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

2 : 7 and 8 : 28




(                    )




2)  

 Are these ratios equivalent

34 and 57




(                    )




3)  

 Are these ratios equivalent

15 and 210




(                    )




4)  

 Are these ratios equivalent

3 : 6 and 5 : 11




(                    )




5)  

 Are these ratios equivalent

1 : 7 and 1 : 7




(                    )




6)  

 Are these ratios equivalent

25 and 39




(                    )




7)  

 Are these ratios equivalent

37 and 1228




(                    )




8)  

 Are these ratios equivalent

2 : 7 and 7 : 27




(                    )




9)  

 Are these ratios equivalent

1 : 6 and 2 : 12




(                    )




10)  

 Are these ratios equivalent

25 and 514




(                    )




 

1)  

 Are these ratios equivalent

2 : 7 and 8 : 28



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

27 and 828

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

2 x 28 = 7 x 8

         56 = 56

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

 



2)  

 Are these ratios equivalent

34 and 57



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

34 and 57

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

3 x 7 = 4 x 5

         21 ⇔ 20

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

 



3)  

 Are these ratios equivalent

15 and 210



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

15 and 210

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

1 x 10 = 5 x 2

         10 = 10

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

 



4)  

 Are these ratios equivalent

3 : 6 and 5 : 11



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

36 and 511

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

3 x 11 = 6 x 5

         33 ⇔ 30

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

25 and 39



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

25 and 39

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

2 x 9 = 5 x 3

         18 ⇔ 15

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

 



7)  

 Are these ratios equivalent

37 and 1228



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



8)  

 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.

 



9)  

 Are these ratios equivalent

1 : 6 and 2 : 12



Answer: 2


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.

 



10)  

 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.