A series of four worksheets to give some background algebra, do plenty of examples finding a limit, then for advanced pupils go on to find a general formula for a linear sequence. If you follow this through you will be able to instantly work out the value of the 50th term of u_n+1 = 0.4 u_n +3 (for example). The four worksheets are: - Indices (practice on this) - Algebra (rearranging formula) - Sequences (standard questions on finding limits, and graphing the results) - Investigation (putting it all together to get a general formula) All provided with full solutions.

A series of four worksheets about domain, range and composite functions. There is many lessons work here with lots of practice. The four parts are: - Domain and Range - Composite Functions - Further Functions (combining domain, range, composite) - Extension (proofs about linear functions) All provided with full solutions

A rare chance to see the first ever use of an equals sign "for what could be more equal than two parallel lines" and therefore the first ever equation. Pupils can read the Olde English, translate it into modern equations, then solve them. The first two are linear, the remaining four quadratic. Provided with full solutions.

This is to introduce pupils to decimals, using a context they are probably already familiar with (the time to run the 100 metres). Pupils work in pairs to complete some exercises looking up times, then get familiar with a stopwatch, then compare some decimal times.

The key to exam technique in mathematics is to solve each problem multiple times, using independent methods. You also want an independent check. Mathematicians hate to get things wrong! This presentation and activities will help your students from making mistakes.

What do you do when there's not enough information to solve a problem - or too much? This presentation and activities aims to teach pupils how to handle more difficult problems when it's not clear what to do. There are multiple examples from algebra, geometry and trigonometry.

A presentation and questions for pupils to consider what makes maths problems hard? They will then be better equipped to solve (and create) their own problems. The main way that problems are made more difficult are: - Make the numbers harder - Repeated application - Difficult vocabulary - Extra operation at start or end - Reverse the problem - Hide information in a story - Extraneous information

An interactive activity teaching pupils a few simple memory techniques

A fascinating activity encouraging pupils to think about 'Fixed Points', things that stay the same when there is a change. For example, in the doubling function 0 is a fixed point as doubling keeps it the same. These fixed points have surprising applications, including the amazing result that if you scrunch up one piece of paper and put it on top of a flat identical piece, at least one point is in the same place! Pupils are guided along with a presentation with things for them to think about along the way. Some of the language is GCSE level but the ideas are applicable for all ages.

A short Powerpoint on common confusions such as 6 and 0, s and 5, ( and c and so on. Pupils are made aware of the pitfalls, and given tips for how to avoid them.

A worksheet with five real-life problems that require using very big or very small numbers - How far does the Earth travel in one second - How many Earth's fit in the sun - How long does it take for the Sun's light to reach us - How long does it take to get a radio signal to Mars - How many atoms are in the Earth These require a bit of other basic mathematical knowledge (e.g. area of circle) but mostly pupils are lead through each problem in stages. Full solutions included at the end.

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

A series of fun challenges working out what comes next. Some are mathematical, some require more lateral thinking. Good as an extension activity. Full solutions provided.

This is a free-standing resource on rounding. It involves questions like round 7.232 to two decimal places up to round 10.503 to three significant figures. There are two levels of difficulty (A is easier than B) that both have the same solution. Full solutions included.

This is a free-standing resource on ordering decimal numbers. It involves questions like 3 x 500 up to things like 300 x 22 ÷ 60 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.

This is a free-standing resource on fractions, decimals and percentages It involves recognising groups of identical values like 1/10, 0.1 and 10% up to groups like 4/25, 8% and 0.08. 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.

This is a free-standing resource on simple fractions. It involves questions like 1/4 of 20 up to things like 3/7 of 14. 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.

This is a free-standing resource on ordering decimal numbers. It involves ordering heights like 1.5 metres, 1.43 meters and 145 cm. 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.

This is a free-standing resource on multiplying whole numbers It involves multiplications like 5 x 11 up to things like 3 x 11 x 11 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.

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]