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 Powerpoint / PDF giving the Indices Rules with some examples - I have printed these two-sided and laminated these for lots of pupils
Also a few practice questions on Surds and Indices to diagnose what they need to practice.
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.
A fun challenge to try and work out the maths behind the fact that a dog will take the optimal path into a river to get a ball.
Needs knowledge of
visualising 2D motion
distance speed time
finding the minimum of a quadratic
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.
Two resources about the Poisson Distribution
A Powerpoint that contains everything you need for the Poisson distribution
recap of the properties of the Normal and Binomial distributions (to avoid getting them mixed up)
examples of situations with Poisson distributions
solving small problems using the Poisson formula
solving medium problems using a data booklet
solving large problems using a normal approximation
analysis of the assumptions involved in a Poisson distribution
summary of the properties of the Poisson distribution
An extra page of questions with solutions at the end
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
Three resources:
A Powerpoint with questions and answers, alongside video solutions.
The following questions are solved:
finding the mean of a sample
finding the variance of a sample
estimating population mean from a sample
estimating population variance from a sample
Mean and Varirance questions by P Benson for which I’ve written out solutions
Expectation Algebra questions
A one page summary of the four different types of two sample tests:
Mann Whitney
Wilcoxon
Z-test
T-test
Also extra questions on two sample z-tests for proportions
Questions and solutions on linear regression:
AH Statistics Linear Regression Questions - estimating the value of r, then calculating all of the information by hand from the table of values. Full solutions included.
AH Statistics Regression.pdf - harder questions testing some theoretical topics
AH Statistics Confidence and Prediction Intervals for Regression - questions
AH Statistics Hypothesis Testing in Regression Analysis - longer explanation and questions on the beta and rho tests
AH Statistics Linear Regression Running Times - a Paper 1 style practice question
AH Statistics Regression FlowChart - a suggested order in which to approach bivariate data (data with two variables), starting with approximate methods and checking the validity of the model as you go.
A variety of resources for pupils to master Excel. Starts with a simple introduction then moves on to using it to run statistical tests.
Although this isn’t part of the syllabus it’s useful for pupils to be able to check their answers, and learn some useful skills.
AH Statistics - Simple Activities to learn Excel
AH Statistics - How to draw a graph in Excel
AH Statistics - Excel
AH Statistics - Excel (solutions)
AH Statistics - More Excel
Practice questions covering
Western Electric Rules
Determining if a system is in statistical control
Calculating upper and lower control limits
Working backwards from limits to finding standard deviation or sample size
Finding the probability of a rule being broken
Provided with solutions
Practice Questions on one-sample and two-sample versions of the following tests
• z-test for a difference in population means
• t-test for a difference in population means (including paired)
• z-test for a difference in population proportions
A short presentation describing Leonard Euler - the greatest mathematician ever! Covers his life, the mathematical notation named after him, and some of the maths he did
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 another powerpoint of more questions
This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition.
Although they are challenging, they can all be solved without using any advanced techniques.
Full solutions included.
Edit: added two more puzzles
This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition.
Although they are challenging, they can all be solved using standard techniques.
Full solutions included.
Edit: added two more puzzles