DAY/DYDD 128:

The Main Challenge

Using all four decimal numbers 0.4, 0.8, 1.2 and 3.5 once each, and with + – × ÷ available, can you arrive at the target answer of 7?

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

What is the difference between the two prime numbers listed above?

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 128 when using Lagrange’s Theorem. Can you find it?

The Mathematically Possible Challenge

Using 36 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 128 by inserting 4, 8, 10 and 12 into the gaps on each line?

  •  ◯×◯+◯×◯ = 128
  •  ◯×◯+◯²–◯ = 128
  •  ◯⁴×◯÷(◯+◯) = 128

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Your email address will not be published.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.