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

2 hot dogs : 5 hamburgers

2 hot dogs : 5 hamburgers




(                    )




2)  

 Are these ratios equivalent

16 and 424




(                    )




3)  

 Are these ratios equivalent

 

2Z : 7 years


5Z : 20 years

 




(                    )




4)  

 Are these ratios equivalent

16 and 111




(                    )




5)  

 Are these ratios equivalent

2 paintings for every 7 photographs

1 paintings for every 6 photographs




(                    )




6)  

 Are these ratios equivalent

 

3 bags of flour : 5 bags of sugar


12 bags of flour : 20 bags of sugar

 




(                    )




7)  

 Are these ratios equivalent

1 hot dogs : 7 hamburgers

3 hot dogs : 21 hamburgers




(                    )




8)  

 Are these ratios equivalent

26 and 824




(                    )




9)  

 Are these ratios equivalent

 

3H : 7 years


11H : 27 years

 




(                    )




10)  

 Are these ratios equivalent

17 and 220




(                    )




 

1)  

 Are these ratios equivalent

2 hot dogs : 5 hamburgers

2 hot dogs : 5 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

25 and 25

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

2 x 5 = 5 x 2

         10 = 10

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

 



2)  

 Are these ratios equivalent

16 and 424



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

16 and 424

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

1 x 24 = 6 x 4

         24 = 24

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

 



3)  

 Are these ratios equivalent

 

2D : 7 years


5D : 20 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

27 and 520

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

2 x 20 = 7 x 5

         40 ⇔ 35

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

 



4)  

 Are these ratios equivalent

16 and 111



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

16 and 111

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

1 x 11 = 6 x 1

         11 ⇔ 6

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

 



5)  

 Are these ratios equivalent

2 paintings for every 7 photographs

1 paintings for every 6 photographs



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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

 

3 bags of flour : 5 bags of sugar


12 bags of flour : 20 bags of sugar

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 1220

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

3 x 20 = 5 x 12

         60 = 60

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

 



7)  

 Are these ratios equivalent

1 hot dogs : 7 hamburgers

3 hot dogs : 21 hamburgers



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.

 



8)  

 Are these ratios equivalent

26 and 824



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

26 and 824

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

2 x 24 = 6 x 8

         48 = 48

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

 



9)  

 Are these ratios equivalent

 

3S : 7 years


11S : 27 years

 



Answer: 2


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.

 



10)  

 Are these ratios equivalent

17 and 220



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.