# Test: Arithmetic IV - Challenging

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Question 1:   Calculate: $\frac{3}{7}:\frac{1}{4}$
$\frac{3}{28}$
$2\frac{4}{7}$ 
$\frac{5}{7}$
$1\frac{5}{7}$
Question 2:   Calculate: $7-4\frac{1}{8}$
$2\frac{1}{8}$
$1\frac{1}{8}$
$2\frac{7}{8}$
$3\frac{1}{8}$
Question 3:   Find the greatest common divisor of $\left(18,45\right)$
$3$
$6$
$5$
$9$
Question 4:   Find the least common multiple of $\left(18,45\right)$
$45$
$18$
$90$
$9$
Question 5:   Calculate: ${\left(\frac{2}{3}\right)}^{3}\left(7\frac{1}{2}-\frac{1}{6}\right)$
$\frac{1}{6}$
$2\frac{1}{6}$
$\frac{14}{81}$
$2\frac{14}{81}$
Question 6:   Find $\frac{4}{7}$ of $28$
$10$
$16$
$8$
$20$
Question 7:   Calculate:$|-3.2+{0.4}^{2}|$
$-30.4$
$-3.04$
$3.04$
$30.4$
Question 8:   Calculate: $0.3×100-16850:1000$
$13.15$
$1.315$
$-1.315$
$-13.15$
Question 9:   Simplify: $-9\sqrt{2}+\sqrt{8}+\sqrt{50}$
$9\sqrt{60}$
$-2\sqrt{2}$
$2\sqrt{2}$
$-9\sqrt{60}$
Question 10:   How much the area of a rectangle with the sides $12.5$ and $7.2$ centimeters is smaller than the area of a square with the sides $11.1$ centimeters?
$33.21c{m}^{2}$
$3.321c{m}^{2}$
$3.321{m}^{2}$
$33.21{m}^{2}$