Sub-topic 1
2025 · National One-Eighth
Free
Closure of division on integers, non-zero rationals and irrationals (true/false)
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Sub-topic 2
2025 · National One-Eighth
Premium
Classifying decimals as terminating, repeating or irrational (true/false)
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Sub-topic 3
2024 · National Preliminary
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Parity of sums and products of natural numbers (true/false)
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Sub-topic 4
2024 · National Preliminary
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Riddle: the binary number system
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Sub-topic 5
2018 · National Preliminary
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Riddle: the or logic gate in boolean algebra
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Sub-topic 6
2025 · National Quarterfinal
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Listing the set of positive divisors of $18$ from set-builder notation
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Sub-topic 7
2021 · National Preliminary
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Finding the base $n$ when $123_n=51_{10}$
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Sub-topic 8
2021 · National Preliminary
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Riddle: intersection of sets
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Sub-topic 9
2024 · National Quarterfinal
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Riddle: implication, a conditional compound statement
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Sub-topic 10
2026 · National Preliminary
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Riddle: truth value of a logical statement
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Sub-topic 11
2025 · National Preliminary
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Integer elements of the set defined by $-3\lt 2x-5\lt 9$
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Sub-topic 12
2023 · National Preliminary
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Subsets and proper subsets, including the empty set (true/false)
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Sub-topic 13
2023 · National Preliminary
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Parity of sums and products of integers (true/false)
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Sub-topic 14
2014 · National Quarterfinal
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Negating universal and existential statements
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Sub-topic 15
2020 · National One-Eighth
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Riddle: disjunction, true in three of four truth-table rows
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Sub-topic 16
2026 · National Preliminary
Premium
Rationalising the denominator of $\dfrac{5-2\sqrt{3}}{5+2\sqrt{3}}$
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