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

34 and 68




(                    )




2)  

 Are these ratios equivalent

2 : 6 and 7 : 23




(                    )




3)  

 Are these ratios equivalent

3 : 6 and 9 : 18




(                    )




4)  

 Are these ratios equivalent

14 and 03




(                    )




5)  

 Are these ratios equivalent

17 and 428




(                    )




6)  

 Are these ratios equivalent

3 : 5 and 11 : 19




(                    )




7)  

 Are these ratios equivalent

1 : 6 and 4 : 24




(                    )




8)  

 Are these ratios equivalent

25 and 514




(                    )




9)  

 Are these ratios equivalent

26 and 824




(                    )




10)  

 Are these ratios equivalent

1 : 4 and 1 : 7




(                    )




 

1)  

 Are these ratios equivalent

34 and 68



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

34 and 68

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

3 x 8 = 4 x 6

         24 = 24

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

 



2)  

 Are these ratios equivalent

2 : 6 and 7 : 23



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 723

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

2 x 23 = 6 x 7

         46 ⇔ 42

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

 



3)  

 Are these ratios equivalent

3 : 6 and 9 : 18



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

36 and 918

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

3 x 18 = 6 x 9

         54 = 54

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

 



4)  

 Are these ratios equivalent

14 and 03



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

14 and 03

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

1 x 3 = 4 x 0

         3 ⇔ 0

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

 



5)  

 Are these ratios equivalent

17 and 428



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

17 and 428

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

1 x 28 = 7 x 4

         28 = 28

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

 



6)  

 Are these ratios equivalent

3 : 5 and 11 : 19



Answer: 1


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.

 



7)  

 Are these ratios equivalent

1 : 6 and 4 : 24



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

16 and 424

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

1 x 24 = 6 x 4

         24 = 24

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

 



8)  

 Are these ratios equivalent

25 and 514



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

25 and 514

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

2 x 14 = 5 x 5

         28 ⇔ 25

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

 



9)  

 Are these ratios equivalent

26 and 824



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

26 and 824

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

2 x 24 = 6 x 8

         48 = 48

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

 



10)  

 Are these ratios equivalent

1 : 4 and 1 : 7



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

14 and 17

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

1 x 7 = 4 x 1

         7 ⇔ 4

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