Grade 6 Ratios and Rates Practice Test

Correct answer: A

The correct answer is Pairs of values that maintain the same multiplicative relationship..

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: A ratio table organizes equivalent pairs and helps solve proportional problems.
3. Check the result: The correct choice is Pairs of values that maintain the same multiplicative relationship..

Correct answer: B

The correct answer is $y = 3x$.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: If x is the number of students and y is notebooks, multiply x by 3 to get y.
3. Check the result: The correct choice is $y = 3x$.

Correct answer: C

The correct answer is 12.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Substitute 4 for x: $y = 3 \times 4 = 12$.
3. Check the result: The correct choice is 12.

Correct answer: D

The correct answer is 4.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: The first part changes from 5 to 20, and $20 \div 5 = 4$. Both parts are multiplied by 4.
3. Check the result: The correct choice is 4.

Correct answer: A

The correct answer is $3:5$.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Divide both parts by their greatest common factor, 2: $6 \div 2 = 3$ and $10 \div 2 = 5$.
3. Check the result: The correct choice is $3:5$.

Correct answer: B

The correct answer is $10:15$.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Multiplying both parts of $2:3$ by 5 gives $10:15$.
3. Check the result: The correct choice is $10:15$.

Correct answer: C

The correct answer is A table with pairs $(1,3), (2,6), (3,10)$..

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: The first table has ratios 3, 3, and $10 \div 3$, which are not constant.
3. Check the result: The correct choice is A table with pairs $(1,3), (2,6), (3,10)$..

Correct answer: D

The correct answer is A check can catch reversed quantities, incorrect scale factors, arithmetic errors, or mismatched units..

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Estimating and checking units help confirm that the answer fits the situation.
3. Check the result: The correct choice is A check can catch reversed quantities, incorrect scale factors, arithmetic errors, or mismatched units..

Correct answer: A

The correct answer is It tells the amount of one quantity for exactly 1 unit of another quantity..

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: A unit rate has a denominator of 1 and makes comparisons easier.
3. Check the result: The correct choice is It tells the amount of one quantity for exactly 1 unit of another quantity..

Correct answer: B

The correct answer is Ratios and rates compare quantities, while equivalent relationships, unit rates, tables, equations, and graphs help solve real-world problems..

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: A complete summary connects comparison, scale factors, units, representations, and proportional reasoning.
3. Check the result: The correct choice is Ratios and rates compare quantities, while equivalent relationships, unit rates, tables, equations, and graphs help solve real-world problems..