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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.

A bumper collection of resources for Factorizing Quadratics, including various activities and games and plenty of practice questions, which also include the other types of factorising required for KS4 or National 5 in Scotland. - Jokes and riddles for factorising trinomials - Catchphrase for factorising trinomials - Quadratic problems for real life problems, with trinomials, completing square and finding roots - Extra questions, with five pages of simple factorisation, difference of squares, trinomials and problem solving All provided with answers

This is a series of questions that will guide pupils from thinking only in numbers to thinking algebraically. The questions are increasingly challenging, finishing with some that require a lot of thought and can be investigated further.

This project gives pupils some real life houses from around the world to practice finding the area and perimeter of. The package includes an introductory Power Point then a series of tasks, culminating in designing their own shelter. Skills used: - Area - Perimeter - Units - Scale drawing - Budgeting Full solutions included.

This is a series of questions aimed at making pupils more comfortable with dealing with formulas with fractions in them. I made this worksheet in response to a very bright class who had no problems with most formula but struggled rearranging fractions. Full solutions included. Edit: added powerpoint of extra questions Edit: added some textbook change the subject questions with answers

This is a series of questions testing the basic principles that there are 60 seconds in a minute, and 60 minutes in an hour. They start easy and get harder, including decimals and fractions. Full solutions included.

This is an investigation for the whole class to do at the same time, investigating the seemingly simple idea of the four corners of a rectangle. It will force pupils to get out of the simple thinking that every rectangle has to be lined up with the co-ordinate axes, with a horizontal base and vertical sides. Can be done visually, or for more able pupils with algebra and straight lines. Full solutions included.

There are two comprehensive worksheets here practicing basic skills with decimals. Pupils can work individually going through the questions as revision. Full solutions included.

Pupils learn about money and get the chance to design their own coins. Practices simple skills with money and deicmals, and gets them thinking about currencies in general with some extension questions. This activity is inspired by the Scottish Independence Referendum of 2014.

Two pages of tricky riddles, that will keep pupils busy. The second page is much harder than the first. Requires only simple mathematical ideas but lots of lateral and creative thinking. Solutions provided. Edit: Feb 2025 - added a Powerpoint of riddles to share with the class (with a slight overlap with the worksheet riddles)

This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition. Although they are challenging, they can all be solved without using any advanced techniques. Full solutions included. Edit: Added two more puzzles

This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition. Although they are challenging, they can all be solved using standard techniques. Full solutions included. Edit: added two more puzzles

This is a set of six puzzles presented as large scale Power Points. I used them as colour A3 posters for a monthly maths competition. These puzzles are challenging and give the scope for comprehensive answers. Full solutions included.

These two activities extend from 3 by 3 to 4 by 4 magic squares. Pupils design an individual magic square then search for groups of four numbes that add up to 34 (there are lots). Good practice with simple addition and subtraction strengthening number bonds, then for more advanced pupils using algebra to get a more general solution Edit: Added a bank of more 4 by 4 magic squares that pupils can use to find more groups of 34