Christmaths Advent Calendar 2013: Day 21

This year’s Christmaths Advent Calendar will have a question for every day in December up to and including Christmas Day, each one featuring a new mathematical challenge.

As he sets out on his journey to deliver presents to children around the world Father Christmas goes through a starry part of the sky collecting stars to scatter nearer the earth.

santa

He has a plan of the area, which is like a grid. Each square of the grid shows the number of stars he could collect.

santa stars

Father Christmas can travel horizontally, vertically or diagonally through the stars.

  • What is the smallest/largest number of stars Father Christmas could collect?
  • How many stars are there in the shortest route/the longest route?
  • Is there a way to collect exactly 100 stars?
  • Are there two different ways where he could collect the same number of stars?

Got an answer? Please leave a comment below.

Mr Pitts currently teaches Computing to the whole school along with some other subjects during teacher's PPA time. He runs this website and makes sure it all works smoothly, most of the time!