mscroggs.co.uk
mscroggs.co.uk

subscribe

Sunday Afternoon Maths XXVII

 Posted on 2014-09-07 

Sine

A sine curve can be created with five people by giving the following instructions to the five people:
A. Stand on the spot.
B. Walk around A in a circle, holding this string to keep you the same distance away.
C. Stay in line with B, staying on this line.
D. Walk in a straight line perpendicular to C's line.
E. Stay in line with C and D. E will trace the path of a sine curve as shown here:
What instructions could you give to five people to trace a cos(ine) curve?
What instructions could you give to five people to trace a tan(gent) curve?

Show answer & extension

Triangles between squares

Prove that there are never more than two triangle numbers between two consecutive square numbers.

Show answer & extension

If you enjoyed these puzzles, check out Advent calendar 2019,
puzzles about surds, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020