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


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


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