skills. AH Statistics - Simple Activities to learn Excel AH Statistics - How to draw a graph in Excel AH Statistics - Excel AH Statistics - Excel (solutions) AH Statistics - More Excel

A series of practice questions on the following converting between improper fractions and mixed numbers adding, subtracting, dividing and multiplying fractions converting between fractions, decimals and percentages Included with answers Edit 2022 -added More Fractions Powerpoint and PDF

A fun lesson with shapes for pupils to cut out and reform. Everyone should have fun with this. Although even young children can understand dissection it hides complicated mathematics in geometry in proof. The dissections to try here are: - A rectangle into a square with one cut - A vase into a square - An equilateral triangle into a square - A 8 by 8 square into a 13 by 5 rectangle (!) - A couple of miscellaneous shapes - An approximate dissection of a circle into a square

Worked examples and questions on these four topics: Substitute values into expressions and evaluate Multiply two brackets Solve inequalities Create and solve inequalities for problems in words Solutions included

This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition. These puzzles are challenging and give the scope for comprehensive answers. Full solutions included.

This is Power Point and practice questions to get pupils comfortable with subtracting a negative number. Rather than just stating that “it’s the same as adding” they will learn to do this instinctively, by thinking about temperature. Full solutions provided.

A Powerpoint with questions and answers, alongside video solutions. The following binomial questions are solved: finding exact probabilities using the formula finding more than or equal probabilities using hte data booklet solving large problems using the normal approximation

Two Powerpoints of quick quiz questions on the topics of maths and mechanics. I use this for end of term competitions and general revision.

Four worksheets with questions covering the maths required for Advanced Higher Mechanics (partial fractions, differentiation, integration). These topics are also included in Advanced Higher Maths so could be useful for that too. Update - added 2022 practice questions and a practice test. All with solutions.

Two resources about the Poisson Distribution A Powerpoint that contains everything you need for the Poisson distribution recap of the properties of the Normal and Binomial distributions (to avoid getting them mixed up) examples of situations with Poisson distributions solving small problems using the Poisson formula solving medium problems using a data booklet solving large problems using a normal approximation analysis of the assumptions involved in a Poisson distribution summary of the properties of the Poisson distribution An extra page of questions with solutions at the end

Four probability resources: Conditional Probability with tree diagrams, Conditional Probability with Venn diagrams, Conditional Probability with Set Notation, Deadly disease probability question A short video explaining how to solve a conditional probability problem using tree diagrams. A video using a Venn Diagram to determine if the events are independent, mutually exclusive, and calculate some conditional probabilities. This is done alongside calculating with a table. Practice questions with solutions using Set Notation A classic question on probability with a rare disease

This resource is designed to give pupils much-needed practice on where points move after a transformation, for example: Where does the point (2,4) on the graph f(x) appear on the graph 3f(x)+1? The first questions are basic practice then pupils look at progressively more complicated graphs, including some practice finding the turning points and range and domain. Provided with solutions.

A short guide for how to create a Google Survey, which I have been using for pupils to fill in their exam feedback.

A worksheet investigating different coins, and using them to add up to different amounts. Starts easy, then challenging at the end. Practice for arithmetic, dealing with decimals, and basic numeracy. Full solutions included. Now includes accompanying Power Point which revises lots of the same skills.

This is two worksheets practicing some important basic skills. The first worksheet is powers of ten and multiplication. The second worksheet introduces two-step multiplication (e.g. multiplying by 20 is ×2 and ×10) and division. Full solutions included.

A bumper set of revision questions on the topics of sequences, functions, logarithms and circles, presented in the style of a ‘clinic’ where pupils can get help for their medical maths problems. When I last used this for revision I printed each one in A3 and put them on tables for pupils to attempt in groups. **Update ** A colleague has written out full solutions which I’ve now added. Correction #1: Sickly Sequences Q4 the first sequence definition should end ‘+2’ instead of '-2’ Correction #2: Vicious Circles Q4(a) the tangent line should be ‘2x+3y=0’

A series of worksheets on the following topics. The first three are easier (age 11/12 or S1 in Scotland), the second three harder (age 12/13 or S2 in Scotland) #1 - algebra, percentage, area, perimeter, indices, primes #2 - fractions, substitution, negatives, percentages, Pythagoras, rounding, area #3 - simplifying, polygons, substitution, percentages, rounding #4 - algebra, sequences, volume, percentages, ratio, DST, standard form #5 - angles, area, percentages #6 - fractions, angles, polygons, Pythagoras, area, volume, circles Included with solutions