DAY/DYDD 60:

The Main Challenge

Happy St David’s Day/Dydd Gŵyl Dewi Hapus.

It’s our National Day in Wales today so try our special alphabet number puzzle; probably the hardest you can ever try!

The longest place name in the UK is a small village on the island of Anglesey. When allocating each letter of the English alphabet a numerical value, A=1 B=2 C=3 . . . Z=26 and adding the individual letters, what is the total value of  LLANFAIRPWLLGWYNGYLLGOGERYCHWYRNDROBWLLLLANTISILIOGOGOGOCH?

If you wish to hear it pronounced properly, click the following links and listen to Hollywood actor Michael Sheen and weatherman Liam Dutton.

The 7puzzle Challenge

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

The 4th & 6th rows contain the following fourteen numbers:

3   5   10   12   18   20   32   33   35   44   49   54   56   60

Which two numbers, when each is tripled, are also on the list?

The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are THREE ways of making 60 when using Lagrange’s Theorem. Can you find them?

The Mathematically Possible Challenge

Using 16 and once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

7    14    21    28    35    42    49    56    63    70

#7TimesTable

The Target Challenge

Can you arrive at 60 by inserting 2, 3, 4 and 7 into the gaps on each line?

  •  (+◯)×(+◯) = 60
  •  (◯–◯)×◯× = 60
  •  ◯²+◯²+◯– = 60
  •  ◯²×◯²+◯– = 60

Answers can be found here.

Click Paul Godding for details of online maths tuition.

This entry was posted in 7puzzleblog.com. Bookmark the permalink.

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.