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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 19 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.Which of these is closest to the number of seconds in one day?[3]
- A1440
- B3600
- C24000
- D60000
- E86400
3.A rectangle has an area of 36 and sides that are whole numbers. Which of these could NOT be its perimeter?[4]
- A24
- B26
- C28
- D30
- E40
4.Work out 17 x 24, then check it a second way before you commit to an answer.[4]
- A340
- B368
- C388
- D398
- E408
5.You reach the ten 5-point questions with 18 minutes left. What is the best plan?[5]
- AStart at the first and work through in order until time runs out
- BRead all ten quickly, pick the two or three that look most doable, and fill in every answer before the end
- CSpend the whole time on the last question, since it is the hardest
- DAnswer the ones with the shortest statements
- EDivide the time evenly, about 1.8 minutes each

Math Kangaroo Star · https://kangaroo-atlas.vercel.app · seed 8 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.

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.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.
3.C — 28KA-0123Eliminate impossible choices by bounding
- AI ruled out the square 6 by 6, forgetting that a square is a rectangle.
- BI did not think to try 4 by 9, so I judged this perimeter impossible.
- DI missed the 3 by 12 rectangle when listing the factor pairs.
- EI stopped listing factor pairs before reaching 2 by 18.
4.E — 408KA-0129Sanity-check with a second method
- AI worked out 17 times 20 and forgot to add the 17 times 4 part.
- BI worked out 17 times 4 as 28 instead of 68 when adding the parts together.
- CI worked out 17 times 4 as 48 instead of 68 when adding the parts together.
- DI made a carrying slip of ten in the final addition of the two parts.
5.B — Read all ten quickly, pick the two or three that look most doable, and fill in every answer before the endKA-0130Managing the 5-point block
- AI worked in order, so a hard early question could eat the time meant for easier later ones.
- CI assumed the hardest question is worth the most, but every question in this block scores the same.
- DI used length as a proxy for difficulty, which is not reliable in this block.
- EI spread the time equally, which is too little for the questions I could do and wasted on the ones I could not.

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