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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 15 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.A rope is 3.5 metres long. A second rope is 240 centimetres long. How much longer is the first rope, in centimetres?[3]
- A1.1
- B11
- C110
- D236.5
- E590
3.A bag of flour holds 2.5 kg. 1750 g are used. How many grams are left?[3]
- A0.75
- B75
- C750
- D1250
- E1747.5
4.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
5.Three more than twice a number is 19. What is the number?[3]
- A8
- B11
- C16
- D22
- E41

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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.C — 110KA-0029Unit conversion
- AI subtracted correctly in metres but then gave the answer in metres when centimetres were asked for.
- BI converted 3.5 metres to 35 centimetres instead of 350.
- DI subtracted without converting at all, taking 3.5 away from 240.
- EI added the two lengths instead of finding the difference between them.
3.C — 750KA-0113Unit conversion
- AI worked in kilograms and gave the answer in kilograms when grams were asked for.
- BI converted 2.5 kg to 250 g rather than 2500 g.
- DI subtracted 1750 from 3000, mis-converting 2.5 kg as three thousand grams.
- EI subtracted without converting at all, taking 2.5 away from 1750.
4.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.
5.A — 8KA-0144Translating a sentence into an equation
- BI subtracted 8 from 19 rather than working the two steps backwards.
- CI subtracted the 3 from 19 and gave that without halving it.
- DI added the 3 to 19 instead of subtracting it.
- EI doubled 19 and added 3, applying the machine forwards instead of undoing it.

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