What do you do when there's not enough information to solve a problem - or too much? This presentation and activities aims to teach pupils how to handle more difficult problems when it's not clear what to do. There are multiple examples from algebra, geometry and trigonometry.

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.

A Power Point showing the most common 3D objects (technically 'shapes' refers to 2D, and 'objects' to 3D). Useful for an introduction or for revision, and in getting the correct vocabulary

A collection of misleading graphs, for pupils to recognise the flaws with. These are all taken from real life publications.

A worksheet with four pre-printed distance-time graphs for pupils to interpret. Their answers should be sentences such as "go at 4 metres per second for 3 seconds, then pause for 2 seconds, then ..."

A series of four worksheets to progressively introduce pupils to the idea of adding and subtracting fractions by matching the denominators. Rather than just presenting it to them as a rule, they work through simple examples to gain an understanding of what is happening. I wrote this out of frustration with a poor class who simply didn't seem to understand how fractions worked, and although they could memorise a method, would then misapply it (for example, trying to add three fractions with them was a disaster, until they actually understood what they were doing)

A worksheet of simple maths problems aimed at 11+ year olds, which mostly involve fractions plus a bit of angles

A comprehensive set of 15 questions (with a,b,c) testing the following skills converting between improper fractions and mixed numbers converting between fractions, decimals and percentages adding, subtracting, multiplying and dividing fractions finding percentages applying percentage increase and decrease Solutions at the end.

This resource is designed to give pupils much-needed practice on where points move after a transformation, for example: Where does the point (2,4) on the graph f(x) appear on the graph 3f(x)+1? The first questions are basic practice then pupils look at progressively more complicated graphs, including some practice finding the turning points and range and domain. Provided with solutions.

Many powerpoints, worksheets and a homework with mixed revision questions. Topic specific revision questions on the following topics, as both Powerpoints and PDFs. Circles Complete the Square Differentiation Functions Log Graphs M=tan theta Polynomials Straight Line Straight Line & Functions

Two write-on practice tests for Higher Maths pupils on the following topics: Test #1 - Straight Line, Functions, Quadratics, Surds, Indices Test #2 - Functions, Graphs, Polynomials Both can be done with a calculator. With full solutions

A series of three Power Point slides on tricky log questions. Useful for revision of Higher Maths. Edit: added logs and exponential graphs.

Tips, questions, and solutions covering the following topics: Sequences, Lines, Circles, Vectors, Logs, Polynomials and Functions. Edit: Added 2023 exam tips

First homework covering Integration (polynomials and simple trig, area between curves) Revision (functions, circles, trig graphs, sequences) Edit: added second longer revision sheet covering polynomials trig calculus Full solutions included

A Powerpoint introducing negative numbers, then some practice with temperatures.

A series of practice questions on the following converting between improper fractions and mixed numbers adding, subtracting, dividing and multiplying fractions converting between fractions, decimals and percentages Included with answers Edit 2022 -added More Fractions Powerpoint and PDF

A powerpoint with one question - exploring why going from 20 to 25 is not the same as going from 25 to 20.

A selection of questions (with full solutions) each asking 'how many ways' can something happen. Begins with simple problems that are small enough that they can be done without any special technique, then problems that require the 'multiplication principle' then on to permutations and combinations.

A series of extension projects about counting. Each question is a seemingly simple problem that introduces pupils to combinatorics. For example: - how many ways can you make change for a pound? - how many four digit numbers have digits that sum to 9?

A fun lesson with shapes for pupils to cut out and reform. Everyone should have fun with this. Although even young children can understand dissection it hides complicated mathematics in geometry in proof. The dissections to try here are: - A rectangle into a square with one cut - A vase into a square - An equilateral triangle into a square - A 8 by 8 square into a 13 by 5 rectangle (!) - A couple of miscellaneous shapes - An approximate dissection of a circle into a square