Ratios and Proportional Relationships Practice Questions
Common Core (US) · Common Core Math Grade 7 · 147 free MCQs with instant results and detailed explanations.
147
Total
45
Easy
71
Medium
31
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
If a recipe calls for 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 expressed as 2 cups of flour for every 3 cups of sugar, which simplifies to 2:3.
Q2
Easy
A class has a ratio of 5 boys to 7 girls. If there are 35 boys in the class, how many girls are there?
A.
49
B.
35
C.
42
D.
28
Show Answer & Explanation
Correct Answer: A
The ratio of boys to girls is 5:7. If there are 35 boys, we can find the number of girls by setting up a proportion: 5/7 = 35/x, which solves to x = 49.
Q3
Easy
A map has a scale of 1 inch to 5 miles. If two towns are 3 inches apart on the map, what is the real distance between the towns?
A.
15 miles
B.
12 miles
C.
18 miles
D.
10 miles
Show Answer & Explanation
Correct Answer: A
Using the scale of 1 inch to 5 miles, if the towns are 3 inches apart, the actual distance is 3 * 5 = 15 miles.
Q4
Medium
A recipe calls for 3 cups of flour for every 2 cups of sugar. If you want to make a batch that uses 9 cups of flour, how many cups of sugar will you need?
A.
6
B.
4
C.
2
D.
3
Show Answer & Explanation
Correct Answer: A
The ratio of flour to sugar is 3:2. If 9 cups of flour are used, you can find the amount of sugar by setting up a proportion: (3/2) = (9/x). Solving gives x = 6 cups of sugar.
Q5
Medium
A map has a scale of 1 inch to 5 miles. If two cities are 8 inches apart on the map, what is the actual distance between the cities in miles?
A.
30
B.
40
C.
50
D.
60
Show Answer & Explanation
Correct Answer: B
Using the scale, 1 inch represents 5 miles. Therefore, 8 inches corresponds to 8 * 5 = 40 miles.
Q6
Medium
A car travels 120 miles on 4 gallons of gas. What is the car's fuel efficiency in miles per gallon?
A.
25
B.
30
C.
32
D.
28
Show Answer & Explanation
Correct Answer: B
To find fuel efficiency, divide the total miles traveled by the gallons used: 120 miles / 4 gallons = 30 miles per gallon.
Q7
Medium
A recipe requires a ratio of 2 cups of flour to 3 cups of sugar. If you want to make a batch using 12 cups of flour, how many cups of sugar will you need?
A.
18 cups
B.
9 cups
C.
6 cups
D.
15 cups
Show Answer & Explanation
Correct Answer: A
To maintain the ratio of 2:3, for every 2 cups of flour, 3 cups of sugar are needed. If you have 12 cups of flour, you can set up a proportion: (2/3) = (12/x). Solving gives x = 18 cups of sugar.
Q8
Hard
A recipe calls for 3 cups of flour to make 12 cookies. If you want to make 48 cookies, how many cups of flour will you need?
A.
6 cups
B.
9 cups
C.
12 cups
D.
15 cups
Show Answer & Explanation
Correct Answer: C
To find the amount of flour needed for 48 cookies, set up a ratio. Since 3 cups make 12 cookies, for 48 cookies: (3 cups / 12 cookies) = (x cups / 48 cookies). Solving for x gives 12 cups.
Q9
Hard
A school is planning a field trip where the ratio of students to teachers is 15:2. If there are 60 students going on the trip, how many teachers are required?
A.
6 teachers
B.
8 teachers
C.
10 teachers
D.
12 teachers
Show Answer & Explanation
Correct Answer: B
To find the number of teachers needed, set up the ratio. The ratio of students to teachers is 15:2, meaning for every 15 students, there are 2 teachers. With 60 students, calculate (60/15) * 2 = 8 teachers.
Q10
Hard
A recipe calls for 4 cups of flour for every 3 cups of sugar. If you want to make a batch that uses 20 cups of flour, how many cups of sugar will you need?
A.
15 cups
B.
12 cups
C.
18 cups
D.
10 cups
Show Answer & Explanation
Correct Answer: A
The ratio of flour to sugar is 4:3. To find the amount of sugar needed for 20 cups of flour, set up a proportion: (4/3) = (20/x). Cross-multiply to solve for x, which gives x = 15 cups of sugar.
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Ratios and Proportional Relationships — Common Core (US) Common Core Math Grade 7 Practice Questions Online
This page contains 147 practice MCQs for the chapter Ratios and Proportional Relationships in Common Core (US) Common Core Math Grade 7. The questions are organized by difficulty — 45 easy, 71 medium, 31 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.