## 2015 Grade 9 MTAP Math Challenge – Division Orals

Below are the 2015 Grade 9 MTAP Math Challenge Division Oral Competition questions with answers.

15-second question (2 points each)

1.) Determine all positive number x that satisfy $5x^2 = 10x$.
2.) What is the fourth power of $\sqrt{2 + \sqrt{2}}$?
Answer: $6 + 4 \sqrt{2}$
3.) Simplify $4^{\frac{-k}{2}} + 8^ {- \frac{k-1}{3}}$
Answer: $\frac{3}{2}^k$
4.) If a ♠ b = $\sqrt{a^2+b^2}$, what is the value of (3 ♠ 4) ♠ 12?