# Advent calendar 2018

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#### Sunday Afternoon Maths LXVII

Coloured weightsNot Roman numerals

#### Advent calendar 2018

#### Sunday Afternoon Maths LXVI

Cryptic crossnumber #2#### Sunday Afternoon Maths LXV

Cryptic crossnumber #1Breaking Chocolate

Square and cube endings

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perfect numbers palindromes parabolas quadratics floors triangle numbers routes rectangles speed logic cryptic crossnumbers crosswords sport polygons taxicab geometry probabilty balancing integers bases surds functions dates colouring odd numbers square roots menace shape hexagons division area ave sums christmas chocolate calculus squares 3d shapes integration digits time mean planes averages advent sum to infinity coins complex numbers prime numbers percentages volume chess fractions geometry cube numbers dice triangles irreducible numbers arrows multiples factorials 2d shapes symmetry folding tube maps algebra proportion square numbers cryptic clues numbers pascal's triangle wordplay number cards multiplication differentiation chalkdust crossnumber games books dodecagons circles spheres people maths lines factors shapes regular shapes sequences addition remainders star numbers means grids unit fractions clocks scales partitions rugby indices probability doubling coordinates angles perimeter crossnumbers money trigonometry graphs ellipses## 8 December

Arrange the digits 1-9 in a 3×3 square so: each digit the first row is the number of letters in the (English) name of the previous digit, each digit in the second row is one less than the previous digit, each digit in the third row is a multiple of the previous digit; the second column is an 3-digit even number, and the third column contains one even digit.
The number in the first column is today's number.

each digit is the number of letters in the previous digit | |||

each digit is one less than previous | |||

each digit is multiple of previous | |||

today's number | even | 1 even digit |

Edit: There was a mistake in this puzzle: the original had two solutions. If you entered the wrong solution, it will automatically change to the correct one.