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 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.
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.
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 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
Some resources to help understand the normal approximation to a binomial distribution.
A Powerpoint investigating when a Binomial distribution is close to a normal distribution, and also a video commentary of the Powerpoint.
We find that if the sample size is too small (or too skewed) then the normal approximation is good. Specifically, we want np>5 and nq>5.
A couple of worked solutions to example problems, in video form
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 Powerpoint with questions and answers, alongside video solutions.
The following binomial questions are solved:
finding exact probabilities using the formula
finding more than or equal probabilities using hte data booklet
solving large problems using the normal approximation
A series of worksheets on the following topics. The first three are easier (age 11/12 or S1 in Scotland), the second three harder (age 12/13 or S2 in Scotland)
#1 - algebra, percentage, area, perimeter, indices, primes
#2 - fractions, substitution, negatives, percentages, Pythagoras, rounding, area
#3 - simplifying, polygons, substitution, percentages, rounding
#4 - algebra, sequences, volume, percentages, ratio, DST, standard form
#5 - angles, area, percentages
#6 - fractions, angles, polygons, Pythagoras, area, volume, circles
Included with solutions
A series of practice questions on the following
converting between improper fractions and mixed numbers
adding, subtracting, dividing and multiplying fractions
converting between fractions, decimals and percentages
Included with answers
Edit 2022 -added More Fractions Powerpoint and PDF
Building up and using the skills for Pythagoras:
squaring
square rooting
short side
long side
mix of short and long side
some word problems.
Answers included at the end.
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.
Is every square a rectangle? Is every rectangle a square?
An investigation into the properties of the quadrilaterals, working out their properties and which ones are similar.
Includes a look into Venn Diagrams and a couple of area challenges at the end.
Notes and answers at the bottom of each slide.
Questions on the volume and surface area of a cuboid, cylinder, prism. Includes changing units between cubic centimetres and litres.
Includes one worksheet with answers and a follow-up worksheet too.
Edit: added summary sheet and another worksheet
Practice ratio questions on
simplifying ratios
dividing a sum
ratio problems
Extension problems included too, and answers.
2021 - added a ratio homework with answers
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 challenging investigation encouraging pupils to think about some 3D geometry problems, using their skills with Pythagoras, including looking at edges and faces.
Four separate challenges, all with solutions at the end.
How should you stack blocks to get the maximum overhang? This can be viewed as a centre of mass problem.
This worksheet takes you through questions to learn about a good solution, then explores some alternatives.