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 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

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