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Math Kangaroo practice

Name: ______________________Date: ____________4 questions · 12 points

1.Bo has 24 marbles and gives a third of them to Ana. How many more marbles does Bo have than Ana now?[3]
- A4
- B8
- C16
- D24
- E32
2.A cat walks 3 m north, then 4 m east, then 3 m south. How many metres is it now from where it started?[3]
- A0
- B3
- C4
- D7
- E10
3.Which of these is closest to the number of seconds in one day?[3]
- A1440
- B3600
- C24000
- D60000
- E86400
4.One minute is left. Three questions have no answer written and you cannot do any of them. Nothing is taken off for a wrong answer. What should you do?[3]
- ALeave them blank, because guessing is not really doing the maths
- BWrite an answer for every one of them
- CAnswer only the one you nearly understand
- DLeave them blank so it is clear you ran out of time
- EWrite your working instead of an answer

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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 — 8KA-0119Find what is actually being asked
- AI halved the difference, as if the question asked how many Bo should hand over to make them equal.
- CI gave how many Bo has now rather than how many more he has than Ana.
- DI gave the number Bo started with, without doing anything.
- EI added the two amounts together instead of comparing them.
2.C — 4KA-0120Draw the diagram
- AI assumed the walk was a loop because the north and south distances match.
- BI gave one of the distances walked rather than the distance from the start.
- DI added the two different directions together instead of drawing where the cat ends up.
- EI added up the whole distance walked, which is not the same as the distance from the start.
3.E — 86400KA-0124Estimate to the nearest choice
- AI gave the number of minutes in a day instead of the number of seconds.
- BI gave the number of seconds in one hour rather than in a whole day.
- CI multiplied the 24 hours by a round thousand instead of converting properly.
- DI multiplied 60 by a round thousand, using one conversion and inventing the other.
4.B — Write an answer for every one of themKA-0127Never leave a blank — there is no penalty
- AI treated guessing as dishonest, but the rules of the paper explicitly allow it and cost nothing.
- CI answered one and left two blanks that could each have scored, at no risk.
- DI tried to communicate with the marker, but only the answers are scored.
- EI offered working on a paper where only the chosen letter is marked.

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