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).

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]

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

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.