Ratios And Proportions Practice Test: Quiz!

1) A gardening magazine suggested that a good mix for a flower bed is 20 pails of clay dirt, 15 pails of sand, and 5 pails of manure. Express this in lowest terms.

20:15:5

10:7:3

4:3:1

4:3:2

The ratio of 20 pails of clay dirt, 15 pails of sand, and 5 pails of manure can be expressed in lowest terms as 4:3:1. This means that for every 4 pails of clay dirt, there are 3 pails of sand and 1 pail of manure in the flower bed mix.

Explanation

The ratio of 20 pails of clay dirt, 15 pails of sand, and 5 pails of manure can be expressed in lowest terms as 4:3:1. This means that for every 4 pails of clay dirt, there are 3 pails of sand and 1 pail of manure in the flower bed mix.

2) Ratios that name the same comparison, is what?

Proportion

Rate

Cross product

Equivalent ratio

Unit rate

Equivalent ratios are ratios that name the same comparison. They have the same value but may be expressed in different ways. For example, the ratios 2:4 and 1:2 are equivalent because they represent the same comparison of 2 to 4. Therefore, the correct answer is equivalent ratio.

Explanation

Equivalent ratios are ratios that name the same comparison. They have the same value but may be expressed in different ways. For example, the ratios 2:4 and 1:2 are equivalent because they represent the same comparison of 2 to 4. Therefore, the correct answer is equivalent ratio.

3) The smallest common multiple of two or more numbers, is known as what?

Ratio

Rate

Cross product

Least common multiple

Unit Rate

The smallest common multiple refers to the smallest number that is divisible by all the given numbers without leaving a remainder. This concept is known as the least common multiple (LCM). Therefore, the correct answer is "least common multiple."

Explanation

The smallest common multiple refers to the smallest number that is divisible by all the given numbers without leaving a remainder. This concept is known as the least common multiple (LCM). Therefore, the correct answer is "least common multiple."

4) Proper or equal share, describes what?

Least common multiple

Ratio

Proportion

Rate

Cross product

Proportion refers to the equality of two ratios. It represents a proper or equal share between two quantities. In a proportion, the relationship between the quantities remains consistent, and the ratio of one quantity to the other is maintained. Therefore, the correct answer is "proportion".

Explanation

Proportion refers to the equality of two ratios. It represents a proper or equal share between two quantities. In a proportion, the relationship between the quantities remains consistent, and the ratio of one quantity to the other is maintained. Therefore, the correct answer is "proportion".

5) A relationship in quantity, amount, or size between two or more things, is known as what?

Ratio

Rate

Cross product

Least common multiple

Unit rate

A ratio is a comparison between two or more quantities, amounts, or sizes. It expresses the relationship between these quantities and can be represented in the form of a fraction or a colon. For example, if there are 5 boys and 3 girls in a class, the ratio of boys to girls is 5:3. Therefore, the correct answer for this question is "ratio".

Explanation

A ratio is a comparison between two or more quantities, amounts, or sizes. It expresses the relationship between these quantities and can be represented in the form of a fraction or a colon. For example, if there are 5 boys and 3 girls in a class, the ratio of boys to girls is 5:3. Therefore, the correct answer for this question is "ratio".

6) Reckoned value, describes what?

Least common multiple

Ratio

Proportion

Rate

Cross product

The term "reckoned value" refers to the calculated or estimated value of something. Among the given options, "rate" is the most appropriate term to describe a reckoned value. A rate represents the ratio between two quantities measured in different units. It is commonly used to express the change in one quantity with respect to another, such as speed, interest rates, or exchange rates. Therefore, rate is the best fit for describing a reckoned value.

Explanation

The term "reckoned value" refers to the calculated or estimated value of something. Among the given options, "rate" is the most appropriate term to describe a reckoned value. A rate represents the ratio between two quantities measured in different units. It is commonly used to express the change in one quantity with respect to another, such as speed, interest rates, or exchange rates. Therefore, rate is the best fit for describing a reckoned value.

7) A rate in which the second quantity in the comparison is one unit, is what?

Proportion

Rate

Cross product

Equivalent Ratio

Unit rate

A unit rate is the rate in which the second quantity in the comparison is one unit. It allows for easy comparison and understanding of different quantities by standardizing the measurement to one unit. This helps in determining the value of one unit and making comparisons between different rates or quantities.

Explanation

A unit rate is the rate in which the second quantity in the comparison is one unit. It allows for easy comparison and understanding of different quantities by standardizing the measurement to one unit. This helps in determining the value of one unit and making comparisons between different rates or quantities.

8) A stackable CD rack holds 25 CDs and costs $4. Charlie has a collection of 150 CDs. How much will it cost him to buy enough racks to hold all of his CDs?

$4

$24

$25

$150

To find the cost of buying enough racks to hold all of his CDs, we need to divide the total number of CDs by the capacity of each rack. In this case, Charlie has 150 CDs and each rack can hold 25 CDs. Therefore, he will need 6 racks (150 CDs / 25 CDs per rack). Since each rack costs $4, the total cost of buying enough racks will be $24 (6 racks * $4 per rack).

Explanation

To find the cost of buying enough racks to hold all of his CDs, we need to divide the total number of CDs by the capacity of each rack. In this case, Charlie has 150 CDs and each rack can hold 25 CDs. Therefore, he will need 6 racks (150 CDs / 25 CDs per rack). Since each rack costs $4, the total cost of buying enough racks will be $24 (6 racks * $4 per rack).

9) Either of the two products obtained by multiplying the two means or the two extremes of a proportion, describes what?

Least common multiple

Ratio

Proportion

Rate

Cross product

The cross product is the product of the two means or the two extremes of a proportion. In a proportion, the cross product is used to compare the two ratios and determine if they are equal. It helps in solving for unknown values in a proportion equation. Therefore, the correct answer is cross product.

Explanation

The cross product is the product of the two means or the two extremes of a proportion. In a proportion, the cross product is used to compare the two ratios and determine if they are equal. It helps in solving for unknown values in a proportion equation. Therefore, the correct answer is cross product.

10) Susan found a bag of 20 golf balls at a garage sale and bought the bag for 75 cents. Express the ratio of cost to the number of balls in lowest terms.

20:75

75:20

4:15

15:4

The ratio of the cost to the number of balls can be found by dividing the cost by the number of balls. In this case, the cost is 75 cents and the number of balls is 20. Dividing 75 by 20 gives us 3.75. To express this ratio in lowest terms, we can multiply both sides by 4 to get 15:4.

Explanation

The ratio of the cost to the number of balls can be found by dividing the cost by the number of balls. In this case, the cost is 75 cents and the number of balls is 20. Dividing 75 by 20 gives us 3.75. To express this ratio in lowest terms, we can multiply both sides by 4 to get 15:4.