DAY 300:

The Main Challenge

Here’s a Mathelona challenge for you to try based on the ones found in my pocket book, details of which can be found by clicking Mathelona.

You must make all four lines work out arithmetically by filling the 16 gaps with digits from 0 to 9.  Remember, each digit can only be inserted a maximum of TWICE:

◯  +  ◯   =    13    =   ◯  +  ◯
◯  +  ◯   =     8     =   ◯  –  ◯
◯  +  ◯   =    12    =   ◯  ×  ◯
◯  +  ◯   =     2     =   ◯  ÷  ◯

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 4th & 5th rows contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

What is the sum of the factors of 70 listed above?

The Factors Challenge

Which is the ONLY number in the following list that is not a factor of 300?

2    3    4    5    6    9    10    12    15    20

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which are the only THREE 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 300 by inserting 10, 20, 30, 40 and 50 into the gaps below?

  •  ◯²–◯×◯÷(◯–◯) = 300

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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