mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

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 square numbers, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024