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

Three challenging homeworks for Advanced Higher Maths covering the following topics Proof by Induction (lots of this) Direct proof Proof by Contradiction Counterexamples Proof by contrapositive All provided with full worked solutions

A six-page worksheet with hundreds of questions broken down into topics, with a key rule followed by practice questions. It starts simple with positive indices then covers all other areas. Topics are: - multiplying and dividing - powers of powers - numbers in brackets - numbers and letters - to the power zero and one - negative powers - square roots - fractional powers - fractional negative powers Provided with answers in the same document. I wrote this as I couldn’t find any other resource that takes pupils slowly through all the different types of question. Edit: added Indices Summary Powerpoint/PDF which I print out to give to pupils.

A Power Point time-questions.ppt with questions covering: converting between 12 and 24 hour time finding the time between events converting between hours and minutes An introduction Speed Distance Time.pdf, with simple questions on each of Distance, Time and Speed, then mixed questions. A Power Point summary DST Summary.ppt of how to do DST questions Full solutions provided.

Four Power Point slides on sequences - the first is simple ‘what comes next’ - the second is counting matchsticks and finding a formula - the third is formally finding a linking formula between ‘S’ and ‘T’ - the fourth is more practice finding and using the relationship between ‘S’ and ‘T’ If you like more challenging ‘What Comes Next’ problems see my separate resource on that. A practice test on sequences. Full solutions attached.

Revision resources targeting a particular area of the course. Each consists of a set of questions and full solutions. Chi Squared Distributions Mann Whitney Probability Regression Sampling Z and T Tests

A series of questions to demonstrate similarity between similar rectangles and triangles, including more complicated diagrams with multiple triangles Solutions included at the bottom of each slide, and extra practice questions at the end. Edit: added some 3D examples Edit: added summary sheet

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

Three Powerpoints with simple questions on percentage change finding a percentage -percentage increase or decrease with extension questions on reverse percentage Edit: added another powerpoint of mixed questions, a summary sheet, and a worksheet

A set of 20 questions in a loop where pupils have to convert to and from Scientific Notation. Print out all 20 in A4 and put them up around the classroom (or outdoors). Give pupils a letter A-T to start on then challenge them to complete the chain of letters by matching up numbers in normal and scientific form.

Shed Loads of Practice (SLOP) is about pupils solving a huge number of easy questions quickly to gain fluency. This is an Excel workbook that generates questions on the following topics. Some are basic numeracy some National 5 / GCSE or Higher Maths level. Negative and Positive Numbers Odd and Even Numbers Combining like terms Expanding brackets Percentages finding the multiplier Trig standard values Scale Factor Indices Print it out and give pupils just a few minutes to fill them all in.

A Powerpoint (or PDF) of algebra problems that involve ages. These are hard enough that they need the equations to be written out in full. Some need simultaneous equations to solve. Solutions given.

A set of practice tests all provided with full solutions. Some are whole course, some cover specific aspects of the course, some with self-assessments too. AH Statistics Past Paper Questions Test AH Statistics Practice Test 1 AH Statistics Practice Test 2 (full course) AH Statistics Practice Test 3 AH Statistics Practice Test 4 (Sampling, Prob, Binomial) AH Statistics Practice Test 5 (Data Analysis) AH Statistics Practice Test 6 (full course) AH Statistics Practice Test #7 (Distributions, Regression, CLT, Confidence Intervals, T tests) AH Statistics Practice Test #8 (Probability, Normal Dist, Wilcoxon, Mann-Whitney, Chi-Squared) AH Statistics Practice Test #9 (Probability, Sampling, Data Display) AH Statistics Practice Test #10 AH Statistics Practice Test #11 AH Statistics Practice Test #12 (t-tests) AH Statistics Practice Test #13 (no t-tests) AH Statistics Practice Test #14 AH Statistics Practice Test #15 (no non-parametric) AH Statistics Practice Test #16 AH Stats Practice Unit Assessments AH Stats English PPQ - Part 1 (Sampling, Prob, Mean and Variance, Normal Dist) AH Stats English PPQ - Part 2 (Binomial, Poisson, Conf intervals, Chi Squared, Mann Whitney, Wilcoxon, Regression) AH Stats Unit Assessments Edit March 2023: updated Practice Test 4 Edit: December 2023: added #14-15, Edit: March 2024: added #16

This is a series of questions testing basic knowledge of percentages. They should be solved by converting the common percentages to fractions. They start easy then introduce increases and decreases, then more difficult numbers. Full solutions included.

Two Powerpoints for introducing and practicing standard deviation. Standard Deviation ‘What it Means’ introduces the idea of spread with some examples then gives the full standard deviation for pupils to practice. Standard Deviation ‘Practice Questions’ gives some examples for pupils to practice and full solutions. I’ve also included short versions of each Powerpoint as a PDF if you prefer to use these as handouts.

Four worksheets of vectors questions all with full solutions Vectors #1 Column Vectors - writing as a column vector Vectors #2 Addition and Magnitude - add, subtract, find magnitude in 2D and 3D Vectors #3 Pathways and Coordinates - reading pathways, midpoints, 3D coordinates (answer fixed June 2024) Vectors #4 Mix - magnitude, adding, 3D coordinates, pathways

Four probability resources: Conditional Probability with tree diagrams, Conditional Probability with Venn diagrams, Conditional Probability with Set Notation, Deadly disease probability question A short video explaining how to solve a conditional probability problem using tree diagrams. A video using a Venn Diagram to determine if the events are independent, mutually exclusive, and calculate some conditional probabilities. This is done alongside calculating with a table. Practice questions with solutions using Set Notation A classic question on probability with a rare disease

Powerpoint questions on the following topics. Binomial Chi squared Confidence Intervals Continuous Uniform Distribution Discrete Uniform Distribution Mean and Variance Poisson distribution Proportion Regression Transforming Variables All with full solutions

18 revision sheets all provided with full solutions. Some cover the whole course some a few areas only. Edit March 2023: Updated Sheets 1-6, 9, 14-16 Edit Dec 2023: Added 17-18 Edit June 2024: Added 19

This is a thought provoking activity about how many variables are needed to describe a shape. For example, if you don’t care about size, rotation or position all squares are the same. To define size, one variable is needed. To define rotation, one variable is needed. To define position in the 2D plane, two variables are needed. So to fully define any square requires four variables. There are many possible different choices for these four. (Updated 2023)