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Grade 2 puzzle 11: Working backwards

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

Problem 11 · Working backwards · 3 points

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Rosa gave away 3 shells, then found 2 shells. She has 7 shells now. How many did she have at first?

Illustration for problem 11
  1. 9
  2. 6
  3. 5
  4. 8
  5. 12
Show a hint
  • Start with the shells Rosa has now. Work backward through the story, undoing each change to find how many she had at first.
  • Undo finding 2 shells first: 7 − 2 = 5. What must Rosa have had before she gave away 3 shells?
Show the answer and solution

Answer: D — 8

Before Rosa found 2 shells, she had 7 − 2 = 5 shells. Before she gave away 3 shells, she had 5 + 3 = 8 shells. So the answer is 8. The wrong answer 6 comes from starting with 7 and running the story forward: 7 − 3 + 2 = 6. But 7 is what Rosa has now, not what she had at first.

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