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 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2019