This is an investigation into Pythagorean triples. Pupils will discover more triples, and also investigate using algebra to get a general solution. During the project they will learn to appreciate the value of working generally with algebra to find all solutions. Skills used: - Pythagoras (of course) - Fractions, including adding fractions - Algebra Full solutions included.

A fun activity to practice using simple tally marks, investigate a few other systems, then make up their own. Works especially well with low-ability classes, who all like making up their own tally systems.

This is a 2-page write on worksheet that tests these basic skills: - Lines of symmetry - Names of 2D shapes - 2D shapes that can be convex and non-convex Pupils can write directly on the sheet. Full solutions included.

A series of questions testing speed calculations, which are the ones pupils find hardest in DST. Full solutions provided.

A bumper set of revision questions on the topics of sequences, functions, logarithms and circles, presented in the style of a ‘clinic’ where pupils can get help for their medical maths problems. When I last used this for revision I printed each one in A3 and put them on tables for pupils to attempt in groups. **Update ** A colleague has written out full solutions which I’ve now added. Correction #1: Sickly Sequences Q4 the first sequence definition should end ‘+2’ instead of '-2’ Correction #2: Vicious Circles Q4(a) the tangent line should be ‘2x+3y=0’

A thorough test of differentiation skills. Covers differentiating polynomials and trig (chain rule but no product or quotient rule), tangents and stationary points. I’ve included the original homework, a version with hints (that my class needed) and full solutions.

Some revision questions on the topics my Higher Pupils found tricky this year log equations (e.g. cooling water, and algebra with logs) trig equations (algebra and wave equation) integration (polynomials and trig) There’s also a practice test which I took from somewhere and typed up solutions. I just used it as revision.

A worksheet of practice questions on everything to do with Higher Functions. domain and range max value of a function inverse functions tangent to a function showing a function is always positive sketch of a function differentiating a function quadratic inequalities

A booklet for pupils to fill in with practice questions on curve sketching, of trig graphs and log graphs. Includes translating graphs. Q1 & Q2 are taken from past papers. Q7 and Q8 are left blank for extra questions. Full solutions at the end.

A write-on worksheet with 18 short questions revising exact values of trigonometry, Most questions simple e.g. sin(60) and also includes angles above 90 degrees, radians and a few questions on inverse trig. Solutions at the end.

This is a series of worksheets testing a range of algebra skills. This is the rough order of increasing difficulty: Simplify and Brackets - Simplify 2t + 5t - Simplify 2(x+3) – 4 Substitution - If a = 3 and b = 2 find 3a – b Inequalities - Find the set of dice rolls where x > 3 and x Consecutive numbers - Find two consecutive numbers that add up to eleven Full solutions included.

A fun activity looking at number and letter palindromes. Works well for homework. Full solutions included.

These are a series of fractions problems set in real life contexts. They all involve percentages that can be converted into simple fractions, such as 10% = 1/10. Because of the real life contexts and gradually increasing difficulty I have found that even pupils who normally struggle will be keen to finish the sheet.

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 tricky challenges to complement usual class work, using a full range of maths skills: - trigonometry - simultaneous equations - algebra - fractions - area - logic Can be used as extensions or homework. Full solutions included.

This is an investigation for pupils to discover that the more sides you have on a polygon, the closer the area comes to that of a circle. In fact, using polygons was how people once estimated pi. Skills used - trigonometry - area - algebra - Pythagoras Full solutions included.

This is four different whole class activities practising times tables. There are four versions of the same game, with increasing difficulty: - easy multiplication, up to 7 x 7. - slightly harder multiplication, up to 8 x 8 or 9 x 7. - all multiplication up to 9 x 9, with few easy questions - all multiplication up to 12 x 12.

This is an investigation to get pupils thinking about different units. The Power Point begins with an introduction, then a few questions to get pupils thinking about different units, and finishes by describing the investigation they should do, finding out more about one type of measurement and presenting their results.

A fun activity to practice using simple tally marks, investigate a few other systems, then make up their own. Works especially well with low-ability classes, who all like making up their own tally systems.

This is an investigation into Pythagorean triples. Pupils will discover more triples, and also investigate using algebra to get a general solution. During the project they will learn to appreciate the value of working generally with algebra to find all solutions. Skills used: - Pythagoras (of course) - Fractions, including adding fractions - Algebra Full solutions included.