DAY 333:

The Main Challenge

Each of these three numbers is the product of three consecutive whole numbers:

120       210       336

What is the next number in this sequence?

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 2nd & 6th columns contain the following fourteen numbers:

2   7   10   16   30   33   36   40   45   48   49   54   64   70

How many pairs of numbers have a sum of 100?

The Factors Challenge

Which TWO of the following numbers are factors of 333?

3    5    7    9    11    13    15    17    19

The Mathematically Possible Challenge

Using 29 and 12 once each, with + – × ÷ available, which are the FOUR numbers it is possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

#3TimesTable

The Target Challenge

Can you arrive at 333 by inserting 1, 1, 2, 3 and 3 into the gaps below?

  •  ((◯+◯)²+◯)×(◯³+◯) = 333

Answers can be found here.

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