mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Lights

Source: Maths Jam
You have been taken captive and are blindfolded. There is a table in front of you with four lights on it. Some are on, some are off: you don't know how many and which ones. You need to get either all the lights on or all the lights off to be released. To do this, you can ask your captor to toggle the light switches of some of the lights. You captor will then rotate the table (so you don't know where the lights you toggled now are). Find a sequence of moves which will always lead to your release.

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths X,
puzzles about , or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2019