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 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

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