Grade 6 Ratios and Rates Practice Test

Correct answer: A

The correct answer is A comparison of two quantities by division..

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 compares two quantities and shows how much of one quantity there is compared with another.
3. Check the result: The correct choice is A comparison of two quantities by division..

Correct answer: B

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: The first quantity is red apples and the second is green apples, so the ratio is $3:5$.
3. Check the result: The correct choice is $3:5$.

Correct answer: C

The correct answer is $4:6$.

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 2 gives $4:6$.
3. Check the result: The correct choice is $4:6$.

Correct answer: D

The correct answer is $3:2$.

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, 4: $12 \div 4 = 3$ and $8 \div 4 = 2$.
3. Check the result: The correct choice is $3:2$.

Correct answer: A

The correct answer is 25 beads.

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 2 blue beads to 10 is 5. There are $3 \times 5 = 15$ white beads, so the total is 25.
3. Check the result: The correct choice is 25 beads.

Correct answer: B

The correct answer is For every 4 of one quantity, there are 7 of the other 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 ratio compares corresponding quantities in a stated order: 4 parts to 7 parts.
3. Check the result: The correct choice is For every 4 of one quantity, there are 7 of the other quantity..

Correct answer: C

The correct answer is $5:8$.

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 number counts cats and the second number counts dogs, so the ratio is $5:8$.
3. Check the result: The correct choice is $5:8$.

Correct answer: D

The correct answer is $3:8$.

1. Identify the ratio or rate: Write the quantities in the order given and keep the units or labels clear.
2. Use equivalent relationships: There are $3 + 5 = 8$ students altogether, so boys to all students is $3:8$.
3. Check the result: The correct choice is $3:8$.

Correct answer: A

The correct answer is 6 notebooks.

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 15 is $3 \times 5$, multiply 2 by 3: $2 \times 3 = 6$ notebooks.
3. Check the result: The correct choice is 6 notebooks.

Correct answer: B

The correct answer is How many red tiles are there compared with blue tiles in a design?.

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 is useful when comparing two quantities, such as red tiles and blue tiles.
3. Check the result: The correct choice is How many red tiles are there compared with blue tiles in a design?.