What's the star?

In the Christmas tree below, the rectangle, baubles, and the star at the top each contain a number. The square baubles contain square numbers; the triangle baubles contain triangle numbers; and the cube bauble contains a cube number.
The numbers in the rectangles (and the star) are equal to the sum of the numbers below them. For example, if the following numbers are filled in:
then you can deduce the following:
What is the number in the star at the top of this tree?
You can download a printable pdf of this puzzle here.

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


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


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