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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 18 points

1.The chart shows how many pets four children own. How many more pets does Mia own than Leo?[3]
Text description of the figure
A bar chart with four bars labelled Ana, Leo, Mia and Sam. The vertical axis is marked in steps of 2 from 0 to 10. The bars reach 4, 2, 8 and 6 respectively.
- A2
- B3
- C6
- D8
- E10
2.Three notebooks cost 240 cents each. You pay with a 10 euro note. How many cents change do you get? One euro is 100 cents.[3]
- A240
- B280
- C520
- D720
- E760
3.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
4.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
5.A jug holds 900 ml of juice. A third is poured out, then 150 ml is added. How many millilitres are in the jug?[5]
- A450
- B600
- C750
- D900
- E1050

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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.C — 6KA-0015Reading tables, charts, and graphs
- AI read the vertical scale as going up in ones instead of in twos.
- BI counted the gridlines between the two bar tops instead of reading the values off the scale.
- DI gave Mia's total instead of the difference between Mia and Leo.
- EI added the two amounts together rather than subtracting to find how many more.
2.B — 280KA-0114Money and change
- AI subtracted the cost of one notebook rather than all three.
- CI bought two notebooks instead of three.
- DI gave the total cost of the notebooks instead of the change.
- EI converted the 10 euro note to 1000 cents but subtracted the price of only one notebook after doubling it.
3.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.
4.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.
5.C — 750KA-0137Multi-step arithmetic word problems
- AI poured out half instead of a third and then forgot to add the 150 ml back.
- BI poured out the third correctly but never added the 150 ml.
- DI assumed the 150 ml added back was the same as the amount poured out, so nothing changed.
- EI added the 150 ml to the full jug without pouring anything out first.

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