Four sets of practice questions. Includes: - determining if numbers are prime (and odd or square numbers) - multiples and least common multiples - factors and highest common factor Solutions included

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.

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

Pupils add fractions by shading squares. Simple at first, but gradually they build up to understanding why for example 1/2 + 1/3 = 5/6 Good for lower ability classes who benefit from a visual representation

Four Power Point slides on sequences - the first is simple ‘what comes next’ - the second is counting matchsticks and finding a formula - the third is formally finding a linking formula between ‘S’ and ‘T’ - the fourth is more practice finding and using the relationship between ‘S’ and ‘T’ If you like more challenging ‘What Comes Next’ problems see my separate resource on that. A practice test on sequences. Full solutions attached.

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.

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!

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 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.

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 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

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.

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 Powerpoint of Pythagoras questions covering the following topics: Squaring and square rooting Solving the equations that result from Pythagoras equations Finding long and short sides on triangles(with and without a calculator) ‘Double Pythagoras’ with two applications 3D Pythagoras with a space diagonal Distance between co-ordinates Converse of Pythagoras Answers at the bottom of each slide

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

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.