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A bag has a large number of green, white, yellow, orange and red sweets (5 flavours).
You pick sweets from the bag without looking. If you pick 2 sweets what different combinations of colours can you get?
Twenty-one gas cylinders are to be loaded onto three lorries.
Seven cylinders are full, seven are half-full and seven are empty.
A full cylinder weighs 50kg and an empty cylinder weighs 20kg.
How should they be loaded onto the lorries so that each lorry is carrying the same weight?
Click here to download […]
Suppose you have two 1’s, two 2’s and two 3’s.
Arrange these six digits in a list so that:
between the two 1’s there is one digit giving 1?1,
between the two 2’s there are two digits giving 2??2,
between the two 3’s there are three digits giving 3???3.
[…]
It is not difficult to put a list of decimals in order of size. But what about ordering fractions?
John Farey introduced sequences of sequences of fractions in order of size, now called Farey sequences. Can you discover his method from the following examples?
What patterns do you see in them?
Suppose you have to share 9872 gold coins between 8 people.
You give the coins out in thousands until there are less than 8000 left.
Then you give out one hundred at a time until there are less than 800, then […]
BUILD A FRACTION WALL
This wall is 1 unit wide. It shows one unit and two half units.
Click here to download the FRACTION WALL 30-minute lesson instructions and worksheet. Cut out the strips. Rearrange the order of the strips to build a wall with smaller and […]
This is not an activity to do on your own. Work with a partner or a small group. The Our World In Data website, compiled by a research team at Johns Hopkins University, has built 207 country profiles which allow you to explore the statistics on the coronavirus pandemic for every country […]
Do your own experiments using number cards to play the games and pick 2 cards at random each time.
In Game A an envelope or bag contains balls, or cards, numbered 2, 3, 4, 5 and 6. Pick out two balls or cards at random. If the total is even you win. […]
Ram had 15 coins, all the same kind, and he put them into 4 bags.
He labelled each bag with the number of coins inside it.
He could then pay any sum of money from 1 coin to 15 coins using one or more of the bags without opening any of the bags.
How […]
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