Scroll:Ratios and proportions >> Do the ratios form a proportion: word problems >> mcq (4085)


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 bags of flour : 6 bags of sugar


2 bags of flour : 12 bags of sugar

 




(                    )




2)  

 Are these ratios equivalent

3 hot dogs : 6 hamburgers

9 hot dogs : 18 hamburgers




(                    )




3)  

 Are these ratios equivalent

26 and 517




(                    )




4)  

 Are these ratios equivalent

 

2A : 5 years


7A : 19 years

 




(                    )




5)  

 Are these ratios equivalent

17 and 428




(                    )




6)  

 Are these ratios equivalent

2 paintings for every 6 photographs

5 paintings for every 17 photographs




(                    )




7)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


2 bags of flour : 14 bags of sugar

 




(                    )




8)  

 Are these ratios equivalent

1 hot dogs : 4 hamburgers

2 hot dogs : 8 hamburgers




(                    )




9)  

 Are these ratios equivalent

25 and 719




(                    )




10)  

 Are these ratios equivalent

 

3C : 6 years


11C : 23 years

 




(                    )




 

1)  

 Are these ratios equivalent

 

1 bags of flour : 6 bags of sugar


2 bags of flour : 12 bags of sugar

 



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.

 



2)  

 Are these ratios equivalent

3 hot dogs : 6 hamburgers

9 hot dogs : 18 hamburgers



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.

 



3)  

 Are these ratios equivalent

26 and 517



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

26 and 517

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

2 x 17 = 6 x 5

         34 ⇔ 30

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

 



4)  

 Are these ratios equivalent

 

2K : 5 years


7K : 19 years

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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

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

2 paintings for every 6 photographs

5 paintings for every 17 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 517

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

2 x 17 = 6 x 5

         34 ⇔ 30

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

 



7)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


2 bags of flour : 14 bags of sugar

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

17 and 214

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

1 x 14 = 7 x 2

         14 = 14

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

 



8)  

 Are these ratios equivalent

1 hot dogs : 4 hamburgers

2 hot dogs : 8 hamburgers



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

14 and 28

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

1 x 8 = 4 x 2

         8 = 8

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

 



9)  

 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.

 



10)  

 Are these ratios equivalent

 

3E : 6 years


11E : 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.