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 : 7 hamburgers

8 hot dogs : 28 hamburgers




(                    )




2)  

 Are these ratios equivalent

 

3 bags of flour : 4 bags of sugar


12 bags of flour : 16 bags of sugar

 




(                    )




3)  

 Are these ratios equivalent

 

3C : 7 years


8C : 20 years

 




(                    )




4)  

 Are these ratios equivalent

1 paintings for every 6 photographs

3 paintings for every 23 photographs




(                    )




5)  

 Are these ratios equivalent

36 and 36




(                    )




6)  

 Are these ratios equivalent

35 and 59




(                    )




7)  

 Are these ratios equivalent

3 hot dogs : 4 hamburgers

6 hot dogs : 8 hamburgers




(                    )




8)  

 Are these ratios equivalent

 

1 bags of flour : 4 bags of sugar


1 bags of flour : 4 bags of sugar

 




(                    )




9)  

 Are these ratios equivalent

 

3O : 7 years


8O : 20 years

 




(                    )




10)  

 Are these ratios equivalent

2 paintings for every 7 photographs

3 paintings for every 13 photographs




(                    )




 

1)  

 Are these ratios equivalent

2 hot dogs : 7 hamburgers

8 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.

27 and 828

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

2 x 28 = 7 x 8

         56 = 56

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

 



2)  

 Are these ratios equivalent

 

3 bags of flour : 4 bags of sugar


12 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.

34 and 1216

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

3 x 16 = 4 x 12

         48 = 48

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

 



3)  

 Are these ratios equivalent

 

3D : 7 years


8D : 20 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 820

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

3 x 20 = 7 x 8

         60 ⇔ 56

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

 



4)  

 Are these ratios equivalent

1 paintings for every 6 photographs

3 paintings for every 23 photographs



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

16 and 323

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

1 x 23 = 6 x 3

         23 ⇔ 18

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

 



5)  

 Are these ratios equivalent

36 and 36



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

36 and 36

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

3 x 6 = 6 x 3

         18 = 18

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

 



6)  

 Are these ratios equivalent

35 and 59



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

35 and 59

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

3 x 9 = 5 x 5

         27 ⇔ 25

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

 



7)  

 Are these ratios equivalent

3 hot dogs : 4 hamburgers

6 hot dogs : 8 hamburgers



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

34 and 68

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

3 x 8 = 4 x 6

         24 = 24

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

 



8)  

 Are these ratios equivalent

 

1 bags of flour : 4 bags of sugar


1 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.

14 and 14

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

1 x 4 = 4 x 1

         4 = 4

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

 



9)  

 Are these ratios equivalent

 

3T : 7 years


8T : 20 years

 



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

37 and 820

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

3 x 20 = 7 x 8

         60 ⇔ 56

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

 



10)  

 Are these ratios equivalent

2 paintings for every 7 photographs

3 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.

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.