Rich tasks

To avoid them getting lost in our main libraries, we're gathering our rich tasks into this handy collection. So if you're after some more challenging resources and investigations, this is the place to look.

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The algebra of inverse relationships

A presentation and worksheet looking at the connection between  … read more

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KS3 KS4  | Published: 23/09/2019 | From the resource collection(s): Algebra | Inverse operations | Non-linear graphs – general transformations | Number patterns | Rich tasks

Areas of polygons - by an algorithm

The resource is suitable as enrichment in KS3 or in KS4. It  … read more

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KS3 KS4  | Published: 03/07/2019 | From the resource collection(s): Geometry and measure | Area and perimeter – polygons | Cartesian coordinates | Rich tasks

Orange Squash! Rich Ratio Task

A problem solving task about the "orangeyness" of different squash  … read more

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KS3 KS4  | Published: 23/04/2019 | From the resource collection(s): Number | Ratio and proportion | Rich tasks

Planning a trip to Blackpool

These activities were written to use for Functional Skills but  … read more

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KS3 KS4  | Published: 15/04/2019 | From the resource collection(s): Measures | Problem solving | Skills | Basic numeracy | Maths in context | Rich tasks | Time, timetables and planning

Modelling in mathematics - making a paper helicopter

This exercise, aimed at year 7, is designed to help students  … read more

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KS3  | Published: 08/04/2019 | From the resource collection(s): Problem solving | Skills | Schemes | Maths in context | Rich tasks

Extracting data: car hire tariffs

Students have to extract data from tables for use in calculations  … read more

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KS3 KS4  | Published: 18/02/2019 | From the resource collection(s): Algebra | Number | Problem solving | Schemes | Basic numeracy | Maths in context | Rich tasks

Design your dream home - scale drawing project

This mini-project is designed to follow learning about scale  … read more

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KS3 KS4  | Published: 28/01/2019 | From the resource collection(s): Geometry and measure | Measures | Schemes | Constructions | Plans and elevations | Posters and displays | Rich tasks | Using scales

Galileo’s sequence of odd numbers

Geometric and arithmetic sequences, patterns and equivalent fractions.  … read more

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KS3 KS4  | Published: 10/12/2018 | From the resource collection(s): Algebra | Number | Fractions – equivalent, mixed and improper | Number properties – mixed | Rich tasks | Sequences - special types | Types of numbers

Paper folding

Students follow instructions to create 4 polygons,an ellipse  … read more

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KS4  | Published: 05/11/2018 | From the resource collection(s): Geometry and measure | Puzzles and games | Rich tasks

Ulam’s spiral of primes and quadratic sequences

Quadratic sequences generated from a spiral of integers which  … read more

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KS4 KS5  | Published: 19/03/2018 | From the resource collection(s): Algebra | Rich tasks | Sequences - special types | Sequences – nth term

Present wrapping conundrum

This is a Christmas themed resource but could be adapted for  … read more

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KS3 KS4  | Published: 30/05/2017 | From the resource collection(s): Geometry and measure | Number | Area and perimeter – compound shapes | Christmas | Percentages – simple percentages | Rich tasks | Solids and nets – identifying 3D shapes

Types of numbers - investigation

A super resource that allows students to develop their own i  … read more

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KS3  | Published: 03/05/2016 | From the resource collection(s): Number | Rich tasks | Types of numbers

Investigating convergence

An investigation of the Padovan sequence leading to calculator  … read more

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KS5  | Published: 18/02/2016 | From the resource collection(s): Core | Rich tasks

Winchester investigation

This resource works equally well for GCSE or AS level. It can  … read more

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KS4 KS5  | Published: 05/02/2016 | From the resource collection(s): Probability | Statistics & Probability | Experimental probability | Rich tasks | Theoretical probability

Consecutive natural numbers

An investigation into which numbers can be written as the sum  … read more

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KS3  | Published: 23/12/2015 | From the resource collection(s): Number | Rich tasks | Types of numbers

Linkages

Students design linkages and determine whether they are mechanisms  … read more

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KS3 KS4  | Published: 02/10/2015 | From the resource collection(s): Geometry and measure | Rich tasks

Number activities

Four number activities leading to an investigation of Graham's  … read more

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KS3  | Published: 26/06/2015 | From the resource collection(s): Number | Rich tasks

The Flower of Life

Students see how to create the circle arrangement known as the  … read more

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KS4 KS5  | Published: 15/05/2015 | From the resource collection(s): Core | Geometry and measure | Rich tasks

Origami trays

Fold a tray from paper then manipulate the design to create different  … read more

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KS4 KS5  | Published: 15/05/2015 | From the resource collection(s): Geometry and measure | Rich tasks | Solids and nets – identifying 3D shapes

Shrinking circles

An investigation on polygons: making use of formulae, trigonometry,  … read more

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KS5  | Published: 16/04/2015 | From the resource collection(s): Core | Rich tasks

Polygonal Numbers

An investigation into the numerical and diagramatical patterns  … read more

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KS3  | Published: 26/03/2015 | From the resource collection(s): Algebra | Rich tasks | Sequences - special types

Area of polygons using Picks Theorem

This super PowerPoint makes a really good plenary to the rich  … read more

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KS3  | Published: 13/03/2015 | From the resource collection(s): Geometry and measure | Pick's Theorem | Rich tasks

Understanding and comparing mobile phone tariffs

A functional task using linear graphs to investigate the best  … read more

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KS3 KS4  | Published: 28/11/2014 | From the resource collection(s): Algebra | Real-life graphs | Rich tasks

Twelve days of Christmas budget

Christmas quiz which uses arithmetic skills and percentages.  … read more

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KS3 KS4  | Published: 27/11/2014 | From the resource collection(s): Christmas | Percentages – simple percentages | Puzzles and games | Rich tasks

Formula pi finals at the Geometrack!

A project based around a race track which requires students to  … read more

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KS3 KS4  | Published: 24/10/2014 | From the resource collection(s): Geometry and measure | Area and perimeter – compound shapes | Compound measures | Rich tasks

Estimating pi by substitution – a calculator/spreadsheet exercise

This resource introduces students to the Gauss and Legendre estimation  … read more

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KS4  | Published: 23/05/2014 | From the resource collection(s): Geometry and measure | Number | Rich tasks

Gift Boxes - A functional task

A higher tier GCSE functional task based on gift boxes. This  … read more

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KS4  | Published: 16/05/2014 | From the resource collection(s): Revision | Rich tasks

Investigating area using Pick's theorem

An investigation to calculate the area of irregular polygons  … read more

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KS3  | Published: 16/05/2014 | From the resource collection(s): Geometry and measure | Pick's Theorem | Rich tasks

I know this shape is wrong because...

A resource for starting a shape topic or for revising the topic.  … read more

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KS3  | Published: 16/05/2014 | From the resource collection(s): Geometry and measure | Rich tasks

Three joined pyramids

Assemble the net to create three pyramids which fold up to form  … read more

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KS4  | Published: 04/01/2013 | From the resource collection(s): Geometry and measure | Rich tasks | Solids and nets – 3D geometry

Suitcase logic

Use the clues and your logic skills to deduce who has packed  … read more

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KS3  | Published: 14/09/2012 | From the resource collection(s): Puzzles and games | Rich tasks

Random mathematics research quiz

Research the answers to 20 questions on mathematical properties,  … read more

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KS3  | Published: 17/08/2012 | From the resource collection(s): Rich tasks

The greatest mathematics country debate

Research the country you are assigned to debate why it has had  … read more

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KS3 KS4  | Published: 06/07/2012 | From the resource collection(s): Posters and displays | Rich tasks

Using Excel and sequences to investigate straight line graphs

Comprehensive instructions to show how to create graphs in Excel,  … read more

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KS4  | Published: 15/06/2012 | From the resource collection(s): Algebra | Linear graphs – plotting and sketching | Rich tasks

Spirolaterals

Learn how to draw spirolaterals then set yourself a question  … read more

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KS3 KS4  | Published: 09/03/2012 | From the resource collection(s): Geometry and measure | 2D shapes – identifying polygons | Rich tasks

Shunting

How can you use the track siding to change the train carriages  … read more

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KS3 KS4  | Published: 10/02/2012 | From the resource collection(s): Puzzles and games | Rich tasks

Bird watching

A logic puzzle with an unusual context for students, handy for  … read more

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KS4  | Published: 15/12/2011 | From the resource collection(s): Puzzles and games | Rich tasks

Tiling a bathroom floor

An investigation into the number of tiles needed to cover a floor,  … read more

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KS3  | Published: 15/12/2011 | From the resource collection(s): Geometry and measure | Metric units | Rich tasks

Word length survey

Decide if a book is suitable to read by analysing the word lengths.  … read more

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KS3  | Published: 15/12/2011 | From the resource collection(s): Statistics | Graphs and charts – bar charts | Rich tasks

Around London - a research project

Use internet research to find journey times and fare prices for  … read more

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KS4  | Published: 15/12/2011 | From the resource collection(s): Geometry and measure | Rich tasks | Time, timetables and planning