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

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

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

A worksheet with four pre-printed distance-time graphs for pupils to interpret. Their answers should be sentences such as "go at 4 metres per second for 3 seconds, then pause for 2 seconds, then ..."

A fun activity looking at number and letter palindromes. Works well for homework. Full solutions included.

A set of Powerpoints revising all aspects of National 5 Mathematics. Useful for extended lesson starters or exam revision. These are the Powerpoints N5 Calculator Revision N5 Non-Calculator Revision N5 Topic by Topic Revision N5 Mixed Revision Set A N5 Mixed Revision Set B N5 Mixed Revision Set C (Harder) All provided with answers.

This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition. Although they are challenging, they can all be solved using standard techniques. Full solutions included. Edit: added two more puzzles

A whole class activity: - a picture is cut into pieces - each pupil makes a scale drawing of their part - the class put them all together Good for practicing scale drawings and having some fun.

A series of fun activities linked to the Olympics. Skills used are: - DST - logic - Stem and Leaf - percentages - rounding

Three standard questions testing pupils can correctly use the Wilxocon test, for determining if there is a difference between two sets of data. There are also two extension questions. Provided with full solutions.

A powerpoint with some simple questions converting between binary and decimal. Answers provided

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