Let's go through each of the questions in your quiz and solve them step by step.
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1. What mathematical operation do ratios involve?
Answer: A) division
✔ Explanation:
A ratio compares two quantities and is typically expressed as a fraction, which involves
division. For example, a ratio of 3:4 means $ \frac{3}{4} $, which is division.
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2. Find the unit rate of one diaper if a box of 35 diapers costs $6.99.
We need to divide total cost by number of diapers:
$$
\text{Unit rate} = \frac{6.99}{35} \approx 0.1997 \approx \$0.20
$$
Answer: A) $0.20
✔ Explanation:
Divide $6.99 by 35 diapers → $0.20 per diaper (rounded to the nearest cent).
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3. You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
$$
\text{Unit rate} = \frac{40}{5} = 8 \text{ dollars per pound}
$$
Answer: C) $8 per pound
✔ Explanation:
$40 ÷ 5 lbs = $8 per pound.
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4. A car is going 50 miles per hour. A rate that describes this would have units of:
The phrase "miles per hour" means
miles divided by hours, so both units are involved.
Answer: D) Miles and hours
✔ Explanation:
"Per" indicates division — miles per hour = miles/hour → units are miles and hours.
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5. A unit rate is a rate in which the unit in the denominator is:
A
unit rate is a rate where the denominator is
1 (e.g., miles per 1 hour, cost per 1 item).
Answer: C) 1
✔ Explanation:
For example, $9 per hour means $9 per 1 hour → denominator is 1.
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6. Which rate is equivalent to $9 per hour?
Check each option:
- A) $27 in 3 hours → $27 ÷ 3 = $9/hour
✔
- B) $28 in 4 hours → $28 ÷ 4 = $7/hour
✘
- C) $33 in 3 hours → $33 ÷ 3 = $11/hour
✘
Answer: A) $27 in 3 hours
✔ Explanation:
Only option A gives $9 per hour.
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7. If Maya makes $10 an hour at her after school job, how many hours will it take her to earn $150?
Use division:
$$
\text{Hours} = \frac{150}{10} = 15 \text{ hours}
$$
Answer: 15 hours
✔ Explanation:
$10 per hour → divide total earnings by hourly rate.
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✔ Final Answers Summary:
| Question | Answer |
|--------|--------|
| 1 | A (division) |
| 2 | A ($0.20) |
| 3 | C ($8 per pound) |
| 4 | D (Miles and hours) |
| 5 | C (1) |
| 6 | A ($27 in 3 hours) |
| 7 | 15 hours |
Let me know if you'd like help with the rest of the quiz!
Parent Tip: Review the logic above to help your child master the concept of rate worksheet grade 6.
