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 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2019