# DAY/DYDD/GIORNO/NAP 269: The Main Challenge

There is just one set of three consecutive numbers in ascending order whose sum is less than 50 and follow this sequence:

•  square number – triangular number – prime number

Can you list this set of three numbers? The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 6th rows contain the following fourteen numbers:

3   5   10   12   18   20   32   33   35   44   49   54   56   60

Which three different numbers have a sum of exactly 100? The Factors Challenge

Which of the following numbers are factors of 269?

3     5     7     9     11     13     None of them

Hint: Use the ‘bus stop’ method of division to see if any of the above numbers divide exactly into 269 ] The Mathematically Possible Challenge

Using 37 and once each, with + – × ÷ available, which are the FIVE numbers it is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable The Target Challenge

Can you arrive at 269 by inserting 2, 3, 5, 6 and 7 into the gaps below?

•  (◯+◯+◯)²+(◯+◯)² = 269   