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Word problems (contest style)

Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.

Learn it Turn words into steps. Useful tools: "assume all are one kind" (chickens and cows), rates (distance = speed × time) and work rates (fraction done per hour).

Example: A pipe fills a tank in 4 h and another in 6 h. What fraction do they fill together in 1 hour?

  1. First pipe: $\frac{1}{4}$ per hour = $\frac{3}{12}$.
  2. Second pipe: $\frac{1}{6}$ per hour = $\frac{2}{12}$.
  3. Together: $\frac{5}{12}$ of the tank per hour.

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