# day/dydd 2 at 7puzzleblog.com

The Main Challenge

Using the numbers on a traditional clock face, 1 to 12, find the following number:

•  it is half of one of the numbers on the clock face,
•  it is also two-thirds of another number on the clock face,
•  … and three-quarters of another!

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 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 total when adding together the prime numbers and square numbers?

The Roll3Dice Challenge

From six of the seven groups of numbers below, it is possible to make today’s target number of 2 when each number in the group is used once and + – × ÷ is available:

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

Which is the only group that CANNOT make 2?

The Mathematically Possible Challenge

Using 45 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

4    8    12    16    20    24    28    32    36    40

#4TimesTable

The Target Challenge

Can you arrive at 2 by inserting 2, 3, 5 and 7 into the four gaps on each line?

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