DAY 201:

The Main Challenge

When playing Mathematically Possible, players analyse which target numbers can (or cannot) be made from the three numbers rolled on their dice, but this particular challenge is slightly different as you are only allowed to add and subtract (+ and –) when calculating.

Use the numbers 3, 6 and 10 once each to find the only FOUR target numbers from 1-30 that are mathematically possible to achieve.

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 sum of the multiples of 7 listed above?

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 TEN different ways to make 201 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?

6    12    18    24    30    36    42    48    54    60


The Target Challenge

Can you arrive at 201 by inserting 358 and 9 into the gaps on each line?

  •  (◯×◯–◯)×◯ = 201
  •  (◯+◯)²+◯–◯ = 201

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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