DAY/DYDD 24:

The Main Challenge

Can you arrive at the target answer of 24 by using each of the four numbers 1, 7, 13 and 13 exactly once each, and with + – × ÷ available?

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 2nd & 4th rows contain the following fourteen numbers:

3   8   10   17   28   32   35   44   48   54   55   60   63   64

Which three different numbers from the list, when added together, make a total of 77?

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 is only ONE way of making 24 when using Lagrange’s Theorem. Can you find it?

The Mathematically Possible Challenge

Using 56 and once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

40    41    42    43    44    45    46    47    48    49

#NumbersIn40s

The Target Challenge

Can you arrive at 24 by inserting 2, 3, 6 and 8 into the gaps on each line?

  •  ◯×◯+◯–◯ = 24
  •  (◯–◯)²×◯×◯ = 24
  •  (◯+◯)×◯–◯ = 24

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Your email address will not be published.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.