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

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

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

Archive

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