mscroggs.co.uk
mscroggs.co.uk

subscribe

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 12.52.12.13.84.55. 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:
3
Rum says: "The product of all the digits in Blitzen's six coords is 432."
21
Moon says: "Blitzen's fifth coord is 23."
9
Moon says: "Blitzen's third coord is 23."
1
Land says: "Santa's third coord ends in 3, 0 or 1."
2
Land says: "Santa's third coord ends in 2, 0 or 3."
4
Rum says: "Santa's second coord ends in 3, 4 or 1."
12
Rum says: "Rudolph's second and sixth coords are both 64."
10
Rum says: "All six of Rudolph's coords are factors of 256."
18
Moon says: "Santa's fourth and fifth coords are both 79."
24
County says: "Santa's third coord ends in 3, 2 or 1."
22
Land says: "Santa's sixth coord is not 43."
7
Rum says: "Santa's sixth coord is 43."
23
County says: "One of the digits of Santa's third coord is 7."
25
14
Land says: "Santa's third coord is 12."
5
Rum says: "Santa's first coord is 36."
15
Rum says: "Blitzen's first coord is 23."
17
Rum says: "The first digit of Santa's third coord is 1."
8
County says: "Santa's third coord shares a factor (≠1) with 270."
6
County says: "Santa's second coord is 21."
16
Land says: "Blitzen's second coord is 21."
20
Moon says: "All six of Rudolph's coords are multiples of 8."
11
Moon says: "The sum of Rudolph's six coords is 192."
13
Moon says: "Santa's second coord is 21 or 11."
19
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 12.52.12.13.84.55 (click to enlarge).
You can view the map here.

Show answer

Archive

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

Tags

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

Archive

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