A fun introduction to units, converting between e.g. metres and centimetres. A starter activity, two pages of worksheet activities, and a challenge to find the amount of air in the room.

Two pages of tricky riddles, that will keep pupils busy. The second page is much harder than the first. Requires only simple mathematical ideas but lots of lateral and creative thinking. Solutions provided.

An investigation for pupils about the classic Four Colour Theorem. Some background and examples, then a chance for them to have a go at. Makes a change from the usual end-of-term colouring!

These are extensive notes that I have made to teach this SQA Course. Includes many example questions and follow ups on Excel. I’ve also included here a course outline, essential exam skills and a practice exam with solutions. *Updated 2020 to have Course Notes for pupils (with spaces for answers) and Course Notes for teachers (answers filled in) *Updated 2022 with corrections

A Power Point that includes questions on finding 10% (and 20%, 30% etc) and another one for 15%, 25%, 35% et cetera, Useful for teaching the topic or just for practice.

This is a free-standing resource on ordering decimal numbers. It involves ordering heights like 1.5 metres, 1.43 meters and 145 cm. 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 group activity to practice using bearings. Each group designs a route (choosing how many paces and how many bearings for each leg of the journey) then swaps with another group to see if they can follow the given route. Each group will need a compass (or compass app on phone).

A series of pictures of the same school (Mearns Castle in Scotland) taken from further and further away. For each picture pupils have to work out which is the correct scale.

An interactive Who Wants to Be a Millionaire game focused on numeracy questions. The questions near the end get very tricky! They are on the following topics - percentage, area, ratio, factorising, probability, volume, negative numbers, difference of squares, scale factors, angles, sequences, DST I normally do this with pupils writing their letters on mini-whiteboards before the right answer is displayed, and you can also do something with the lifelines if you like.

This is a free-standing resource on addition and subtraction of whole numbers. It involves additions like 12 + 29 or 145 - 56 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 simple one-page practice on finding the area of lots of circles given the diameter or radius. Later questions are just fractions of circles.

A series of increasingly difficult problems involving solving Trig Equations, in radians. Begins with sin x = 1/2, then builds in double angle formulas and trig identities. Answers given at the end.

Two Powerpoints for introducing and practicing standard deviation. Standard Deviation ‘What it Means’ introduces the idea of spread with some examples then gives the full standard deviation for pupils to practice. Standard Deviation ‘Practice Questions’ gives some examples for pupils to practice and full solutions. I’ve also included short versions of each Powerpoint as a PDF if you prefer to use these as handouts.

A series of questions testing speed calculations, which are the ones pupils find hardest in DST. Full solutions provided.

Three sets of questions revising: - Trig Graphs - Sine Rule, Cosine Rule and Area of Triangle (everything except trig identities) Plus an extra couple of questions as a Homework Edit: added some Powerpoint slides for revision Provided with full worked solutions

Three challenging homeworks for Advanced Higher Maths covering the following topics Proof by Induction (lots of this) Direct proof Proof by Contradiction Counterexamples Proof by contrapositive All provided with full worked solutions

This contains a dynamic introduction to Stem and Leaf diagrams, using a sort of game. There are then examples to be worked through in groups, and further practice questions to be attempted individually. All provided with answers and commentary.

A series of nicely presented questions each with some money coming in and some expenses. It's quite simple but gives pupils plenty of practice dealing with the terminology and some simple numeracy.

A series of three worksheets on solving equations. Covers all types of equations: Simple: n + 3 = 5 Multiple n: 2n - 3 = 5 Subtracting variable: 5 - 2n = 1 Tricky numbers: 31 + 3n = 5 Squares and roots: 30 – 2n^2 = 12 Brackets: 3(n + 2) = 11 Letters on both sides: 3(3 + n) = 4(n - 3) Now with solutions included. Edit: Added Powerpoint of two pages on same topic plus ‘Think of a Number’ problems

A worksheet with five real-life problems that require using very big or very small numbers - How far does the Earth travel in one second - How many Earth's fit in the sun - How long does it take for the Sun's light to reach us - How long does it take to get a radio signal to Mars - How many atoms are in the Earth These require a bit of other basic mathematical knowledge (e.g. area of circle) but mostly pupils are lead through each problem in stages. Full solutions included at the end.