DAY 322:

Today’s Challenge

You have the same starting number and final answer, both 32, with lots of arithmetical steps in between, but the 10th step is missing! What should it be if it involves adding a whole number?

Start with the number 32, then:

5    ÷9    +4    ×3    3    ÷2    ×5    5    ÷2     ?     ×2    +4    ÷3    ×2    =    32

For the real number puzzle enthusiast, there is another possible step which involves multiplying by a decimal number. What is it?

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 1st & 7th columns of the playing board contain the following fourteen numbers:

5    9    13    21    22    24    27    28    32    50    55    56    60    66

What is the sum of the multiples of 7?

Make 322 Challenge

Can you arrive at 322 by inserting 6, 7, 8, 9 and 10 into the gaps below?

◯×[◯²×(◯–◯)+◯] = 322

Answers can be found here.

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