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IMC 2023 Grade 3 — ROUND 1 Question 12

IMC · IMC 2023 Grade 3 — ROUND 1

Question 12

Knowing that $3\mathbin{\Phi}1=4$, $9\mathbin{\Phi}2=13$, $1\mathbin{\Phi}3=10$, calculate $4\mathbin{\Phi}5$.

Editorial grading convention: interpret $a\mathbin{\Phi}b$ as $a+b^2$, the simple rule matching the examples.