Quiz worksheet on ratios and rates featuring multiple-choice questions about comparing units, calculating rates, and expressing ratios as fractions.
Quizizz worksheet titled "ratios and rates 2" with 10 questions on ratios, rates, and proportions.
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Show Answer Key & Explanations
Step-by-step solution for: 50+ Ratios and Rates worksheets for 8th Grade on Quizizz | Free ...
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Show Answer Key & Explanations
Step-by-step solution for: 50+ Ratios and Rates worksheets for 8th Grade on Quizizz | Free ...
Let’s go through each question one by one, step by step.
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Question 1: What is it called when two or more of the same units are being compared?
- A ratio compares quantities — they can be same or different units.
- A rate specifically compares two *different* units (like miles per hour).
- A proportion is when two ratios are equal.
- A unit rate is a rate where the second quantity is 1 unit.
But the key here: “same units” → that’s just a basic comparison → that’s a ratio.
✔ Answer: A. Ratio
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Question 2: What is it called when two different units are being compared?
This is the definition of a rate — like dollars per pound, miles per gallon, etc.
✔ Answer: B. Rate
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Question 3: There are 4 birds and 6 snakes. What is the ratio of birds to total animals?
Total animals = 4 birds + 6 snakes = 10 animals
Ratio of birds to total = 4 / 10
That’s already in fraction form as asked.
✔ Answer: B. 4/10
*(Note: It doesn’t say “simplest form”, so 4/10 is correct as-is.)*
---
Question 4: You travel 150 miles on 5 gallons. How far did you travel per gallon?
“Per gallon” means divide total miles by number of gallons:
150 ÷ 5 = 30 miles per gallon
✔ Answer: B. 30 miles
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Question 5: You earn $15 every 3 weeks. At this rate, how much will you earn in 5 weeks?
First, find weekly earnings:
$15 ÷ 3 weeks = $5 per week
Then for 5 weeks:
$5 × 5 = $25
✔ Answer: B. $25
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Question 6: Express 12 baskets in 18 attempts as a fraction in simplest form.
Fraction = 12/18
Simplify: divide numerator and denominator by 6 → 2/3
But look at the options:
A. 2:3 → that’s a ratio, not a fraction
B. 3 to 2 → wrong order and not fraction
C. 6 to 9 → not simplified, and not fraction
D. 12/18 → not simplified
Wait — none say “2/3”? But option A is “2:3” which is equivalent to 2/3 as a ratio.
The question says: “as a fraction in simplest form”
Hmm… but none of the choices are written as fractions except D (which isn’t simplified).
Wait — maybe there’s a typo? Let me check again.
Actually, looking back: Option A is “2:3” — that’s a ratio notation.
But the question asks for a fraction.
None of the options show “2/3”. That’s strange.
Wait — perhaps the test expects us to pick the simplified version even if written as ratio? Or maybe I misread.
Let me re-read: “Express 12 baskets in 18 attempts as a fraction in simplest form.”
Correct answer should be 2/3, but it’s not listed.
Option D is 12/18 — that’s unsimplified.
Option A is 2:3 — that’s the simplified ratio, but not written as a fraction.
Maybe the test considers “2:3” acceptable? But technically, a fraction is written with a slash or horizontal bar.
Wait — perhaps the question meant “as a ratio”? Because all options are ratios except D.
Looking at the wording: “as a fraction in simplest form” — but then options include colons and “to”.
This might be an error in the quiz.
But let’s think: sometimes people use “fraction” loosely.
If we must choose from given options, the simplified version of 12/18 is 2/3, which corresponds to 2:3 as a ratio.
And since 2:3 is the only simplified option, and others are either unsimplified or reversed...
I think the intended answer is A. 2:3
Even though it's not written as a fraction, it represents the same value.
Alternatively, maybe the question meant “ratio” instead of “fraction”.
Given the context of the quiz (ratios and rates), and the options provided, A. 2:3 is the best choice.
✔ Answer: A. 2:3
---
Question 7: Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
Unit rate = total cost ÷ number of pounds
$3.75 ÷ 3 = ?
Let’s calculate:
3.75 ÷ 3
3 ÷ 3 = 1
0.75 ÷ 3 = 0.25
So 1 + 0.25 = 1.25
Or: 3.75 ÷ 3 = 1.25
So, $1.25 per pound.
But wait — the options aren’t shown for question 7! In the image, it cuts off after question 7 without showing choices.
Since the user didn’t provide options for Q7, and based on calculation:
✔ Final Answer for Q7: $1.25 per pound
But since no options are given, and the instruction is to solve accurately, I’ll state the numerical answer.
However, looking back at the original image description — actually, in the user’s message, question 7 ends with “What is his unit rate in dollars per pound?” and no options are visible. So I’ll compute it.
But since the format requires selecting from options, and none are given, perhaps it’s a mistake.
Wait — in the initial problem statement, the user included up to question 7, but didn’t paste the options for Q7. Since I have to answer, I’ll assume the answer is $1.25, and if forced to box it, I’ll write that.
But let’s double-check all answers first.
---
Final Answers Summary:
1. A
2. B
3. B
4. B
5. B
6. A
7. $1.25 (but no options given)
Since the user may expect multiple choice for all, and Q7 has no options, perhaps it’s incomplete. But based on math, it’s $1.25.
In many such quizzes, the answer would be among options like:
A. $0.80
B. $1.25
C. $3.75
D. $11.25
So likely B.
But since not specified, I’ll proceed with calculated value.
---
Final Answer:
1. A
2. B
3. B
4. B
5. B
6. A
7. $1.25
But to match format, since it's multiple choice for 1-6, and 7 is open, I'll list them.
Actually, the user probably expects the answers as letters for 1-6, and number for 7.
But in the response, I need to put final answer after reasoning.
Since the instruction is to provide final answer after all reasoning, and for multiple questions, I’ll list them.
──────────────────────────────────────
Final Answer:
1. A
2. B
3. B
4. B
5. B
6. A
7. $1.25
---
Question 1: What is it called when two or more of the same units are being compared?
- A ratio compares quantities — they can be same or different units.
- A rate specifically compares two *different* units (like miles per hour).
- A proportion is when two ratios are equal.
- A unit rate is a rate where the second quantity is 1 unit.
But the key here: “same units” → that’s just a basic comparison → that’s a ratio.
✔ Answer: A. Ratio
---
Question 2: What is it called when two different units are being compared?
This is the definition of a rate — like dollars per pound, miles per gallon, etc.
✔ Answer: B. Rate
---
Question 3: There are 4 birds and 6 snakes. What is the ratio of birds to total animals?
Total animals = 4 birds + 6 snakes = 10 animals
Ratio of birds to total = 4 / 10
That’s already in fraction form as asked.
✔ Answer: B. 4/10
*(Note: It doesn’t say “simplest form”, so 4/10 is correct as-is.)*
---
Question 4: You travel 150 miles on 5 gallons. How far did you travel per gallon?
“Per gallon” means divide total miles by number of gallons:
150 ÷ 5 = 30 miles per gallon
✔ Answer: B. 30 miles
---
Question 5: You earn $15 every 3 weeks. At this rate, how much will you earn in 5 weeks?
First, find weekly earnings:
$15 ÷ 3 weeks = $5 per week
Then for 5 weeks:
$5 × 5 = $25
✔ Answer: B. $25
---
Question 6: Express 12 baskets in 18 attempts as a fraction in simplest form.
Fraction = 12/18
Simplify: divide numerator and denominator by 6 → 2/3
But look at the options:
A. 2:3 → that’s a ratio, not a fraction
B. 3 to 2 → wrong order and not fraction
C. 6 to 9 → not simplified, and not fraction
D. 12/18 → not simplified
Wait — none say “2/3”? But option A is “2:3” which is equivalent to 2/3 as a ratio.
The question says: “as a fraction in simplest form”
Hmm… but none of the choices are written as fractions except D (which isn’t simplified).
Wait — maybe there’s a typo? Let me check again.
Actually, looking back: Option A is “2:3” — that’s a ratio notation.
But the question asks for a fraction.
None of the options show “2/3”. That’s strange.
Wait — perhaps the test expects us to pick the simplified version even if written as ratio? Or maybe I misread.
Let me re-read: “Express 12 baskets in 18 attempts as a fraction in simplest form.”
Correct answer should be 2/3, but it’s not listed.
Option D is 12/18 — that’s unsimplified.
Option A is 2:3 — that’s the simplified ratio, but not written as a fraction.
Maybe the test considers “2:3” acceptable? But technically, a fraction is written with a slash or horizontal bar.
Wait — perhaps the question meant “as a ratio”? Because all options are ratios except D.
Looking at the wording: “as a fraction in simplest form” — but then options include colons and “to”.
This might be an error in the quiz.
But let’s think: sometimes people use “fraction” loosely.
If we must choose from given options, the simplified version of 12/18 is 2/3, which corresponds to 2:3 as a ratio.
And since 2:3 is the only simplified option, and others are either unsimplified or reversed...
I think the intended answer is A. 2:3
Even though it's not written as a fraction, it represents the same value.
Alternatively, maybe the question meant “ratio” instead of “fraction”.
Given the context of the quiz (ratios and rates), and the options provided, A. 2:3 is the best choice.
✔ Answer: A. 2:3
---
Question 7: Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
Unit rate = total cost ÷ number of pounds
$3.75 ÷ 3 = ?
Let’s calculate:
3.75 ÷ 3
3 ÷ 3 = 1
0.75 ÷ 3 = 0.25
So 1 + 0.25 = 1.25
Or: 3.75 ÷ 3 = 1.25
So, $1.25 per pound.
But wait — the options aren’t shown for question 7! In the image, it cuts off after question 7 without showing choices.
Since the user didn’t provide options for Q7, and based on calculation:
✔ Final Answer for Q7: $1.25 per pound
But since no options are given, and the instruction is to solve accurately, I’ll state the numerical answer.
However, looking back at the original image description — actually, in the user’s message, question 7 ends with “What is his unit rate in dollars per pound?” and no options are visible. So I’ll compute it.
But since the format requires selecting from options, and none are given, perhaps it’s a mistake.
Wait — in the initial problem statement, the user included up to question 7, but didn’t paste the options for Q7. Since I have to answer, I’ll assume the answer is $1.25, and if forced to box it, I’ll write that.
But let’s double-check all answers first.
---
Final Answers Summary:
1. A
2. B
3. B
4. B
5. B
6. A
7. $1.25 (but no options given)
Since the user may expect multiple choice for all, and Q7 has no options, perhaps it’s incomplete. But based on math, it’s $1.25.
In many such quizzes, the answer would be among options like:
A. $0.80
B. $1.25
C. $3.75
D. $11.25
So likely B.
But since not specified, I’ll proceed with calculated value.
---
Final Answer:
1. A
2. B
3. B
4. B
5. B
6. A
7. $1.25
But to match format, since it's multiple choice for 1-6, and 7 is open, I'll list them.
Actually, the user probably expects the answers as letters for 1-6, and number for 7.
But in the response, I need to put final answer after reasoning.
Since the instruction is to provide final answer after all reasoning, and for multiple questions, I’ll list them.
──────────────────────────────────────
Final Answer:
1. A
2. B
3. B
4. B
5. B
6. A
7. $1.25
Parent Tip: Review the logic above to help your child master the concept of ratio worksheet grade 8.