# Test: Decimals II - Challenging

Double click on maths expressions to zoom
Question 1:   Find the expansion of $0.\stackrel{·}{3}\stackrel{·}{4}\stackrel{·}{5}$ correct to $5$ significant figures
$0.3453$
$0.34535$
$0.34534$
$0.3454$
Question 2:   Convert $\frac{17}{16}$ to decimal form
$1.01$
$1.08$
$1.0125$
$1.0625$
Question 3:   Convert $0.40625$ to fractional form
$\frac{5}{16}$
$\frac{19}{64}$
$\frac{17}{128}$
$\frac{13}{32}$
Question 4:   Convert $0.1\stackrel{·}{6}$ to fractional form
$\frac{1}{7}$
$\frac{1}{6}$
$\frac{16}{100}$
$\frac{1}{3}$
Question 5:   Which set of numbers consists of the rational number?
$0,0.1\stackrel{·}{6},{\left(\sqrt{5}\right)}^{2}$
$0.8\stackrel{·}{3},-3,\frac{\pi }{2}$
$-5.5,{\pi }^{2},4$
$\sqrt{6},12,0.\stackrel{·}{1}$
Question 6:   Solve: ${\left(0.01\right)}^{2}\cdot {10}^{6}$
$1000$
$10000$
$100$
$10$
Question 7:   Solve: $10\cdot {10}^{-5}$
${10}^{-3}$
${10}^{-2}$
$\frac{1}{10}$
${10}^{-4}$
Question 8:   Find reciprocal of $-\frac{1}{25}$
$5$
$25$
$-25$
$-5$
Question 9:   Find reciprocal of $0.625$
$1\frac{1}{5}$
$\frac{5}{6}$
$1\frac{3}{5}$
$-1\frac{2}{5}$
Question 10:   Find reciprocal of $0.8\stackrel{·}{3}$
$\frac{3}{8}$
$2\frac{2}{3}$
$1\frac{1}{5}$
$\frac{5}{6}$