7 December

In September, my puzzle appeared as Alex Bellos's Monday Puzzle. The puzzle asked what the highest rugby score was which can only be made with one combination of kicks, tries and converted tries.
What is the highest rugby score which can be made with 101 different combinations of kicks, tries and converted tries?

Rugby scores

In a rugby (union) match, 3 point are scored for a kick, 5 for a try and 7 for a converted try. This scoring system means that some total scores can be achieved in different combinations, while others can be achieved in only one way.
For example, 14 can be scored in two ways (three kicks and a try; or two converted tries), while 8 can only be achieved in one way (try and a kick).
What is the highest score which can only be made in one way?
What is the highest score which can be made in two ways?

Show answer & extension


Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020