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?
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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?
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 […]
Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]
Multiply the first number by 100. What do you get?
Subtract the smaller number from the bigger one. What do you get?
What does this tell you about the […]
The aim is to make square domino loops, like the one in the picture, from 4 dominoes matching the fractions, decimals and percentages. Start with any domino and find 2 other dominoes to match the ends of the first domino.
For example, the [3/10 and 10%] domino matches with 30% at […]
How big is the smallest village for which this is true?
Can you describe the population of other villages for which this is true?
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How many green rectangles make one unit?
How many small red squares make one unit?
How many small blue rectangles make one unit?
How many small pink rectangles make one unit?
What fraction of the ice creams sold were strawberry? If she sold 60 strawberry ice creams how many ice creams were sold altogether.
The number of vanilla ice creams and the number of chocolate ice creams sold were the same.