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

 

3R : 5 years


11R : 19 years

 




(                    )




2)  

 Are these ratios equivalent

3 hot dogs : 7 hamburgers

6 hot dogs : 14 hamburgers




(                    )




3)  

 Are these ratios equivalent

 

2 bags of flour : 7 bags of sugar


6 bags of flour : 21 bags of sugar

 




(                    )




4)  

 Are these ratios equivalent

3 paintings for every 7 photographs

5 paintings for every 13 photographs




(                    )




5)  

 Are these ratios equivalent

27 and 16




(                    )




6)  

 Are these ratios equivalent

36 and 612




(                    )




7)  

 Are these ratios equivalent

 

3M : 6 years


11M : 23 years

 




(                    )




8)  

 Are these ratios equivalent

2 hot dogs : 6 hamburgers

4 hot dogs : 12 hamburgers




(                    )




9)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


3 bags of flour : 21 bags of sugar

 




(                    )




10)  

 Are these ratios equivalent

3 paintings for every 7 photographs

11 paintings for every 27 photographs




(                    )




 

1)  

 Are these ratios equivalent

 

3O : 5 years


11O : 19 years

 



Answer: 1


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.

 



2)  

 Are these ratios equivalent

3 hot dogs : 7 hamburgers

6 hot dogs : 14 hamburgers



Answer: 1


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.

 



3)  

 Are these ratios equivalent

 

2 bags of flour : 7 bags of sugar


6 bags of flour : 21 bags of sugar

 



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

27 and 621

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

2 x 21 = 7 x 6

         42 = 42

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

 



4)  

 Are these ratios equivalent

3 paintings for every 7 photographs

5 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.

37 and 513

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

3 x 13 = 7 x 5

         39 ⇔ 35

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

 



5)  

 Are these ratios equivalent

27 and 16



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

27 and 16

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

2 x 6 = 7 x 1

         12 ⇔ 7

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

 



6)  

 Are these ratios equivalent

36 and 612



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

36 and 612

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

3 x 12 = 6 x 6

         36 = 36

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

 



7)  

 Are these ratios equivalent

 

3U : 6 years


11U : 23 years

 



Answer: 2


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.

 



8)  

 Are these ratios equivalent

2 hot dogs : 6 hamburgers

4 hot dogs : 12 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

26 and 412

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

2 x 12 = 6 x 4

         24 = 24

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

 



9)  

 Are these ratios equivalent

 

1 bags of flour : 7 bags of sugar


3 bags of flour : 21 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 321

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

1 x 21 = 7 x 3

         21 = 21

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

 



10)  

 Are these ratios equivalent

3 paintings for every 7 photographs

11 paintings for every 27 photographs



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 1127

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

3 x 27 = 7 x 11

         81 ⇔ 77

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