# Puzzles

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#### Sunday Afternoon Maths LXVII

Coloured weightsNot Roman numerals

#### Advent calendar 2018

#### Sunday Afternoon Maths LXVI

Cryptic crossnumber #2#### Sunday Afternoon Maths LXV

Cryptic crossnumber #1Breaking Chocolate

Square and cube endings

List of all puzzles

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

## 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?