Ratios, Rates, and Proportions Practice Questions
SAT · SAT Math · 149 free MCQs with instant results and detailed explanations.
149
Total
48
Easy
77
Medium
24
Hard
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Sample Questions from Ratios, Rates, and Proportions
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
A recipe calls for a ratio of 2 parts sugar to 3 parts flour. If you use 6 cups of sugar, how much flour is needed?
A.
7.5 cups
B.
9 cups
C.
12 cups
D.
15 cups
Show Answer & Explanation
Correct Answer: B
The ratio of sugar to flour is 2:3. If 6 cups of sugar are used, set up the proportion 2/3 = 6/x. Cross-multiplying gives 2x = 18, thus x = 9. Therefore, 9 cups of flour are needed.
Q2
Easy
In a classroom, the ratio of boys to girls is 4:5. If there are 36 students in total, how many boys are there?
A.
16
B.
18
C.
20
D.
24
Show Answer & Explanation
Correct Answer: A
The sum of the parts of the ratio (4+5) is 9. Each part represents 36/9 = 4 students. Thus, boys = 4 parts * 4 students/part = 16 boys.
Q3
Easy
A recipe requires a ratio of 2 cups of flour to 3 cups of sugar. If you have 12 cups of flour, how many cups of sugar are needed?
A.
18 cups
B.
9 cups
C.
6 cups
D.
12 cups
Show Answer & Explanation
Correct Answer: A
The ratio of flour to sugar is 2:3. If you have 12 cups of flour, you can set up a proportion: (2/3) = (12/x), leading to x = (3 * 12) / 2 = 18 cups of sugar.
Q4
Medium
If the ratio of boys to girls in a classroom is 3:5 and there are 24 boys, how many girls are there?
A.
40
B.
36
C.
30
D.
20
Show Answer & Explanation
Correct Answer: A
The ratio of boys to girls is 3:5. If there are 24 boys, we can set up a proportion. Let the number of girls be x. Then, (3/5) = (24/x). Cross-multiplying gives 3x = 120, so x = 40.
Q5
Medium
A recipe uses a ratio of 2 cups of flour to 3 cups of sugar. If you want to use 12 cups of flour, how much sugar is needed?
A.
18 cups
B.
15 cups
C.
12 cups
D.
9 cups
Show Answer & Explanation
Correct Answer: A
The ratio of flour to sugar is 2:3. To find out how much sugar is needed for 12 cups of flour, set up a proportion: (2/3) = (12/x). Cross-multiplying gives 2x = 36, so x = 18.
Q6
Medium
In a certain town, the ratio of bicycles to cars is 4:3. If there are 120 bicycles, how many cars are there?
A.
90
B.
100
C.
80
D.
60
Show Answer & Explanation
Correct Answer: A
The ratio of bicycles to cars is 4:3. To find the number of cars, set up the proportion 4/3 = 120/x. Cross-multiplying gives 4x = 360, hence x = 90.
Q7
Medium
A car travels at a speed of 60 miles per hour. If the car travels for 2.5 hours, how far does it go?
A.
150 miles
B.
120 miles
C.
180 miles
D.
200 miles
Show Answer & Explanation
Correct Answer: A
Distance is calculated as speed multiplied by time. Here, distance = 60 mph * 2.5 hours = 150 miles.
Q8
Hard
A car travels 240 miles using 8 gallons of gas. If the car continues at the same rate, how many gallons of gas will it use to travel 600 miles?
A.
20
B.
15
C.
25
D.
18
Show Answer & Explanation
Correct Answer: A
First, find the rate of miles per gallon: 240 miles / 8 gallons = 30 miles per gallon. For 600 miles, divide 600 by 30 to get the gallons needed: 600 / 30 = 20 gallons.
Q9
Hard
In a certain ratio, the ages of Alice and Bob are 5:3. If the sum of their ages is 64 years, how old is Bob?
A.
24
B.
32
C.
20
D.
16
Show Answer & Explanation
Correct Answer: A
The ratio of Alice and Bob's ages is 5:3, which means for every 8 parts (5 + 3), Alice has 5 parts and Bob has 3 parts. If their total age is 64, divide 64 by 8 to find the value of one part, which is 8. Therefore, Bob's age is 3 parts or 3 * 8 = 24 years.
Q10
Hard
A recipe requires 3 parts of flour for every 2 parts of sugar. If a baker uses 12 cups of flour, how many cups of sugar will be needed to maintain the ratio?
A.
8
B.
6
C.
9
D.
10
Show Answer & Explanation
Correct Answer: A
To maintain the ratio of 3:2, for every 3 cups of flour, 2 cups of sugar are needed. If 12 cups of flour are used, the equivalent sugar required is calculated by (2/3) * 12 = 8 cups.
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Ratios, Rates, and Proportions — SAT SAT Math Practice Questions Online
This page contains 149 practice MCQs for the chapter Ratios, Rates, and Proportions in SAT SAT Math. The questions are organized by difficulty — 48 easy, 77 medium, 24 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.