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Click here to win prizes by solving the mscroggs.co.uk advent puzzles.

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24 December

Today's number is 191 more than one of the other answers and 100 less than another of the answers.
Tags: numbers

23 December

Today's number is the number of three digit numbers that are not three more than a multiple of 7.
Tags: numbers

22 December

Today's number is a palindrome. Today's number is also the number of palindromes between 111 and 11111 (including 111 and 11111).

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.
Tags: averages, mean

20 December

Earlier this year, I wrote a blog post about different ways to prove Pythagoras' theorem. Today's puzzle uses Pythagoras' theorem.
Start with a line of length 2. Draw a line of length 17 perpendicular to it. Connect the ends to make a right-angled triangle. The length of the hypotenuse of this triangle will be a non-integer.
Draw a line of length 17 perpendicular to the hypotenuse and make another right-angled triangle. Again the new hypotenuse will have a non-integer length. Repeat this until you get a hypotenuse of integer length. What is the length of this hypotenuse?

19 December

The sum of all the numbers in the eighth row of Pascal's triangle.
Clarification: I am starting the counting of rows from 1, not 0. So (1) is the 1st row, (1 1) is the 2nd row, (1 2 1) is the 3rd row, etc.

18 December

The smallest number whose sum of digits is 25.

17 December

The number of degrees in one internal angle of a regular polygon with 360 sides.
© Matthew Scroggs 2017