A teacher-led Powerpoint investigation into randomness to be done at the end of a topic about probability. The five short topics are Pick a random number Heads and Tails experiment Lottery Random numbers Digits of Pi What is randomness? The aim is for pupils to understand that ‘random’ isn’t truly random after all!

These two activities extend from 3 by 3 to 4 by 4 magic squares. Pupils design an individual magic square then search for groups of four numbes that add up to 34 (there are lots). Good practice with simple addition and subtraction strengthening number bonds, then for more advanced pupils using algebra to get a more general solution Edit: Added a bank of more 4 by 4 magic squares that pupils can use to find more groups of 34

Two worksheets, testing basic probability with dice, coloured balls and letters. The second worksheet is more difficult and introduces sampling with and without replacement. Full solutions included. Edit: May 2023 fixed question numbering Edit: July 2024 added a Powerpoint for finding the probability with two events, explaining when to add and when to multiply the two probabilities

A Powerpoint with the classic Monty Hall Problem, then variations with a multiple choice questions one hundred doors ten prisoners Solutions in the notes at the bottom of the Powerpoint slides

A Powerpoint introducing the following tricky problems for pupils to think about. -99 Coins 100 Seats on a Plane Special dice Expected wait time Pascal’s Wager Solutions in the notes at the bottom on the Powerpoint See also my resource on Monty Hall Problems

A Powerpoint introducing the basic game of Dobble, then delving deeply into how to arrange the symbols on the cards so that each pair of cards matches exactly once. Pupils will be able to make their own mini Dobble sets, with 7, 13, 21 or even up to the full 55 card set. This introduces uses the following areas of mathematics 2D geometry of lines and planes Magic squares and Latin squares

Duality is an important concept in understanding mathematical problems. Sometimes a problem can be ‘reveresed’ by considering it’s dual, for example swapping around lines and points in a triangle. This Powerpoint looks at how duality appears in the following contexts division and subtraction 2D shapes and 3D shapes 2D graphs including the Fano Plane

Magic Squares are just the beginning! A Latin square is a grid where each symbol appears exactly once in each row a column - recognisable to most pupils as being like a Su Doku. This resources extends that idea to look at double and further Latin Squares. These are useful for many things (see e.g. my other resource on Dobble)

A colourful poweroint introducing a new idea for most pupils. In standard 2D geometry parallel lines never meet. In projective geometry we add an extra point (infinity) where the lines meet. This turns out to be useful for various problems (e.g. see my other resource on Dobble).

Practice in forming and solving simultaneous equations. We often talk about equations being 'in balance' and 'doing the same to both sides'. This worksheet makes that visual idea very obvious to pupils as they are presented with a series of balanced seesaws with animals on them. Each pair of seesaws leads to a pair of simultaneous equations, which can then be solved in the usual way, to find the weight of each animal. Provided with solutions.

A set of revision questions involving bearings and then bearings with trigonometry - something pupils usually need a lot of practice on. Edit: added solutions October 2024

This is four different whole class activities practicing 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.

This is a free-standing resource on simple fractions. It involves questions like 1/4 of 20 up to things like 3/7 of 14. It's taken from a Murder Mystery Package I wrote hence it includes a small riddle element at the end. There are two levels of difficulty (A is easier than B) that both have the same solution. Full solutions included.

A set of Powerpoints revising all aspects of National 5 Mathematics. Useful for extended lesson starters or exam revision. These are the Powerpoints N5 Calculator Revision N5 Non-Calculator Revision N5 Topic by Topic Revision N5 Mixed Revision Set A N5 Mixed Revision Set B N5 Mixed Revision Set C (Harder) All provided with answers. Edit: Nov 2024 updated answers in Non-Calculator Revision