Sub-topic 1
2024 · National Preliminary
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Evaluating $3*(2*1)$ for $m*n=m+n\sqrt{3}$
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Sub-topic 2
2024 · National Preliminary
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Evaluating $3*(2*5)$, $(2*3)*5$ and $5*(3*2)$ for $m*n=m\sqrt{2}+n\sqrt{5}$
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Sub-topic 3
2026 · National Semifinal
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Identity element of $a*b=a+b+ab$ on the non-negative integers
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Sub-topic 4
2020 · National One-Eighth
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Solving $x\star3=37$ for $a\star b=a^2-ab+b^2$
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Sub-topic 5
2021 · National Preliminary
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Evaluating $3\star(-3)$ for $a\star b=a+b-ab$
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Sub-topic 6
2021 · National Semifinal
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Identity element of $a\star b=a+b+ab$
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Sub-topic 7
2022 · National Preliminary
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Evaluating $1\star(3\star-2)$ for $a\star b=a+b-ab$
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