Ratios and Proportional Relationships Practice Questions
Common Core (US) · Common Core Math Grade 6 · 149 free MCQs with instant results and detailed explanations.
149
Total
43
Easy
78
Medium
28
Hard
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Sample Questions from Ratios and Proportional Relationships
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
A recipe calls for a ratio of 3 cups of flour to 2 cups of sugar. How much sugar is needed if you use 9 cups of flour?
A.
6 cups
B.
4 cups
C.
5 cups
D.
3 cups
Show Answer & Explanation
Correct Answer: A
Using the ratio of flour to sugar (3:2), if you scale up to 9 cups of flour, you need to multiply the sugar amount by 3 (since 9 is 3 times 3), resulting in 6 cups of sugar.
Q2
Easy
If a car travels 150 miles on 5 gallons of gas, what is the ratio of miles per gallon?
A.
30 miles per gallon
B.
25 miles per gallon
C.
20 miles per gallon
D.
35 miles per gallon
Show Answer & Explanation
Correct Answer: A
To find the miles per gallon, you divide the total miles traveled (150) by the gallons of gas used (5). This gives you 150 ÷ 5 = 30 miles per gallon.
Q3
Easy
If a recipe calls for 2 cups of sugar to 3 cups of flour, what is the ratio of sugar to flour?
A.
2:3
B.
3:2
C.
1:5
D.
5:1
Show Answer & Explanation
Correct Answer: A
The ratio of sugar to flour is expressed as the amount of sugar over the amount of flour, which is 2 cups of sugar to 3 cups of flour, resulting in a ratio of 2:3.
Q4
Medium
A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to make the recipe using 12 cups of sugar, how many cups of flour will you need?
A.
8
B.
6
C.
10
D.
9
Show Answer & Explanation
Correct Answer: A
To maintain the ratio of 2:3, if you have 12 cups of sugar, you multiply 12 by (2/3) to get 8 cups of flour.
Q5
Medium
A scale model of a building is built in a 1:50 ratio. If the height of the model is 4 feet, what is the actual height of the building?
A.
250 feet
B.
200 feet
C.
300 feet
D.
150 feet
Show Answer & Explanation
Correct Answer: B
In a 1:50 ratio, every 1 unit on the model equals 50 units in reality. Therefore, 4 feet on the model equals 4 * 50 = 200 feet.
Q6
Medium
A recipe requires 2 cups of flour for every 3 cups of sugar. What is the ratio of flour to sugar?
A.
2:3
B.
3:2
C.
1:1.5
D.
1:2
Show Answer & Explanation
Correct Answer: A
The ratio of flour to sugar is correctly represented as 2:3, meaning for every 2 cups of flour, there are 3 cups of sugar.
Q7
Medium
If a car travels 120 miles in 2 hours, what is the unit rate of miles per hour?
A.
60 miles/hour
B.
30 miles/hour
C.
90 miles/hour
D.
120 miles/hour
Show Answer & Explanation
Correct Answer: A
To find the unit rate, divide the total miles by the total hours: 120 miles ÷ 2 hours = 60 miles/hour.
Q8
Hard
A recipe requires 3 cups of flour for every 2 cups of sugar. If you want to make a batch of cookies that uses 9 cups of flour, how many cups of sugar will you need?
A.
6 cups
B.
4 cups
C.
3 cups
D.
8 cups
Show Answer & Explanation
Correct Answer: A
To find the amount of sugar needed for 9 cups of flour, we set up a proportion based on the ratio of flour to sugar (3:2). If 3 cups of flour corresponds to 2 cups of sugar, then for 9 cups of flour, the calculation is (9 cups flour) * (2 cups sugar / 3 cups flour) = 6 cups sugar.
Q9
Hard
A map uses a scale of 1 inch to represent 50 miles. If the distance between two cities on the map is 4.5 inches, what is the actual distance between the cities in miles?
A.
200 miles
B.
225 miles
C.
150 miles
D.
250 miles
Show Answer & Explanation
Correct Answer: B
To find the actual distance, multiply the distance on the map by the scale factor. Since 1 inch on the map equals 50 miles, for 4.5 inches, it would be 4.5 inches * 50 miles/inch = 225 miles.
Q10
Hard
A recipe requires 3 cups of flour for every 2 cups of sugar. If you want to make a batch using 12 cups of flour, how many cups of sugar will you need?
A.
8
B.
6
C.
9
D.
4
Show Answer & Explanation
Correct Answer: A
To find the amount of sugar needed, use the ratio of flour to sugar (3:2). For 12 cups of flour, set up the proportion: 3/2 = 12/x. Cross-multiplying gives 3x = 24, so x = 8 cups of sugar.
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Ratios and Proportional Relationships — Common Core (US) Common Core Math Grade 6 Practice Questions Online
This page contains 149 practice MCQs for the chapter Ratios and Proportional Relationships in Common Core (US) Common Core Math Grade 6. The questions are organized by difficulty — 43 easy, 78 medium, 28 hard — so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.