# day/dydd 1 at 7puzzleblog.com The Main Challenge

You have rolled the numbers 1, 2 and 4 with three dice.

This is a truly unique combination, being the only one where you can make ALL ten target numbers from 1-10, using + – × ÷ as seen below.

Can you place 1, 2 and 4 into the three gaps on each line so all ten calculations work out?

•  ◯–(◯+◯)  =  1
•  ◯×◯–◯  =  2
•  ◯÷◯+◯  =  3
•  ◯×(◯–◯)  =  4
•  ◯+◯–◯  =  5
•  ◯×◯+◯  =  6
•  ◯×◯–◯  =  7
•  ◯×◯×◯  =  8
•  ◯×◯+◯  =  9
•  ◯×(◯+◯)  =  10 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 & 2nd rows contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

What is the sum of all the multiples of 5? The Roll3Dice Challenge

From six of the seven groups of numbers below, it is possible to make today’s target number of 1 when each number in the group is used once and + – × ÷ is available:

•   1   1   1
•   1   2   5
•   1   6   6
•   2   2   5
•   2   3   6
•   3   3   5
•   3   4   6

Which is the only group that CANNOT make 1?

The Mathematically Possible Challenge

Using 45 and 10 once each, with + – × ÷ available, which THREE numbers is it 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 1 by inserting 2, 4, 6 and 8 into the four gaps on each line?

•  (+◯)÷(◯+◯) = 1
•  (◯×◯)÷(◯+◯) = 1
•  (◯–◯)–(◯÷◯) = 1
•  (◯+◯–◯)÷◯ = 1
•  ◯²÷(◯+◯+◯) = 1   