Imagine you have a large supply of 3kg and 8kg weights. How many of
each weight would you need for the average (mean) of the weights to
be 6kg? What other averages could you have?
A country has decided to have just two different coins, 3z and 5z
coins. Which totals can be made? Is there a largest total that
cannot be made? How do you know?
Charlie and Lynne put a counter on 42. They wondered if they could
visit all the other numbers on their 1-100 board, moving the
counter using just these two operations: x2 and -5. What do you
What size square corners should be cut from a square piece of paper to make a box with the largest possible volume?
Can you find the values at the vertices when you know the values on
Can you guess the colours of the 10 marbles in the bag? Can you
develop an effective strategy for reaching 1000 points in the least
number of rounds?
Can you find rectangles where the value of the area is the same as the value of the perimeter?
Can you coach your rowing eight to win?
Work out how to light up the single light. What's the rule?
We're excited about this new program for drawing beautiful mathematical designs. Can you work out how we made our first few pictures and, even better, share your most elegant solutions with us?
Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Can you decode the mysterious markings on this ancient bone tool?
Can you make a hypothesis to explain these ancient numbers?
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
95% of people in Britain should live within 10 miles of the route of the Olympic Torch tour. Is this true?
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. . . .
A introduction to how patterns can be deceiving, and what is and is not a proof.
This problem offers you two ways to test reactions - use them to
investigate your ideas about speeds of reaction.
Two video clips of classes organised into groups to work on
How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.
This article explores the process of making and testing hypotheses.