If everyone has to keep two metres apart, how many people can you fit in a room? This is a series of five challenges, each involving a room more difficult than the one before. Although it is not obvious to begin with, pupils will need to use Pythagoras to check that their people are all at least two metres apart. Full solutions included.

A series of worksheets revising negative numbers. - addition and subtraction - subtracting negative numbers - multiplying and dividing - all operations, with fractions and decimals Full solutions provided.

Four different homeworks for this SQA course, covering all of basic statistics. Each is included with full solutions, including Excel work.

Tired of BODMAS? Try some exciting challenges! The first involves solving some problems and getting some letters, unscrambling them to find a city. Then you can make up your own. The second is dome tricky expressions. The third explores and unusual relationship between squares and cubes, which only works if you get your BODMAS correct.

This project gives pupils some real life houses from around the world to practice finding the area and perimeter of. The package includes an introductory Power Point then a series of tasks, culminating in designing their own shelter. Skills used: - Area - Perimeter - Units - Scale drawing - Budgeting Full solutions included.

A fun lesson that introduces Graph Theory through the example of Facebook. The Powerpoint introduces it and then the worksheet lets them practice. Key terms learned are: edges, vertices, degree, connected.

Six challenges showing where Pi turns up unexpectedly Easy (Secondary School) - Simplifying fractions, Square root of two Medium (GCSE level) - Fibonacci numbers and area of polygons Hard (A level) - Probability theory, Area of a circle

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

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

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.

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

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.

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.

Simple questions testing multiplication and division, starting easy then including decimals. Now with answers on the Power Point. See the (Premium) Numeracy Starter Questions #2 for more

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.

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.