Equivalent Ratios Quiz

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Which of the following best describes equivalent ratios?

Ratios with different values.
Ratios that have the same number of terms.
Ratios that only involve whole numbers.
Ratios that express the same relationship. (correct)

The ratio 3:5 is equivalent to the ratio 6:15.

False (B)

If a recipe calls for a 1:3 ratio of sugar to flour, what is another equivalent ratio?

2:6

The ratio 4:8 is equivalent to 1:______.

2 Signup and view all the answers

Match each ratio with its equivalent ratio:

2:3 = 4:6 1:4 = 2:8 5:2 = 10:4 3:7 = 6:14 Signup and view all the answers

What type of ratio is used to compare the number of items in different categories, such as apples to oranges?

Part-to-part (C) Signup and view all the answers

The calculation 12:3 = 4:1 represents equivalent ratios

True (A) Signup and view all the answers

If a ratio is given as 10:20, what is an equivalent ratio?

1:2 Signup and view all the answers

In the ratio 4:5 = 8: ______, the missing term is

10 Signup and view all the answers

Match the following ratios with their missing terms:

2:3 = :6 = 4 5:10 = 1: = 2 3:4 = 9:__ = 12 10:15=2:__ = 3 Signup and view all the answers

Which of the following describes the relationship between adding the same amount to both terms of a ratio and creating an equivalent ratio?

Adding the same amount to both terms usually does not result in an equivalent ratio. (C) Signup and view all the answers

A ratio of 400g to 1kg is equivalent to a ratio of 4:1.

False (B) Signup and view all the answers

What is the missing term in the proportion 27:45 = 5:?

25 Signup and view all the answers

In the proportion 16/? = 2/3 , the missing term is ______.

24 Signup and view all the answers

Match the following time comparisons with their equivalent simplified ratios:

400 g to 1 kg = 2:5 6 cm to 7 mm = 60:7 200 s to 3 min = 10:9 Signup and view all the answers

If the ratio of juice bottles to water bottles is 60:90, which of the following is an equivalent ratio?

4:6 (B) Signup and view all the answers

If a map has a ratio of 3:2,000,000, then 6 cm on the map represents 40 km.

True (A) Signup and view all the answers

Mary uses 3 parts water for each 1 part concentrate when making orange juice. If she made 2 L of orange juice, how much concentrate did she use in liters?

0.5 Signup and view all the answers

If 27 kg of milk is needed to make 4 kg of butter, then to make 3 kg of butter, you would need ______ kg of milk.

20.25 Signup and view all the answers

Match the ratio problem with the corresponding solution:

2:3 = 36:? = 54 12:18 = 30:? = 45 6:8 = ?:44 = 33 80:? = 50:60 = 96 Signup and view all the answers

What does 'per' mean when used in the context of a rate?

To or for each (B) Signup and view all the answers

A speed of 10 m/s means an object travels 10 meters every second.

True (A) Signup and view all the answers

If a swimmer covers 50 meters in 25 seconds, what is their speed in meters per second?

2 m/s Signup and view all the answers

A rate in which the second term is 1 is called a ______ rate.

unit Signup and view all the answers

Match the following terms with their definitions:

Speed = The rate at which an object moves a certain distance in a certain time Rate = A comparison of two amounts measured in different units Unit Rate = A rate where the second term is 1 Signup and view all the answers

If green paint is mixed with white paint in a 5:3 ratio, what fraction of the total paint mixture is white?

3/8 (C) Signup and view all the answers

Brad buys 4 CDs for $56. At this rate, how many CDs can he buy with $42?

3 (D) Signup and view all the answers

The ratio 10:20 is equivalent to the ratio 1:3.

False (B) Signup and view all the answers

If 6 kg of oranges cost $14, then 12 kg of oranges would cost $28.

True (A) Signup and view all the answers

A bead necklace has red, blue, and purple beads in the ratio 5:3:1. If the necklace has a total of 27 beads, how many blue beads are there?

9 Signup and view all the answers

Jason's mom drove 160 km to a stampede at 100 km/h and back at 90 km/h. What was the difference in time between the two trips, in minutes?

10.67 Signup and view all the answers

In a ratio table, if 10 days corresponds to 70 school days, then 5 days would correspond to ______ school days, assuming the same ratio.

35 Signup and view all the answers

Match the following ratios with their equivalent forms:

2:3 = 4:6 1:5 = 3:15 5:2 = 15:6 4:7 = 8:14 Signup and view all the answers

The unit cost of peaches is $3.70 for 2 kg. Therefore, the cost for 1 kg of peaches is $______.

1.85 Signup and view all the answers

Match the following items with their correct unit:

Cost for peaches = dollars per kg Car speed = kilometers per hour Cost for tiles = dollars per m² Distance = km Signup and view all the answers

How many cats are up for adoption if the ratio of cats to dogs is 5:2 and there are currently 63 animals?

36 (C) Signup and view all the answers

If a spreadsheet has three cells with numbers for every two cells with words, the ratio of numerical cells to word cells is 3:2.

True (A) Signup and view all the answers

How much would Nicole earn in 12 hours if she earned $78 in 9 hours?

$104 Signup and view all the answers

In Jason's mom's trip, the time difference between driving to the city at 80 km/h and returning at 90 km/h was __________ hours.

0.5 Signup and view all the answers

Match the following problems to their corresponding solutions:

6/10 of 160000 = 96000 women graduated x/4.2 = 31.5/x = x = 5.1 2.67/3 = $0.89 per bar 70 km at 80 km/h = 0.875 hours Signup and view all the answers

Allison and Nikita have a CD collection with a rap to pop to rock ratio of 4:6:8. If they have 63 pop CDs, which proportion can be used to determine the number of rock CDs?

8 : 6 = x : 63 (D) Signup and view all the answers

The ratio 8:6 can be replaced with 8 × 63 : 6 × 63 when solving for the number of rock CDs because you are multiplying both parts of the ratio by the same number.

True (A) Signup and view all the answers

In the equivalent ratios 8 × 63 : 6 × 63 = x : 6 × 63, if the second terms are equal, what does this tell you about the first terms?

The first terms are also equal. Signup and view all the answers

If the ratio of rap CDs to pop CDs is 4:6 and there are 63 pop CDs, the number of rap CDs can be found by setting up the proportion 4 : 6 = x : ______.

63 Signup and view all the answers

Match the following statements about equivalent ratios to their correct meanings:

The ratios 8:6 and 8 × 63 : 6 × 63 are equivalent. = Both sides of the ratio are multiplied by the same value In the ratios 8 × 63 : 6 × 63 = x : 6 × 63 the second terms are the same = The first terms must also be equal The ratio 4:6 is used to solve for the number of rap CDs = This gives a proportion for finding the number of rap CDs in a ratio with the pop CDs Signup and view all the answers

Marlene can run 6 km in 45 minutes if she can run 4 km in 30 minutes.

True (A) Signup and view all the answers

How many flyers does Sam need to deliver to earn $45 if he earns $2.50 for every 10 flyers?

1800 (B) Signup and view all the answers

Is the ratio 270:1 correct when comparing a glass with 270 mL capacity to a thermos flask with 1 L capacity? Explain.

No, the ratio should be 270:1000 or 27:100 as 1 L is 1000 mL. Signup and view all the answers

If golden raisins cost $0.66/100g and dark raisins cost $0.55/100g, you will save $______ if you buy the cheaper raisins for a 500g recipe.

0.55 Signup and view all the answers

Jake downloaded a 1600 KB file in 14 seconds. Another file downloaded in 21 seconds. Approximately how large, in KB, was the second file?

2400 KB (A) Signup and view all the answers

According to a school district report, the student-to-teacher ratio is 20:1. If there are 50 teachers and 1280 pupils in the district, the report is accurate.

False (B) Signup and view all the answers

Match the following ratios with their comparison:

8:10 = Smaller than 20:20 8:10:20 = A ratio that cannot be directly compared as it contains three parts, but indicates how a quantity is divided into three parts 20:20 = Equal to 1 Signup and view all the answers

In Ellen's school, for every four boys who play sports, there are three girls. Can there be exactly 80 girls who play sports? Explain.

No, as 80 is not a multiple of 3, the ratio would not be maintained, hence for 80 girls, there cannot be a whole number of boys Signup and view all the answers

Equivalent Ratio

A ratio that represents the same relationship as another ratio.

Ratio in parts

A visual representation of a ratio using parts.

Proportion

An equation showing that two ratios are equivalent.

Scaling a Ratio

The process of finding equivalent ratios by multiplying or dividing both parts of a ratio by the same number.