DAY/DYDD 132:

The Main Challenge

The 15 arithmetical steps below include percentage & fraction calculations as well as big additions & multiplications:

Start with the number 28, then:

  •  subtract seventy-five percent
  •  +69
  •  –4
  •  1/2 of this
  •  square root of this
  •  ×15
  •  multiply by one
  •  +80%
  •  –10
  •  add four hundred and sixty-five
  •  subtract three hundred and seventeen
  •  two-thirds of this
  • ×0.5
  •  increase by 10%
  •  decrease by 10%

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 3rd & 6th rows contain the following fourteen numbers:

5   12   13   18   20   25   33   36   42   45   49   56   66   80

Which of these numbers, when 65 is added to it, becomes a square number?

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 SEVEN ways of making 132 when using Lagrange’s Theorem. Can you find them all?

The Mathematically Possible Challenge

Using 36 and 10 once each, with + – × ÷ available, which FOUR numbers 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 132 by inserting 4, 5, 6 and 8 into the gaps on each line?

  •  (◯+◯)×(◯+◯) = 132
  •  (◯×◯–double◯)×◯ = 132

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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