Click here to win prizes by solving the puzzle Advent calendar.
Click here to win prizes by solving the puzzle Advent calendar.



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

If you enjoyed this puzzle, check out Sunday Afternoon Maths LXII,
puzzles about triangle numbers, or a random puzzle.


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


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2019