DAY 230:

The Main Challenge

Use all three numbers in each of the five groups below, with + – × ÷ available, to try and make the target of 23. But for one of the groups it is impossible. Which one?

  •   1    4    6
  •   2    5    5
  •   3    4    5
  •   3    4    6
  •   3    5    6

Full details of our number & strategy board game, click Mathematically Possible.

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

Which three different numbers have a sum of 77?

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 ELEVEN different ways to make 230 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 is the ONLY number is it possible to make from the list below?

7    14    21    28    35    42    49    56    63    70

#7TimesTable

The Target Challenge

Can you arrive at 230 by inserting 2, 3, 5, 6 and 7 into the gaps below?

  •  ◯×(◯+◯)²+◯×◯ = 230

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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