An Excel simulator does twenty samples each flipping a fair coin one hundred times. Each sample generates a confidence interval for the mean number of heads. On average, 19 out of the 20 confidence intervals will include the true mean of 50 heads, This simulation can be run many times (by pressing F9) and each time a new graph visually updates, showing how confidence intervals work. The number of flips and the probabilities can all be changed too.

Mixed percentage questions, on these topics - percentage change - repeated percentage increase or decrease - reverse percentage

This is a free-standing resource on multiplying whole numbers It involves multiplications like 5 x 11 up to things like 3 x 11 x 11 It's taken from a Murder Mystery Package I wrote hence it includes a small riddle element at the end. There are two levels of difficulty (A is easier than B) that both have the same solution. Full solutions included.

Simple questions testing multiplication and division, starting easy then including decimals. Now with answers on the Power Point. See the (Premium) Numeracy Starter Questions #2 for more

This is a free-standing resource on multiplication (and addition) of decimals It involves multiplications like 4 x 0.64 up to things like 11 x 1.25 It's taken from a Murder Mystery Package I wrote hence it includes a small riddle element at the end. There are two levels of difficulty (A is easier than B) that both have the same solution. Full solutions included. [Edit - following a comment by angelpax I've fixed the phrase at the end]

A simple worksheet with many questions such as 'reduce £70 by 20%'

Two sets of worksheets with solutions on - writing numbers in words - adding and subtracting whole numbers - time intervals and 24 hour time - order of operations (BODMAS) - multiplication and division by e.g. 10, 200, 3000 - long multiplication - rounding with significant figures

Mixed resources covering the difficult topic of proof (contrapositive, proof by induction, direct proof and counterexample). Includes proof by induction questions, a Powerpoint with slides of questions, and a bank of other questions.

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

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

A six-page worksheet with hundreds of questions broken down into topics, with a key rule followed by practice questions. It starts simple with positive indices then covers all other areas. Topics are: - multiplying and dividing - powers of powers - numbers in brackets - numbers and letters - to the power zero and one - negative powers - square roots - fractional powers - fractional negative powers Provided with answers in the same document. I wrote this as I couldn’t find any other resource that takes pupils slowly through all the different types of question. Edit: added Indices Summary Powerpoint/PDF which I print out to give to pupils.

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.

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 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.