# Puzzles

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#### Sunday Afternoon Maths LXVII

Coloured weightsNot Roman numerals

#### Advent calendar 2018

#### Sunday Afternoon Maths LXVI

Cryptic crossnumber #2#### Sunday Afternoon Maths LXV

Cryptic crossnumber #1Breaking Chocolate

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

If you enjoyed this puzzle, check out Sunday Afternoon Maths XXIII,

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