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?

Shooting hoops

Source: Alex Bolton
You spend an afternoon practising throwing a basketball through a hoop.
One hour into the afternoon, you have scored less than 75% of your shots. At the end of the afternoon, you have score more than 75% of your shots.
Is there a point in the afternoon when you had scored exactly 75% of your shots?

Show answer & extension

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


What is the minimum number of times a player has to hit the ball in a set of tennis and win a standard set (the set is not ended by injury, disqualification, etc.)?

Show answer

Tags: sport


Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020