Ratios and Rates Quiz

Grade 6 · Math · Quiz

Test your understanding of ratios, rates, and unit rates.

Questions

What is the ratio of 14 to 21 in simplest form?
1. 2:3
2. 7:10
3. 14:21
4. 1:7
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Answer: 2:3
GCF of 14 and 21 is 7. 14÷7=2, 21÷7=3.
A runner covers 18 miles in 3 hours. What is the unit rate?
1. 6 miles per hour
2. 54 miles per hour
3. 3 miles per hour
4. 21 miles per hour
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Answer: 6 miles per hour
18 miles ÷ 3 hours = 6 miles per hour.
The ratios 2:5 and 4:10 are equivalent.
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Answer: True
4:10 simplifies to 2:5, same as 2:5.
A store sells 5 notebooks for $8.75. What is the price per notebook?
1. $1.75
2. $2.00
3. $0.57
4. $43.75
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Answer: $1.75
$8.75 ÷ 5 notebooks = $1.75 per notebook.
If the ratio of cats to dogs is 3:4 and there are 12 cats, there are ___ dogs.
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Answer: 16
3:4 = 12:? Multiply both parts by 4. 4×4=16.
Which ratio is NOT equivalent to 6:10?
1. 9:15
2. 3:5
3. 12:20
4. 4:8
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Answer: 4:8
4:8 simplifies to 1:2, not 3:5. The others all simplify to 3:5.
A rate must always compare quantities with the same units.
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Answer: False
Rates compare quantities with DIFFERENT units. Same-unit comparisons are just ratios.
60 miles per hour is an example of a ___ rate.
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Answer: unit
60 miles per hour means 60 miles per 1 hour — that's the definition of a unit rate.
A recipe uses 2 cups of milk for every 3 cups of flour. How many cups of milk are needed for 9 cups of flour?
1. 6 cups
2. 4 cups
3. 3 cups
4. 18 cups
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Answer: 6 cups
2:3 = ?:9. Multiply both parts by 3: 2×3=6.
Which best describes a unit rate?
1. A ratio comparing a quantity to 1 unit of another
2. Any ratio with a denominator of 10
3. A ratio where both quantities are equal
4. A comparison of the same units
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Answer: A ratio comparing a quantity to 1 unit of another
Unit rates always have 1 as the second quantity — like $3 per pound or 45 words per minute.

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