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 sets of questions (non-calculator and calculator) practicing
Fractions -equivalent adding, subtracting, dividing, multiplying
Order of Operations
Highest common factor
Prime factorisation
Expressing as a percentage and finding a percentage
Square roots, and cube roots and squaring
Algebra - solving simple equations, simplifying, substitution
Rounding to one decimal place
Answers provided too.
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 short Powerpoint on common confusions such as 6 and 0, s and 5, ( and c and so on.
Pupils are made aware of the pitfalls, and given tips for how to avoid them.
Some not very exciting but essential practice, with increasingly difficult questions such as
- 1/4 of 24
- two thirds of 12
- increase £20 by a fifth
- find two fifths of £11
- decrease £9.99 by a tenth
This is an investigation to get pupils thinking about different units.
The Power Point begins with an introduction, then a few questions to get pupils thinking about different units, and finishes by describing the investigation they should do, finding out more about one type of measurement and presenting their results.
A series of four worksheets to give some background algebra, do plenty of examples finding a limit, then for advanced pupils go on to find a general formula for a linear sequence.
If you follow this through you will be able to instantly work out the value of the 50th term of u_n+1 = 0.4 u_n +3 (for example).
The four worksheets are:
- Indices (practice on this)
- Algebra (rearranging formula)
- Sequences (standard questions on finding limits, and graphing the results)
- Investigation (putting it all together to get a general formula)
All provided with full solutions.
Some revision questions on the topics my Higher Pupils found tricky this year
log equations (e.g. cooling water, and algebra with logs)
trig equations (algebra and wave equation)
integration (polynomials and trig)
There’s also a practice test which I took from somewhere and typed up solutions. I just used it as revision.
Bridge is a great card game that is played in pairs. It is similar to whist (with tricks and trumps) and requires four to a table.
The attached booklets start with the very basics (e.g. dealing the cards) then teach the main concepts.
Each booklet has a page of learning, then a short quiz, and so on.
I have used these successfully at a school bridge club.
Answer booklet included too.
Two worksheets of questions, one written just before the 2016 US Election and one just before the 2020 US Election.
The questions cover sampling, mean and variance, outliers, confidence intervals as well as some more thoughtful questions on the errors in sampling.
Two videos on the cosine rule:
missing angle
missing side
And a third video:
which one of Sine rule or Cosine rule to use?
All the videos are compressed mp4
Explanations and examples of the key statistical concepts for the Cambridge STEP Mathematics entrance exam.
Covers
Basic probability
Combinatorics
Mean and variance
Continuous probability distributions
Uniform, binomial and normal distributions
Hypothesis testing
All with solutions to my questions and references for the past paper questions
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
A simple powerpoint with all the different common words that indicate a pupil has to add (plus, together etc.) and all those that mean subtract (difference, change, etc.)
Useful for pupils who struggle with questions with words in them.
Aimed at CfE Level 1 (Scotland)
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
