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Math Kangaroo practice

Name: ______________________Date: ____________8 questions · 28 points

1.Sam has only 2-cent and 5-cent coins. What is the largest amount under 15 cents that he cannot make exactly?[3]
- A1 cent
- B3 cents
- C7 cents
- D9 cents
- E13 cents
2.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
3.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
4.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
5.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
6.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
7.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
8.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

Math Kangaroo Star · 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.B — 3 centsKA-0010Money and change
- AI found the smallest amount that cannot be made rather than the largest one.
- CI did not notice that 7 is 2 plus 5, so I marked it as impossible without testing it.
- DI only tried using coins of one kind at a time and never mixed the two denominations.
- EI assumed odd amounts are impossible because one of the coins is even.
2.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.
3.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.
4.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.
5.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.
6.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.
7.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.
8.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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