Puzzle 5
Using all of the letters A to Z, each once only, complete these common words. There are currently 5 different answers, can you find them all?
-e-el
b-d
s-i-l
swa--
fo-
-er-y
a-ur-
-u-dy
-uo-e
-e-a-e
ed--
sc-r-y
l-p
--lls
Puzzle 6
The river Pregel ran through the town of Konigsberg. In the river were two islands, connected to each other and the rest of the city by seven bridges.
The residents of Konigsberg challenged each other to walk through the city, and cross each of the seven bridges exactly once.
Can you find a path that they might have taken?
This is the 'Seven Bridges of Konigsberg' puzzle, tackled by Leonhard Euler in 1736.
Puzzle 7
Place letters into the grid such that every row, column, and 2 x 2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows / cols / blocks.
Letters allowed: D O G D A Y S
| C | |||
| L | K | ||
| A | T | E | |
| S | P | I |
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Alan Stillson and Frank Longo
Puzzle 8
What 5-digit number am I thinking of?
It has two prime digits.
Digit 3 is the highest digit.
Digit 2 is the lowest digit.
Digit 1 is higher than the sum of digits 4 and 5.
Digit 5 is half of digit 4.
Digit 1 is one smaller than digit 3.
Digit 5 is between digit 2 and digit 1
The digit 0 doesn't appear, and there are no duplicates. Don't forget that 1 isn't prime, as the prime numbers start with 2, 3, 5, …