Finding Missing Values in a Table of Equivalent Ratios Online Quiz


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Questions and Answers
Q 1 - Find the missing values in the following table of equivalent ratios:

2 7
x 14
6 y
8 28

Answer : A

Explanation

Step 1:

From the given table of values

$\frac{x}{14} = \frac{2}{7}; x = \frac{2}{7} \times \frac{14}{1} = 4$

Step 2:

$\frac{y}{6} = \frac{7}{2}; y = \frac{7}{2} \times 6 = \frac{7}{2} \times \frac{6}{1} = 21$

Step 3:

So, $x = 4; y = 21$

Q 2 - Find the missing values in the following table of equivalent ratios:

4 9
8 18
12 x
y 36

Answer : C

Explanation

Step 1:

From the given table of values

$\frac{x}{12} = \frac{9}{4}; x = \frac{9}{4} \times 12 = \frac{9}{4} \times \frac{12}{1} = 27$

Step 2:

$\frac{y}{36} = \frac{4}{9}; y = \frac{4}{9} \times 36 = \frac{4}{9} \times \frac{36}{1} = 16$

Step 3:

So, $x = 27; y = 16$

Q 3 - Find the missing values in the following table of equivalent ratios:

3 10
6 x
9 30
y 40

Answer : B

Explanation

Step 1:

From the given table of values

$\frac{x}{6} = \frac{10}{3}; x = \frac{10}{3} \times 6 = \frac{10}{3} \times \frac{6}{1} = 20$

Step 2:

$\frac{y}{40} = \frac{3}{10}; y = \frac{3}{10} \times 40 = \frac{3}{10} \times \frac{40}{1} = 12$

Step 3:

So, $x = 20; y = 12$

Q 4 - Find the missing values in the following table of equivalent ratios:

2 9
4 x
6 27
y 36

Answer : D

Explanation

Step 1:

From the given table of values

$\frac{x}{4} = \frac{9}{2}; x = \frac{9}{2} \times 4 = \frac{9}{2} \times \frac{4}{1} = 18$

Step 2:

$\frac{y}{36} = \frac{2}{9}; y = \frac{2}{9} \times 36 = \frac{2}{9} \times \frac{36}{1} = 8$

Step 3:

So, $x = 18; y = 8$

Q 5 - Find the missing values in the following table of equivalent ratios:

3 7
6 14
x 21
12 y

Answer : A

Explanation

Step 1:

From the given table of values

$\frac{x}{21} = \frac{3}{7}; x = \frac{3}{7} \times \frac{21}{1} = \frac{3}{7} \times \frac{21}{1} = 9$

Step 2:

$\frac{y}{12} = \frac{7}{3}; y = \frac{7}{3} \times 12 = \frac{7}{3} \times \frac{12}{1} = 28$

Step 3:

So, $x = 9; y = 28$

Q 6 - Find the missing values in the following table of equivalent ratios:

5 7
x 14
15 y
20 28

Answer : D

Explanation

Step 1:

From the given table of values

$\frac{x}{14} = \frac{5}{7}; x = \frac{5}{7} \times 14 = \frac{5}{7} \times \frac{14}{1} = 10$

Step 2:

$\frac{y}{15} = \frac{7}{5}; y = \frac{7}{5} \times 15 = \frac{7}{5} \times \frac{15}{1} = 21$

Step 3:

So, $x = 10; y = 21$

Q 7 - Find the missing values in the following table of equivalent ratios:

2 3
4 6
6 x
y 12

Answer : B

Explanation

Step 1:

From the given table of values

$\frac{x}{6} = \frac{3}{2}; x = \frac{3}{2} \times \frac{6}{1} = \frac{3}{2} \times \frac{6}{1} = 9$

Step 2:

$\frac{y}{12} = \frac{2}{3}; y = \frac{2}{3} \times 12 = \frac{2}{3} \times \frac{12}{1} = 8$

Step 3:

So, $x = 9; y = 8$

Q 8 - Find the missing values in the following table of equivalent ratios:

4 5
x 10
12 y
16 20

Answer : C

Explanation

Step 1:

From the given table of values

$\frac{x}{10} = \frac{4}{5}; x = \frac{4}{5} \times 10 = \frac{4}{5} \times \frac{10}{1} = 8$

Step 2:

$\frac{y}{12} = \frac{5}{4}; y = \frac{5}{4} \times 12 = \frac{5}{4} \times \frac{12}{1} = 15$

Step 3:

So, $x = 8; y = 15$

Q 9 - Find the missing values in the following table of equivalent ratios:

2 5
4 10
6 x
y 20

Answer : C

Explanation

Step 1:

From the given table of values

$\frac{x}{6} = \frac{5}{2}; x = \frac{5}{2} \times 6 = \frac{5}{2} \times \frac{6}{1} = 15$

Step 2:

$\frac{y}{20} = \frac{2}{5}; y = \frac{2}{5} \times 20 = \frac{2}{5} \times \frac{20}{1} = 8$

Step 3:

So, $x = 15; y = 8$

Q 10 - Find the missing values in the following table of equivalent ratios:

4 7
x 14
12 y
16 28

Answer : A

Explanation

Step 1:

$\frac{x}{14} = \frac{4}{7}; x = \frac{4}{7} \times 14 = \frac{4}{7} \times \frac{14}{1} = 8$

Step 2:

$\frac{y}{12} = \frac{7}{4}; y = \frac{7}{4} \times 12 = \frac{7}{4} \times \frac{12}{1} = 21$

Step 3:

So, $x = 8; y = 21$

finding_missing_values_table_of_equivalent_ratios.htm
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