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.
Four worksheets of vectors questions all with full solutions
Vectors #1 Column Vectors - writing as a column vector
Vectors #2 Addition and Magnitude - add, subtract, find magnitude in 2D and 3D
Vectors #3 Pathways and Coordinates - reading pathways, midpoints, 3D coordinates (answer fixed June 2024)
Vectors #4 Mix - magnitude, adding, 3D coordinates, pathways
Four probability resources: Conditional Probability with tree diagrams, Conditional Probability with Venn diagrams, Conditional Probability with Set Notation, Deadly disease probability question
A short video explaining how to solve a conditional probability problem using tree diagrams.
A video using a Venn Diagram to determine if the events are independent, mutually exclusive, and calculate some conditional probabilities. This is done alongside calculating with a table.
Practice questions with solutions using Set Notation
A classic question on probability with a rare disease
A Powerpoint of Pythagoras questions covering the following topics:
Squaring and square rooting
Solving the equations that result from Pythagoras equations
Finding long and short sides on triangles(with and without a calculator)
‘Double Pythagoras’ with two applications
3D Pythagoras with a space diagonal
Distance between co-ordinates
Converse of Pythagoras
Answers at the bottom of each slide
Powerpoint questions on the following topics.
Binomial
Chi squared
Confidence Intervals
Continuous Uniform Distribution
Discrete Uniform Distribution
Mean and Variance
Poisson distribution
Proportion
Regression
Transforming Variables
All with full solutions
18 revision sheets all provided with full solutions.
Some cover the whole course some a few areas only.
Edit March 2023: Updated Sheets 1-6, 9, 14-16
Edit Dec 2023: Added 17-18
Edit June 2024: Added 19
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 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 set of six challenging problems where pupils must use all the digits 1-9 exactly once each, for example:
Find two three-digit numbers that sum to another three-digit number
Solutions provided.
This is a series of questions aimed at making pupils more comfortable with dealing with formulas with fractions in them.
I made this worksheet in response to a very bright class who had no problems with most formula but struggled rearranging fractions.
Full solutions included.
Edit: added powerpoint of extra questions
Edit: added some textbook change the subject questions with answers
Two pages of Powerpoints with answers on simple questions like
If f(x)=3x+4, find f(5)
Then tests fractions and negatives, and finally more difficult questions like
If f(x)=3x+4, and f(a)=19, find a
A set of five harder problems about finding the mean which involve pupils using the fact that the total is the number of data points times the mean (or using algebra).
Provided with solutions.
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
Two extra tasks for pupils doing the Higher Statistics Module.
Task 1 is using Excel to analyse some Covid infection data using regression analysis. This has example solutions inline.
Task 2 is conducting a survey . Included are example model solutions…
A teacher-led Powerpoint investigation into randomness to be done at the end of a topic about probability. The five short topics are
Pick a random number
Heads and Tails experiment
Lottery Random numbers
Digits of Pi
What is randomness?
The aim is for pupils to understand that ‘random’ isn’t truly random after all!
These two activities extend from 3 by 3 to 4 by 4 magic squares. Pupils design an individual magic square then search for groups of four numbes that add up to 34 (there are lots).
Good practice with simple addition and subtraction strengthening number bonds, then for more advanced pupils using algebra to get a more general solution
Edit: Added a bank of more 4 by 4 magic squares that pupils can use to find more groups of 34
Duality is an important concept in understanding mathematical problems. Sometimes a problem can be ‘reveresed’ by considering it’s dual, for example swapping around lines and points in a triangle.
This Powerpoint looks at how duality appears in the following contexts
division and subtraction
2D shapes and 3D shapes
2D graphs including the Fano Plane
Magic Squares are just the beginning!
A Latin square is a grid where each symbol appears exactly once in each row a column - recognisable to most pupils as being like a Su Doku.
This resources extends that idea to look at double and further Latin Squares. These are useful for many things (see e.g. my other resource on Dobble)
A colourful poweroint introducing a new idea for most pupils.
In standard 2D geometry parallel lines never meet. In projective geometry we add an extra point (infinity) where the lines meet. This turns out to be useful for various problems (e.g. see my other resource on Dobble).
