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IMAS 2013 — Upper Primary Grades 5–6 — Round 1 Question 17

IMAS · IMAS 2013 — Upper Primary Grades 5–6 — Round 1

Question 17

We define $a\Theta b=\frac{a+b}{2}$. If $\frac34\Theta(\frac16\Theta\square)=\frac12$ , what number is represented by □ ?
  1. 3
  2. $\frac13$
  3. $\frac{13}{24}$
  4. 4
  5. $\frac14$