mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Let the passenger train through!

A goods train, made up of a locomotive and 5 trucks, stops at a small station. The small station has a siding which the goods train can reverse into. The siding can hold an engine and two trucks or three trucks.
A passenger train arrives travelling in the opposite direction. How can they let it through? (The passenger train is too long to fit in the siding.)

Show answer & extension

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

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025