Equal lengths

The picture below shows two copies of the same rectangle with red and blue lines. The blue line visits the midpoint of the opposite side. The lengths shown in red and blue are of equal length.
What is the ratio of the sides of the rectangle?

Show answer

1 December

What is area of the largest area rectangle which will fit in a circle of radius 10?

Show answer


Show me a random puzzle
 Most recent collections 

Advent calendar 2020

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2021