Four sets of simple questions for pupils to practice basic skills with fractions, percentages and decimals. Good for revision or consolidation. Includes - converting between fractions, decimals, and percentages - ordering a mixed list of all three - equivalent fractions - adding fractions - mixed numbers and improper fractions Solutions included.

A Powerpoint introducing the following tricky problems for pupils to think about. -99 Coins 100 Seats on a Plane Special dice Expected wait time Pascal’s Wager Solutions in the notes at the bottom on the Powerpoint See also my resource on Monty Hall Problems

Duality is an important concept in understanding mathematical problems. Sometimes a problem can be ‘reveresed’ by considering it’s dual, for example swapping around lines and points in a triangle. This Powerpoint looks at how duality appears in the following contexts division and subtraction 2D shapes and 3D shapes 2D graphs including the Fano Plane

Magic Squares are just the beginning! A Latin square is a grid where each symbol appears exactly once in each row a column - recognisable to most pupils as being like a Su Doku. This resources extends that idea to look at double and further Latin Squares. These are useful for many things (see e.g. my other resource on Dobble)

A colourful poweroint introducing a new idea for most pupils. In standard 2D geometry parallel lines never meet. In projective geometry we add an extra point (infinity) where the lines meet. This turns out to be useful for various problems (e.g. see my other resource on Dobble).

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

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)

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

Two pages of Powerpoints with answers on simple questions like If f(x)=3x+4, find f(5) Then tests fractions and negatives, and finally more difficult questions like If f(x)=3x+4, and f(a)=19, find a

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. Edit: Nov 2024 updated answers in Non-Calculator Revision

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

A set of six challenging problems where pupils must use all the digits 1-9 exactly once each, for example: Find two three-digit numbers that sum to another three-digit number Solutions provided.

A Powerpoint with five routine questions on Integrating factor. Provided with answers.

A set of five harder problems about finding the mean which involve pupils using the fact that the total is the number of data points times the mean (or using algebra). Provided with solutions.

Two extra tasks for pupils doing the Higher Statistics Module. Task 1 is using Excel to analyse some Covid infection data using regression analysis. This has example solutions inline. Task 2 is conducting a survey . Included are example model solutions…

A teacher-led Powerpoint investigation into randomness to be done at the end of a topic about probability. The five short topics are Pick a random number Heads and Tails experiment Lottery Random numbers Digits of Pi What is randomness? The aim is for pupils to understand that ‘random’ isn’t truly random after all!

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

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.

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