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

3 : 5 and 3 : 5




(                    )




2)  

 Are these ratios equivalent

3 : 5 and 8 : 14




(                    )




3)  

 Are these ratios equivalent

25 and 14




(                    )




4)  

 Are these ratios equivalent

34 and 1216




(                    )




5)  

 Are these ratios equivalent

2 : 5 and 8 : 20




(                    )




6)  

 Are these ratios equivalent

2 : 5 and 1 : 4




(                    )




7)  

 Are these ratios equivalent

26 and 15




(                    )




8)  

 Are these ratios equivalent

34 and 912




(                    )




9)  

 Are these ratios equivalent

1 : 6 and 3 : 18




(                    )




10)  

 Are these ratios equivalent

2 : 7 and 3 : 13




(                    )




 

1)  

 Are these ratios equivalent

3 : 5 and 3 : 5



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 35

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

3 x 5 = 5 x 3

         15 = 15

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

 



2)  

 Are these ratios equivalent

3 : 5 and 8 : 14



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 814

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

3 x 14 = 5 x 8

         42 ⇔ 40

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

 



3)  

 Are these ratios equivalent

25 and 14



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

25 and 14

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

2 x 4 = 5 x 1

         8 ⇔ 5

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

 



4)  

 Are these ratios equivalent

34 and 1216



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

34 and 1216

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

3 x 16 = 4 x 12

         48 = 48

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

 



5)  

 Are these ratios equivalent

2 : 5 and 8 : 20



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

25 and 820

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

2 x 20 = 5 x 8

         40 = 40

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

 



6)  

 Are these ratios equivalent

2 : 5 and 1 : 4



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

25 and 14

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

2 x 4 = 5 x 1

         8 ⇔ 5

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

 



7)  

 Are these ratios equivalent

26 and 15



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

26 and 15

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

2 x 5 = 6 x 1

         10 ⇔ 6

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

 



8)  

 Are these ratios equivalent

34 and 912



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

34 and 912

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

3 x 12 = 4 x 9

         36 = 36

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

 



9)  

 Are these ratios equivalent

1 : 6 and 3 : 18



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

16 and 318

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

1 x 18 = 6 x 3

         18 = 18

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

 



10)  

 Are these ratios equivalent

2 : 7 and 3 : 13



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

27 and 313

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

2 x 13 = 7 x 3

         26 ⇔ 21

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