# DAY 366:

Today’s Challenge

You are playing Roll3Dice and have just rolled 2, 5 and 6 with your three dice.

Using 2, 5 and 6 once each, with + – × ÷ available, it is possible to make seven target numbers from 1-10, as shown below.  Place the three numbers into the gaps on each line so that all seven calculations work out:

•   ◯+◯–◯  =  1
•   ◯–◯÷◯  =  2
•   ◯+◯–◯  =  3
•   ◯×◯–◯  =  4
•   ◯×◯–◯  =  7
•   ◯+◯÷◯  =  8
•   ◯+◯–◯  =  9

For full details, visit Roll3Dice.com or the hashtag #Roll3Dice.

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 Bottom-Left to Top-Right diagonal of the playing board contains the following seven numbers:

3       9       25       27       33       64       81

For the final day of the year, a 2-part 7puzzle challenge:

Part 1: How many of the listed numbers are neither square numbers nor cube numbers?

Part 2: Use these seven numbers exactly once each, with + – × ÷ available to use in your calculation, to arrive at our favourite target number of 7.

Make 366 Challenge

Can you arrive at 366 by inserting 1, 3, 3, 6 and 6 into the gaps below?

[²+(◯–◯)²]×(◯²–◯) = 366

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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