Some condensed notes for Advanced Higher Mechanics which include all the key formulas that pupils need to memorise.

Practice Questions on one-sample and two-sample versions of the following tests • z-test for a difference in population means • t-test for a difference in population means (including paired) • z-test for a difference in population proportions

A Powerpoint with some introductory distance-speed-time questions, then an activity for group work: Each group is travelling from Glasgow to London via a different method of transport - plane - train - car - coach - cycle -walk

A collection of misleading graphs, for pupils to recognise the flaws with. These are all taken from real life publications.

An interactive Who Wants to Be a Millionaire game focused on numeracy questions. The questions near the end get very tricky! They are on the following topics - percentage, area, ratio, factorising, probability, volume, negative numbers, difference of squares, scale factors, angles, sequences, DST I normally do this with pupils writing their letters on mini-whiteboards before the right answer is displayed, and you can also do something with the lifelines if you like.

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.

An investigation for pupils about the classic Four Colour Theorem. Some background and examples, then a chance for them to have a go at. Makes a change from the usual end-of-term colouring!

A comprehensive set of 15 questions (with a,b,c) testing the following skills converting between improper fractions and mixed numbers converting between fractions, decimals and percentages adding, subtracting, multiplying and dividing fractions finding percentages applying percentage increase and decrease Solutions at the end.

This resource is designed to give pupils much-needed practice on where points move after a transformation, for example: Where does the point (2,4) on the graph f(x) appear on the graph 3f(x)+1? The first questions are basic practice then pupils look at progressively more complicated graphs, including some practice finding the turning points and range and domain. Provided with solutions.

Many powerpoints, worksheets and a homework with mixed revision questions. Topic specific revision questions on the following topics, as both Powerpoints and PDFs. Circles Complete the Square Differentiation Functions Log Graphs M=tan theta Polynomials Straight Line Straight Line & Functions

Two write-on practice tests for Higher Maths pupils on the following topics: Test #1 - Straight Line, Functions, Quadratics, Surds, Indices Test #2 - Functions, Graphs, Polynomials Both can be done with a calculator. With full solutions

A series of three Power Point slides on tricky log questions. Useful for revision of Higher Maths. Edit: added logs and exponential graphs.

Tips, questions, and solutions covering the following topics: Sequences, Lines, Circles, Vectors, Logs, Polynomials and Functions. Edit: Added 2023 exam tips

First homework covering Integration (polynomials and simple trig, area between curves) Revision (functions, circles, trig graphs, sequences) Edit: added second longer revision sheet covering polynomials trig calculus Full solutions included

A Powerpoint introducing negative numbers, then some practice with temperatures.

A series of practice questions on the following converting between improper fractions and mixed numbers adding, subtracting, dividing and multiplying fractions converting between fractions, decimals and percentages Included with answers Edit 2022 -added More Fractions Powerpoint and PDF

A powerpoint with one question - exploring why going from 20 to 25 is not the same as going from 25 to 20.

A selection of questions (with full solutions) each asking 'how many ways' can something happen. Begins with simple problems that are small enough that they can be done without any special technique, then problems that require the 'multiplication principle' then on to permutations and combinations.

A series of extension projects about counting. Each question is a seemingly simple problem that introduces pupils to combinatorics. For example: - how many ways can you make change for a pound? - how many four digit numbers have digits that sum to 9?

A fun lesson with shapes for pupils to cut out and reform. Everyone should have fun with this. Although even young children can understand dissection it hides complicated mathematics in geometry in proof. The dissections to try here are: - A rectangle into a square with one cut - A vase into a square - An equilateral triangle into a square - A 8 by 8 square into a 13 by 5 rectangle (!) - A couple of miscellaneous shapes - An approximate dissection of a circle into a square