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

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

An investigation into how many people can fit in a room while keeping two metres apart. There are three main spacings: square (the first one you think of) hexagonal irregular This is an interesting read for those mathematically minded

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 set of 13 practice tests covering all aspects of the National 5 Course. Each one is laid out with space for write-on answers, and provided with solutions.

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

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.

Four Powerpoint slides and a worksheet revising Straight Line Identifying the equation from a graph Finding the gradient and equation from two points Finding a parallel line Vertical and Horizontal lines Sketching straight lines Solutions at the bottom of each Powerpoint

A bumper set of numeracy questions, all with full solutions. Arranged in roughly increasing order of difficulty. Numeracy Assessments: #1 - Types of Number, Negatives, Fractions (55 marks) #2 - Mostly fractions (100 marks) #3 - Fractions, Negatives, LCF/HCM and some algebra (50 marks) #4 - Fractions, LCM, HCF, Algebra, Negatives, Multiplication, Percentages (40 marks) Numeracy Practice Tests: #1 - BOMA, Negatives, Decimals, Units, Area & Perimeter #2 - BOMA, Negatives, Decimals, Units, Area & Perimeter, Fractions Factors & Multiples #3 - BOMA, Negatives, Decimals, Fractions, Factors & Multiples, Long Multiplication Numeracy Practice Questions: #1 #2 - Negatives, algebra, fractions, percentages, Pythagoras More Practice Tests #1 - Fractions, Decimals, Percentages Pythagoras #2 - Fractions, Decimals, Percentages Pythagoras, Rounding #3 - Fractions, FDP, Pythagoras #4 - Fractions, FDP, Pythagoras, Algebra #5 - Fractions, FDP, Pythagoras, Algebra #6 - Fractions, FDP, Pythagoras, Percentages, Algebra #7 - Ratio, Substitution, Indices, Fractions, Percentages, Equations, Brackets, Inequalities #8 - Ratio, Substitution, Indices, Fractions, Percentages, Equations, Brackets, Inequalities #9 - Ratio, Substitution, Indices, Equations, Brackets, Inequalities, Statistics #10 - FDP, Pythagoras, Percentages, Algebra #11 - FDP, Pythagoras, Percentages, Algebra #12 - FDP, Pythagoras, Percentages, Algebra #13 - Pythagoras, Algebra, Circles (Calculator) #14 -Algebra, Circles, Angles More practice Mixed Harder Numeracy.pdf Mixed Numeracy Practice.pdf Numeracy Extended Test.pdf

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 Vectors #4 Mix - magnitude, adding, 3D coordinates, pathways

Two videos on the cosine rule: missing angle missing side And a third video: which one of Sine rule or Cosine rule to use? All the videos are compressed mp4

Extension questions testing numeracy, e.g. what are the prime factors of 1001 logic, e.g. how many false statements are in the list below: There is exactly one false statement in this list. There are exactly two false statements in this list. There are exactly three false statements in this list. Provided with answers

Seven christmas themed questions on the following topics: adding fractions, angles in triangles, dividing with fractions, substitution, negative numbers

Practice questions to help pupils prepare for the UKMT Junior challenge. Mix #1 - divisibility, primes, symmetry, counting, angles, remainders, averages, Venn diagrams Mix #2 - DST, probability, counting Angles - triangles, straight lines, regular polygons All provided with answers (full solutions for the problems I made up myself) 2021 - added some similar questions designed to practice the JMC (Junior Maths Challenge, a similar Scottish Competition)

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.

A set of three powerpoints with riddles on such as this: Clock A is broken. It never moves. Clock B loses 10 minutes an hour. If both clock are right at the very start of 2021, how often are they each right in the whole year? Provided with 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)