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Numeracy problems to solve for Key Stage 1, 2 and 3

Key Stage 1 and 2  Solve it...!    
Billy's Bath time

These are some of the events of Billy's Bath time. Can you put them in order and read the message? One is done for you.

Correct Order

Check Letters
Billy reads a magazine.
Billy gets in the bath.
Billy pulls the plug.
Billy lies down .
Billy sits up again.
Billy fills the bath.
Billy hold his breath.
Billy washes.
Billy ducks under the water.
Billy floats his feet.
Billy gets out of the bath.

Did you get the events in the correct order?

What does it say?

Would a graph of Your bath differ from Billy's?

Take a careful look at the story of Billy's bath time shown below as a graph. The vertical axis shows how how the depth of water changes and the horizontal axis shows time.


Key Stage 2 & 3   Solve it...!    
Fraction Mansion Maze


You are trapped in one of the attic rooms in Fraction Mansion.


To escape, go from room to room and collect fractions to make a total of EXACTLY 3

The mansion link is at the bottom of the page


  • Start in ANY of the four attic rooms.
  • You can only go into another room up or down the ladders
  • You MUST collect the fractions in each room you enter
  • Add up the fractions you collect as you go
  • You cannot go into a room twice
  • You leave Fraction Mansion by passing the out sign ONLY when the fractions you have collected sum up to EXACTLY 3
  • If your number is MORE or LESS than 3 you MUST START AGAIN.


  1. To escape Fraction Mansion you will have to add up fractions as you go from room to room.
  2. The easiest way to add fractions is to change them all so that they have the same DENOMINATOR
  • Do this by finding the lowest multiple that both denominators divide into exactly. We call this the lowest common denominator ( lcd )


2 and 3 go into 6 exactly without any reminder so the lcd of 1/2 and 1/3 is 6


To add 1/2 and 1/3 change both the fractions to sixths ( because their lcd is 6 )

1/2 and 1/3 become 3/6 and 2/6

Once they are both sixths you can easily add them together:-

3/6 + 2/6 = 5/6

Click here for the Fraction Mansion maze


Links on this page:
Key Stage 1
Key Stage 2
Key Stage 3

The answers are variable


































These problems were sourced by
North East Lincolnshire's Numeracy Team

Thanks to CIRCA Maths Magazine for their Ideas.

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