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.

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.

A series of questions to demonstrate similarity between similar rectangles and triangles, including more complicated diagrams with multiple triangles Solutions included at the bottom of each slide, and extra practice questions at the end. Edit: added some 3D examples Edit: added summary sheet

A set of resources for whole class bingo. All the questions are pretty easy. Covering these topics: - decimals - fractions - money - whole numbers - coins (more money)

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 Power Point presentation investigating the not-so-obvious question of where the centre of a triangle is. Useful to revise and motivate some of the line work in e.g. Higher Maths Starts with the centre of other shapes (e.g. circle - easy) before introducing the main candidates for the centre of a triangle. These are where the medians, perpendicular bisectors, and altitudes meet. But there are also many other centres. And what about quadrilaterals, or 3D shapes?

A problem solving scenario to combine skills, useful for revision and group work. The skills tested here are: • Parabolas (completing square, turning points, sketching, factorising) • Rounding to significant figures • Bearings • Area of sector and arc length • Area of triangle, sine rule, cosine rule • SOH CAH TOA • Pythagoras • Vectors • Lines • Percentages Pupils will also need good communication skills and teamwork (if working in groups). Provided with teacher notes and full worked solutions.

A fast paced relay testing understanding of ratio in unusual and interesting situations. Print out multiple copies of the questions (ideally laminated) and get each pair of pupils started on a copy of Question One. Once they bring you the right answer to that, given them Question Two and so on. All answers should be fully simplified.

A fun activity to do alone or in pairs. Tests simple fraction skills (adding, simplifying, some equivalent fractions). Solution provided. Based on an original by eam_larkin.

Six classic maths problems from the 1150 AD book called Lilivati, each presented as a poem and with a short story to introduce the book. All of the problems involve forming and solving equations, and they also practice: - simultaneous equations - adding and multiplying fractions - square roots - Pythagoras Full solutions included.

A collection of typical Proof By Inductions, around 100 in total. Very useful as a teacher if you are looking for examples to use. Includes all the main categories plus a few unusual ones. They are grouped by category: Divisibility, Greater Than, Summation, Recurrence Relationships, Matrices, Calculus, Fibonacci, Miscellaneous, Geometry, Important Theorems, Extensions and Paradoxes Includes sources for even more example proofs.

Two sets of questions and solutions on - units of measurement - area of rectangles and triangles - perimeter of rectangles - simple compound shapes Edit: added page of challenge questions

A fun crossword to be done alone or in pairs. Tests easy algebra (simplifying and brackets). Solution provided. Based on original by eam_larkin.

A simple worksheet with practice reading scales that go up by different amounts. Answers included.

A PowerPoint with two real-life examples of Hire Purchase questions. Now with answers on the Power Point.

These are the course notes I have been using for the last few years to teach Advanced Higher Statistics. I wrote them myself, based on the SQA course description, and have included lots of examples. Included in this bundle AH Statistics Course Notes AH Statistics Formulas to Memorise (A list of all the important facts that need to be remembered for Advanced Higher Statistics, that are not in the formula sheet) AH Statistics 150 Quick Questions (A set of short questions covering all aspects of the Advanced Higher Statistics Course) AH Statistics 14 Tests (A revision resource giving a summary of the 14 hypothesis tests in the course:) AH Statistics Course Summary (Short questions on each aspect of the course and links to the place in the SQA Course Specification) All included with full solutions. If you spot any mistakes please let me know. Last update: March 2023

An introduction to Game Theory that I gave to a class of smart 16 year olds. Introduces the idea of a game, and gives some examples of simple two player games and up to zero sum games. Some fun examples of games you can play in class!

A series of worksheets covering all aspect of rounding. - money, rounding to the nearest pound/kilogram/penny - rounding to the nearest 10,100,1000 - using rounding to approximate answers - using rounding to approximate on more difficult problems Full solutions provided to worksheets.

A problem solving scenario to combine skills, useful for revision and group work. The skills tested here are: • Working with surds • Finding the area of a sector • Finding the length of an arc • The distance between points in 2D space (Pythagoras) • Dealing with scale factors • Meaning of parallel and perpendicular Pupils will also need good communication skills and teamwork (if working in groups). Provided with teacher notes and full worked solutions.

A set of revision questions involving bearings and then bearings with trigonometry - something pupils usually need a lot of practice on.