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.

Some resources to help understand the normal approximation to a binomial distribution. A Powerpoint investigating when a Binomial distribution is close to a normal distribution, and also a video commentary of the Powerpoint. We find that if the sample size is too small (or too skewed) then the normal approximation is good. Specifically, we want np>5 and nq>5. A couple of worked solutions to example problems, in video form

A mixed collection of questions covering many major topics of National 5 of GCSE Maths, all with a fun theme of Colin the Caterpillar! Topics covered are: Indices, fractions, volume, quadratics, scattergraph, statistics, percentages Provided with full solutions.

A 4-page write on worksheet exploring basic symmetry and diagonals and other properties of 2D Shapes. Full Solutions provided.

A series of simple questions that I used over the Summer Holidays to prepare pupils for Higher Mathematics. Topics include - mixed arithmetic, negatives, algebra, fractions, algebra, surds, trigonometry, notation, indices, and some more complicated algebra

Mixed percentage questions, on these topics - percentage change - repeated percentage increase or decrease - reverse percentage

This is a free-standing resource on multiplying whole numbers It involves multiplications like 5 x 11 up to things like 3 x 11 x 11 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.

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 simple worksheet with many questions such as 'reduce £70 by 20%'

Two sets of worksheets with solutions on - writing numbers in words - adding and subtracting whole numbers - time intervals and 24 hour time - order of operations (BODMAS) - multiplication and division by e.g. 10, 200, 3000 - long multiplication - rounding with significant figures

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 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

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 six-page worksheet with hundreds of questions broken down into topics, with a key rule followed by practice questions. It starts simple with positive indices then covers all other areas. Topics are: - multiplying and dividing - powers of powers - numbers in brackets - numbers and letters - to the power zero and one - negative powers - square roots - fractional powers - fractional negative powers Provided with answers in the same document. I wrote this as I couldn’t find any other resource that takes pupils slowly through all the different types of question. Edit: added Indices Summary Powerpoint/PDF which I print out to give to pupils.

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

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).

This is a free-standing resource on multiplication (and addition) of decimals It involves multiplications like 4 x 0.64 up to things like 11 x 1.25 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. [Edit - following a comment by angelpax I've fixed the phrase at the end]

Mixed resources covering the difficult topic of proof (contrapositive, proof by induction, direct proof and counterexample). Includes proof by induction questions, a Powerpoint with slides of questions, and a bank of other questions.