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

35 and 1220




(                    )




2)  

 Are these ratios equivalent

2 : 6 and 4 : 12




(                    )




3)  

 Are these ratios equivalent

3 : 4 and 2 : 3




(                    )




4)  

 Are these ratios equivalent

25 and 719




(                    )




5)  

 Are these ratios equivalent

34 and 34




(                    )




6)  

 Are these ratios equivalent

2 : 6 and 2 : 6




(                    )




7)  

 Are these ratios equivalent

2 : 7 and 3 : 13




(                    )




8)  

 Are these ratios equivalent

15 and 04




(                    )




9)  

 Are these ratios equivalent

24 and 816




(                    )




10)  

 Are these ratios equivalent

3 : 7 and 12 : 28




(                    )




 

1)  

 Are these ratios equivalent

35 and 1220



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

35 and 1220

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

3 x 20 = 5 x 12

         60 = 60

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

 



2)  

 Are these ratios equivalent

2 : 6 and 4 : 12



Answer: 1


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.

 



3)  

 Are these ratios equivalent

3 : 4 and 2 : 3



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

34 and 23

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

3 x 3 = 4 x 2

         9 ⇔ 8

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

 



4)  

 Are these ratios equivalent

25 and 719



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

25 and 719

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

2 x 19 = 5 x 7

         38 ⇔ 35

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

 



5)  

 Are these ratios equivalent

34 and 34



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

34 and 34

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

3 x 4 = 4 x 3

         12 = 12

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

 



6)  

 Are these ratios equivalent

2 : 6 and 2 : 6



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 26

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

2 x 6 = 6 x 2

         12 = 12

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

 



7)  

 Are these ratios equivalent

2 : 7 and 3 : 13



Answer: 2


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.

 



8)  

 Are these ratios equivalent

15 and 04



Answer: 1


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.

 



9)  

 Are these ratios equivalent

24 and 816



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

24 and 816

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

2 x 16 = 4 x 8

         32 = 32

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

 



10)  

 Are these ratios equivalent

3 : 7 and 12 : 28



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 1228

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

3 x 28 = 7 x 12

         84 = 84

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