This aims, through four separate, increasingly difficult sheets, to give students a chance to show that they can share in a given ratio as well as simplify ratios. I have used different units and specified units to be used in most cases meaning that students must convert. Hopefully this will allow students to demonstrate their understanding of the topic and will encourage discussion.

Factorise and solve the quadratic equations to reveal the punchline to a (lame) joke.

I found a simple bar chart online breaking down where the money from a CD sale goes and came up with this. It's mainly percentages, but there are exchange rates and calculations to be done too. I&'m sure you can all come up with other questions about it, but this is what I dreamt up!

The usual concept: do some maths to find the punchline to a cheesy (fish-related) joke. These work well both online and in class due to the answer spelling something so students know whether they are doing it right (or wrong!) quite quickly. There are two codbreakers here: one on expanding a bracket and one on factorising into a single bracket. Typos corrected…

One punchline to find here; it’s simple using of a function machine in each case, both finding an output or finding an input. These seem popular in my lessons…

Cut the cost of producing your box of Valentine's Chocolates by reducing the amount of packaging you have. Surface area and could be taken to varying levels of difficulty.

The usual business: answers some maths questions, find the letters from the table and get the punchline to a terrible joke. Ideal for starters, plenaries, whatever you like (you’re an adult).

The Solid Caravan Company is planning to sell some avant garde caravans of different mathematical shapes but need to put each design's capacity in the brochure in cubic metres. Can you help calculate the volume in each case? Cube, cuboid, cylinder, triangular prism, square-based pyramid and cone shapes used. (The maximum width has to be 2.9m to avoid requiring a police escort for being a "wide load" by the way).

The usual activity on these but with vectors this time. Students can check that they are doing the right sort of thing as possible answers are on the sheet. Designed to be a starter/plenary.

Answer the probability questions, link them to the probability scale and unjumble the punchline to a fish-related joke. These have worked really well in online lessons, but also work well in in-person lessons, despite the groans regarding the jokes…

Calculate how much the catering compnay should order of each ingredient. The recipes are about right (if a little bland) as they are lifted from the BBC website essentially.

Erica is struggling with differential equations and regions bounded by two curves. Seriously, she needs some help so please get your students to explain what she has done and correct her homework. This gives students the opportunity to demostrate their understanding.

Santa wants no wastage this year so work out the smallest amount of each group of toys that are made in different sized batches.

Same as all the others - answer the questions and unjumble the letters to find your next destination.

I have three more of these (obviously) but not one where one must multiply/divide algebraic fractions so I thought I’d write one. The usual terrible joke for students to find.

Another joke whose punchline is revealed upon doing a load of maths. This is designed as a plenary/starter. Numbers 1 and 2 in the "Solving Quadratics" series are uploaded from months ago. Error corrected this time I hope!

Six "spiders" on six different sets of angle properties starting with "on a line", "around a point", "triangles", "polygons", "parallel lines" and "circle theorems". The final two require students to name the property used and I have left a couple of the parallel lines with the answers filled in so that students can draw their own diagram. The activity is designed to create discussion.

Four matchings getting increasingly difficult at they go Firstly spot the correct formula for the correct triangle, the next two calculate a missing side and finally use Pythagoras to find the area of a shape. These have been designed to be used as starters or plenaries but you could use them as a main lesson activity; up to you.

No knowledge of cricket required, just some names of counties! Choose the correct numbers from the list and unjumble the letters.

This PowerPoint and three codebreakers takes students through bases; this should help students understand why we carry/borrow when calculating mentally.