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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.There are 5 boxes with 12 pencils in each. 17 pencils are given away and the rest are shared equally between 2 children. How many does each child get?[4]
- A21
- B21.5
- C26
- D43
- E60
4.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
5.Four litres of a solution that is 25 percent acid are mixed with six litres of a solution that is 50 percent acid. What percentage of the mixture is acid?[4]
- A40 percent
- B37.5 percent
- C75 percent
- D35 percent
- E30 percent

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 — 21.5KA-0115Multi-step arithmetic word problems
- AI halved the 60 pencils before giving any away.
- CI subtracted 17 from one box of 12 rather than from the whole 60.
- DI gave the number of pencils left over rather than what each child gets.
- EI gave the starting number of pencils without doing either of the steps.
4.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.
5.A — 40 percentKA-0165Mixtures and weighted averages
- BI averaged 25 and 50 without weighting by how much of each solution there was.
- CI added the two percentages together, which cannot be right because a mixture can never be stronger than its strongest ingredient.
- DI weighted the percentages by the wrong volumes, giving the 25 percent solution the larger share.
- EI used only the acid from the weaker solution and spread it over all ten litres.

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