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 numbers, 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

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

Archive

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