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 five homeworks covering the topics of
- time (hours, days, weeks etc)
- hourly salaries
- tax
- loans and repayments
- money exchange
- budgeting
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
A page of questions on the following
substitution
expanding brackets
inequalities
forming and solving equations
Solutions included
Edit: added a Powerpoint of similar questions
Edit: added a further dense page of questions
A series of worksheets exploring the link between door codes, Euler Graphs and also De Brujn Graphs. This will introduce pupils to the concepts of
- vertices
- edges
- degree of vertices
- directed graphs
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 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.
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
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 simple powerpoint with a shop where items cost different amounts. You then ask the pupils how much change they get from a pound.
Easily adaptable to add your own items (or change the existing prices) or extend by asking about buying multiple items, starting with £5 etc.
Aimed at CfE Level 1 Mathematics
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?
