Solve it...!

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

 Key Stage 1     Solve it...!    Rainbow Riddle

Wesley has designed a multi-coloured logo. The printers have told him that no coloured square can share a side with its neighbour in the rainbow.

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

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).

What is the shortest distance the spider could travel along the edges of the room to claim its prize?

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.

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

Back to the top