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AMO · 2027 · Grades 4-5 · Self-study SET 33 Question 10

AMO

Question 10

In the pyramid below, each number is the sum of the two numbers immediately below it. For example, three 1s on the lowest layer give two 2s above, then one 4 above them. If a similar pyramid has five 1s on its lowest layer, what is the sum of the numbers on its topmost layer?

Question illustration

Choose one option.
  1. 9
  2. 15
  3. 12
  4. 16
  5. 24