I wrote this for IGCSE Maths but it could be used at A Level as it involved summing arithmetic series as well as finding/using the nth term.

This is designed to help students through the thought process of where a graph will be given its equation. I have given options as to shape and asked where the graph will intersect with the axes. It involves linear, quadratic, cubic, reciprocal and exponential graphs as well as a couple of challenge ones at the end.

I wanted some problems involving trigonometry (both right-angled and non-right-angled) and thought I’d mix them up with circle theorems for a particular class. Hopefully these will make them think a little bit. There are animated solutions should you want them. One typo corrected…

Four matchings - two relatively easy and two more challenging. These are designed to be used as starters or plenaries and will hopefully give students the confidence to tackle tougher problems than they usually do.

A colleague suggested using Amazon reviews of albums to calculate averages from frequency tables/bar graphs, so I did. Hopefully it is useful. I have chosen albums that have similar ratings for a reason, plus the students will rip my music taste apart (little do they know that my music taste is far superior to theirs…).

Answer the average and range questions to reveal the aquatic joke; this involves basic calculations, averages problems and a frequency table. These are useful in the classroom, online and as a homework task.

Four “show that…” questions that encourage explanations ahead of final answers (which are already given). These are designed to create discussion and get students to think about the steps they are taking.

Six students run a race and their races are described; draw the graphs then work out in which order they came.

This is part of a genuine news article from the BBC News website. Students are required to calculate the percentage changes in the article.

Three worksheets from the "Defuse The Bomb" series starting from basic stuff up to wordy questions. Hopefully I have corrected a repeat on number 1.

This is designed to create discussion in class regarding average and range whereby students change one value in a set of numbers in order meet certain requirements. The final two slides are similar to a Don Steward task where students can change numerous values to meet three average and range requirements. I have left a template on the presentation so that you can create your own if you like.

Three “spiders”: one on perimeter and two on area. Each slide contains six questions; four contain a diagram from which a formula needs to be derived and two contain a formula where students can draw their own diagram (this should lead to interesting discussions and thought processes).

There are six “spiders” each with four increasingly challenging quadratics to solve, including completing the square and using the quadratic formula. Different blanks are left for students to fill in, working forwards to the solutions, backwards from the solutions, from partially complete questions and a mixture of all three. These have been very useful in online lessons.

Designed for AQA Further Maths Level 2 Certificate course (the style of questions in particular) but could be used at A level too. Answer the questions, reveal the (really rather good, even if I do say so myself) joke.

This was born out of a conversation in our department; it revises products of prime factors and then uses them to simplify surds. There is a challenge side of this two-sided sheet where the surds are only partially simplified. Typo in answers corrected.

Scrat is the sabre-toothed squirrel in the Ice Age films. Watch the video and answer the questions on areas of circles and units of measurement. This is designed as either a starter or plenary. Video (http://www.youtube.com/watch?v=etKCHLgW_o0) now on the powerpoint.

This idea is from Craig Barton and is an excellent one (check them out his at website); essentially it is four questions based on the same information. There are four here which use fractions, percentages, probability, ratio, volume, money, upper and lower bounds, speed, standard form as well as other topics. This really should create discussion and a deeper understanding of the topics covered on top of ensuring that students actually read the question. I hope these are worthy! I will be using these as starters or plenaries.

Find the missing values in each coordinate given the equation of the graph to reveal the fish-related joke. Ideal for use in the classroom, online or as a homework task.

Find the letters upon which the shapes land on and uncover the joke on a fish theme. These are popular (no matter the quality of the joke) in both online and in-person lessons.

Based on the format of the BBC game show “Impossible”, there are 12 questions with 3 potential answers: one is correct, one could be correct in another context and one is impossible. These are designed to create discussion and debate in class, possibly leading on to other mathematics. I have left a template slide at the end so you can write your own if you wish.