Have a play around with this task, and please share any questions, extensions, simplifications, modifications, or lines of inquiry in the comment box below. The idea is to collect loads of suggestions that can then be used for effective differentiation. The full set of these tasks, along with additional notes, can be found here: http://www.mrbartonmaths.com/blog/probing-maths-questions-index-page/

A Tarsia activity on linear sequences (nth term rule). These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A game of percenage increase and decrease bingo.

a simple spider diagram where students must find various fraction, decimal and percentage amounts of £240

A 2nd Tarsia activity on Rounding with decimal places and significant figures. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below.

A few years ago I wrote a set of notes for pupils and put them on my website. The notes were supposed to be written in a pupil-friendly way, and different to notes students might find in textbooks or elsewhere on the internet. I have converted the notes to PowerPoint slides so you can download them, adapt them if needed, use them in revision lessons or perhaps give your students a set to take home with them to help them prepare for exams. The chances are there will be a few mistakes here and there, so if you spot any please email me & I will correct them. Hope they are of use!

A Tarsia activity on inequalities. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A nice 'fill in the words' exercise.

A bingo game testing the laws of indices.

A dice game testing pupils' ability to substitute and to investigate expressions.

A Tarsia activity on linear sequences (nth term rule). These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A Tarsia activity on Negative Numbers. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A Tarsia activity on expanding double brackets. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A Tarsia activity on expanding double brackets. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A Tarsia activity on adding fractions. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A Tarsia activity on simplifying expressions. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A Tarsia activity by Alan Catley. This is designed for use when the focus of a lesson is to introduce the concept of the logarithm. The idea is to re-visit negative and fractional indices by asking students to solve the puzzle, discussing issues as they arise. Once completed the concept of the logarithm can be introduced and students can be asked to re-write each match in the puzzle as a log expression.

A nice activity to really test knowledge of area and perimeter.

Algebra Level 5 Group activity A game where students must roll a dice and then use the score plus the instructions on the square they are on to decide how many spaces they can move. This then links into forming algebraic expressions

A Collective Memory activity on Angle Facts. For more information and ideas about how to use this resource, and links to my full index of Collective Memory resources, please visit http://www.mrbartonmaths.com/collectivememory.htm