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.
A series of simple questions for pupils to answer on mini-whiteboards (or any other way).
Topics here are combining simple terms and multiplying out brackets.
Two lists of free iPad Apps to help with maths - one for pupils and one for teachers.
The list for pupils groups apps by categories (e.g. graphs, fractions), the list for teachers includes administrative apps too.
Compiled 2015 - let me know if you've anything new to add!
A Powerpoint with questions and answers, alongside video solutions.
The following questions are solved for a normally distributed population:
probability of being above a certain value
probability of being below a certain value
probability of being between two values
Final answers are found using a data booklet (specifically the one for Advanced Higher Statistics in Scotland)
Also included ‘AH Statistics Normal Distributions with Phi Notation’ which shows how the number of standard deviations above or below the mean leads to a probability.
Normal distribution short questions
This is a thought provoking activity about how many variables are needed to describe a shape.
For example, if you don’t care about size, rotation or position all squares are the same.
To define size, one variable is needed.
To define rotation, one variable is needed.
To define position in the 2D plane, two variables are needed.
So to fully define any square requires four variables.
There are many possible different choices for these four.
(Updated 2023)
A chance for pupils to put their Pythagoras knowledge to the test!
They measure a few distances indoors (e.g. their jotters) and check then check if the diagonal is the length they expected by Pythagoras. Then they go outside the classroom and measure some distances in feet (their own feet) or paces.
This is an investigation into the different uses of stones and pounds (UK), pounds (USA) and kilograms (Europe) for weighing people. By the end pupils should be able to convert between the units effectively.
Skills used:
- Mental arithmetic
- Converting between units
- Rounding (the conversion numbers are approximate only)
Full solutions provided on the Power Points.
Now includes some extra revision, (to be used a month after initial lessons) and a picture of 'The Kilogram' (housed in a secret bunker somewhere near Paris).
A worksheet of practice questions on everything to do with Higher Functions.
domain and range
max value of a function
inverse functions
tangent to a function
showing a function is always positive
sketch of a function
differentiating a function
quadratic inequalities
A series of statistics questions that cover everything that might be needed for an Advanced Higher Geography project. Largely overlaps with Advanced Higher Statistics. Topics included are:
Descriptive statistics (mean, median, mode, range, interquartile range, standard deviation, standard error, coefficient of variation)
Inferential statistics (chi-squared)
Linear regression
Nearest Neighbour analysis
Full solutions at the end.
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
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.
These notes complement my Course Notes for this SQA course. They include more further examples, more complicated statistical tests and links to Excel for examples.
Nine provocative questions to get pupils thinking about infinity.
Each one has footnotes on the Powerpoint to guide towards the answer.
What are Zeno’s paradoxes?
Is 0.9999999999999999999… the same as 1?
What is the smallest decimal number more than 3?
What is infinity plus one?
What is Hilbert’s Hotel?
If something is true for the first million numbers, is it true for all the numbers?
What is 1 – 1 + 1 – 1 + 1 – 1 … equal to?
Are some infinities bigger than others?
Are there more: numbers, fractions, or decimals?
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 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)
This is a series of worksheets all about finding the area of 2D shapes (quadrilaterals and circles).
- Recognising and naming 2D shapes
- Knowing their properties
- Knowing the formulas for their areas
- Being able to calculate the areas
A fun activity to practice using simple tally marks, investigate a few other systems, then make up their own.
Works especially well with low-ability classes, who all like making up their own tally systems.
A thorough test of differentiation skills.
Covers differentiating polynomials and trig (chain rule but no product or quotient rule), tangents and stationary points.
I’ve included the original homework, a version with hints (that my class needed) and full solutions.
