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Gabriel's Problem

Age 11 to 14 Challenge Level:

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

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Gabriel's Problem Posters

Age 11 to 16 Challenge Level:

Posters for Gabriel's Problem

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Galley Division

Age 14 to 16 Challenge Level:

Can you explain how Galley Division works?

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Gambling at Monte Carlo

Age 14 to 16 Challenge Level:

A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?

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Game of PIG - Ones

Age 5 to 7 Challenge Level:

Play a dice game of chance

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Games

Age 5 to 11 Challenge Level:

This selection of primary games is perfect for use in the mathematics classroom.

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Games

Age 5 to 11

Games primary teachers

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Games - Lower Primary

Age 5 to 7

Playing these games will help to test your understanding of different topics.

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Games - Upper Primary

Age 7 to 11

Playing these games will help to test your understanding of different topics.

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Games and Interactives

Age 5 to 11

teacher collections

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Games from Around the World

Age 5 to 11 Challenge Level:

Here are a collection of games from around the world to try during the holidays or the last few weeks of term.

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Games Related to Nim

Age 5 to 16

This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.

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Gamma City

Age 14 to 16 Short Challenge Level:

Can you find the mode and median number of goals scored by Gamma City?

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Garden Fence

Age 14 to 16 Short Challenge Level:

Weekly Problem 44 - 2009
A garden has the shape of a right-angled triangle. A fence goes from the corner with the right-angle to a point on the opposite side. How long is the fence?

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Garden Shed

Age 11 to 14 Challenge Level:

Can you minimise the amount of wood needed to build the roof of my garden shed?

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Gassy Information

Age 16 to 18 Challenge Level:

Do each of these scenarios allow you fully to deduce the required facts about the reactants?

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Gathering Gems

Age 5 to 11 Challenge Level:

Using compass points, can you describe up to ten paths on this map so that you bring as many gems back home as possible?

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Gaudi's Design

Age 11 to 16 Challenge Level:

Eight lines are drawn in a regular octagon to form a pattern. What fraction of the octagon is shaded?

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Gaxinta

Age 11 to 14 Challenge Level:

A number N is divisible by 10, 90, 98 and 882 but it is NOT divisible by 50 or 270 or 686 or 1764. It is also known that N is a factor of 9261000. What is N?

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General Ideas for Lessons and Learning

Age 11 to 16

Introducing and developing STEM teaching in the classroom.

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General Resources

Age 5 to 11

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Generalising

Age 5 to 11

These tasks give learners chance to generalise, which involves identifying an underlying structure.

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Generalising and Proof

Age 7 to 11

This feature will help you build up to generalising and, ultimately, proving.

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Generally Geometric

Age 16 to 18 Challenge Level:

Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.

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Generating Curiosity in Mathematics Learning

Charlie Gilderdale discusses ways to encourage students to learn to function mathematically and use higher order thinking skills.

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Generating Triples

Age 14 to 16 Challenge Level:

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

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Generic Examples: Seeing Through the Particular to the General

Age 7 to 18

Can one example help us to perceive the generality?

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Generic Proof

Age 5 to 11

Here we have gathered together tasks which focus on generic proof.

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Genetic Inheritance

Age 11 to 16

Explore the maths behind genetics with these problems.

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Genetic Intrigue

Age 16 to 18

Dip your toe into the fascinating topic of genetics. From Mendel's theories to some cutting edge experimental techniques, this article gives an insight into some of the processes underlying. . . .

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Genetics

Age 14 to 16 Challenge Level:

A problem about genetics and the transmission of disease.

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Geoboards

Geogebra square, circular and rectangular geoboards.

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Geoboards

Age 7 to 11

These upper primary activities all make use of a geoboard or pegboard.

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Geoboards

Age 5 to 7

This lower primary feature brings together activities which make use of geoboards.

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Geoboards

Age 5 to 11

This feature brings together activities which make use of a geoboard or pegboard.

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Geoboards

Age 7 to 11 Challenge Level:

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

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Geometric Parabola

Age 14 to 16 Challenge Level:

Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.

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Geometric Quadrilateral

Age 11 to 14 Short Challenge Level:

Each interior angle in a quadrilateral (apart from the smallest) is twice the previous one. What is the size of the smallest interior angle?

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Geometric Thinking - Teacher Articles

Age 3 to 11

This series of three articles discusses the development of geometric thinking.

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Geometric Trig

Age 16 to 18 Short Challenge Level:

Trigonometry, circles and triangles combine in this short challenge.

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Geometry

Age 5 to 11

This collection of tasks focus on the concepts of shape, position and movement.

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Geometry

Age 5 to 11

These articles, written for primary teachers, offer guidance on the teaching and learning of geometry.

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Geometry and Advanced Mathematics Exams Questions

Age 16 to 18

This article offers advice on solving STEP and other advanced mathematics examinations geometry problems.

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Geometry and Gravity 1

Age 11 to 18

This article (the first of two) contains ideas for investigations. Space-time, the curvature of space and topology are introduced with some fascinating problems to explore.

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Geometry and Gravity 2

Age 11 to 18

This is the second of two articles and discusses problems relating to the curvature of space, shortest distances on surfaces, triangulations of surfaces and representation by graphs.