# DAY 313:

Today’s Challenge

Consider the four groups of numbers 3 3 3, 4 4 4, 5 5 5 and 6 6 6.

There are only six target numbers it is possible to make in the range 10-30 when + – × ÷ is available to use.

One of these is 12, which can be made by doing either 3×3+3 or 4+4+4. Can you find the other FIVE target numbers it is possible to make when using one or more of these groups?

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 & 5th rows of the playing board contain the following fourteen numbers:

6    7    8    16    17    21    28    48    50    55    63    64    81    84

Which number is the product of two other numbers on the list?

Make 313 Challenge

Can you arrive at 313 by inserting 1, 3, 5, 7 and 9 into the gaps below?

◯³–(◯–◯)×◯×◯ = 313

Answers can be found here.

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