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2025 G6 SARAH Understanding Ratios in Real-World Situations

Total questions: 100

Worksheet time: 50mins

Name
Class
Date
1.

What is the main purpose of using ratios in real-world situations as described in the text?

a)

To compare lengths, areas, and temperatures only.

b)

To describe relationships between two quantities and compare them in real-world situations.

c)

To solve complex mathematical equations.

d)

To avoid using math in everyday life.

2.

Which of the following is an example of how ratios can be used in everyday life, as mentioned in the text?

a)

Comparing the price, taste, or color of items.

b)

Measuring the speed of a car.

c)

Calculating the area of a triangle.

d)

Solving algebraic equations.

3.

What question is posed in the text about ratios and fairness?

a)

How can ratios help us solve math problems?

b)

How can ratios help us consider issues of fairness?

c)

How can ratios help us measure distances?

d)

How can ratios help us understand science?

4.

What does the text suggest ratios can help achieve in recipes?

a)

The same taste, texture, or color every time.

b)

A faster cooking time.

c)

A larger quantity of food.

d)

A more complex recipe.

5.

What is the relationship between the number of mushrooms and the number of pizzas in the given example?

a)

4 mushrooms for 2 pizzas

b)

4 mushrooms for 1 pizza

c)

12 mushrooms for 1 pizza

d)

8 mushrooms for 3 pizzas

6.

If you need 10 ounces of cheese for 2 pizzas, how much cheese would you need for 8 pizzas?

a)

20 ounces

b)

30 ounces

c)

40 ounces

d)

50 ounces

7.

If you bake one pizza at 800°F, how many pizzas can you bake at the same temperature without changing it?

a)

1 pizza

b)

2 pizzas

c)

3 pizzas

d)

4 pizzas

8.

How many slices of pepperoni are needed for 8 pizzas if 18 slices are required for 2 pizzas?

a)

36 slices

b)

54 slices

c)

72 slices

d)

90 slices

9.

If Jaleel orders twice as many pizzas, will the cost of the pizzas double? What about the delivery fee?

a)

Yes, both the cost of pizzas and delivery fee will double.

b)

No, the cost of pizzas will double, but the delivery fee may not.

c)

No, neither the cost of pizzas nor the delivery fee will double.

d)

Yes, only the delivery fee will double.

10.

What is a ratio?

a)

A comparison between two quantities.

b)

A type of fraction.

c)

A mathematical operation like addition.

d)

A number that represents area.

11.

How can the ratio of circles to squares be written based on the diagram in the "Summary" section?

a)

3:6

b)

6:3

c)

2:1

d)

1:2

12.

If there are 6 squares and 3 circles, how many squares are there for every circle?

a)

2

b)

3

c)

1

d)

6

13.

Which of the following statements correctly describes the ratio of squares to circles in the "Summary" diagram?

a)

The ratio of squares to circles is 6:3.

b)

The ratio of squares to circles is 3:6.

c)

The ratio of squares to circles is 1:2.

d)

The ratio of squares to circles is 2:1.

14.

Which of the following is NOT a correct way to describe the ratio of circles to squares in the "Summary" diagram?

a)

The ratio of circles to squares is 3 to 6.

b)

There are 2 times as many squares as there are circles.

c)

For every 1 circle, there are 2 squares.

d)

The ratio of circles to squares is 6 to 3.

15.

What is the ratio of cups of water to cups of rice in the original recipe?

a)

3 to 2

b)

1 to 1

c)

6 to 4

d)

9 to 6

16.

If the original recipe is halved, what is the new ratio of cups of water to cups of rice?

a)

3 to 2

b)

1.5 to 1

c)

6 to 4

d)

9 to 6

17.

What does it mean for ratios to be equivalent?

a)

They represent the same relationship between quantities.

b)

They are always expressed as whole numbers.

c)

They cannot be multiplied or divided.

d)

They must always involve the same units.

18.

Adriana is making rice and peas for 8 people. If the recipe for 4 people uses 14 ounces of coconut milk, how much coconut milk does she need for 8 people?

a)

14 ounces

b)

18 ounces

c)

28 ounces

d)

21 ounces

19.

Which of the following is an example of an equivalent ratio to 3:2?

a)

6:4

b)

9:6

c)

1.5:1

d)

All of the above

20.

What is the ratio of oranges to mangoes shown on the balance scale in the image?

a)

14:8

b)

7:4

c)

21:12

d)

8:14

21.

How can you create an equivalent ratio of 7:4 from the ratio 14:8?

a)

Divide both numbers by 2.

b)

Multiply both numbers by 2.

c)

Add 2 to both numbers.

d)

Subtract 2 from both numbers.

22.

Which of the following is an equivalent ratio to 14:8?

a)

7:4

b)

21:12

c)

Both A and B

d)

None of the above

23.

What is the purpose of using a table to represent equivalent ratios?

a)

To organize and keep track of equivalent values.

b)

To make the numbers larger.

c)

To compare unrelated quantities.

d)

To create new ratios randomly.

24.

If the ratio of limes to lychees is 2:5, which of the following is NOT an equivalent ratio?

a)

4:10

b)

6:15

c)

1:4

d)

12:30

25.

What is a double number line used for?

a)

To represent equivalent ratios

b)

To measure the weight of objects

c)

To calculate the area of a rectangle

d)

To compare fractions

26.

If the ratio of 3 rambutans to 5 strawberries balances on a scale, how many strawberries will balance with 9 rambutans?

a)

15

b)

10

c)

12

d)

18

27.

In the example of a double number line, what is the equivalent ratio to 3:5 when there are 15 strawberries?

a)

9:15

b)

6:10

c)

12:20

d)

18:25

28.

How do you create a double number line for the ratio 3:5?

a)

Start with 3 and 5 on the same location and count up by units of 3 and 5

b)

Start with 3 and 5 on opposite ends and count down by units of 3 and 5

c)

Start with 0 and count up by units of 1

d)

Start with 5 and count up by units of 2

29.

How many dragon fruits will balance with 12 pomegranates if the ratio is 4:3?

a)

16

b)

12

c)

20

d)

18

30.

What does the word "per" mean in the context of spending money?

a)

Together

b)

For each

c)

Total cost

d)

Discounted price

31.

If 3 bottles of juice cost $7.50, what is the price per bottle?

a)

$3.00

b)

$2.50

c)

$1.50

d)

$5.00

32.

If the price per bottle of juice is $2.50, how much would 8 bottles cost?

a)

$15

b)

$18

c)

$20

d)

$25

33.

Adah is shopping at the corner store. Four bottles of water cost $6. How much does one bottle cost?

a)

$1.50

b)

$2.00

c)

$1.00

d)

$3.00

34.

It costs $15 to buy 12 donuts. How much would 8 donuts cost?

a)

$10

b)

$12

c)

$8

d)

$9

35.

What is a common multiple of two numbers?

a)

A number that is a factor of both numbers.

b)

A number that is a multiple of both numbers.

c)

A number that is smaller than both numbers.

d)

A number that is larger than both numbers.

36.

What is the least common multiple (LCM) of 2 and 3?

a)

12

b)

18

c)

6

d)

9

37.

What does the least common multiple (LCM) represent?

a)

The largest number that is a factor of two numbers.

b)

The smallest number that is a common multiple of two numbers.

c)

The sum of two numbers.

d)

The difference between two numbers.

38.

If Train A stops at a station every 2 hours and Train B stops at the station every 3 hours, how often will both trains stop at the station at the same time?

a)

Every 5 hours

b)

Every 6 hours

c)

Every 4 hours

d)

Every 3 hours

39.

Which of the following is a common multiple of 2 and 3?

a)

4

b)

6

c)

7

d)

9

40.

What is the least common multiple (LCM) of 9 and 12?

a)

18

b)

36

c)

27

d)

45

41.

What is the definition of a factor of a number?

a)

A number that divides evenly into another number with no remainder.

b)

A number that is always greater than the given number.

c)

A number that is a multiple of another number.

d)

A number that is always odd.

42.

What is a common factor of two numbers?

a)

A number that is a factor of only one of the numbers.

b)

A number that is a factor of both numbers.

c)

A number that is the product of the two numbers.

d)

A number that is greater than both numbers.

43.

What is the greatest common factor (GCF) of 8 and 12?

a)

1

b)

2

c)

4

d)

8

44.

Which of the following is NOT a factor of 8?

a)

1

b)

3

c)

4

d)

8

45.

What does the greatest common factor (GCF) represent?

a)

The smallest number that is a factor of two numbers.

b)

The largest number that is a common factor of two numbers.

c)

The product of all factors of two numbers.

d)

The sum of all factors of two numbers.

46.

What is the LCM (Least Common Multiple) for the number of ounces of black paint in Ratio A and Ratio B?

a)

15

b)

35

c)

25

d)

45

47.

In Strategy 1, what is the total amount of black paint and white paint in Ratio A after multiplying to have the same amount of black paint as Ratio B?

a)

35 ounces of black paint and 21 gallons of white paint

b)

35 ounces of black paint and 20 gallons of white paint

c)

7 ounces of black paint and 4 gallons of white paint

d)

5 ounces of black paint and 3 gallons of white paint

48.

According to Strategy 2, how many ounces of black paint does Ratio A have per gallon of white paint?

a)

1 ounce

b)

1 1/2 ounces

c)

2 ounces

d)

1/4 ounce

49.

Which ratio has less black paint per gallon of white paint, making it a lighter shade of gray?

a)

Ratio A

b)

Ratio B

c)

Both ratios are the same

d)

Cannot be determined

50.

Mayra used a ratio of 4 ounces of teal to 2 gallons of white, while Juan used a ratio of 6 ounces of teal to 4 gallons of white. Which ratio made a darker teal?

a)

Mayra's ratio

b)

Juan's ratio

c)

Both ratios are equally dark

d)

Cannot be determined

51.

What is the recommended amount of carnitas (in pounds) for a 50-person taco party?

a)

5 pounds

b)

10 pounds

c)

15 pounds

d)

20 pounds

52.

If 200 people are attending a taco party, how many tortillas are needed based on the given ratio table?

a)

250 tortillas

b)

375 tortillas

c)

500 tortillas

d)

625 tortillas

53.

How many cups of pinto beans are recommended for 10 people at a taco party?

a)

1 cup

b)

2 cups

c)

3 cups

d)

4 cups

54.

What is the ratio of people to lemonade (in quarts) for the Metropolis Middle School dance?

a)

10:1

b)

10:2

c)

10:3

d)

10:4

55.

If 75 people are attending the 8th-grade dance, how many cookies should be prepared based on the given ratio?

a)

90 cookies

b)

120 cookies

c)

180 cookies

d)

225 cookies

56.

What is one strategy to determine missing values in equivalent ratios?

a)

Divide both quantities by 2.

b)

Determine a new ratio where one of the quantities is equal to 1.

c)

Multiply both quantities by 10.

d)

Subtract the smaller quantity from the larger one.

57.

If 6 balloons can make 3 marbles float, how many balloons are needed to make 8 marbles float?

a)

8 balloons

b)

16 balloons

c)

6 balloons

d)

12 balloons

58.

If 6 balloons can make 3 marbles float, how many marbles can 4 balloons make float?

a)

2 marbles

b)

4 marbles

c)

1 marble

d)

3 marbles

59.

Zwena is buying apples to bake a pie. If 4 apples weigh 16 ounces, how many apples does she need to buy for a recipe that uses 40 ounces of apples?

a)

8 apples

b)

10 apples

c)

12 apples

d)

6 apples

60.

What is the delivery rate of the Metropolis Delivery Service in terms of deliveries per hour?

a)

7.5 deliveries per hour

b)

15 deliveries per hour

c)

10 deliveries per hour

d)

5 deliveries per hour

61.

How long does it take the Metropolis Delivery Service to make 100 deliveries, according to the ratio table?

a)

12 hours

b)

13 hours and 20 minutes

c)

14 hours

d)

15 hours

62.

If the Metropolis Delivery Service rounds the time to make 100 deliveries, what is the approximate time they might report?

a)

12 hours

b)

13 hours

c)

13.5 or 14 hours

d)

15 hours

63.

How far does the train travel in 12 minutes if it travels 45 miles in 60 minutes?

a)

9 miles

b)

12 miles

c)

15 miles

d)

18 miles

64.

If Cho’s stop is 120 miles away and the train travels 45 miles in 60 minutes, how long will it take the train to reach their stop?

a)

2 hours

b)

2 hours and 30 minutes

c)

2 hours and 40 minutes

d)

3 hours

65.

What is a tape diagram used to represent?

a)

Relationships between quantities, such as ratios

b)

The total number of items in a group

c)

The difference between two numbers

d)

The area of a rectangle

66.

If 2 cups of yellow paint are mixed with 4 cups of blue paint, how many cups of green paint are created?

a)

4 cups

b)

6 cups

c)

8 cups

d)

10 cups

67.

In the tape diagram where each part represents 3 cups of paint, how many cups of yellow paint are there?

a)

3 cups

b)

6 cups

c)

9 cups

d)

12 cups

68.

DeShawn needs 40 cups of orange paint. If the ratio of yellow paint to red paint is 3:5, how many cups of yellow paint does he need?

a)

15 cups

b)

20 cups

c)

12 cups

d)

10 cups

69.

DeShawn needs 40 cups of orange paint. If the ratio of yellow paint to red paint is 3:5, how many cups of red paint does he need?

a)

15 cups

b)

20 cups

c)

25 cups

d)

30 cups

70.

What is the ratio of green space to building space in Metropolis' new neighborhood development requirements?

a)

2:5

b)

5:2

c)

3:4

d)

4:3

71.

If a new development has 35 total units of land, how many units of building space will it have according to the ratio of green space to building space?

a)

10

b)

25

c)

15

d)

20

72.

How many units of green space are there for every 7 total units of land in the ratio table?

a)

5

b)

2

c)

3

d)

4

73.

Tyrone makes milk coffee by mixing 4 parts coffee and 3 parts sweetened condensed milk. If he needs 21 ounces of milk coffee, how many ounces of coffee will he need?

a)

12 ounces

b)

9 ounces

c)

15 ounces

d)

10 ounces

74.

Tyrone makes milk coffee by mixing 4 parts coffee and 3 parts sweetened condensed milk. If he needs 21 ounces of milk coffee, how many ounces of sweetened condensed milk will he need?

a)

9 ounces

b)

12 ounces

c)

10 ounces

d)

8 ounces

75.

How much trash would Maria's family throw out in a year (365 days) based on the experiment?

a)

657 pounds

b)

365 pounds

c)

730 pounds

d)

500 pounds

76.

What is the amount of plastic waste Maria's family would generate in a year?

a)

219 pounds

b)

292 pounds

c)

146 pounds

d)

365 pounds

77.

What fraction of the total yearly trash is food waste?

a)

4/9

b)

3/9

c)

2/9

d)

5/9

78.

If Maria's family generates 657 pounds of trash in a year, how much of it is categorized as "other waste"?

a)

146 pounds

b)

219 pounds

c)

292 pounds

d)

365 pounds

79.

What is the amount of cheese required for 8 pizzas?

a)

20 ounces

b)

40 ounces

c)

10 ounces

d)

48 ounces

80.

How many slices of pepperoni are needed for 2 pizzas?

a)

18 slices

b)

72 slices

c)

20 slices

d)

48 slices

81.

If the restaurant doubles the number of pizzas from 2 to 8, what happens to the amount of each ingredient?

a)

The amount of each ingredient stays the same.

b)

The amount of each ingredient doubles.

c)

The amount of each ingredient triples.

d)

The amount of each ingredient is halved.

82.

What is the ratio of 2 to 6 in simplest form?

a)

1:3

b)

3:1

c)

2:6

d)

6:2

83.

Adriana wants to serve double the number of people. If she originally needs 14 ounces of coconut milk, how much coconut milk will she need in total?

a)

14 ounces

b)

28 ounces

c)

18 ounces

d)

24 ounces

84.

What is the equivalent ratio of 4 limes to 10 lychees?

a)

1 lime : 2.5 lychees

b)

4 limes : 10 lychees

c)

6 limes : 15 lychees

d)

2 limes : 5 lychees

85.

How many dragon fruits correspond to 16 pomegranates based on the given diagram?

a)

12 dragon fruits

b)

16 dragon fruits

c)

8 dragon fruits

d)

20 dragon fruits

86.

What is the price of one donut if a dozen costs $18 and there is no discount for buying a dozen?

a)

$1.50

b)

$2.00

c)

$1.25

d)

$1.75

87.

What is the least common multiple (LCM) of 9 and 12?

a)

24

b)

36

c)

18

d)

27

88.

What is the greatest common factor (GCF) of 24 and 36?

a)

12

b)

6

c)

8

d)

4

89.

What is the greatest common factor (GCF) of 55 and 75?

a)

15

b)

10

c)

5

d)

25

90.

If Juan used 6 ounces of teal paint for 4 gallons of white paint, how many ounces of teal paint would Mayra use for the same amount of white paint in her darker ratio?

a)

6 ounces

b)

8 ounces

c)

10 ounces

d)

4 ounces

91.

How many cookies are needed for 300 people based on the table in Lesson 10?

a)

120

b)

300

c)

360

d)

240

92.

If 4 apples weigh 16 ounces, how much do 10 apples weigh?

a)

20 ounces

b)

40 ounces

c)

50 ounces

d)

30 ounces

93.

How many minutes are mentioned in Lesson 12?

a)

120 minutes

b)

160 minutes

c)

180 minutes

d)

200 minutes

94.

How many miles are mentioned in Lesson 12?

a)

7 miles

b)

8 miles

c)

9 miles

d)

10 miles

95.

In Lesson 13, how many cups of yellow paint are mentioned?

a)

10 cups

b)

15 cups

c)

20 cups

d)

25 cups

96.

In Lesson 13, how many cups of red paint are mentioned?

a)

10 cups

b)

15 cups

c)

20 cups

d)

25 cups

97.

In Lesson 14, how many ounces of coffee are needed in Tyrone's recipe?

a)

9 ounces

b)

12 ounces

c)

15 ounces

d)

21 ounces

98.

In Lesson 14, how many ounces of sweetened condensed milk are needed in Tyrone's recipe?

a)

6 ounces

b)

9 ounces

c)

12 ounces

d)

15 ounces

99.

In Lesson 15, how many pounds of trash are mentioned in total?

a)

50 pounds

b)

54 pounds

c)

60 pounds

d)

64 pounds

100.

In Lesson 15, how many pounds of plastic waste are there?

a)

12 pounds

b)

18 pounds

c)

24 pounds

d)

30 pounds