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Math Kangaroo practice

Name: ______________________Date: ____________6 questions · 21 points

1.Bo has 24 marbles and gives a third of them to Ana. How many more marbles does Bo have than Ana now?[3]
- A4
- B8
- C16
- D24
- E32
2.A cat walks 3 m north, then 4 m east, then 3 m south. How many metres is it now from where it started?[3]
- A0
- B3
- C4
- D7
- E10
3.One minute is left. Three questions have no answer written and you cannot do any of them. Nothing is taken off for a wrong answer. What should you do?[3]
- ALeave them blank, because guessing is not really doing the maths
- BWrite an answer for every one of them
- CAnswer only the one you nearly understand
- DLeave them blank so it is clear you ran out of time
- EWrite your working instead of an answer
4.Twice a number, with 3 added, gives 17. Which of the choices is the number?[4]
- A5
- B7
- C10
- D14
- E20
5.Ana has exactly 5 coins, each worth either 2 cents or 5 cents. Which of these could NOT be her total?[4]
- A13
- B16
- C19
- D21
- E25
6.A diagonal joins two corners of a shape that are not next to each other. How many diagonals does a hexagon have?[4]
- A6
- B9
- C12
- D15
- E18

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 — 8KA-0119Find what is actually being asked
- AI halved the difference, as if the question asked how many Bo should hand over to make them equal.
- CI gave how many Bo has now rather than how many more he has than Ana.
- DI gave the number Bo started with, without doing anything.
- EI added the two amounts together instead of comparing them.
2.C — 4KA-0120Draw the diagram
- AI assumed the walk was a loop because the north and south distances match.
- BI gave one of the distances walked rather than the distance from the start.
- DI added the two different directions together instead of drawing where the cat ends up.
- EI added up the whole distance walked, which is not the same as the distance from the start.
3.B — Write an answer for every one of themKA-0127Never leave a blank — there is no penalty
- AI treated guessing as dishonest, but the rules of the paper explicitly allow it and cost nothing.
- CI answered one and left two blanks that could each have scored, at no risk.
- DI tried to communicate with the marker, but only the answers are scored.
- EI offered working on a paper where only the chosen letter is marked.
4.B — 7KA-0131Back-solve from the answer choices
- AI tested the first choice, got 13, and picked it anyway because it was close.
- CI added the 3 to 17 instead of subtracting it, then halved the 20 that gave me.
- DI subtracted 3 from 17 and gave that without halving it.
- EI added 3 to 17 instead of undoing the addition by subtracting it.
5.D — 21KA-0132Eliminate impossible choices by bounding
- AI did not try one five and four twos, so I judged this total impossible.
- BI missed the combination of two fives and three twos.
- CI stopped listing after two fives and never reached three fives and two twos.
- EI forgot the case where every coin is a five, which is allowed by the wording.
6.B — 9KA-0150Try small cases first
- AI counted one diagonal from each corner and stopped there.
- CI counted three diagonals from each corner but forgot that each one gets counted from both ends.
- DI counted every line joining two corners, including the six sides.
- EI multiplied six corners by three diagonals each and never halved.

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