Grade 7 Ratios, Proportions and Percentages Practice Test

Correct answer: A

The correct answer is $10$.

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 9 total parts, so each part is 5 beads. Red beads account for $2\cdot5=10$.
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 $12$.

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: $5\%=0.05$, so $0.05\cdot240=12$.
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: C

The correct answer is $120$.

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: Let $n$ be the number. Solve $0.60n=72$ to get $n=120$.
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 $2:5$.

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: Write $0.4$ as $\frac{2}{5}$, then multiply both terms by 5: $2:5$.
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 $3:5$.

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 30 students, so the ratio is $18:30$. Divide by 6 to get $3:5$.
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 $37.5\%$.

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: $\frac{3}{8}=0.375=37.5\%$.
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 $x=7.5$.

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 sides by 12: $x=12\cdot\frac{5}{8}=\frac{60}{8}=7.5$.
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 $75.

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: $0.30\cdot250=75$ 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: A

The correct answer is 6 items for $8.40.

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: The first unit price is $6\div4=1.50$ dollars. The second is $8.40\div6=1.40$ dollars, so the second is lower.
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 $75\%$.

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: $\frac{18}{24}=\frac{3}{4}=0.75=75\%$.
3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.