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 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


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


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