DAY/DYDD 49: T he Main Challenge

You roll two normal six-sided dice, both containing the numbers 1-6.  When multiplying the two numbers that show, how many DIFFERENT answers is it possible to obtain? 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 3rd & 7th rows contain the following fourteen numbers:

4   11   13   24   25   27   30   36   42   45   66   70   77   80

What is the sum of the factors of 90? 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 FOUR ways of making 49 when using Lagrange’s Theorem. Can you find them? The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTables

The Target Challenge

Can you arrive at 49 by inserting 1, 2, 3 and 4 into the gaps on each line?

•  (+)²×()² = 49
•  (+)²×√◯ = 49
•  ◯(+)×◯ = 49 Answers can be found here. Click Paul Godding for details of online maths tuition. This entry was posted in 7puzzleblog.com. Bookmark the permalink.

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