Problems used at association conferences - Easter 2006
If x + y = -1 find the largest value of xy by coordinate geometry, by calculus and by algebra.
Being thoughtful means showing good judgement, being focussed, and reflecting. These problems might help!
Being determined means developing your resilience, persistence, ambition and initiative. These problems might help!
Being curious means developing your flexibility of mind, originality and risk-taking skills. These problems might help!
Being collaborative means developing your cooperation, self-assurance and empathy. These problems might help!
How do you tackle geometry questions on STEP and other advanced mathematics examinations? And how satisfying is it to complete a really intriguing geometry challenge?
Upper secondary curriculum content
Being thoughtful means showing good judgement, being focused, and reflecting. These problems might help!
A collection of short problems for Stages 3 and 4.
How good are you at finding the formula for a number pattern ?
The circumcentres of four triangles are joined to form a
quadrilateral. What do you notice about this quadrilateral as the
dynamic image changes? Can you prove your conjecture?
This module helps you to understand how to approach advanced geometry questions.
Collection of resources for Core 1 and 2
Use algebra to reason why 16 and 32 are impossible to create as the
sum of consecutive numbers.
A collection of useful graphing resources to support work on NRICH problems.
A visualisation problem in which you search for vectors which sum
to zero from a jumble of arrows. Will your eyes be quicker than
These lower primary tasks all involve geometry - describing and sorting shapes, turning (or angles) and pattern.
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
Can you see how this picture illustrates the formula for the sum of
the first six cube numbers?
These upper primary tasks all involve geometry - describing, constructing, reflecting, rotating or translating shapes along with angles.
These articles, written for primary teachers, offer guidance on the teaching and learning of geometry.
Geometrical reasoning can involve coordinate geometry and properties of 2d and 3d shapes, and may even lead to algebraic representations. These problems invite you to explore geometry in a variety of. . . .
Take a complicated fraction with the product of five quartics top
and bottom and reduce this to a whole number. This is a numerical
example involving some clever algebra.
These classroom resources aim to help students think about geometrical reasoning.
Try these activities to find out more about what it means to be thinking algebraically.
A selection of STEP questions, including some worked examples, on Geometry
A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?
There's nothing irrational about these problems!
Learn all about Wild Maths and how you can support mathematical creativity in the classroom
This problem in geometry has been solved in no less than EIGHT ways
by a pair of students. How would you solve it? How many of their
solutions can you follow? How are they the same or different?. . . .
This feature will help you embed the three aims of the curriculum into the teaching and learning of geometry.
Never used GeoGebra before? This article for complete beginners will help you to get started with this free dynamic geometry software.
Our second set of epsilons
Being determined at primary level means developing your resilience, persistence, ambition and initiative. These problems might help!
Being collaborative at primary level means developing your cooperation, self-assurance and empathy. These problems might help!
Being thoughtful for primary children means showing good judgement, being focused, and reflecting. These problems might help!
Lynne suggests activities which support the development of primary children's algebraic thinking.