Puzzles
24 December
Today's number is 191 more than one of the other answers and
100 less than another of the answers.
23 December
Today's number is the number of three digit numbers that are not three more than a multiple of 7.
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.
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.