mscroggs.co.uk
mscroggs.co.uk

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 sums, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024