Surds practice from basic simplifying to expanding brackets to rationalising denominators. This encourages workings and the students to work backwards (what's the question given this answer?) so should also encourage discussion in class.

This is aimed to cover as many aspects of fractions as possible: equivalence, of an amount, adding/subtracting, multiplying dividing but in a fashion so that they have to think about it rather than just have hundreds of questions doing essentially the same thing.

This is a different way to allow students to gain some practice in short bursts and helps introduce fractional indices. The point is to generate discussion in class whilst the students do some work.

This gives students a question and four potential answers; they must choose the correct answer and then explain what the three wrong answers have done incorrectly. Topics include simplifying expressions, expanding brackets, factorising expressions and solving equations with the variable on one side. I have purposely only highlighted the correct answer and not suggested what has been done incorrectly with the other solutions so students (and staff) aren’t tainted by my personal thinking and develop their own. I am hoping this will lead to some great mathematical discussions in the classroom.

There are 8 sets of five questions that have been answered either correctly or incorrectly, the students have to decide which. These are designed to create discussion in classrooms and include one-step, two-step, brackets, variables on both sides, equations involving fractions, simultaneous equations (linear only) and quadratic equations (both factorised and non-factorised). Hopefully there should be something for all levels up to GCSE.

There are 8 slides involving 5 questions on each. Answers are given for each question but students must decide whether those answers are correct. There are also “answer slides” but no explanation intentionally because this should invite discussion. The slides move through Pythagoras, trigonometry in right-angled triangles, whether the triangle is right-angled or not, exact trigonometric values, trigonometry in non-right-angled triangles including some worded problems. As I said before, the whole point of these is to create discussion points in class. Hyperlinks now work; sorry for neglecting this initially!

Four slides each with four questions where they have the answer but not all the information in the question. This is designed to get the students to think and demonstrate their understanding by working backwards from answer to question. These have been quite successful for encouraging discussion in class and being an extension task.

Given one coordinate, can students come up with a second coordinate so that the line between the two meets certain criteria? This is an activity designed to create discussion, covering gradient and equations of lines. Extension should be pretty easy, allowing students to generate equations of lines etc. I have left a slide template so that you can create your own if you wish.

There are six slides with a percentage and fraction sales-related question question. This involves calculating sale prices, working out which sale would offer the best price and finding the original price given the sale price. This is designed to create discussion in class.

This is a presentation involving six real recipes (linked on each slide) and their ingredients which students have to work with to make the number of each required. This is designed to create a bit of discussion and the questions get more challenging as you work through them.

Surds appearing in contexts such as formulae/expressions, area, equations of lines, quadratic expressions, similarity, Pythagoras, trigonometry, speed and density. Enjoy the Erasure album track too…

Ten questions of increasing difficulty (you can choose which you do); four hypothetical students have had a go and one has got the answer correct with the other three making common errors. Not only should your class work out who got it correct but as an extension/part of the activity they could work out the misconception for the wrong answers. This involves lines, polygons, quadrilaterals, circle theorems and bearings.

Find the appropriate equivalent fraction and find the punchline to Tim Vine’s joke; designed as a bit more practice for some of my Year 7 and 8 classes, but could be useful for others. I have uploaded PDF versions so those who don’t have Equation Editor can see them; no need to thank me…

This covers sharing in a given ratio, simplifying and recipes. Each spider has challenges for discussion when seeking solutions. Designed to encourage discussion.

Six trees taking students through simplifying, fractions of an amount, add/subtracting, multiplying/dividing, mixed numbers. Four questions on each getting progressively harder so students can choose the level they start (and finish). Good for starters or plenaries(?).

Eight problems involving angles in parallel lines, probability, averages, area/perimeter, ratio, Venn diagrams, percentage change, arithmetic/geometric sequences where to solve them you can use simultaneous equations. There is a question slide and a solution slide.

Eight situations where forming and solving an equation could be required; topics include Perimeter, angles, averages, percentages, fractions, compound measures, probability and ratio (the final two involve quadratics). Read the instructions and from that form and solve. I have done solutions should you need them.

This not only lists all the topics on the IGCSE maths syllabus but also gives an example of what they all are so you don’t get the continual question “what does this topic mean?”. I put a RAG analysis against each too so that students can focus revision to where it’s required. A few topics added including expanding 3 brackets, transforming functions, an extra indices example, shading regions (I originally left this off by mistake) and adding/subtracting algebraic fractions. I have just added some more examples of transformations and constructions plus summing arithmetic sequences and recurring decimals. Also includes Sparx activity codes (you can delete if you don’t want those). There are now answers (which I have done quite quickly so hopefully not too many errors!).

I found an image of lots of the Star Wars vehicles on the internet and noticed that loads had symmetry; hence this was produced. I have downloaded a Star Wars font hence it’s a PDF as unless you have downloaded the same font the text will be in a dull font. Pretty simple mathematically but could lead onto more difficult stuff.

Four “Show that…” questions involving inequalities; this is more about the method and workings than getting the final answer. This should involve good mathematical discussions.