I provide comprehensive worksheets to revise a particular topic (always with answers included) as well as extension materials, for pupils ranging from age about 11 to 16+.
All of my premium resources have a UK and US version.
I provide comprehensive worksheets to revise a particular topic (always with answers included) as well as extension materials, for pupils ranging from age about 11 to 16+.
All of my premium resources have a UK and US version.
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 presentation and questions for pupils to consider what makes maths problems hard?
They will then be better equipped to solve (and create) their own problems.
The main way that problems are made more difficult are:
- Make the numbers harder
- Repeated application
- Difficult vocabulary
- Extra operation at start or end
- Reverse the problem
- Hide information in a story
- Extraneous information
Some infinite sums that (if you go on long enough) add up to Pi.
Pupils can try these with a calculator and see how far they get.
More advanced pupils can think about which one converges the fastest, and why
A simple problem about inviting six people to a party - will there always be a group that know each other, or a group that are all strangers?
An introduction to the idea of edges and vertices, in the form of a fun problem.
A fun Power Point about Rowan Hamilton's discovery of Quaternions. There are no actual formulas given here (just a hint that it's about 4D space), the point of the presentation is just that he had a brain wave while crossing a bridge and carved it into the bridge.
Can be used with a junior class talking about 'inspiration' or a more senior class who know about complex numbers if you want to go into the actual equations of quaternions.
A chance for pupils to learn what mathematicians really do: they pick a mathematician from the list and are then guided through a very simplified version of their work.
The aim is that pupils learn about a mathematician but also do some real maths!
The file Modern Mathematicians.pdf lists all the options, then there are 25 separate tasks to look at.
Suggested answers also included.
Extension questions testing
numeracy, e.g. what are the prime factors of 1001
logic, e.g. how many false statements are in the list below:
There is exactly one false statement in this list.
There are exactly two false statements in this list.
There are exactly three false statements in this list.
Provided with answers
Four challenging problems as extension material.
The first is to make the number 2021 from the numbers 10,9,8,…,3,2,1 in order.
The other three are tough too!
Solutions at the bottom of each slide.
A set of nine revision homeworks, including one for calculator and one non-calculator.
Covers all areas of the National 5 Mathematics syllabus.
All provided with solutions.
Questions on the following topics:
Direct and Inverse Proportion
Reciprocal Graphs
Nth term of linear or quadratic sequences
Circle Theorems
Probability
Trigonometry
Modulus function
These are particularly aimed at Scottish pupils as these topics aren’t included in the Scottish syllabus.
A set of 13 practice assessments covering all aspects of the National 5 Course. Each one is laid out with space for write-on answers, and provided with solutions.
Edit: Added assessments 14-17
Three worksheets for pupils to become familiar with using a TI82 (or similar) Graphics Calculator.
Calculator Guide. Explains how to do Basic Navigation, Basic Maths, Statistical Distributions and Statistical Tests.
Calculator Practice. Some practice questions to be solved by Graphic Calculator. Solutions at the end.
TI82 Stats Calculator Questions. A Powerpoint with some more practice
An investigation into how many people can fit in a room while keeping two metres apart. There are three main spacings:
square (the first one you think of)
hexagonal
irregular
This is an interesting read for those mathematically minded
A fascinating activity encouraging pupils to think about 'Fixed Points', things that stay the same when there is a change. For example, in the doubling function 0 is a fixed point as doubling keeps it the same.
These fixed points have surprising applications, including the amazing result that if you scrunch up one piece of paper and put it on top of a flat identical piece, at least one point is in the same place!
Pupils are guided along with a presentation with things for them to think about along the way.
Some of the language is GCSE level but the ideas are applicable for all ages.
A powerpoint presentation to introduce the idea of functions having 'fixed points'.
For example, the fixed point of f(x) = 2x - 5 is when x = 5.
Goes on to talk about 2D fixed points, before finishing with a riddle that can be solved by thinking about fixed points.
A short Power Point explaining what VAT is, what you have to pay it on, and finishing with a question about Jaffa Cakes.
Answers included on the Power Point.
Bridge is a card game that is great for teamwork and developing logical thinking. There are proven benefits to cognitive skills for children and adults. For more about the benefits see the attached 'What is Bridge' PDF.
This is a set of resources for a school bridge club, or anyone wanting to learn more.
It starts with Whist and Minibridge and goes all the way through to basic bidding:
