## Problems

##### Age 5 to 7 Challenge Level:

Can you work out how many apples there are in this fruit bowl if you know what fraction there are?

##### Age 5 to 7 Challenge Level:

Can you split each of the shapes below in half so that the two parts are exactly the same?

##### Age 7 to 11 Challenge Level:

Annie cut this numbered cake into 3 pieces with 3 cuts so that the
numbers on each piece added to the same total. Where were the cuts
and what fraction of the whole cake was each piece?

##### 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.

##### Age 7 to 11 Challenge Level:

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

##### Age 7 to 11 Challenge Level:

On Saturday, Asha and Kishan's grandad took them to a Theme Park.
Use the information to work out how long were they in the theme
park.

##### Age 7 to 11 Challenge Level:

There are a number of coins on a table.
One quarter of the coins show heads.
If I turn over 2 coins, then one third show heads. How many coins are there altogether?

##### Age 11 to 14 Challenge Level:

There are lots of ideas to explore in these sequences of ordered fractions.

##### Age 11 to 14 Challenge Level:

Great Granddad is very proud of his telegram from the Queen
congratulating him on his hundredth birthday and he has friends who
are even older than he is... When was he born?

##### Age 11 to 14 Challenge Level:

The number 3723(in base 10) is written as 123 in another base. What
is that base?

##### Age 14 to 16 Challenge Level:

Kyle and his teacher disagree about his test score - who is right?

##### Age 14 to 16 Challenge Level:

Find the missing angle between the two secants to the circle when
the two angles at the centre subtended by the arcs created by the
intersections of the secants and the circle are 50 and 120 degrees.

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