Scroll:Ratios and proportions >> Equivalent ratios >> mcq (4075)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Are these ratios equivalent

26 and 26




(                    )




2)  

 Are these ratios equivalent

37 and 820




(                    )




3)  

 Are these ratios equivalent

1 : 6 and 2 : 17




(                    )




4)  

 Are these ratios equivalent

1 : 4 and 3 : 12




(                    )




5)  

 Are these ratios equivalent

16 and 16




(                    )




6)  

 Are these ratios equivalent

36 and 817




(                    )




7)  

 Are these ratios equivalent

3 : 5 and 11 : 19




(                    )




8)  

 Are these ratios equivalent

3 : 5 and 12 : 20




(                    )




9)  

 Are these ratios equivalent

15 and 15




(                    )




10)  

 Are these ratios equivalent

36 and 25




(                    )




 

1)  

 Are these ratios equivalent

26 and 26



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

26 and 26

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

2 x 6 = 6 x 2

         12 = 12

The cross products are equal, so the ratios are equivalent.

 



2)  

 Are these ratios equivalent

37 and 820



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

37 and 820

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 20 = 7 x 8

         60 ⇔ 56

The cross products are not equal, so the ratios are not equivalent.

 



3)  

 Are these ratios equivalent

1 : 6 and 2 : 17



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

16 and 217

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

1 x 17 = 6 x 2

         17 ⇔ 12

The cross products are not equal, so the ratios are not equivalent.

 



4)  

 Are these ratios equivalent

1 : 4 and 3 : 12



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

14 and 312

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

1 x 12 = 4 x 3

         12 = 12

The cross products are equal, so the ratios are equivalent.

 



5)  

 Are these ratios equivalent

16 and 16



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

16 and 16

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

1 x 6 = 6 x 1

         6 = 6

The cross products are equal, so the ratios are equivalent.

 



6)  

 Are these ratios equivalent

36 and 817



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

36 and 817

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 17 = 6 x 8

         51 ⇔ 48

The cross products are not equal, so the ratios are not equivalent.

 



7)  

 Are these ratios equivalent

3 : 5 and 11 : 19



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 1119

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 19 = 5 x 11

         57 ⇔ 55

The cross products are not equal, so the ratios are not equivalent.

 



8)  

 Are these ratios equivalent

3 : 5 and 12 : 20



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 1220

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 20 = 5 x 12

         60 = 60

The cross products are equal, so the ratios are equivalent.

 



9)  

 Are these ratios equivalent

15 and 15



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

15 and 15

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

1 x 5 = 5 x 1

         5 = 5

The cross products are equal, so the ratios are equivalent.

 



10)  

 Are these ratios equivalent

36 and 25



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

36 and 25

Compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

3 x 5 = 6 x 2

         15 ⇔ 12

The cross products are not equal, so the ratios are not equivalent.