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Find a cuboid (with edges of integer values) that has a surface area of exactly 100 square units.
Is there more than one?
It is quite easy to find a few solutions. The big challenge is to find all possible solutions.
Can you provide a convincing argument that you have found […]
The MAGIC SQUARE GAME is played with a set of cards numbered 1 to 9 and a 3-by-3 gameboard. Take turns either to put one of the 9 cards into an empty square, or to move to an adjacent empty square one of the cards that has already been placed. The winner is […]
Click here to register for the 2023 GLOBAL MATHS AND SCIENCE LESSON ON TUESDAY 10 OCTOBER. See below for links to lesson resources.
1. Working with a square drawn on the ground in the classroom, or in a bigger space, indoors or outdoors, find the perimeter of […]
What can you see in this diagram?
Could you draw it? Could you draw a similar diagram with just 5 or 6 points around the outside? Try it?
How many lines are there in your diagrams? How many lines are there in the original diagram? Can you find a way of working out […]
SQUARES – GAME FOR TWO
Use a dotty grid and take it in turns to claim a point and mark it with your colour. The first person or team to get 4 of their markers at the vertices of a square wins the game.
PEOPLE MATHS – GAME FOR TWO TEAMS
A fence is built around a square field.
Suppose another fence is built exactly one metre longer so the path between the two fences is the same width along the edges of the field. How wide would this path be?
Would a mouse be able to run along it?
Could a farmer drive […]
Can you find all the sets of five positive whole numbers that have
a mean of 4
a median of 3
and a mode of 3?
One solution is 3, 3, 3 ,5 and 6 and there are several other solutions.
There are 11 solutions with a single […]
A fence is built around a square field.
Suppose another fence is built exactly one metre longer so the path between the two fences is the same width all the way round including at the corners of the field.
How wide would this path be?
Would a mouse be able to run along it? […]
A wire belt is tied tightly around the Earth at the equator. Suppose the belt is made exactly one metre longer and held around the Earth at the equator so that it is the same distance away from the Earth everywhere. Would a mouse be able to crawl under the new belt? How do […]
A disc (circle) rolls around the outside edge of a square so that its circumference always touches the edge of the square.
Describe the path (or locus) of the centre of the disc and its length.
Describe the paths of the centres of a disc rolling around the edges of other polygons.
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