Earliest recommended Year group: Year 7. Based on the nRich task. Using their own numbers (following a rule) the pupils form fractions and carry out operations on them. All answers are the same. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

This is a rich Venn Diagram activity on co-ordinates in all quadrants. To access all the Venn Diagram activities in this collection, as well as teaching notes, please visit: http://www.mrbartonmaths.com/venn.htm Here is why I love Venn Diagram activities so much: 1) Students can always make a start. If they can think of a number/expression/object or whatever it might be, it has to go in one of the regions on the diagram, so they are up and running 2) The more regions student find, the more challenging the task gets, which adds a nice element of differentiation 3) They are incredibly versatile, and can be used for almost all maths topics for all ages and abilities 4) They are easy to tweak by simply changing one of the circle labels if you find they are too difficult/easy 5) Students can create their own as an extension task I hope you and your students enjoy them.

This is a rich Venn Diagram activity on simplifying and sharing in a ratio. To access all the Venn Diagram activities in this collection, as well as teaching notes, please visit: http://www.mrbartonmaths.com/venn.htm Here is why I love Venn Diagram activities so much: 1) Students can always make a start. If they can think of a number/expression/object or whatever it might be, it has to go in one of the regions on the diagram, so they are up and running 2) The more regions student find, the more challenging the task gets, which adds a nice element of differentiation 3) They are incredibly versatile, and can be used for almost all maths topics for all ages and abilities 4) They are easy to tweak by simply changing one of the circle labels if you find they are too difficult/easy 5) Students can create their own as an extension task I hope you and your students enjoy them.

This is a rich Venn Diagram activity on the laws of indices, including fractional and negative powers To access all the Venn Diagram activities in this collection, as well as teaching notes, please visit: http://www.mrbartonmaths.com/venn.htm Here is why I love Venn Diagram activities so much: 1) Students can always make a start. If they can think of a number/expression/object or whatever it might be, it has to go in one of the regions on the diagram, so they are up and running 2) The more regions student find, the more challenging the task gets, which adds a nice element of differentiation 3) They are incredibly versatile, and can be used for almost all maths topics for all ages and abilities 4) They are easy to tweak by simply changing one of the circle labels if you find they are too difficult/easy 5) Students can create their own as an extension task I hope you and your students enjoy them.

This is a rich Venn Diagram activity on Transformation of Functions, including f(x). To access all the Venn Diagram activities in this collection, as well as teaching notes, please visit: http://www.mrbartonmaths.com/venn.htm Here is why I love Venn Diagram activities so much: 1) Students can always make a start. If they can think of a number/expression/object or whatever it might be, it has to go in one of the regions on the diagram, so they are up and running 2) The more regions student find, the more challenging the task gets, which adds a nice element of differentiation 3) They are incredibly versatile, and can be used for almost all maths topics for all ages and abilities 4) They are easy to tweak by simply changing one of the circle labels if you find they are too difficult/easy 5) Students can create their own as an extension task I hope you and your students enjoy them.

This is a rich Venn Diagram activity on perimeter, area and volume of rectangles. To access all the Venn Diagram activities in this collection, as well as teaching notes, please visit: http://www.mrbartonmaths.com/venn.htm Here is why I love Venn Diagram activities so much: 1) Students can always make a start. If they can think of a number/expression/object or whatever it might be, it has to go in one of the regions on the diagram, so they are up and running 2) The more regions student find, the more challenging the task gets, which adds a nice element of differentiation 3) They are incredibly versatile, and can be used for almost all maths topics for all ages and abilities 4) They are easy to tweak by simply changing one of the circle labels if you find they are too difficult/easy 5) Students can create their own as an extension task I hope you and your students enjoy them.

This is a rich Venn Diagram activity on equivalence of fractions, decimals & percentages. To access all the Venn Diagram activities in this collection, as well as teaching notes, please visit: http://www.mrbartonmaths.com/venn.htm Here is why I love Venn Diagram activities so much: 1) Students can always make a start. If they can think of a number/expression/object or whatever it might be, it has to go in one of the regions on the diagram, so they are up and running 2) The more regions student find, the more challenging the task gets, which adds a nice element of differentiation 3) They are incredibly versatile, and can be used for almost all maths topics for all ages and abilities 4) They are easy to tweak by simply changing one of the circle labels if you find they are too difficult/easy 5) Students can create their own as an extension task I hope you and your students enjoy them.

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/richtasks.htm

Earliest recommended Year group: Year 10. Discovery of two circle theorems. Pupils mark out angles on a chord and cut them out and compare. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 8. Simple game that finishes on 1, whatever your starting number. Leads to creating expressions and proof. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 9. Based on RISP 9 from Jonny Griffiths. Pupils choose certain values and draw their own circle. All circles go through the origin. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 9. Work out the area of two triangles given the area of two others which all fit in a trapezium. Each problem is different but all the answers are the same. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 11. Four crescents are drawn around a rectangle. All rectangles are different and the area of the crescents is equal to the rectangle. Surd (area = 1) and non-surd (area = 900) versions available. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 12. Based on RISP 3 by Jonny Griffiths. Pupils have to simplify some algebra, that they have generated. All have the factor (x+1) This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 12. Pupils need to find out where a parabola and a hyperbola just touch This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 10. Pupils are given the nth term of a sequence and are asked to find specific (non consecutive) terms in the sequence. It is the Fibonacci sequence. The task involves surds and indices. Then they are asked to prove that the ratio of consecutive terms tends to the golden ratio. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 12. Given certain facts about a parabola the pupils have to determine its equation. Then they need to integrate the function to work out ratios of areas. There is a neat solution that makes it very easy to do - which you can show them at the end. A further extension is to challenge them to do it without integration. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 13. Given the 3D coordinates of four points what is the volume of the tetrahedron that is formed by joining them with line segments? This brings together just about everything they need to know about vectors and so is a good revision task. Using the triple product to solve it takes some of the fun out (hence suitable up to C4). Of course, the volumes are all the same.... but why? This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 7. Get pupils to draw a quadrilateral that they think will not tessellate. Then reproduce it using the Geogebra file and show that it does. Then show a picture proof. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm

Earliest recommended Year group: Year 11. Work out the area of a triangle with an inscribed circle. Answers are all different but easily calculated from the given parameters. This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm