mscroggs.co.uk
mscroggs.co.uk

subscribe

Blog

Christmas (2022) is coming!

 2022-11-25 
This year, the front page of mscroggs.co.uk will once again feature an Advent calendar, just like in each of the last seven years. Behind each door, there will be a puzzle with a three digit solution. The solution to each day's puzzle forms part of a logic puzzle:
It's nearly Christmas and something terrible has happened: an evil Christmas-hater has set three drones loose above Santa's stables. As long as the drones are flying around, Santa is unable to take off to deliver presents to children all over the world. You need to help Santa by destroying the drones so that he can deliver presents before Christmas is ruined for everyone.
Each of the three drones was programmed with four integers between 1 and 20 (inclusive): the first two of these are the drone's starting position; the last two give the drone's daily speed. The drones have divided the sky above Santa's stables into a 20 by 20 grid. On 1 December, the drones will be at their starting position. Each day, every drone will add the first number in their daily speed to their horizontal position, and the second number to their vertical position. If the drone's position in either direction becomes greater than 20, the drone will subtract 20 from their position in that direction. Midnight in Santa's special Advent timezone is at 5am GMT, and so the day will change and the drones will all move at 5am GMT. For example, if a drone's starting position was (1, 12) and its movement was (5, 7), then:
You need to calculate each drone's starting position and daily speed, then work out where the drone currently is so you can shoot it down.
Behind each day (except Christmas Day), there is a puzzle with a three-digit answer. Each of these answers forms part of a piece of information about the locations of the drones. You must use these clues to work out each drone's starting position and daily speed, then work out where the drone currently is so you can shoot it down.
You can use this page to fire up to 5 missiles into the sky each day.
Ten randomly selected people who solve all the puzzles, destroy all three drones, and fill in the entry form behind the door on the 25th will win prizes!
The prizes will include an mscroggs.co.uk Advent 2022 T-shirt. If you'd like one of the T-shirts from a previous Advent, they are available to order at merch.mscroggs.co.uk.
The winners will be randomly chosen from all those who submit the entry form before the end of 2022. Each day's puzzle (and the entry form on Christmas Day) will be available from 5:00am GMT. But as the winners will be selected randomly, there's no need to get up at 5am on Christmas Day to enter!
As you solve the puzzles, your answers will be stored. To share your stored answers between multiple devices, enter your email address below the calendar and you will be emailed a magic link to visit on your other devices.
To win a prize, you must submit your entry before the end of 2022. Only one entry will be accepted per person. If you have any questions, ask them in the comments below, on Twitter, or on Mastodon.
So once December is here, get solving! Good luck and have a very merry Christmas!
                        
(Click on one of these icons to react to this blog post)

You might also enjoy...

Comments

Comments in green were written by me. Comments in blue were not written by me.
My dad and I did several of these puzzles together. I am 8 years old, and I figured many of them out. Thank you!
Xena
×4   ×2         ×1     Reply
It's becoming a Christmas tradition to do your advent calendar with my partner. Loved being able to narrow down our guesses each day to pinpoint the drone this time around. Thanks for running this!
Liz
×1                 Reply
Another year of great puzzles, Matt! I really appreciate it and look forward to working these every year.
Dan Whitman
×2                 Reply
Loads of fun for our family, thanks!
Stephen
×1                 Reply
Really enjoyable this year. I "give" this advent calendar to my Year 12 and 13 Further Maths classes every year, and this has engaged more of them than in previous years. They particularly liked the shooting down of drones and the opportunity for intelligent "guess work" or in the case of some writing a computer programme which would calculate the probability distribution for each drone's position based on current information. Thank you
TAS
×5            ×1     Reply
Thanks so much for making this, Matthew! It was a joy to solve, I found myself looking forward to every morning.
Tyler St Clare
×1   ×1      ×1        Reply
 Add a Comment 


I will only use your email address to reply to your comment (if a reply is needed).

Allowed HTML tags: <br> <a> <small> <b> <i> <s> <sup> <sub> <u> <spoiler> <ul> <ol> <li> <logo>
To prove you are not a spam bot, please type "axes" in the box below (case sensitive):

Archive

Show me a random blog post
 2024 

Feb 2024

Zines, pt. 2

Jan 2024

Christmas (2023) is over
 2023 
▼ show ▼
 2022 
▼ show ▼
 2021 
▼ show ▼
 2020 
▼ show ▼
 2019 
▼ show ▼
 2018 
▼ show ▼
 2017 
▼ show ▼
 2016 
▼ show ▼
 2015 
▼ show ▼
 2014 
▼ show ▼
 2013 
▼ show ▼
 2012 
▼ show ▼

Tags

zines tennis errors advent calendar determinants captain scarlet stirling numbers matt parker php signorini conditions edinburgh latex dataset radio 4 finite group arithmetic pi approximation day asteroids chebyshev pizza cutting folding tube maps christmas data visualisation books fonts mathslogicbot rugby sobolev spaces martin gardner crossnumber nine men's morris realhats computational complexity quadrilaterals numerical analysis game of life geogebra ternary inverse matrices polynomials dinosaurs dragon curves big internet math-off datasaurus dozen live stream the aperiodical fractals cross stitch turtles gaussian elimination bempp logic people maths tmip dates braiding speed preconditioning trigonometry cambridge wave scattering folding paper mean databet manchester youtube oeis frobel numbers newcastle pac-man crochet hexapawn probability inline code logo pi game show probability wool statistics propositional calculus a gamut of games pascal's triangle national lottery london manchester science festival estimation reuleaux polygons gerry anderson golden ratio stickers mathsjam gather town simultaneous equations approximation pythagoras bubble bobble sport harriss spiral graphs data flexagons hyperbolic surfaces hannah fry misleading statistics london underground matrix multiplication curvature news coins reddit interpolation recursion bodmas 24 hour maths guest posts map projections mathsteroids matrix of cofactors go matrices electromagnetic field craft puzzles graph theory football fence posts weak imposition chalkdust magazine python christmas card royal baby plastic ratio world cup finite element method palindromes weather station phd european cup light error bars anscombe's quartet platonic solids countdown geometry royal institution binary triangles logs rhombicuboctahedron sound machine learning draughts noughts and crosses sorting matrix of minors correlation exponential growth ucl squares games chess javascript menace video games golden spiral accuracy hats standard deviation programming talking maths in public convergence final fantasy runge's phenomenon raspberry pi boundary element methods

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2024