DAY 241:

The Main Challenge

You’ve rolled the numbers 3, 5 and 6 with three dice.  Using these once each, with + – × ÷ available, which three target numbers from 1-10 are NOT possible to make?

Visit Roll3Dice.com and the hashtag #Roll3Dice for details.

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 5th & 7th rows of the playing board contain the following fourteen numbers:

4   6   7   11   16   21   24   27   30   50   70   77   81   84

What is the sum of the multiples of 10?

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 TEN different ways to make 241 when using Lagrange’s Theorem. How many of them can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 25 and 10 once each, with + – × ÷ available, which are the only TWO 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 241 by inserting 1, 3, 5, 7 and 9 into the gaps on each line?

  •  ◯³+(◯+◯)²+(◯–◯)² = 241
  •  ◯³+(◯+◯)²+double(◯–◯) = 241
  •  ◯³+(◯+◯)²+treble(◯–◯) = 241

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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