Pupils learn about money and get the chance to design their own coins. Practices simple skills with money and deicmals, and gets them thinking about currencies in general with some extension questions. This activity is inspired by the Scottish Independence Referendum of 2014.

An introduction to time. Reading the time from clocks, then difference between two times, and finally a challenge with times in the school weak. Full solutions provided.

This is a 2-page write on worksheet that tests these basic skills: - Lines of symmetry - Names of 2D shapes - 2D shapes that can be convex and non-convex Pupils can write directly on the sheet. Full solutions included.

Several revision Powerpoints and mixed revision worksheets. Many topics covered but in particular Binomial Theorem, Complex Numbers, Partial Fractions, Euclid and Proof. All with either short answers or full solutions Includes topic-specific revision material on the following topics, as Powerpoints and PDFs. Binomial Theorem Complex Numbers Binomial Theorem and Complex Numbers Loci of Complex Numbers Matrices Number Theory Partial Fractions Indices (revision of easier material to help with binomial theorem) Sequences

Many powerpoints, worksheets and a homework with mixed revision questions. Topic specific revision questions on the following topics, as both Powerpoints and PDFs. Circles Complete the Square Differentiation Functions Log Graphs M=tan theta Polynomials Straight Line Straight Line & Functions

The key to exam technique in mathematics is to solve each problem multiple times, using independent methods. You also want an independent check. Mathematicians hate to get things wrong! This presentation and activities will help your students from making mistakes.

A series of examples and questions on the following topics: Express a change in value as Percentage Calculate Compound Interest Reverse Percentage Change Appreciation/Depreciation by a Percentage Provided with solutions

A two page Power Point with questions revising arcs and sectors.

A series of about 30 Power Points each with mixed starter activities testing basic numeracy of: - whole numbers - fractions, decimals, percentages - money - graphs - symmetry

This is an investigation for pupils to discover that the more sides you have on a polygon, the closer the area comes to that of a circle. In fact, using polygons was how people once estimated pi. Skills used - trigonometry - area - algebra - Pythagoras Full solutions included.

A booklet for pupils to fill in with practice questions on curve sketching, of trig graphs and log graphs. Includes translating graphs. Q1 & Q2 are taken from past papers. Q7 and Q8 are left blank for extra questions. Full solutions at the end.

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

Eleven fun questions based on the Scottish Advanced Higher Statistics course, also applicable to the English Statistics A level. Questions are on a Powerpoint and full solutions on a PDF. Topics covered include: conditional probability, regression analysis, confidence intervals, paired t-test, Poisson distribution, Binomial distribution, Chi-squared distribution, Continuous uniform distribution and Normal distribution. Edit: updated May 2023

There are two comprehensive worksheets here practicing basic skills with decimals. Pupils can work individually going through the questions as revision. Full solutions included.

A whole class activity to practise basic skills of adding and subtracting, multiplying and dividing. Three different difficulties.

A Powerpoint presentation I used to introduce a class of smart 16 year olds to some of the simple visual aspects of Topology, with plenty of pictures, strange facts, and links to videos.

A fun activity to practice learning about the straight line. Includes - drawing graph from data points - working out the gradient - working out the y-intercept - working out the equation of a line from the graph - using the equation to interpolate missing points Solutions included

Proofs of some of the key formulas in Advanced Higher Statistics. Not required for the course but some pupils (and teachers) may find it interesting. proof the two ways of writing the variance formula are equivalent proof that using the ‘divide by n-1’ formula gives the best estimate of a population variance proof of Bayes Theorem proof of laws of expectation and variance proof of the origin of the Poisson formula, and of the mean and variance proof of mean and variance for uniform discrete proof of mean and variance for uniform continuous proof that using proportions and the normal approximation to a binomial are equivalent proof a line of best fit goes through the average point proof the line of best fit gives the least squares proof of SSR formula proof in bivariate analysis DF=n-2 proof test slope parameter nonzero and coefficient of correlation nonzero are equivalent

Thirteen homeworks each with full solutions, covering the following areas of the course. 1 - Probability 2 - Probability, Sampling, Binomial 3 - Probability, Sampling, Binomial 4 - Binomial, Normal, Poisson #1 5 - Distributions 5a - Distributions and Regressions 6 - Hypothesis Test 7 - Normal Approximation 8 - Control charts, Confidence Interval, Fences 9 - Mean and Variance 10 - Binomial, Normal, Poisson #2 11 - Z and T tests 12 - More Distributions 13 - Wilcoxon and Mann Whitney For some of the homeworks (2,3,5) I have made slightly different alternative versions and they are included too. Update: homeworks 2,5,7 updated March 2023

A rare chance to see the first ever use of an equals sign "for what could be more equal than two parallel lines" and therefore the first ever equation. Pupils can read the Olde English, translate it into modern equations, then solve them. The first two are linear, the remaining four quadratic. Provided with full solutions.