DAY/DYDD 17:

The Main Challenge

Find the answer to this large number trail which involves fourteen arithmetical steps and includes fraction and percentage calculations.

Start with the number 11, then:

  • double it
  • 50% of this
  • +50
  • subtract thirty-five
  • ÷2
  • +37
  • 3/5 of this
  • +70
  • 2%
  • 1/2 of this
  • +311
  • subtract twenty
  • add ten
  • ÷7

What is your final answer?

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 contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

What is the difference between the highest multiples of 5 and 6?

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 only TWO ways of making 17 when using Lagrange’s Theorem. Can you find both?

The Mathematically Possible Challenge

Using 56 and once each, with + – × ÷ available, which are the only TWO numbers it is 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 17 by inserting 2, 5, 6 and 6 into the gaps on each line?

  •  ◯²–√(◯×◯)–◯ = 17
  •  ◯²×◯÷◯+◯ = 17
  •  (◯÷◯+◯)×◯ = 17

Answers can be found here.

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