# Test: Ratio - Challenging

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Question 1:   Find the unknown number $\frac{3}{8}=\frac{a}{24}$
$9$
$\frac{1}{24}$
$64$
$\frac{1}{9}$
Question 2:   Find $x$ if $8:x=12:3$
$2$
$\frac{1}{2}$
$1$
$4$
Question 3:   Find the $x$ term $\frac{1}{3}:5=x:15$
$\frac{1}{5}$
$1$
$\frac{1}{3}$
$3$
Question 4:   Find the $x$ term $\left(5x-6\right):12=2:3$
$0.28$
$\frac{5}{14}$
$28$
$2.8$
Question 5:   Find the $a$ term: $\frac{1.8}{7-a}=\frac{0.75}{30}$
$0.65$
$-65$
$\frac{1}{65}$
$65$
Question 6:   There are $50$ grams of salt in $2$ liters of a solution. How much salt is in $9$ liters of such solution?
$22.5g$
$225g$
$2.25g$
$2250g$
Question 7:   Find $x$ in the proportion $\frac{0.1x+6}{3.5}=\frac{4}{5}$
$-32$
$32$
$3.2$
$-3.2$
Question 8:   $12%$ of sugar is extracted from a sugar beet. How much beet is required to extract $16.8$ kilograms of sugar?
$140g$
$1400kg$
$140kg$
$1.4kg$
Question 9:   Express the number $36$ as a ratio of two numbers: $2$ and $4$ .
$10:26$
$18:18$
$12:24$
$30:6$
Question 10:   A distance between two cities is $120$ km. What is the distance between two cities on a map with a scale$1:2000000$ ?
$60cm$
$0.6cm$
$16cm$
$6cm$