DAY 226:

The Main Challenge

Your task is to arrive at the target number of 47 by using all five numbers 1, 2, 3, 4 and 5 exactly once each. Can you arrive at 47 in two different ways?

Remember, you have – × ÷ available to use in both calculations.

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 & 7th rows of the playing board contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

From the list, how many multiples of 8 are there?

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 TWELVE different ways to make 226 when using Lagrange’s Theorem. How many can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 24 and once each, with + – × ÷ available, which FOUR 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 226 by inserting 45, 6 and 7 into the gaps on each line?

  •  ◯×◯×◯+◯² = 226
  •  ◯²×double◯+double(◯+◯) = 226

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Your email address will not be published.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 *