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 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026