Worksheet generator

Pick what you want, print the page. The answer key comes with it, on its own sheet, and it tells you the mistake behind every wrong choice — not just which letter is right.

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Math Kangaroo practice

Name: ______________________Date: ____________1 questions · 5 points

1.The numbers 1 to 10 are written on a board. You repeatedly rub out any two of them and write down their positive difference instead, until a single number is left. What can be said about that final number?[5]
- AIt is always odd
- BIt is always even
- CIt can be either odd or even
- DIt is always zero
- EIt is always 1

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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.A — It is always oddKA-0167Parity arguments
- BI checked the parity of the count of numbers rather than of their sum.
- CI tried two examples, got different answers, and concluded nothing is forced.
- DI assumed differences must shrink all the way to nothing.
- EI found one sequence of moves ending at 1 and assumed every sequence must.

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