DAY 320:

The Main Challenge

In this particular number puzzle, three UNIQUE digits from 1-9 must be used to arrive at a specified target number; today is 42.

The formula is always the same; multiply two numbers together, then either add or subtract a third number to achieve your target.

One way to make 42 is (9×4)+6; can you find the only other TWO ways of making 42?

[Note:  (9×4)+6 and (4×9)+6 counts as just ONE way.]

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 5th & 6th columns contain the following fourteen numbers:

7   8   11   14   18   25   30   36   40   44   49   54   64   84

What is the difference between the highest and lowest multiples of 4?

The Factors Challenge

Which SIX numbers below are factors of 320?

2    4    6    8    10    12    14    16    18    20

The Mathematically Possible Challenge

Using 47 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

100   101   102   103   104   105   106   107   108   109

#Numbers100to109

The Target Challenge

Can you arrive at 320 by inserting 10, 20, 30, 40 and 50 into the gaps on each line below?

  •  ◯×◯×(◯–◯)÷◯ = 320
  •  (◯+◯)×◯÷(◯–◯) = 320
  •  (÷)× = 320

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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