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IKMC 2017 — Grades 5–6 Question 28

IKMC · IKMC 2017 — Grades 5–6

Question 28

John wants to write a natural number in each box in the diagram such that each number above the bottom row is the sum of the two numbers immediately underneath. What is the largest number of odd numbers that John can write?

Question illustration

Editable row layout:

| Row | Boxes from left to right |
|---|---|
| Top | □ |
| Second | □, □ |
| Third | □, □, □ |
| Bottom | □, □, □, □ |
  1. 4
  2. 5
  3. 6
  4. 7
  5. 8