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 : 6 and 2 : 12




(                    )




2)  

 Are these ratios equivalent

35 and 1119




(                    )




3)  

 Are these ratios equivalent

17 and 321




(                    )




4)  

 Are these ratios equivalent

2 : 4 and 1 : 3




(                    )




5)  

 Are these ratios equivalent

1 : 7 and 1 : 7




(                    )




6)  

 Are these ratios equivalent

37 and 820




(                    )




7)  

 Are these ratios equivalent

35 and 610




(                    )




8)  

 Are these ratios equivalent

3 : 7 and 5 : 13




(                    )




9)  

 Are these ratios equivalent

3 : 6 and 12 : 24




(                    )




10)  

 Are these ratios equivalent

15 and 04




(                    )




 

1)  

 Are these ratios equivalent

1 : 6 and 2 : 12



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

16 and 212

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

1 x 12 = 6 x 2

         12 = 12

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

 



2)  

 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.

 



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

2 : 4 and 1 : 3



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

24 and 13

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

2 x 3 = 4 x 1

         6 ⇔ 4

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

 



5)  

 Are these ratios equivalent

1 : 7 and 1 : 7



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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.

 



6)  

 Are these ratios equivalent

37 and 820



Answer: 1


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.

 



7)  

 Are these ratios equivalent

35 and 610



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

35 and 610

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

3 x 10 = 5 x 6

         30 = 30

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

 



8)  

 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.

 



9)  

 Are these ratios equivalent

3 : 6 and 12 : 24



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

36 and 1224

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

3 x 24 = 6 x 12

         72 = 72

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

 



10)  

 Are these ratios equivalent

15 and 04



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

15 and 04

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

1 x 4 = 5 x 0

         4 ⇔ 0

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