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Math riddle about a farmer and sheep, presented on a graph paper background with equations and diagrams.

A farmer had 17 sheep. All but 9 of them ran away. How many sheep does she have left? surrounded by math equations and geometric shapes on graph paper.

A farmer had 17 sheep. All but 9 of them ran away. How many sheep does she have left? surrounded by math equations and geometric shapes on graph paper.

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Show Answer Key & Explanations Step-by-step solution for: 35 Clever Math Brain Teasers for Kids
This is a classic riddle that plays on language rather than requiring complex math.

Let’s break down the sentence: “A farmer had 17 sheep. All but 9 of them ran away. How many sheep does she have left?”

The key phrase is: “All but 9 of them ran away.”

- “All but 9” means everything except 9.
- So, if all *but* 9 ran away, that means 9 did NOT run away.
- Therefore, the 9 that didn’t run away are the ones she still has left.

> 🐑 Answer: 9 sheep

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Why it tricks people:


Many people instinctively think:
*“She had 17, some ran away — so subtract!”*
And they might do 17 – 9 = 8 — which is wrong in this context.

But the phrase “all but 9” doesn’t mean “9 ran away” — it means “everyone except 9 ran away,” so 9 remained.

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Final Answer: 9
Parent Tip: Review the logic above to help your child master the concept of science brain teasers worksheet.
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