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)

This is a series of simple questions to give pupils practice in estimating a variety of different units in real life circumstances. The questions are straightforward but should produce a good basis of discussion. There is estimation in a variety of units and also some measuring. Full solutions included.

A Power Point showing the most common 3D objects (technically 'shapes' refers to 2D, and 'objects' to 3D). Useful for an introduction or for revision, and in getting the correct vocabulary

Extra resources for this SQA course: - a guide to conducting six experiments and some example data - a guide to hypothesis tests including Excel spreadsheets to work on - some example experimental data and the output of applying statistical tests to it

Four different homeworks for this SQA course, covering all of basic statistics. Each is included with full solutions, including Excel work.

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 revision material for a range of basic techniques, finding e.g. - 2/5 of 20 - 25% of 40 - 35% as a decimal Full solutions included.

A series of questions revising a full range of skills. Full solutions provided. Part One Decimals addition, subtraction, multiplication Adding Fractions Fractions Fractions, Decimals and Percentages Prime Numbers Mean, median, mode and range Stem and Leaf Co-ordinates Solve equation from formula Negative Numbers s Angles Part Two Rounding decimals Find percentage with a calculator Ratio Probability Time differences Area of 2D Shapes Composite area

Practice in forming and solving simultaneous equations. We often talk about equations being 'in balance' and 'doing the same to both sides'. This worksheet makes that visual idea very obvious to pupils as they are presented with a series of balanced seesaws with animals on them. Each pair of seesaws leads to a pair of simultaneous equations, which can then be solved in the usual way, to find the weight of each animal. Provided with solutions.

This is an investigation into Pythagorean triples. Pupils will discover more triples, and also investigate using algebra to get a general solution. During the project they will learn to appreciate the value of working generally with algebra to find all solutions. Skills used: - Pythagoras (of course) - Fractions, including adding fractions - Algebra Full solutions included.

Two sets of worksheets with solutions on - frequency tables - mean, median, mode and range

These two activities extend from 3 by 3 to 4 by 4 magic squares. Pupils design an individual magic square then search for groups of four numbes that add up to 34 (there are lots). Good practice with simple addition and subtraction strengthening number bonds, then for more advanced pupils using algebra to get a more general solution Edit: Added a bank of more 4 by 4 magic squares that pupils can use to find more groups of 34

What do you do when there's not enough information to solve a problem - or too much? This presentation and activities aims to teach pupils how to handle more difficult problems when it's not clear what to do. There are multiple examples from algebra, geometry and trigonometry.

A powerpoint of short mixed revision questions. On the topics of negative numbers, brackets, solving equations, expand and simplify and then mixed revision. Can be used as a starter or revision.

A series of worksheets with practice questions on topics in the Advanced Higher Mechanics Course: - Centre of Mass, Energy, Freefall, Gravity, Momentum, Projectiles, Vectors, Work Energy & Power, Vectors Closest Approach, Circular Motion (including notes), SHM (including notes), mix of SUVAT/Kinetmatics/Vectors All with full solutions Updated Dec 2020

A mixed homework with questions on arithmetic and geometric sequences, as well as practice complex numbers, binomial theorem and Gaussian elimination. Full solutions included

These are a series of fractions problems set in real life contexts. They all involve percentages that can be converted into simple fractions, such as 10% = 1/10. Because of the real life contexts and gradually increasing difficulty I have found that even pupils who normally struggle will be keen to finish the sheet.

If everyone has to keep two metres apart, how many people can you fit in a room? This is a series of five challenges, each involving a room more difficult than the one before. Although it is not obvious to begin with, pupils will need to use Pythagoras to check that their people are all at least two metres apart. Full solutions included.

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

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