Multiplication and division

problem

Clever Keys

Age

7 to 11

Challenge level

1 out of 3

On a calculator, make 15 by using only the 2 key and any of the four operations keys. How many ways can you find to do it?
problem

Tom's Number

Age

7 to 11

Challenge level

1 out of 3

Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
problem

Watching the Wheels Go 'round and 'round

Age

7 to 11

Challenge level

1 out of 3

Use this information to work out whether the front or back wheel of this bicycle gets more wear and tear.
problem

Oranges and Lemons

Age

7 to 11

Challenge level

1 out of 3

On the table there is a pile of oranges and lemons that weighs exactly one kilogram. Using the information, can you work out how many lemons there are?
problem

Back to School

Age

7 to 11

Challenge level

1 out of 3

Mr. Sunshine tells the children they will have 2 hours of homework. After several calculations, Harry says he hasn't got time to do this homework. Can you see where his reasoning is wrong?
problem

Dividing a Cake

Age

7 to 11

Challenge level

1 out of 3

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?
problem

The Clockmaker's Birthday Cake

Age

7 to 11

Challenge level

1 out of 3

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
problem

A Conversation Piece

Age

7 to 11

Challenge level

1 out of 3

Take the number 6 469 693 230 and divide it by the first ten prime numbers and you'll find the most beautiful, most magic of all numbers. What is it?
problem

Clock Face

Age

7 to 11

Challenge level

1 out of 3

Where can you draw a line on a clock face so that the numbers on both sides have the same total?
problem

Gift Stacks

Age

7 to 11

Challenge level

1 out of 3

Use the information to work out how many gifts there are in each pile.