Puzzles
18 December
Today's number is the maximum number of pieces that a (circular) pancake can be cut into with 17 straight cuts.
17 December
Arrange the digits 1-9 in a 3×3 square so that every row makes a three-digit square number, the first column makes a multiple of 7 and the second column makes a multiple of 4.
The number in the third column is today's number.
| square | |||
| square | |||
| square | |||
| multiple of 7 | multiple of 4 | today's number |
16 December
There are 204 squares (of any size) in an 8×8 grid of squares. Today's number is the number of rectangles (of any size) in a 2×19 grid of squares
15 December
The string ABBAABBBBB is 10 characters long, contains only A and B, and contains at least three As.
Today's number is the number of different 10 character strings of As and Bs that have at least three As.
14 December
There are 204 squares (of any size) in an 8×8 grid of squares. Today's number is the number of squares in a 13×13 grid of squares
13 December
A book has 754 pages (numbered 1 to 754: page 1 is on the left of the first double page spread, and page 754 is on the right of the final double page spread). What do the page numbers of the middle two-page spread add up to?
12 December
Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums are correct. Today's number is the product of the numbers in the red boxes.
| + | + | = 17 | |||
| + | + | + | |||
| + | + | = 7 | |||
| + | + | + | |||
| + | + | = 21 | |||
| = 11 | = 20 | = 14 |
11 December
Two more than today's number is the reverse of two times today's number.