A bumper set of National 5 Maths resources grouped by topic. Five sets of Questions by Topic Four sets of Revision questions by Topic Whole Course Topic by Topic More Whole Course Topic by Topic Example Questions and Answers Covers everything in National 5: Fractions, Percentages, Inequalities, Straight Line, Brackets, Rearranging equations, Simultaneous equations, Area and perimeter, Function notation, Arcs and sectors, Volume, Pythagoras, Similarity, Quadratics, Trigonometry All provided with solutions

A two page Power Point with questions revising arcs and sectors.

Two Powerpoint slides of more quadratic problems - e.g. path of a projectile, minimum area etc. Answers included.

Three challenging homeworks for Advanced Higher Maths covering the following topics Proof by Induction (lots of this) Direct proof Proof by Contradiction Counterexamples Proof by contrapositive All provided with full worked solutions

A mixed homework with questions on arithmetic and geometric sequences, as well as practice complex numbers, binomial theorem and Gaussian elimination. Full solutions included

Three homeworks and a set of extended questions on the topics of Expansions with the Binomial Theorem Using Partial Fractions Complex Numbers, operations, polynomials, Argand diagrams and De Moivres Theorem All provided with comprehensive solutions

At last! An explanation for why mathematicians like Radians. Divided into six categories Pi is great Rotation Speed Drawing Graphs Calculus Sine expansion Formula Spherical Trigonometry Includes short questions on each category

A worksheet with explanations then questions on radians. Includes converting to and from degrees.

A one page Powerpoint using 3D coordinates to introduce how to find the distance from one corner to the opposite in a cuboid.

A collection of typical Proof By Inductions, around 100 in total. Very useful as a teacher if you are looking for examples to use. Includes all the main categories plus a few unusual ones. They are grouped by category: Divisibility, Greater Than, Summation, Recurrence Relationships, Matrices, Calculus, Fibonacci, Miscellaneous, Geometry, Important Theorems, Extensions and Paradoxes Includes sources for even more example proofs.

A series of 17 one-page handouts each with explanations, examples then questions. Covers Numbers, Negatives, Fractions, Percentages, Algebra. For lower ability classes I print these out and they stick them in their jotters. The topics are: Types of Number, Factors, Powers, Prime Factors, Negatives adding and subtracting, Negatives multiplying and dividing, Fractions of an amount, Equivalent fractions, Mixed numbers, Multiplying and Dividing fractions, Adding and subtracting fractions, Finding percentages, Fractions decimals percentages, Substitution, Multiplying Brackets, Simplifying, Solving Equations)

A fun lesson that introduces Graph Theory through the example of Facebook. The Powerpoint introduces it and then the worksheet lets them practice. Key terms learned are: edges, vertices, degree, connected.

A series of examples and full solutions on the following topics - Volume of a Prism (cuboids, cylinders and triangular prisms) - Surface Area of a Prism (cuboids, cylinders and other prisms)

A series of examples and questions on the following topics: Express a change in value as Percentage Calculate Compound Interest Reverse Percentage Change Appreciation/Depreciation by a Percentage Provided with solutions

Worked examples and questions on these four topics: Substitute values into expressions and evaluate Multiply two brackets Solve inequalities Create and solve inequalities for problems in words Solutions included

Thirteen homeworks each with full solutions, covering the following areas of the course. 1 - Probability 2 - Probability, Sampling, Binomial 3 - Probability, Sampling, Binomial 4 - Binomial, Normal, Poisson #1 5 - Distributions 5a - Distributions and Regressions 6 - Hypothesis Test 7 - Normal Approximation 8 - Control charts, Confidence Interval, Fences 9 - Mean and Variance 10 - Binomial, Normal, Poisson #2 11 - Z and T tests 12 - More Distributions 13 - Wilcoxon and Mann Whitney For some of the homeworks (2,3,5) I have made slightly different alternative versions and they are included too. Update: homeworks 2,5,7 updated March 2023

A one page summary of the four different types of two sample tests: Mann Whitney Wilcoxon Z-test T-test Also extra questions on two sample z-tests for proportions

This contains a dynamic introduction to Stem and Leaf diagrams, using a sort of game. There are then examples to be worked through in groups, and further practice questions to be attempted individually. All provided with answers and commentary.

A problem solving project where pupils use Pythagoras to find how far away the horizon is, depending on your height about sea level. This is an open-ended project, where rather than being given all the information up front the pupils have to work in groups to explore the problem, then reflect on what techniques were effective. It practices several useful skills such as Pythagoras, circle geometry, expanding brackets and rearranging formulas. There is the scope for very good pupils to extend the project in interesting directions.

A series of projects on rearranging formulas. (Note: Some of the embedded equations do not display well on the TES preview but they all display perfectly on the downloadable PDFs) Each project is linked to real life situations, and also includes lots of practice at other KS4 / National 5 Skills: standard form, algebra using brackets, volume formulas, rounding, units, surds.