There are to be 6 homes built on a new development site. They could
be semi-detached, detached or terraced houses. How many different
combinations of these can you find?
Start with four numbers at the corners of a square and put the
total of two corners in the middle of that side. Keep going... Can
you estimate what the size of the last four numbers will be?
Find a great variety of ways of asking questions which make 8.
Olivia and Poppy from St Mary's School, and Yanqing from Lipson Community College all suggested that the smallest total they could find is 8 using the route: 1-2-1-1-1-1-1.
Eva who goes to Benenden School sent in the largest total and describes the route:
1 (right to) 2 (right to) 1 (right to) 2 (down to) 1 (left to) 3 (left to) 3 (left to) 2 (down to) 1 (down to) 2 (right to) 1 (up to) 1 (right to) 1 (down to) 3 (right to) 1 Total = 25
Eva also sent in a path that made 12:
1 (right to) 2 (down to) 3 (down to) 1 (right to) 1 (down to) 3 (right to) 1
Emma from Maryhill High School found a different route that also has a total of 12:
Children at New Earswick Primary School found some other solutions to make 12:
Perhaps one of the last two is the same as Emma's - but well descibed, Alex, Ben and Josh.