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


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


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