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5 on the sheet, 84 match these filtersReshuffle Start overseed 8

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Math Kangaroo practice

Name: ______________________Date: ____________5 questions · 24 points

1.Five children queue up. Ana is somewhere ahead of Bo. Cal is behind Bo but ahead of Dee. Eve is last. Who is second in the queue?[4]
- AAna
- BBo
- CCal
- DDee
- Eit cannot be decided
2.On the street grid shown you may only walk right or down. One junction is closed. How many routes go from the top-left corner to the bottom-right corner?[5]
Text description of the figure
A grid of streets with junctions arranged 4 across and 4 down. The junction one step right and one step down from the top-left corner is marked closed with a cross.
- A8
- B10
- C12
- D18
- E20
3.A drawer holds 10 red socks, 10 blue socks and 10 green socks, all mixed up in the dark. How many socks must you take out to be sure of having a matching pair?[5]
- A2
- B3
- C4
- D11
- E31
4.A class of 12 scored an average of 8. Another class of 18 scored an average of 13. What is the average for all 30 students together?[5]
- A10.5
- B11
- C11.5
- D12
- E21
5.You are 20 minutes into a 75-minute paper of 30 questions, still on question 9, and four minutes in with no progress. What is the best move?[5]
- AKeep going — four minutes are already invested
- BAnswer it with your best guess, mark it, and move on
- CSkip it, leave it blank, and come back at the end
- DGo back and re-check questions 1 to 8
- EJump to question 30 and work backwards

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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 — BoKA-0092Ordering and ranking from clues
- AI gave the child who is first rather than the one who is second.
- CI placed Cal directly after Ana, reading ahead of Dee as meaning immediately ahead.
- DI built the order backwards from the last position instead of forwards from the first.
- EI assumed the clues left several orders open without checking that they chain into a single one.
2.A — 8KA-0031Counting paths on a grid
- BI assumed closing one junction removes about half the routes and halved the total of 20.
- CI counted the routes that pass through the closed junction and gave that instead of the ones that avoid it.
- DI subtracted only the 2 routes that reach the closed junction, not all the routes that continue through it.
- EI counted every route on the open grid and forgot to remove the ones through the closed junction.
3.C — 4KA-0040The pigeonhole principle
- AI answered with the lucky case, where the first two socks happen to match.
- BI used the number of colours as my answer without adding one for the sock that must repeat.
- DI worked from the number of socks of each colour instead of the number of colours.
- EI took the whole drawer, guaranteeing a pair but far more socks than are needed.
4.B — 11KA-0112Mixtures and weighted averages
- AI averaged the two averages, ignoring that the classes are different sizes.
- CI weighted the averages but used the wrong class size against each one.
- DI leaned towards the larger class's average without computing the totals.
- EI added the two averages together instead of combining them.
5.B — Answer it with your best guess, mark it, and move onKA-0126Time triage: now, later, or guess
- AI let the time already spent decide, but that time is gone whatever I do next.
- CI moved on but left a blank, which scores nothing if I never get back to it.
- DI spent time re-reading work I had no reason to doubt, while 21 unseen questions waited.
- EI assumed the hardest questions are the best use of time, when the unseen easy ones are worth the same each.

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