Scroll:Ratios and proportions >> Equivalent ratios >> mcq (4075)


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

25 and 820




(                    )




2)  

 Are these ratios equivalent

2 : 6 and 2 : 6




(                    )




3)  

 Are these ratios equivalent

25 and 514




(                    )




4)  

 Are these ratios equivalent

3 : 5 and 2 : 4




(                    )




5)  

 Are these ratios equivalent

25 and 615




(                    )




6)  

 Are these ratios equivalent

1 : 4 and 4 : 16




(                    )




7)  

 Are these ratios equivalent

14 and 211




(                    )




8)  

 Are these ratios equivalent

1 : 6 and 1 : 11




(                    )




9)  

 Are these ratios equivalent

37 and 1228




(                    )




10)  

 Are these ratios equivalent

3 : 5 and 3 : 5




(                    )




 

1)  

 Are these ratios equivalent

25 and 820



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



2)  

 Are these ratios equivalent

2 : 6 and 2 : 6



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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

25 and 514



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

25 and 514

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

2 x 14 = 5 x 5

         28 ⇔ 25

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

 



4)  

 Are these ratios equivalent

3 : 5 and 2 : 4



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 24

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

3 x 4 = 5 x 2

         12 ⇔ 10

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

 



5)  

 Are these ratios equivalent

25 and 615



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

25 and 615

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

2 x 15 = 5 x 6

         30 = 30

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

 



6)  

 Are these ratios equivalent

1 : 4 and 4 : 16



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

14 and 416

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

1 x 16 = 4 x 4

         16 = 16

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

 



7)  

 Are these ratios equivalent

14 and 211



Answer: 1


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

14 and 211

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

1 x 11 = 4 x 2

         11 ⇔ 8

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

 



8)  

 Are these ratios equivalent

1 : 6 and 1 : 11



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

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.

 



9)  

 Are these ratios equivalent

37 and 1228



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

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.

 



10)  

 Are these ratios equivalent

3 : 5 and 3 : 5



Answer: 2


SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

35 and 35

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

3 x 5 = 5 x 3

         15 = 15

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