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Grade 2 puzzle 8: Find the rate first

A free grade 2 math puzzle that teaches Find the rate first. Try it first — the hint and the full solution open when you are ready.

Problem 8 · Find the rate first · 5 points

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Three ducks lay 3 eggs in 3 days (laying evenly the whole time). How many eggs do 6 ducks lay in 6 days?

Illustration for problem 8
  1. 3
  2. 12
  3. 9
  4. 6
  5. 18
Show a hint
  • First: how many eggs do 3 ducks lay in ONE day?
  • Doubling the ducks doubles the eggs. Doubling the days doubles them again.
Show the answer and solution

Answer: B — 12

Three ducks lay 1 egg per day (3 eggs ÷ 3 days). Twice the ducks → 2 eggs per day. Over 6 days: 2 × 6 = 12 eggs. The trap answer "6" doubles only once. Reducing to a rate ("per day") first makes double-scaling problems easy — the same reasoning powers physics and SAT rate problems later.

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