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?

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

Tennis

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

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

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

Archive

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