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Questions in Grade Middle-school

[Open]A jigsaw puzzle has 289 pieces, each piece is basically a square. How can it be arranged so that every row and column has the same number of pieces?

[Open]1. Reduce to a simpler form: a) \((5^{\frac{3}{2}} \times 125^{\frac{1}{2}} \times 5^{-\frac{4}{3}} \times 25^{\frac{1}{2}})\) b) \(\frac{81^{2\sqrt{2}} \times 3\sqrt{8}}{27^{5\sqrt{18}}}\) 2. Prove that the number \((1 + \sqrt{2})^2 + (1 - \sqrt{2})^2\) is a natural number. 3. Calculate: a) \(\log_{\frac{1}{3}} 2 - \log_{\frac{1}{2}} 18 + \log_{\frac{1}{3}} 3\) b) \(\log 1/2 + \log 2/3 + \ldots + \log 9/10\) (Note: These problems are intended for tenth-grade level.)

[Open]Explain why it is better not to use rhetorical questions in a research paper.

[Open]How is hydrogen bonding among water molecules related to the structure of the water molecule?

[Open]Sara opens a bank account with $200. The account accrues 2% interest compounded annually. How much money, to the nearest cent, will she have in her account at the end of 3 years? (Use the formula [tex]A = P(1 + \frac{r}{n})^{nt}[/tex], where [tex]P[/tex] is the initial amount of money, [tex]r[/tex] is the interest rate, [tex]t[/tex] is the number of years, and [tex]n[/tex] is the number of times the interest is compounded per year.)

[Open]Jayden, Maggy, and Ramon shared $49 in the ratio 2:5:7. How much more did Ramon get than Jayden?

[Open]Which are physical or human characteristics of place associated with early China? Choose all answers that are correct. A. the Sphinx B. geographic isolation C. planned cities D. Yellow and Yangtze rivers E. silkworms

[Open]What did Britain see its colonies as a source of?

[Open]Why did the Separatists come to North America? A. They hoped to find adventure. B. They hoped to find gold and return to Holland with riches. C. They wanted to stay English and practice their own religion. D. They wanted to separate themselves from everything English and start over.

[Open]1. Three fourths – seven tenths