Scroll:Ratios and proportions >> Do the ratios form a proportion? >> mcq (4083)


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

14 and 315




(                    )




2)  

 Are these ratios equivalent

26 and 26




(                    )




3)  

 Are these ratios equivalent

3 : 6 and 3 : 6




(                    )




4)  

 Are these ratios equivalent

3 : 4 and 8 : 11




(                    )




5)  

 Are these ratios equivalent

37 and 820




(                    )




6)  

 Are these ratios equivalent

27 and 828




(                    )




7)  

 Are these ratios equivalent

2 : 7 and 4 : 14




(                    )




8)  

 Are these ratios equivalent

3 : 6 and 5 : 11




(                    )




9)  

 Are these ratios equivalent

27 and 520




(                    )




10)  

 Are these ratios equivalent

24 and 24




(                    )




 

1)  

 Are these ratios equivalent

14 and 315



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

14 and 315

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

1 x 15 = 4 x 3

         15 ⇔ 12

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

 



2)  

 Are these ratios equivalent

26 and 26



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

26 and 26

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

2 x 6 = 6 x 2

         12 = 12

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

 



3)  

 Are these ratios equivalent

3 : 6 and 3 : 6



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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.

 



4)  

 Are these ratios equivalent

3 : 4 and 8 : 11



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

34 and 811

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

3 x 11 = 4 x 8

         33 ⇔ 32

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

 



5)  

 Are these ratios equivalent

37 and 820



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



6)  

 Are these ratios equivalent

27 and 828



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



7)  

 Are these ratios equivalent

2 : 7 and 4 : 14



Answer: 1


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.

 



8)  

 Are these ratios equivalent

3 : 6 and 5 : 11



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

36 and 511

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

3 x 11 = 6 x 5

         33 ⇔ 30

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

 



9)  

 Are these ratios equivalent

27 and 520



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



10)  

 Are these ratios equivalent

24 and 24



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

24 and 24

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

2 x 4 = 4 x 2

         8 = 8

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