Welcome to Goal Free Problems! This site has been set up to allow teachers to access and share goal free problems created by myself and others. Goal free problems have been proven to support pupils in improving their knowledge and understanding by removing the cognitive load of the goal and therefore not prompting means-end analysis of a problem. I have started the site off with 100 Foundation tier problems and 100 Higher tier problems and I hope people will add more as they become interested (see the "Submit a Goal Free Problem" link at the top of the page)
Ratio and Proportion
Here you will find resources generally designed to improve pupils' knowledge and understanding of Ratio and Proportion
Foundation Ratio and Proportion Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original problems are here.
Higher Ratio and Proportion Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers. The original problems are here.
Foundation Ratio and Proportion Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original problems are here.
Higher Ratio and Proportion Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers. The original problems are here.
Data Handling and Probability
Here you will find resources generally designed to improve pupils' knowledge and understanding of Data Handling and Probability.
Foundation Data Handling and Probability Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original questions are here.
Higher Data Handling and Probability Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers. The original questions are here.
Foundation Data Handling and Probability Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original questions are here.
Higher Data Handling and Probability Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers. The original questions are here.
Geometry and Measures
Here you will find resources generally designed to improve pupils' knowledge and understanding of Geometry and Measures
Foundation Geometry and Measures Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original problems are here.
Higher Geometry and Measures Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers. The original problems are here.
Goal Free Cylinder Problem - Provided by Matthew Fox at Colmers School, this problem asks for any information possible from a cylinder with given height and radius.
Goal Free two triangles problem - Provided by Jamie Whatley (@MrWMaths on twitter), adapted from an exam wizard exam question about two triangles joined along a length. Nice for Pythagoras, Trig, Area, Perimeter and more.
Angles Goal Free problems - A new set of 27 Goal free angle problems, using all main angle properties. The last two also involve algebra.
Foundation Geometry and Measures Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original problems are here.
Higher Geometry and Measures Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers. The original problems are here.
Goal Free Cylinder Problem - Provided by Matthew Fox at Colmers School, this problem asks for any information possible from a cylinder with given height and radius.
Goal Free two triangles problem - Provided by Jamie Whatley (@MrWMaths on twitter), adapted from an exam wizard exam question about two triangles joined along a length. Nice for Pythagoras, Trig, Area, Perimeter and more.
Angles Goal Free problems - A new set of 27 Goal free angle problems, using all main angle properties. The last two also involve algebra.
Number
Here you will find resources generally designed to improve pupils' knowledge and understanding of number.
Foundation Number Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original problems are here.
Higher Number Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers. The original problems are here.
Foundation Number Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original problems are here.
Higher Number Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers. The original problems are here.
Algebra
Here you will find resources generally designed to improve pupils' understanding of algebra:
Foundation Algebra Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original questions are here.
Higher Algebra Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.
Foundation Algebra Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers. The original questions are here.
Higher Algebra Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.
The original questions are here.
A-Level goal free problems
Here is where I will add specific collections of problems suitable for A-Level
Algebra and Coordinate Geometry - A set of 30 algebra and coordinate geometry goal free problems based on Edexcel questions for the new A-Level.
Basic Calculus - A set of 30 basic differentiation and integration goal free problems based on Edexcel questions for the new A-Level. By basic I mean nothing that involves something like the chain, product or quotient rules, or integration by parts/substitution etc.
Trigonometry - A set of 30 trigonometry goal free problems based on Edexcel question for the new A-Level.
Sequences and Series - A set of 30 sequences and series goal free problems based on Edexcel question for the new A-Level.
Algebra and Coordinate Geometry - A set of 30 algebra and coordinate geometry goal free problems based on Edexcel questions for the new A-Level.
Basic Calculus - A set of 30 basic differentiation and integration goal free problems based on Edexcel questions for the new A-Level. By basic I mean nothing that involves something like the chain, product or quotient rules, or integration by parts/substitution etc.
Trigonometry - A set of 30 trigonometry goal free problems based on Edexcel question for the new A-Level.
Sequences and Series - A set of 30 sequences and series goal free problems based on Edexcel question for the new A-Level.
Mixed Topic
Here you will find resources that are a mix of topics that can support all areas of pupils knowledge and understanding.
AQA Practice set 4 Foundation Goal Free problems - The AQA practice set 4 Foundation papers for the 9-1 GCSE adapted by @MrODonovan
Edexcel Specimen Papers 1 Goal Free - The complete set of the Edexcel Specimen paper set 1 adapted to be goal free (as best as is possible!)
Mixed Foundation Problems - A set of 33 Foundation problems adapted to be goal free. Thanks to Mark Greenaway (@suffolkmaths)
Mixed Higher Problems - A set of 43 Higher problems adapted to be goal free. Thanks to Mark Greenaway (@suffolkmaths)
Mixed Exam style questions - A set of 65 questions, some targeted specifically at Higher topics. The space for pupils to create questions and answers has the choice of being structured (space for 4 questions and answers) or unstructured (completely open space). Thanks to Miss A Banks (@MissBanksMaths)
EMaths Adapted KS2 Reasoning Paper 1 - A Key Stage 2 reasoning paper adapted to be goal free. With thanks to Mark McCourt (@Emaths) for allowing me to use his papers.
KS2 Adapted problems - A selection of 20 Key Stage 2 problems created by Keegan Toshack @Keobrien100
KS1 Adapted problems - A selection of Key Stage 1 problems created by Keegan Toshack @Keobrien100
4 GCSE Goal Free Problems - A selection of 4 mixed GCSE problems created by Steve Webb (@MathsWebb)
AQA Practice set 4 Foundation Goal Free problems - The AQA practice set 4 Foundation papers for the 9-1 GCSE adapted by @MrODonovan
Edexcel Specimen Papers 1 Goal Free - The complete set of the Edexcel Specimen paper set 1 adapted to be goal free (as best as is possible!)
Mixed Foundation Problems - A set of 33 Foundation problems adapted to be goal free. Thanks to Mark Greenaway (@suffolkmaths)
Mixed Higher Problems - A set of 43 Higher problems adapted to be goal free. Thanks to Mark Greenaway (@suffolkmaths)
Mixed Exam style questions - A set of 65 questions, some targeted specifically at Higher topics. The space for pupils to create questions and answers has the choice of being structured (space for 4 questions and answers) or unstructured (completely open space). Thanks to Miss A Banks (@MissBanksMaths)
EMaths Adapted KS2 Reasoning Paper 1 - A Key Stage 2 reasoning paper adapted to be goal free. With thanks to Mark McCourt (@Emaths) for allowing me to use his papers.
KS2 Adapted problems - A selection of 20 Key Stage 2 problems created by Keegan Toshack @Keobrien100
KS1 Adapted problems - A selection of Key Stage 1 problems created by Keegan Toshack @Keobrien100
4 GCSE Goal Free Problems - A selection of 4 mixed GCSE problems created by Steve Webb (@MathsWebb)
Other writing about goal free problems
Garden of Life Blog - nice blog from Amarpreet Singh about how he uses goal free problems with his class. Looking for inspiration? Worth a read!
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