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 rugby, 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

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

Archive

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