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

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 triangle numbers, 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

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

Archive

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