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Math Kangaroo practice

Name: ______________________Date: ____________2 questions · 10 points

1.Ana says "Bo is lying." Bo says "Cal is lying." Cal says "Ana and Bo are both lying." How many of the three are telling the truth?[5]
- A0
- B1
- C2
- D3
- Eit cannot be decided
2.Four children stand in a line. Ana is not first. Bo stands directly behind Ana. Cal is last. Who is first?[5]
- AAna
- BBo
- CCal
- DDee
- Eit cannot be decided

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Answer key — Math Kangaroo practice

Each wrong choice carries the thinking that produces it. When a student picks C, this is what they were doing.

1.B — 1KA-0017Truth-tellers and liars
- AI assumed everyone could be lying at once without checking that Cal's statement would then be true.
- CI found one consistent truth-teller and added another without testing whether both could hold together.
- DI assumed everyone was telling the truth without noticing that Ana's statement then contradicts Bo's.
- EI gave up after one assumption led to a contradiction, instead of trying the other assumption.
2.D — DeeKA-0136Ordering and ranking from clues
- AI ignored the very first clue, which rules Ana out of the front directly.
- BI put Bo at the front, but Bo must have Ana immediately in front of him.
- CI forgot that Cal is fixed at the back of the line.
- EI stopped once two arrangements seemed possible, without testing whether the second one actually fits every clue.

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