DAY 203:

The Main Challenge

Starting with the number 7, complete the following sixteen arithmetic steps:

  • multiply by ten
  • 40 percent of this
  • double it
  • multiply the digits together
  • increase by 20 percent
  • divide by three
  • increase by 50 percent
  • one-third of this
  • double it
  • square it
  • five-sixths of this
  • decrease by 10 percent
  • divide by three
  • add thirty-nine
  • increase by 20 percent
  • seven-ninths of this

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 2 up to 84.

The 1st & 3rd rows of the playing board contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

What is the difference between the sum of the odd numbers and sum of the even numbers?

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 EIGHT different ways to make 203 when using Lagrange’s Theorem. How many can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 57 and 11 once each, with + – × ÷ available, which are the only THREE 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 203 by inserting 347 and 8 into the gaps on each line?

  •  (◯×◯–◯)×◯ = 203
  •  (◯+◯)²–◯²–double◯ = 203
  •  ◯³–◯×(◯³+◯) = 203

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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