A worksheet of practice questions on everything to do with Higher Functions. domain and range max value of a function inverse functions tangent to a function showing a function is always positive sketch of a function differentiating a function quadratic inequalities

A write-on worksheet with 18 short questions revising exact values of trigonometry, Most questions simple e.g. sin(60) and also includes angles above 90 degrees, radians and a few questions on inverse trig. Solutions at the end.

A short Power Point explaining what VAT is, what you have to pay it on, and finishing with a question about Jaffa Cakes. Answers included on the Power Point.

A PowerPoint with some activities and help using this calculator.

A PowerPoint with two real-life examples of Hire Purchase questions. Now with answers on the Power Point.

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

Some condensed notes for Advanced Higher Mechanics which include all the key formulas that pupils need to memorise.

A series of ten questions asking pupils to prove Trig Identities. For example Show that 3 tan⁡x cos⁡x=3 sin⁡x All included with full solutions.

A Power Point to (start to) answer the question of why we have 60 minutes in an hour. Wouldn't it be much easier if there were 100? Includes a few simple questions for pupils on finding fractions of 60.

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

At last! An explanation for why mathematicians like Radians. Divided into six categories Pi is great Rotation Speed Drawing Graphs Calculus Sine expansion Formula Spherical Trigonometry Includes short questions on each category

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

These are extensive notes that I have made to teach this SQA Course. Includes many example questions and follow ups on Excel. I’ve also included here a course outline, essential exam skills and a practice exam with solutions. *Updated 2020 to have Course Notes for pupils (with spaces for answers) and Course Notes for teachers (answers filled in) *Updated 2022 with corrections

This is a series of questions that will guide pupils from thinking only in numbers to thinking algebraically. The questions are increasingly challenging, finishing with some that require a lot of thought and can be investigated further.

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

These are the course notes I have been using for the last few years to teach Advanced Higher Statistics. I wrote them myself, based on the SQA course description, and have included lots of examples. Included in this bundle AH Statistics Course Notes AH Statistics Formulas to Memorise (A list of all the important facts that need to be remembered for Advanced Higher Statistics, that are not in the formula sheet) AH Statistics 150 Quick Questions (A set of short questions covering all aspects of the Advanced Higher Statistics Course) AH Statistics 14 Tests (A revision resource giving a summary of the 14 hypothesis tests in the course:) AH Statistics Course Summary (Short questions on each aspect of the course and links to the place in the SQA Course Specification) All included with full solutions. If you spot any mistakes please let me know. Last update: March 2023

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 series of six questions on the Mann-Whitney test, including dealing with ties and the normal approximation (the data in these questions is not mine and is taken from various sources). A Wilcoxon and Mann-Whitney homework Both provided with full solutions

A set of multi-part questions covering both chi-squared test for association and goodness of fit A set of questions building up to using chi-squared to work out whether a Binomial or Poisson distribution fits the data Both provided with full solutions.

Three worksheets for pupils to become familiar with using a TI82 (or similar) Graphics Calculator. Calculator Guide. Explains how to do Basic Navigation, Basic Maths, Statistical Distributions and Statistical Tests. Calculator Practice. Some practice questions to be solved by Graphic Calculator. Solutions at the end. TI82 Stats Calculator Questions. A Powerpoint with some more practice