Scroll:Ratios and proportions >> Do the ratios form a proportion? >> mcq (4083)


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

1 : 4 and 2 : 11




(                    )




2)  

 Are these ratios equivalent

1 : 4 and 1 : 4




(                    )




3)  

 Are these ratios equivalent

17 and 321




(                    )




4)  

 Are these ratios equivalent

17 and 220




(                    )




5)  

 Are these ratios equivalent

3 : 5 and 11 : 19




(                    )




6)  

 Are these ratios equivalent

2 : 6 and 4 : 12




(                    )




7)  

 Are these ratios equivalent

17 and 17




(                    )




8)  

 Are these ratios equivalent

35 and 1119




(                    )




9)  

 Are these ratios equivalent

1 : 7 and 2 : 20




(                    )




10)  

 Are these ratios equivalent

2 : 4 and 4 : 8




(                    )




 

1)  

 Are these ratios equivalent

1 : 4 and 2 : 11



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

14 and 211

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

1 x 11 = 4 x 2

         11 ⇔ 8

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

 



2)  

 Are these ratios equivalent

1 : 4 and 1 : 4



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

14 and 14

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

1 x 4 = 4 x 1

         4 = 4

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

 



3)  

 Are these ratios equivalent

17 and 321



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

17 and 321

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

1 x 21 = 7 x 3

         21 = 21

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

 



4)  

 Are these ratios equivalent

17 and 220



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

17 and 220

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

1 x 20 = 7 x 2

         20 ⇔ 14

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

 



5)  

 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.

 



6)  

 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.

 



7)  

 Are these ratios equivalent

17 and 17



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

17 and 17

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

1 x 7 = 7 x 1

         7 = 7

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

 



8)  

 Are these ratios equivalent

35 and 1119



Answer: 1


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.

 



9)  

 Are these ratios equivalent

1 : 7 and 2 : 20



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

17 and 220

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

1 x 20 = 7 x 2

         20 ⇔ 14

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

 



10)  

 Are these ratios equivalent

2 : 4 and 4 : 8



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

24 and 48

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

2 x 8 = 4 x 4

         16 = 16

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