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.

A fun challenge to try and work out the maths behind the fact that a dog will take the optimal path into a river to get a ball. Needs knowledge of visualising 2D motion distance speed time finding the minimum of a quadratic Provided with solutions

Practice questions covering Western Electric Rules Determining if a system is in statistical control Calculating upper and lower control limits Working backwards from limits to finding standard deviation or sample size Finding the probability of a rule being broken Provided with solutions

Revision resources targeting a particular area of the course. Each consists of a set of questions and full solutions. Chi Squared Distributions Mann Whitney Probability Regression Sampling Z and T Tests

An introduction, with simple questions on each of Distance, Time and Speed, then mixed questions. Full solutions provided.

A fun activity to solve numeracy problems in a team. Two difficulties and full solutions provided.

This is a series of questions aimed at making pupils more comfortable with dealing with formulas with fractions in them. I made this worksheet in response to a very bright class who had no problems with most formula but struggled rearranging fractions. Full solutions included. Edit: added another powerpoint of more questions

A fun activity to practice using simple tally marks, investigate a few other systems, then make up their own. Works especially well with low-ability classes, who all like making up their own tally systems.

A series of fun challenges working out what comes next. Some are mathematical, some require more lateral thinking. Good as an extension activity. Full solutions provided.

A fun activity looking at number and letter palindromes. Works well for homework. Full solutions included.

This is a series of tricky challenges to complement usual class work, using a full range of maths skills: - trigonometry - simultaneous equations - algebra - fractions - area - logic Can be used as extensions or homework. Full solutions included.

This is four different whole class activities practising times tables. There are four versions of the same game, with increasing difficulty: - easy multiplication, up to 7 x 7. - slightly harder multiplication, up to 8 x 8 or 9 x 7. - all multiplication up to 9 x 9, with few easy questions - all multiplication up to 12 x 12.