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)

# Goal Free Problems

Welcome to Goal Free Problems, a place to find and share goal free problems for use with pupils in class and revision

### 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.

Higher Ratio and Proportion Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

Foundation Ratio and Proportion Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers.

Higher Ratio and Proportion Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

### 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.

Higher Data Handling and Probability Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

Foundation Data Handling and Probability Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers.

Higher Data Handling and Probability Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

### 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.

Higher Geometry and Measures Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

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.

Higher Geometry and Measures Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

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.

Higher Number Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

Foundation Number Goal Free - A selection of 20 adapted GCSE exam questions from Foundation tier papers.

Higher Number Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

### 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.

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.

Higher Algebra Goal Free - A selection of 20 adapted GCSE exam questions from Higher tier papers.

### 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.

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