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


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


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