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

15 and 315




(                    )




2)  

 Are these ratios equivalent

1 paintings for every 7 photographs

2 paintings for every 20 photographs




(                    )




3)  

 Are these ratios equivalent

 

2B : 6 years


5B : 17 years

 




(                    )




4)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


2 bags of flour : 14 bags of sugar

 




(                    )




5)  

 Are these ratios equivalent

2 hot dogs : 7 hamburgers

4 hot dogs : 14 hamburgers




(                    )




6)  

 Are these ratios equivalent

35 and 814




(                    )




7)  

 Are these ratios equivalent

16 and 16




(                    )




8)  

 Are these ratios equivalent

3 paintings for every 4 photographs

11 paintings for every 15 photographs




(                    )




9)  

 Are these ratios equivalent

 

3N : 5 years


11N : 19 years

 




(                    )




10)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


1 bags of flour : 7 bags of sugar

 




(                    )




 

1)  

 Are these ratios equivalent

15 and 315



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

15 and 315

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

1 x 15 = 5 x 3

         15 = 15

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

 



2)  

 Are these ratios equivalent

1 paintings for every 7 photographs

2 paintings for every 20 photographs



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

17 and 220

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

1 x 20 = 7 x 2

         20 ⇔ 14

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

 



3)  

 Are these ratios equivalent

 

2Y : 6 years


5Y : 17 years

 



Answer: 1


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.

 



4)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


2 bags of flour : 14 bags of sugar

 



Answer: 2


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.

 



5)  

 Are these ratios equivalent

2 hot dogs : 7 hamburgers

4 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.

27 and 414

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

2 x 14 = 7 x 4

         28 = 28

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

 



6)  

 Are these ratios equivalent

35 and 814



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

35 and 814

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

3 x 14 = 5 x 8

         42 ⇔ 40

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

 



7)  

 Are these ratios equivalent

16 and 16



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

16 and 16

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

1 x 6 = 6 x 1

         6 = 6

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

 



8)  

 Are these ratios equivalent

3 paintings for every 4 photographs

11 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.

34 and 1115

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

3 x 15 = 4 x 11

         45 ⇔ 44

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

 



9)  

 Are these ratios equivalent

 

3R : 5 years


11R : 19 years

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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.

 



10)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


1 bags of flour : 7 bags of sugar

 



Answer: 2


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.