mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Archive

Show me a random puzzle
 Most recent collections 

Tags

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

Archive

Show me a random puzzle
▼ show ▼

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

© Matthew Scroggs 2019