Advent calendar 2019

25 December

It's nearly Christmas and something terrible has happened: while out on a test flight, Santa's sled was damaged and Santa, Rudolph and Blitzen fell to the ground over the Advent Isles. You need to find Santa and his reindeer before Christmas is ruined for everyone.
You have gathered one inhabitant of the four largest Advent Isles—Rum, Land, Moon and County—and they are going to give you a series of clues about where Santa and his reindeer landed. However, one or more of the islanders you have gathered may have been involved in damaging Santa's sled and causing it to crash: any islander involved in this will lie to you to attempt to stop you from finding Santa and his reindeer. Once you are ready to search for Santa, Rudolph and Blitzen, you can find the map by following this link.
Each of the clues will be about Santa's, Rudolph's or Blitzen's positions in Advent Standard Coordinates (ASC): ASC are given by six two-digit numbers with dots inbetween, for example For this example coordinate, the islanders will refer to (the first) 12 as the first coordinate, 52 as the second coordinate, (the second) 12 as the third coordinate, 13 as the fourth coordinate, 84 as the fifth coordinate, and 55 as the sixth coordinate.
Here are the clues:
Rum says: "The product of all the digits in Blitzen's six coords is 432."
Moon says: "Blitzen's fifth coord is 23."
Moon says: "Blitzen's third coord is 23."
Land says: "Santa's third coord ends in 3, 0 or 1."
Land says: "Santa's third coord ends in 2, 0 or 3."
Rum says: "Santa's second coord ends in 3, 4 or 1."
Rum says: "Rudolph's second and sixth coords are both 64."
Rum says: "All six of Rudolph's coords are factors of 256."
Moon says: "Santa's fourth and fifth coords are both 79."
County says: "Santa's third coord ends in 3, 2 or 1."
Land says: "Santa's sixth coord is not 43."
Rum says: "Santa's sixth coord is 43."
County says: "One of the digits of Santa's third coord is 7."
Land says: "Santa's third coord is 12."
Rum says: "Santa's first coord is 36."
Rum says: "Blitzen's first coord is 23."
Rum says: "The first digit of Santa's third coord is 1."
County says: "Santa's third coord shares a factor (≠1) with 270."
County says: "Santa's second coord is 21."
Land says: "Blitzen's second coord is 21."
Moon says: "All six of Rudolph's coords are multiples of 8."
Moon says: "The sum of Rudolph's six coords is 192."
Moon says: "Santa's second coord is 21 or 11."
Moon says: "Blitzen's fourth and sixth coords are both 11."
To find a point's ASC coordinates, split a map of the islands into a 9×9 grid, then number the rows and columns 1 to 9: the first two digits of ASC give the vertical then horizontal position of a square in this grid. The next two digits then give a smaller square when this square is then itself split into a 9×9 grid, and so on. An example is show below.
The ASC coordinates of this pair of flowers are (click to enlarge).
You can view the map here.

Show answer


Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


indices coordinates polygons scales averages numbers pascal's triangle chess menace dates complex numbers the only crossnumber speed multiplication calculus sums clocks median area proportion probabilty sum to infinity irreducible numbers percentages ellipses cube numbers shape factorials integers geometry division means hexagons people maths volume multiples rugby perfect numbers folding tube maps routes advent odd numbers differentiation functions unit fractions 2d shapes elections squares coins dominos square numbers taxicab geometry logic digital clocks star numbers time probability mean ave crossnumber crossnumbers grids trigonometry regular shapes spheres range sport rectangles shapes gerrymandering fractions dodecagons balancing partitions crosswords books surds 3d shapes chocolate triangles money circles number colouring floors doubling palindromes integration parabolas bases addition perimeter cryptic clues cards games algebra tiling factors cryptic crossnumbers lines square roots sequences chalkdust crossnumber graphs angles wordplay prime numbers christmas remainders symmetry products digits arrows quadratics planes triangle numbers dice


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020