# DAY/DYDD 301: The Main Challenge

This number trail contains ten arithmetical steps. Start with the number 40, then:

•  subtract twenty-six
•  ÷7
•  ×10
•  30% of this
•  multiply by 3
•  two-thirds of this
•  ×12
•  double it
•  ÷3 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 6th & 7th rows of the playing board contain the following fourteen numbers:

4   5   11   12   18   20   24   27   30   33   49   56   70   77

How many multiples of 3 are on the list? The Factors Challenge

Which is the ONLY number on the following list that is a factor of 301?

3     5     7     9     11     13     15     17    19 The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

8    16    24    32    40    48    56    64    72    80

#8TimesTable The Target Challenge

Can you arrive at 301 by inserting 2, 3, 4, 5 and 6 into the gaps below?

•  ◯+◯³+◯×(◯–◯) = 301   