mscroggs.co.uk
mscroggs.co.uk
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.

subscribe

Puzzles

Subsum

1) In a set of three integers, will there always be two integers whose sum is even?
2) How many integers must there be in a set so that there will always be three integers in the set whose sum is a multiple of 3?
3) How many integers must there be in a set so that there will always be four integers in the set whose sum is even?
4) How many integers must there be in a set so that there will always be three integers in the set whose sum is even?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths LII,
puzzles about multiples, or a random puzzle.

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

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2019