mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2022

Advent 2022 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.
You can attempt to shoot down the drones here.

Show answer

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

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