Scroll:Ratios and proportions >> Equivalent ratios: word problems >> mcq (4078)


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 paintings for every 4 photographs

3 paintings for every 15 photographs




(                    )




2)  

 Are these ratios equivalent

 

2 bags of flour : 4 bags of sugar


4 bags of flour : 8 bags of sugar

 




(                    )




3)  

 Are these ratios equivalent

14 and 312




(                    )




4)  

 Are these ratios equivalent

3 hot dogs : 7 hamburgers

6 hot dogs : 14 hamburgers




(                    )




5)  

 Are these ratios equivalent

17 and 113




(                    )




6)  

 Are these ratios equivalent

 

3Z : 6 years


11Z : 23 years

 




(                    )




7)  

 Are these ratios equivalent

1 paintings for every 7 photographs

1 paintings for every 13 photographs




(                    )




8)  

 Are these ratios equivalent

 

3 bags of flour : 6 bags of sugar


3 bags of flour : 6 bags of sugar

 




(                    )




9)  

 Are these ratios equivalent

37 and 921




(                    )




10)  

 Are these ratios equivalent

2 hot dogs : 4 hamburgers

6 hot dogs : 12 hamburgers




(                    )




 

1)  

 Are these ratios equivalent

1 paintings for every 4 photographs

3 paintings for every 15 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

14 and 315

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

1 x 15 = 4 x 3

         15 ⇔ 12

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

 



2)  

 Are these ratios equivalent

 

2 bags of flour : 4 bags of sugar


4 bags of flour : 8 bags of sugar

 



Answer: 1


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.

 



3)  

 Are these ratios equivalent

14 and 312



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

14 and 312

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

1 x 12 = 4 x 3

         12 = 12

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

 



4)  

 Are these ratios equivalent

3 hot dogs : 7 hamburgers

6 hot dogs : 14 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 614

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

3 x 14 = 7 x 6

         42 = 42

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

 



5)  

 Are these ratios equivalent

17 and 113



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

17 and 113

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

1 x 13 = 7 x 1

         13 ⇔ 7

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

 



6)  

 Are these ratios equivalent

 

3G : 6 years


11G : 23 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

36 and 1123

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

3 x 23 = 6 x 11

         69 ⇔ 66

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

 



7)  

 Are these ratios equivalent

1 paintings for every 7 photographs

1 paintings for every 13 photographs



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

17 and 113

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

1 x 13 = 7 x 1

         13 ⇔ 7

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

 



8)  

 Are these ratios equivalent

 

3 bags of flour : 6 bags of sugar


3 bags of flour : 6 bags of sugar

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

36 and 36

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

3 x 6 = 6 x 3

         18 = 18

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

 



9)  

 Are these ratios equivalent

37 and 921



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

37 and 921

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

3 x 21 = 7 x 9

         63 = 63

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

 



10)  

 Are these ratios equivalent

2 hot dogs : 4 hamburgers

6 hot dogs : 12 hamburgers



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

24 and 612

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

2 x 12 = 4 x 6

         24 = 24

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