Posted by permission of Michael Reid. Enjoy!

New Year’s Greetings!

Here are some fun puzzles to start the year.

1. Substitute the numbers 1, 2, … , 9 for the letters

a, b, … , i in the expression

to get 2020.

2. Use the digits 1, 2, … , 9 in order, and any of the usual

arithmetic operations and parentheses to get a number that is

as close as possible to, but not exactly equal to 2020.

3. Express 2019/2020 as a sum of distinct Egyptian fractions,

i.e. for integers

(but 202049 is not square).

5. Make a 4×4 matrix of single-digit integers (0-9) with digits

2, 0, 2, 0 on the main diagonal, and having determinant 2020.

Is it possible to do it with a symmetric matrix?

If you liked this one, check out other puzzles ont this blog tagged with “Michael Reid”.

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