mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

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

If you enjoyed this puzzle, check out Sunday Afternoon Maths VLIII,
puzzles about sport, 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

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

Archive

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