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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 20 points

1.Ravi cycles 12 km at 24 km per hour, then walks 6 km at 4 km per hour. How many minutes does the whole journey take?[4]
- A30
- B90
- C105
- D120
- E150
2.One tap fills a tank in 6 hours and another fills it in 3 hours. With both running, how long does the tank take to fill?[4]
- A1 hour
- B2 hours
- C4.5 hours
- D9 hours
- E3 hours
3.A mother is 32 and her child is 8. In how many years will the mother be exactly three times as old as the child?[4]
- A2
- B4
- C8
- D12
- E24
4.One pipe fills a pool in 12 hours and another fills it in 4 hours. With both running, how many hours does the pool take to fill?[4]
- A3
- B4
- C6
- D8
- E16
5.A train covers 150 km at a steady 60 km per hour. How many minutes does the journey take?[4]
- A25
- B90
- C150
- D210
- E9000

Kangaroo Atlas · https://kangaroo-atlas.vercel.app · seed 1 · 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.D — 120KA-0036Rate, time, distance
- AI worked out the cycling leg and gave that as the answer, forgetting the walk entirely.
- BI worked out the walking leg and gave that as the answer, forgetting the cycling entirely.
- CI wrote half an hour as 15 minutes instead of 30 and added it to the 90 minute walk.
- EI rounded the cycling leg up to a whole hour instead of keeping it as half an hour.
2.B — 2 hoursKA-0044Combined work rates
- AI subtracted the two times from each other rather than adding the rates.
- CI averaged the two times, which would only be right if the taps took turns instead of running together.
- DI added the two times together, which makes the tank slower with two taps than with one.
- EI used the faster tap's time alone and ignored the contribution of the slower one.
3.B — 4KA-0111Age problems
- AI aged only the child and left the mother's age unchanged.
- CI looked for when the mother is four times as old rather than three times.
- DI used the age difference of 24 and halved it, without checking the ratio it gives.
- EI gave the difference between their ages, which never changes, instead of a number of years.
4.A — 3KA-0116Combined work rates
- BI gave the faster pipe's time on its own, forgetting the slower one helps as well.
- CI halved the slower pipe's time rather than adding the two rates.
- DI averaged the two times, which would only be right if the pipes took turns.
- EI added the two times, which makes two pipes slower than one - an impossible answer.
5.C — 150KA-0117Rate, time, distance
- AI divided 150 by 60 and read the answer as minutes rather than hours.
- BI used 1.5 hours instead of 2.5, dividing 90 by 60 rather than 150.
- DI converted 2.5 hours as two hours and fifty minutes.
- EI multiplied the distance by 60 instead of dividing, then converted.

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