ArchiveShow me a random puzzle
Most recent collections
Sunday Afternoon Maths LXVIIColoured weights
Not Roman numerals
Advent calendar 2018
Sunday Afternoon Maths LXVICryptic crossnumber #2
Sunday Afternoon Maths LXVCryptic crossnumber #1
Square and cube endings
List of all puzzles
Tagsmoney sums unit fractions christmas cryptic clues spheres balancing floors factorials division coins symmetry people maths quadratics digits menace chalkdust crossnumber mean taxicab geometry factors probability cards dice addition rectangles triangles differentiation prime numbers volume means trigonometry arrows chess coordinates algebra scales sum to infinity chocolate functions surds cube numbers hexagons probabilty percentages 2d shapes complex numbers books grids ellipses proportion palindromes advent doubling crossnumbers routes sequences angles star numbers fractions circles planes polygons indices ave colouring graphs rugby integration lines irreducible numbers bases parabolas triangle numbers area games sport clocks 3d shapes multiples multiplication wordplay integers perfect numbers regular shapes crosswords cryptic crossnumbers square numbers number squares dates odd numbers speed perimeter calculus numbers folding tube maps geometry averages shape square roots logic partitions pascal's triangle remainders shapes dodecagons time
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?
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?
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?
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.)?