# DAY 1:

Today’s Challenge

You’re playing Roll3Dice and have rolled the numbers 1, 2 and 4 with your three dice.

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

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

•  ◯–(◯+◯)  =  1
•  ◯×◯–◯  =  2
•  ◯÷◯+◯  =  3
•  ◯×(◯–◯)  =  4
•  ◯+◯–◯  =  5
•  ◯×◯+◯  =  6
•  ◯×◯–◯  =  7
•  ◯×◯×◯  =  8
•  ◯×◯+◯  =  9
•  ◯×(◯+◯)  =  10

Visit Roll3Dice.com for full details.

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 of the playing board 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?

Make 1 Challenge

Can you arrive at 1 by inserting 2, 4, 6 and 8 into the gaps on each line?

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