mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

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

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024