A set of six challenging problems where pupils must use all the digits 1-9 exactly once each, for example: Find two three-digit numbers that sum to another three-digit number Solutions provided.

Two pages of Powerpoints with answers on simple questions like If f(x)=3x+4, find f(5) Then tests fractions and negatives, and finally more difficult questions like If f(x)=3x+4, and f(a)=19, find a

A Powerpoint with five routine questions on Integrating factor. Provided with answers.

A set of five harder problems about finding the mean which involve pupils using the fact that the total is the number of data points times the mean (or using algebra). Provided with solutions.

Two extra tasks for pupils doing the Higher Statistics Module. Task 1 is using Excel to analyse some Covid infection data using regression analysis. This has example solutions inline. Task 2 is conducting a survey . Included are example model 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

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

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

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 Powerpoint of Pythagoras questions covering the following topics: Squaring and square rooting Solving the equations that result from Pythagoras equations Finding long and short sides on triangles(with and without a calculator) ‘Double Pythagoras’ with two applications 3D Pythagoras with a space diagonal Distance between co-ordinates Converse of Pythagoras Answers at the bottom of each slide

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.

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 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 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 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 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 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