Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Rule: "Only ticket-holders may enter." Nina has no ticket. Can she enter?
Show worked solution
No — "only" locks out everyone without a ticket.
2 Rule: "Only ticket-holders may enter." Ori HAS a ticket. Is he guaranteed entry?
Show worked solution
Can't tell — a ticket keeps the door open but guarantees nothing (the venue may be full).
3 In a whose-reasoning question, how many answer choices are there always? (number)
Show worked solution
4: first only, second only, both, neither.
Level 2 · Core
4 Rule: "Whenever the bell rings, students line up." The students are lining up. Did the bell definitely ring?
Show worked solution
No — lining up could have another cause (a teacher's instruction). "Whenever A, B" doesn't mean B only comes from A.
5 Box: "Drills always happen on Fridays at 11 am." The alarm rings at 9 am. Could it be a drill?
Show worked solution
No — drills are locked to 2 pm, so a 9 am alarm cannot be one.
6 Rule: "Only students who finish their work may play chess." Speaker: "Ada finished her work, so she'll definitely be playing chess." Correct or incorrect?
Show worked solution
Incorrect — finishing keeps the door open; it doesn't force chess to happen (Ada might prefer to read, or the sets may be in use).
Level 3 · Challenge
7 Box: "An emperor penguin can be up to 120 cm tall." Speaker: "This penguin is 90 cm, so it can't be an emperor." Correct or incorrect?
Show worked solution
Incorrect — "up to 120 cm" is a maximum; 90 cm is allowed.
8 Rule: "Whenever Mr Lee's team wins, he wears his lucky scarf." Wei: "He's wearing the scarf — his team must have won!" Find the flaw: is Wei correct or incorrect?
Show worked solution
Incorrect — the rule doesn't say winning is the ONLY reason for the scarf; he might just be cold. Escape route found → Wei is wrong.
9 Rule: "All library books must be returned by Friday. Only returned books can be borrowed again." Jo returned her book Thursday. Speaker: "So Jo can definitely borrow it again next week." Correct or incorrect?
Show worked solution
Incorrect — returning makes borrowing POSSIBLE ("can"), not guaranteed: someone else might borrow it first.