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Blaise High School

Maths Challenge

Each fortnight, we will be setting a maths challenge which is open to everyone! Please email your beautiful solutions to Mr Soupionis:

Maths Challenge 2

Inder J Taneja, a retired maths professor from Brazil, likes to find ways to describe the new date using combinations of the same digit. For example, here’s how he does it with 1.

(1+1)11 −(1+1+1)(1+1+1) = 2021

Can you find combinations of 2’s, 3’s, 4’s 5’s, 6’s, 7s, 8’s and 9’s that also equal 2021? You are only allowed to use at most ten digits per equation. (Try at least one of them.) But you can concatenate, i.e, place two or more digits together in the same number, as above with 11.

Here’s one more example:

(2 x 22 + (2/2))2 – 2 – 2 = 2021