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

35 and 1119




(                    )




2)  

 Are these ratios equivalent

 

2G : 6 years


3G : 11 years

 




(                    )




3)  

 Are these ratios equivalent

 

3 bags of flour : 4 bags of sugar


3 bags of flour : 4 bags of sugar

 




(                    )




4)  

 Are these ratios equivalent

2 hot dogs : 5 hamburgers

8 hot dogs : 20 hamburgers




(                    )




5)  

 Are these ratios equivalent

34 and 34




(                    )




6)  

 Are these ratios equivalent

2 paintings for every 6 photographs

1 paintings for every 5 photographs




(                    )




7)  

 Are these ratios equivalent

27 and 313




(                    )




8)  

 Are these ratios equivalent

 

2Q : 5 years


3Q : 9 years

 




(                    )




9)  

 Are these ratios equivalent

 

2 bags of flour : 4 bags of sugar


8 bags of flour : 16 bags of sugar

 




(                    )




10)  

 Are these ratios equivalent

3 hot dogs : 7 hamburgers

12 hot dogs : 28 hamburgers




(                    )




 

1)  

 Are these ratios equivalent

35 and 1119



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



2)  

 Are these ratios equivalent

 

2O : 6 years


3O : 11 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 311

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

2 x 11 = 6 x 3

         22 ⇔ 18

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

 



3)  

 Are these ratios equivalent

 

3 bags of flour : 4 bags of sugar


3 bags of flour : 4 bags of sugar

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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.

 



4)  

 Are these ratios equivalent

2 hot dogs : 5 hamburgers

8 hot dogs : 20 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

25 and 820

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

2 x 20 = 5 x 8

         40 = 40

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

 



5)  

 Are these ratios equivalent

34 and 34



Answer: 2


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 paintings for every 6 photographs

1 paintings for every 5 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 15

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

2 x 5 = 6 x 1

         10 ⇔ 6

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

 



7)  

 Are these ratios equivalent

27 and 313



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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

 

2J : 5 years


3J : 9 years

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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.

 



9)  

 Are these ratios equivalent

 

2 bags of flour : 4 bags of sugar


8 bags of flour : 16 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 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 hot dogs : 7 hamburgers

12 hot dogs : 28 hamburgers



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.