# 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

List of all puzzles

## Tags

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