An arm and a leg

If 60% of people have lost an eye, 75% an ear, 80% an arm and 85% a leg, what is the least percentage of people that have lost all four?

Show answer

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


Show me a random puzzle
 Most recent collections 

Advent calendar 2020

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2021