Footsteps in the Snow
Year 4 Version
Little has size 2 boots. Middle has size 3 boots which
are one and a half times the size of Little’s boots.
Big has size 5 boots. A little boot and a middle boot put
together are the same length as a Big boot.
The three people start together with their heels of their
boots on the same line. They each walk heel to toe
When will all three heels be in a line together again ?
How did you solve the problem ?
answer
There are several ways to solve this problem:
solve it by drawing diagrams

find the lowest common multiple of 2, 3 and 5 which is 30
little takes 15 steps
middle takes 10 steps
big takes 6 steps
15 x 2 = 30
10 x 3 = 30
6 x 5 = 30