A worksheet for F angles and a worksheet for Z angles. Now with answers included.

Four worksheets with questions covering the maths required for Advanced Higher Mechanics (partial fractions, differentiation, integration). These topics are also included in Advanced Higher Maths so could be useful for that too. Update - added 2022 practice questions and a practice test. All with solutions.

When a pupil asked “what do we need to know for the exam” this is what I wrote. It covers every topic in National 5 maths, with examples of the formulas then ones for you to try (reading isn’t enough in maths, you need to do the problems yourself). The formulas that are in grey are the ones that you are given in the exam, but I included here anyway. Edit: Jan 2022 fixed two mistakes with indices

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

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 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.

An example of using Venn Diagrams to categorise the numbers from 1 to 20 as either even or prime. Included is Powerpoint Video explanation

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

Three sets of questions revising: - Trig Graphs - Sine Rule, Cosine Rule and Area of Triangle (everything except trig identities) Plus an extra couple of questions as a Homework Edit: added some Powerpoint slides for revision Provided with full worked solutions

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

Mixed resources covering the difficult topic of proof (contrapositive, proof by induction, direct proof and counterexample). Includes proof by induction questions, a Powerpoint with slides of questions, and a bank of other questions.

Two sets of questions and solutions on - units of measurement - area of rectangles and triangles - perimeter of rectangles - simple compound shapes Edit: added page of challenge questions

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 powerpoint with some simple questions converting between binary and decimal. Answers provided

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