# Puzzles

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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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## Tags

games indices dodecagons hexagons sequences doubling remainders dice rectangles prime numbers 2d shapes calculus pascal's triangle time palindromes coins grids factorials graphs chess polygons means irreducible numbers advent triangles number probabilty sum to infinity volume crossnumbers crosswords sums bases people maths probability christmas area integers balancing books parabolas chocolate mean surds quadratics 3d shapes partitions circles multiples square numbers planes rugby coordinates cryptic clues addition chalkdust crossnumber shape proportion geometry star numbers algebra scales spheres numbers square roots money regular shapes differentiation menace symmetry lines taxicab geometry averages perfect numbers ave ellipses factors multiplication cryptic crossnumbers cards division dates routes sport clocks angles arrows logic colouring integration triangle numbers trigonometry floors cube numbers squares percentages digits speed complex numbers odd numbers fractions unit fractions functions folding tube maps perimeter shapes wordplay## 22 December

22 is two times an odd number. Today's number is the mean of all the answers on days (including today) that are two times an odd number.

Clarification: You are taking the mean for answers on days that are two times an odd numbers; ie. the days are two times odd, not the answers.

## 21 December

Today's number is a multiple of three. The average (mean) of all the answers that are multiples of three is a multiple of 193.

## 16 December

Today's number is four thirds of the average (mean) of the answers for 13th, 14th, 15th and 16th December.

## Mean, median, mode, range

**A**Find five one-digit positive integers which have a mean of 4, mode of 6, median of 4 and a range of 5.

**B**Find five one-digit positive integers which have a mean of 3, mode of 1, median of 1 and a range of 8.

**C**Find five one-digit positive integers which have a mean of 3, mode of 2, median of 2 and a range of 5.