Four challenging problems as extension material. The first is to make the number 2021 from the numbers 10,9,8,…,3,2,1 in order. The other three are tough too! Solutions at the bottom of each slide.

Explanations and examples of the key statistical concepts for the Cambridge STEP Mathematics entrance exam. Covers Basic probability Combinatorics Mean and variance Continuous probability distributions Uniform, binomial and normal distributions Hypothesis testing All with solutions to my questions and references for the past paper questions

Practice question on topics that pupils might come across when sitting extra maths tests for admission to Cambridge, Oxford, or some other universities. The topics covered are: Worksheet 1 - Trapezium Rule, Fixed Point Iterations Worksheet 2 - Equations, Proportion, Probaility, Riddles Worksheet 3 - Graphs, Logarithms Worksheet 4 - Inequalities, Necessary and Sufficient, Proof, Logic Worksheet 5 - Sine and Cosine Rule, Trig Identities All with full solutions. (See my other resource for all the STEP Statisitc questions)

A problem solving scenario to combine skills, useful for revision and group work. The skills tested here are: • Working with surds • Finding the area of a sector • Finding the length of an arc • The distance between points in 2D space (Pythagoras) • Dealing with scale factors • Meaning of parallel and perpendicular Pupils will also need good communication skills and teamwork (if working in groups). Provided with teacher notes and full worked solutions.

A problem solving scenario to combine skills, useful for revision and group work. The skills tested here are: • Parabolas (completing square, turning points, sketching, factorising) • Rounding to significant figures • Bearings • Area of sector and arc length • Area of triangle, sine rule, cosine rule • SOH CAH TOA • Pythagoras • Vectors • Lines • Percentages Pupils will also need good communication skills and teamwork (if working in groups). Provided with teacher notes and full worked solutions.

A problem solving scenario to combine skills, useful for revision and group work. The skills tested here are: • Linear equations, including x-intercept and y-intercept • Solving simultaneous equations • Finding the formula for a sine wave from a graph • Indices • Surds • Changing the subject of a formula Pupils will also need good communication skills and teamwork (if working in groups). Provided with teacher notes and full worked solutions.

A Powerpoint / PDF giving the Indices Rules with some examples - I have printed these two-sided and laminated these for lots of pupils Also a few practice questions on Surds and Indices to diagnose what they need to practice.

A series of four worksheets about domain, range and composite functions. There is many lessons work here with lots of practice. The four parts are: - Domain and Range - Composite Functions - Further Functions (combining domain, range, composite) - Extension (proofs about linear functions) All provided with full solutions

A Powerpoint of revision and a Worksheet of practice questions. Covers: mean standard deviation median interquartile range statements

A mixed collection of questions covering many major topics of National 5 of GCSE Maths, all with a fun theme of Colin the Caterpillar! Topics covered are: Indices, fractions, volume, quadratics, scattergraph, statistics, percentages Provided with full solutions.

A series of question sets that test the basics along with extension material. • Question Set 1 Gradient, Straight line, Circles, Equations, Volume • Question Set 2 Rounding, Formulas and Pythagoras • Question Set 3 Trigonometry, Simultaneous Equations & Lines • Question Set 4 Similarity, Trigonometry, Algebra, Circles • Question Set 5 Volume, lines, circles and factorising • Question Set 6 Factorising, Brackets, Fractions • Question Set 7 Quadratics, Changing the Subject, Numeracy • Question Set 8 Polynomials, Algebra, DST • Question Set 9 Complete Square, Shapes, Equations, Numeracy • Question Set 10 Revision Full solutions provided to all questions. (Extra question set of mixed questions included 2021)

A set of nine revision homeworks, including one for calculator and one non-calculator. Covers all areas of the National 5 Mathematics syllabus. All provided with solutions.

A Power Point and two sets of worksheets (with solutions) on - place value - ordering decimals - decimal scales - addition subtraction division and multiplication with decimals - rounding decimals Also includes a simple decimals starter (Power Point)

A series of questions to practice learning about the straight line. Each one is based on a real life linear relationship, which pupils investigate. For a good class will take about an hour to do thoroughly Skills used: - 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 Full solutions included

A fun challenge to try and work out the maths behind the fact that a dog will take the optimal path into a river to get a ball. Needs knowledge of visualising 2D motion distance speed time finding the minimum of a quadratic Provided with solutions

A series of nicely presented questions each with some money coming in and some expenses. It's quite simple but gives pupils plenty of practice dealing with the terminology and some simple numeracy.

Questions on the following topics: Direct and Inverse Proportion Reciprocal Graphs Nth term of linear or quadratic sequences Circle Theorems Probability Trigonometry Modulus function These are particularly aimed at Scottish pupils as these topics aren’t included in the Scottish syllabus.

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