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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.
You will need two dice, a counter for each player (or each team) and the gameboard. This is a game for up to 4 players when the players throw the dice for themselves, or for 2 teams, when the leader throws the dice and moves the counters on the board.
The square is one unit and it is split into smaller parts. Copy the picture and label each part with the fraction it shows.
Which coloured bits would you use to show that two eighths equals one quarter?
Which coloured bits would you use to show that two sixteenths equals one […]
To play the game you need a gameboard, one die, one counter for each player and paper and pencil for recording scores
Rules: REGULAR POLYPATH GAME Players in turn roll the die and move their counter that number of spaces. When they land on a shape, they must imagine that a regular […]
The only resources needed are 2 dice and pencil and paper for scoring. Decide the divisors for your game, say 3 and 5. Throw 2 dice and choose between two 2-digit numbers (unless it’s a double) e.g. with 5 and 6 choose 56 or 65. Score 1 point if your number is divisible by 3 […]
Five red-eye frogs and five orange frogs line up in a row with a space between them.
They have to change places but they can only hop, one frog over another frog or slide to an empty space next to them.
Red-eye frogs can […]
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