mscroggs.co.uk
mscroggs.co.uk

subscribe

Sunday Afternoon Maths LXIII

 Posted on 2018-04-22 

Is it equilateral?

In the diagram below, \(ABDC\) is a square. Angles \(ACE\) and \(BDE\) are both 75°.
Is triangle \(ABE\) equilateral? Why/why not?

Show answer

Cube multiples

Six different (strictly) positive integers are written on the faces of a cube. The sum of the numbers on any two adjacent faces is a multiple of 6.
What is the smallest possible sum of the six numbers?

Show answer & extension

If you enjoyed these puzzles, check out Advent calendar 2024,
puzzles about symmetry, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025