DAY 231:

The Main Challenge

Try the following Mathelona-style challenge, similar to those found in our pocket book, details of which can be found by clicking Mathelona.

0    0    1    2    2    2    2    4    4    5    5    6    6    7    7    8

◯  +  ◯   =     6     =   ◯  +  ◯
◯  +  ◯   =     5     =   ◯  –  ◯
◯  +  ◯   =    12    =   ◯  ×  ◯
◯  +  ◯   =     7     =   ◯  ÷  ◯

Your task is to make all four lines work out arithmetically by placing the 16 listed digits into the 16 gaps.  Can you complete it?

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 of the playing board contain the following fourteen numbers:

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

From the list, find two pairs of numbers that each have a difference of 29.

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 EIGHT different ways to make 231 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 are the SIX numbers it is possible to make from the list below?

8    16    24    32    40    48    56    64    72    80

#8TimesTable

The Target Challenge

Can you arrive at 231 by inserting 510, 1520 and 25 into the gaps below?

  •  ◯×◯–◯–◯÷◯ = 231

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Your email address will not be published.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 *