Grade 7 Ratios, Proportions and Percentages Practice Test

Correct answer: A

The correct answer is $15.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: The unit price is $6\div4=1.50$ dollars, so $10\cdot1.50=15$ dollars.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: B

The correct answer is $4.8$ cups.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: The rate is $3\div5=0.6$ cup per serving, so $8\cdot0.6=4.8$ cups.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: C

The correct answer is $3.5$ kilometers.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: $3.5\cdot100{,}000=350{,}000$ centimeters, which equals $3.5$ kilometers.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: D

The correct answer is $12$ units.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: Set up $\frac{2}{3}=\frac{8}{x}$. Cross multiplication gives $2x=24$, so $x=12$.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: A

The correct answer is $60$ miles per hour.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: Divide distance by time: $180\div3=60$ miles per hour.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: B

The correct answer is $15$ cups.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: Multiply both terms by 3 because $6\div2=3$: $2:5=6:15$.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: C

The correct answer is $28$.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: Substitute $x=7$: $y=4\cdot7=28$.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: D

The correct answer is $40$.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: $\frac{18}{45}=0.4$, so $x=40$.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: A

The correct answer is $4.8$ centimeters.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: Convert $2.4$ meters to $240$ centimeters, then $240\div50=4.8$ centimeters.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Correct answer: B

The correct answer is $25$.

1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
2. Set up the relationship: There are $5+8=13$ parts. Each part is 5 students, so hats account for $5\cdot5=25$.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.