DAY/DYDD 85:

T he Main Challenge

Find the sum of the following three numbers:

  • twelve thousand and two
  • thirty five thousand and thirty-five
  • fifty five thousand, one hundred and fifty-five

Write your answer in words.

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 2nd & 3rd rows contain the following fourteen numbers:

8   13   17   25   28   36   42   45   48   55   63   64   66   80

How many multiples of 9 are on the list?

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 FIVE ways of making 85 when using Lagrange’s Theorem. Can you find them?

The Mathematically Possible Challenge

Using 23 and 11 once each, with + – × ÷ available, which is the ONLY number that is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable

The Target Challenge

Can you arrive at 85 by inserting 5, 10, 15 and 20 into the gaps on each line?

  •  ◯×◯+◯– = 85
  •  ◯²+◯×(◯÷◯)² = 85
  •  (◯+÷)×◯ = 85

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Your email address will not be published.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.