Grade 6 Ratios and Rates Practice Test

Correct answer: A

The correct answer is Multiply or divide both parts of a ratio by the same nonzero number..

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Equivalent ratios have the same relationship because both parts are scaled by the same factor.
3. Check the result: The correct choice is Multiply or divide both parts of a ratio by the same nonzero number..

Correct answer: B

The correct answer is 9.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Since 12 is $4 \times 3$, multiply the numerator 3 by 3: $x = 9$.
3. Check the result: The correct choice is 9.

Correct answer: C

The correct answer is 24.

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 numerator 5 is multiplied by 3 to get 15, so multiply the denominator 8 by 3: $x = 24$.
3. Check the result: The correct choice is 24.

Correct answer: D

The correct answer is 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: The scale factor from 4 to 10 is $2.5$. Multiply 6 by 2.5 to get 15.
3. Check the result: The correct choice is 15.

Correct answer: A

The correct answer is Yes, because both parts of $7:9$ are multiplied by 3..

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 $7:9$ by 3 gives $21:27$, so the ratios are equivalent.
3. Check the result: The correct choice is Yes, because both parts of $7:9$ are multiplied by 3..

Correct answer: B

The correct answer is $2 \times 35 = 5 \times 14$.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Cross products are equal: $2 \times 35 = 70$ and $5 \times 14 = 70$.
3. Check the result: The correct choice is $2 \times 35 = 5 \times 14$.

Correct answer: C

The correct answer is 35 cups.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: 14 is $7 \times 2$, so multiply the water amount by 7: $5 \times 7 = 35$.
3. Check the result: The correct choice is 35 cups.

Correct answer: D

The correct answer is $3:4 \text{ and } 9:16$.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: $3:4$ equals $12:16$, not $9:16$, so that pair is not equivalent.
3. Check the result: The correct choice is $3:4 \text{ and } 9:16$.

Correct answer: A

The correct answer is 24 meters.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Multiply the drawing length by 4: $6 \times 4 = 24$ meters.
3. Check the result: The correct choice is 24 meters.

Correct answer: B

The correct answer is Can both parts of one ratio be multiplied or divided by the same nonzero factor to get the other ratio?.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: Equivalent ratios keep the same relationship through a common scale factor.
3. Check the result: The correct choice is Can both parts of one ratio be multiplied or divided by the same nonzero factor to get the other ratio?.