# day/dydd 344 at 7puzzleblog.com

The Main Challenge

Can you find the 4-digit number that has all these properties?

•  its second digit is twice the first,
•  its fourth digit is three times the third,
•  all its digits are different,
•  no two of its digits are consecutive.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 6th columns contain the following fourteen numbers:

7   13   21   22   27   30   36   40   49   54   55   56   60   64

Which two numbers, when each is doubled, also appear on the list?

The Factors Challenge

Which numbers below are factors of 344?

2     3     4     5     6     7     8     9

The Mathematically Possible Challenge

Using 13 and once each, with + – × ÷ available, which THREE numbers are NOT possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

#3TimesTable

The Target Challenge

Can you arrive at 344 by inserting 1, 2, 3, 4 and 5 into the gaps below?

•  ◯⁵+◯×◯²+◯–◯ = 344