# Test: Arithmetic V - Challenging

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Question 1:   Calculate: $0.308:0.14+1.2$
$340$
$3.4$
$34$
$0.34$
Question 2:   Calculate: $6.85×3.2-1.7×6.85$
$102.75$
$10.275$
$1.0275$
$0.10275$
Question 3:   Find the arithmetic mean of the numbers $\frac{1}{4}$ and $5\frac{2}{7}$
$4$
$1\frac{43}{56}$
$5$
 $2\frac{43}{56}$
Question 4:   Calculate: ${\left(4-3\frac{1}{4}\right)}^{4}:{\left(\frac{3}{4}\right)}^{2}$
$1\frac{9}{16}$
$1$
$1\frac{3}{4}$
$\frac{9}{16}$
Question 5:   Simplify the expression: $7\sqrt{3}-\sqrt{12}+\sqrt{27}$
$5\sqrt{3}$
$8\sqrt{3}$
$\sqrt{3}$
 $2\sqrt{3}$
Question 6:   When a cyclist traveled $0.6$ of the way, there were still $60$ miles left to travel. How many miles the cyclist planned to travel?
$120miles$
$100miles$
$160miles$
$150miles$
Question 7:   Alloy of tin and lead contains$60%$ of tin. What is the weight of the alloy that contains $120$ grams of tin?
$2kg$
$180g$
$200g$
$150g$
Question 8:   Calculate: $3.2×{10}^{-2}+2.1×{10}^{-3}$
$3.41×{10}^{-2}$
$341×{10}^{-2}$
$34.1×{10}^{-2}$
$5.3×{10}^{-5}$
Question 9:   Calculate: $|-0.25×\frac{4}{7}|:\left(-40\right)+\frac{1}{40}$
$\frac{3}{140}$
$\frac{3}{14}$
$-\frac{3}{14}$
$-\frac{3}{140}$
Question 10:   Calculate: $\sqrt{6-4\sqrt{2}}+\sqrt{2}$
$-\sqrt{2}$
$-2$
$2$
$\sqrt{2}$