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IMAS 2015 — Middle Primary Grades 3–4 — Round 2 Question 4

IMAS · IMAS 2015 — Middle Primary Grades 3–4 — Round 2

Question 4

A beam balance has a 1 g token, a 4 g token and a 7 g token. Each token may be placed on the same pan as the object being weighed or on the other pan, or not at all. How many different positive integral weights can be measured exactly using this balance and the three tokens?

Question illustration
  1. 8
  2. 9
  3. 10
  4. 11
  5. 12