Fractions

problem
Circuit training

Age

14 to 16

Challenge level

Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever meet at the start again? If so, after how many circuits?
problem
Andy's marbles

Age

7 to 11

Challenge level

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.
problem
Orange drink

Age

7 to 11

Challenge level

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
problem
Canny fraction

Age

14 to 16

Challenge level

What fraction of the volume of this can is filled with lemonade?
problem
Water lilies

Age

11 to 14

Challenge level

There are some water lilies in a lake. The area that they cover doubles in size every day. After 17 days the whole lake is covered. How long did it take them to cover half the lake?
problem
Ben's game

Age

11 to 16

Challenge level

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
problem
Can it be?

Age

16 to 18

Challenge level

When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?
problem
Fair feast

Age

5 to 11

Challenge level

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
problem
Peaches today, peaches tomorrow...

Age

11 to 14

Challenge level

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
problem
Fractional triangles

Age

7 to 11

Challenge level

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.