Numeracy problems to solve for Key Stage 1, 2 and 3
Key
Stage 1 Solve it...! Rainbow
Riddle

Wesley has designed
a multicoloured logo. The printers have told him that no coloured square
can share a side with its neighbour in the rainbow.
Task
Use the numbers or colours to show how the design can be coloured in
. Is there more than one way?
1
= red
2 = orange
3 = yellow
4 = green
5 = blue
6 = indigo
7 = violet
8 = black 

1
= red
2 = orange
3 = yellow
4 = green
5 = blue
6 = indigo
7 = violet
8 = black 

An Extra Task
What if no colour could even touch its neighbour at a corner?
Show how the design could be done then.
1
= red
2 = orange
3 = yellow
4 = green
5 = blue
6 = indigo
7 = violet
8 = black 

Is it the only possible
design?
Key
Stage 2 & 3 Solve it...!
The Hungry Spider 
A spider is
in the top corner (A) of a rectangular room, 10m long, 5m wide and 3m
high. The spider spots a tasty snack in the furthest corner of the room
at (G).
Task
What is the shortest distance the spider could travel along the edges
of the room to claim its prize?
An extra task
If the spider can walk diagonally across walls and ceilings, is there
a more direct route? Can you show your routes on a scaled net?
Answer:
If the spider can only travel along the edges of the room the shortest
distance to travel to reach its tasty snack is 18 metres.
If the spider could walk diagonally across walls and ceilings, the most
direct and much shorter route would be AC +CG which is 11.2m + 3m =
14.2m.
