Sasi Math (Revised for 1024)

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.

Are these ratios equivalent

$\frac{3}{7}$ and $\frac{11}{27}$

1) no
2) yes

( )

Are these ratios equivalent

$\frac{2}{6}$ and $\frac{8}{24}$

1) no
2) yes

( )

Are these ratios equivalent

1 hot dogs : 6 hamburgers

3 hot dogs : 18 hamburgers

1) yes
2) no

( )

Are these ratios equivalent

1 bags of flour : 4 bags of sugar

3 bags of flour : 12 bags of sugar

1) no
2) yes

( )

Are these ratios equivalent

2 paintings for every 7 photographs

7 paintings for every 27 photographs

1) no
2) yes

( )

Are these ratios equivalent

3J : 6 years

11J : 23 years

1) no
2) yes

( )

Are these ratios equivalent

$\frac{2}{4}$ and $\frac{5}{11}$

1) yes
2) no

( )

Are these ratios equivalent

$\frac{1}{7}$ and $\frac{4}{28}$

1) no
2) yes

( )

Are these ratios equivalent

2 hot dogs : 7 hamburgers

1) yes
2) no

( )

10)

Are these ratios equivalent

3 bags of flour : 5 bags of sugar

1) yes
2) no

( )

Are these ratios equivalent

$\frac{3}{7}$ and $\frac{11}{27}$

1) yes
2) no

Answer: 2

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

$\frac{3}{7}$ and $\frac{11}{27}$

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.

Are these ratios equivalent

$\frac{2}{6}$ and $\frac{8}{24}$

1) yes
2) no

Answer: 1

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

$\frac{2}{6}$ and $\frac{8}{24}$

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.

Are these ratios equivalent

1 hot dogs : 6 hamburgers

3 hot dogs : 18 hamburgers

1) yes
2) no

Answer: 1

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

$\frac{1}{6}$ and $\frac{3}{18}$

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

1 x 18 = 6 x 3

18 = 18

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

Are these ratios equivalent

1 bags of flour : 4 bags of sugar

3 bags of flour : 12 bags of sugar

1) yes
2) no

Answer: 1

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

$\frac{1}{4}$ and $\frac{3}{12}$

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

1 x 12 = 4 x 3

12 = 12

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

Are these ratios equivalent

2 paintings for every 7 photographs

7 paintings for every 27 photographs

1) no
2) yes

Answer: 1

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

$\frac{2}{7}$ and $\frac{7}{27}$

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

2 x 27 = 7 x 7

54 ⇔ 49

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

Are these ratios equivalent

3T : 6 years

11T : 23 years

1) no
2) yes

Answer: 1

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

$\frac{3}{6}$ and $\frac{11}{23}$

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.

Are these ratios equivalent

$\frac{2}{4}$ and $\frac{5}{11}$

1) yes
2) no

Answer: 2

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

$\frac{2}{4}$ and $\frac{5}{11}$

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

2 x 11 = 4 x 5

22 ⇔ 20

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

Are these ratios equivalent

$\frac{1}{7}$ and $\frac{4}{28}$

1) yes
2) no

Answer: 1

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

$\frac{1}{7}$ and $\frac{4}{28}$

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

1 x 28 = 7 x 4

28 = 28

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

Are these ratios equivalent

2 hot dogs : 7 hamburgers

1) yes
2) no

Answer: 1

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

$\frac{2}{7}$ and $\frac{2}{7}$

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

2 x 7 = 7 x 2

14 = 14

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

10)

Are these ratios equivalent

3 bags of flour : 5 bags of sugar

1) yes
2) no

Answer: 1

SOLUTION 1 :

Remember:

Two ratios are equivalent if their cross products are equal.

Solve:

Write the ratios as fractions.

$\frac{3}{5}$ and $\frac{3}{5}$

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.