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Where should runners start the 200m race so that they have all run the same distance by the finish?
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
The Velodrome was one of the most striking buildings in the London 2012 Olympic Park. This article explores how mathematics helped design the iconic building and its track.
Create a symmetrical fabric design based on a flower motif - and realise it in Logo.
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
Build a scaffold out of drinking-straws to support a cup of water
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.
Moiré patterns are intriguing interference patterns. Create your own beautiful examples using LOGO!
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
What shape would fit your pens and pencils best? How can you make it?
What shape and size of drinks mat is best for flipping and catching?
Formulate and investigate a simple mathematical model for the design of a table mat.
We need computer programmers! Logo is a great entry-level programming language - and you can create stunning graphics while you learn.
A simple robot to make, plus robots in everyday life to investigate.
Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.
My recipe is for 12 cakes - how do I change it if I want to make a different number of cakes?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Creating a schedule to cook a meal consisting of two different recipes, plus rice.
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Can you make a new type of fair die with 14 faces by shaving the corners off a cube?
This is the technology section of stemNRICH - Core.
Is it really greener to go on the bus, or to buy local?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
This article for students introduces the idea of naming knots using numbers. You'll need some paper and something to write with handy!
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
This article for students gives some instructions about how to make some different braids.
Jenny Murray describes the mathematical processes behind making patchwork in this article for students.
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.
This article explains how credit card numbers are defined and the check digit serves to verify their accuracy.
The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?