DAY/DYDD 13:

The Main Challenge

Starting from 2, list the first seven even numbers that are NOT multiples of 3, 5 or 7. What is the 7th number in your list?

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 & 6th rows contain the following fourteen numbers:

5   6   7   12   16   18   20   21   33   49   50   56   81   84

What is the sum of the multiples of 8?

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 TWO ways to make 13 when using Lagrange’s Theorem. Can you find both?

The Mathematically Possible Challenge

Using 56 and once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

#3TimesTable

The Target Challenge

Can you arrive at 13 by inserting 1, 2, 3 and 4 into the gaps on each line?

  •  ◯×◯+◯–◯ = 13
  •  ◯×(◯+◯)+ = 13
  •  (◯²+²+◯)÷◯ = 13

Answers can be found here.

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