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Math Kangaroo practice

Name: ______________________Date: ____________6 questions · 18 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.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.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.Three more than twice a number is 19. What is the number?[3]
- A8
- B11
- C16
- D22
- E41
6.Two towns are 300 km apart. A car leaves each town at the same moment driving toward the other, one at 60 km/h and the other at 90 km/h. How long until they meet?[3]
- A2 hours
- B3 hours 20 minutes
- C4 hours
- D5 hours
- E1 hour

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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.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 — 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.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.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.
6.A — 2 hoursKA-0162Rate, time, distance
- BI used only the slower car's speed and divided 300 by 90 the wrong way round.
- CI averaged the two speeds to 75 km/h and divided 300 by it, which ignores that both cars move at once.
- DI divided 300 by 60, using only the slower car.
- EI halved the distance to 150 and then divided by 150, applying the closing speed twice.

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