Stage 4:
Edsbyn to Ånge (90 miles)

Competitors will notice especially over this long stage that muggle settlements are starting to become more sparse the further north they travel. Ånge is the largest settlement in the municipality of the same name, with 3,000 muggles living there. The sparse population gives the area an average of just 3.5 people per square kilometre of land, which is good news as there are fewer muggles around to notice the broom racers whizzing over their heads!

Avoid earning a time penalty in the race by completing the challenges below.

Time Challenge: This Christmas tree is decorated with 4 coloured chains of 7 lights each. Some lights already have numbers in them - your job is to fill the remaining lights with numbers so that each chain contains 7 different numbers. Also any straight line of lights (horizontal or diagonal in parallel with the sides of the tree) should only contain one of each number. Score 15 seconds for each correctly placed number to fill the remaining 18 bulbs.

You can find a printer friendly version of this puzzle here.

Bonus Time Challenge: Each of these cubes has a name from the Harry Potter world in it. To find the name, you can start with any letter and move from letter to letter by travelling to any adjacent letter—across, up and down, or diagonally. You can use letters twice in the same name, but not in consecutive moves - you must move on to a new square for each letter in the name - and you might not need all of the letters in the cube to make your name. Here is an example with the moves shown so you can see how it is done:

In this example, start on the R on the bottom row, and follow the lines to the N in the top right to spell "Remus Lupin."

Gain 15 seconds of time for each correct name found in these ten name cubes:

You can find a printer friendly version of this puzzle here.

Send your answers to by December 31st with the subject "ab123 - Broom Race Stage 4" (where ab123 is your student ID)