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

35 and 1119




(                    )




2)  

 Are these ratios equivalent

3 : 5 and 5 : 9




(                    )




3)  

 Are these ratios equivalent

3 : 7 and 9 : 21




(                    )




4)  

 Are these ratios equivalent

34 and 912




(                    )




5)  

 Are these ratios equivalent

35 and 24




(                    )




6)  

 Are these ratios equivalent

3 : 7 and 5 : 13




(                    )




7)  

 Are these ratios equivalent

2 : 6 and 4 : 12




(                    )




8)  

 Are these ratios equivalent

25 and 615




(                    )




9)  

 Are these ratios equivalent

35 and 814




(                    )




10)  

 Are these ratios equivalent

2 : 7 and 7 : 27




(                    )




 

1)  

 Are these ratios equivalent

35 and 1119



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



2)  

 Are these ratios equivalent

3 : 5 and 5 : 9



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 59

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

3 x 9 = 5 x 5

         27 ⇔ 25

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

 



3)  

 Are these ratios equivalent

3 : 7 and 9 : 21



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 921

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

3 x 21 = 7 x 9

         63 = 63

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

 



4)  

 Are these ratios equivalent

34 and 912



Answer: 1


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.

 



5)  

 Are these ratios equivalent

35 and 24



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

35 and 24

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

3 x 4 = 5 x 2

         12 ⇔ 10

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

 



6)  

 Are these ratios equivalent

3 : 7 and 5 : 13



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 513

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

3 x 13 = 7 x 5

         39 ⇔ 35

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

 



7)  

 Are these ratios equivalent

2 : 6 and 4 : 12



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 412

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

2 x 12 = 6 x 4

         24 = 24

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

 



8)  

 Are these ratios equivalent

25 and 615



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

25 and 615

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

2 x 15 = 5 x 6

         30 = 30

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

 



9)  

 Are these ratios equivalent

35 and 814



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



10)  

 Are these ratios equivalent

2 : 7 and 7 : 27



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

27 and 727

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

2 x 27 = 7 x 7

         54 ⇔ 49

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