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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 18 points

1.Ana has three times as many stickers as Bo. Together they have 48. How many does Bo have?[3]
Text description of the figure
A bar model. Bo's bar is one box. Ana's bar is three boxes of the same size, drawn beneath it. A bracket spanning all four boxes is labelled 48.
- A12
- B16
- C24
- D32
- E36
2.The chart shows how many books four children read. How many did they read altogether?[3]
Text description of the figure
A bar chart with four bars labelled Ana, Bo, Cal and Dee. The vertical axis is marked in steps of 5 from 0 to 25. The bars reach 10, 25, 5 and 15.
- A11
- B25
- C45
- D55
- E60
3.A pack of 24 pencils is shared equally among 4 children. Each child then gives 2 pencils to a teacher. How many pencils do the children have left altogether?[4]
- A4
- B6
- C16
- D18
- E22
4.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
5.A driver travels from one town to another at an average of 60 km/h and returns along the same road at an average of 40 km/h. What is the average speed for the whole journey?[4]
- A48 km/h
- B50 km/h
- C52 km/h
- D24 km/h
- E100 km/h

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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.A — 12KA-0110Bar models for part–whole
- BI split the 48 into three parts instead of the four the bars actually make.
- CI halved the total, as if the two of them had the same number each.
- DI found Bo's share correctly but then gave Ana's number instead.
- EI gave Ana's total, which is three of the four boxes, rather than Bo's one.
2.D — 55KA-0118Reading tables, charts, and graphs
- AI read the axis as going up in ones and added the gridline heights instead of the values.
- BI gave the tallest bar rather than the total of all four.
- CI added only three of the four bars, missing the shortest one.
- EI read the shortest bar as 10 rather than 5, because the axis steps in fives.
3.C — 16KA-0019Multi-step arithmetic word problems
- AI found what one child has left and gave that instead of the total for all four.
- BI divided 24 by 4 and then subtracted 2 twice, mixing up per-child steps with total steps.
- DI subtracted 2 pencils once from the whole pack instead of once from each of the four children.
- EI subtracted the 2 before sharing, so only one lot of 2 ever came out of the total.
4.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.
5.A — 48 km/hKA-0174Rate, time, distance
- BI averaged the two speeds, which would only be right if equal TIME were spent at each, not equal distance.
- CI weighted the two speeds by their own values instead of by the time each leg took.
- DI halved the correct answer, dividing by the total distance twice.
- EI added the two speeds together, which gives a number faster than either leg and so cannot be an average of them.

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