Problem Solving and Data Analysis Practice Questions
SAT · SAT Math · 100 free MCQs with instant results and detailed explanations.
100
Total
36
Easy
44
Medium
20
Hard
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Sample Questions from Problem Solving and Data Analysis
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
A store sells pencils for $0.50 each and erasers for $0.75 each. If you buy a total of 10 items and spend $6.00, how many pencils did you buy?
A.
4
B.
6
C.
5
D.
3
Show Answer & Explanation
Correct Answer: B
Let x be the number of pencils and y be the number of erasers. The equations are x + y = 10 and 0.5x + 0.75y = 6. Solving these gives x = 6.
Q2
Easy
A pie chart shows the distribution of a budget where 30% is allocated to education, 25% to health, and the remaining to other categories. If the total budget is $200, how much is allocated to other categories?
A.
$45
B.
$50
C.
$60
D.
$70
Show Answer & Explanation
Correct Answer: B
The total percentage for education and health is 55% (30% + 25%). Thus, the remaining percentage is 45%. The amount for other categories is 45% of $200, which is $90.
Q3
Easy
A store offers a 20% discount on a pair of shoes that originally costs $50. What is the sale price of the shoes?
A.
$40
B.
$30
C.
$35
D.
$45
Show Answer & Explanation
Correct Answer: A
The discount on the shoes is 20% of $50, which is $10. Therefore, the sale price is $50 - $10 = $40.
Q4
Medium
A store sells 3 types of fruit: apples, bananas, and cherries. If the ratio of apples to bananas is 2:3 and the ratio of bananas to cherries is 4:5, what is the ratio of apples to cherries?
A.
8:15
B.
5:8
C.
2:5
D.
3:4
Show Answer & Explanation
Correct Answer: A
To find the ratio of apples to cherries, first combine the ratios given. Convert the second ratio to have the same number of bananas: Apples : Bananas = 2 : 3, Bananas : Cherries = 4 : 5. Set Bananas to 12 in both ratios, resulting in Apples = 8 and Cherries = 15. Thus, the ratio is 8:15.
Q5
Medium
A rectangle has a width that is half of its length. If the perimeter of the rectangle is 72 units, what is the length of the rectangle?
A.
24
B.
20
C.
18
D.
12
Show Answer & Explanation
Correct Answer: A
Let the length be L and the width be W. Since W = L/2, the perimeter P = 2L + 2W = 2L + 2(L/2) = 2L + L = 3L. Setting this equal to 72 gives 3L = 72, so L = 24.
Q6
Medium
If 3x + 5 = 2x + 15, what is the value of x?
A.
10
B.
5
C.
15
D.
20
Show Answer & Explanation
Correct Answer: A
To solve for x, start by isolating x on one side. Subtract 2x from both sides to get x + 5 = 15. Next, subtract 5 from both sides to find x = 10.
Q7
Medium
A survey of 200 students revealed that 70% preferred online classes to in-person classes. What is the number of students who preferred in-person classes?
A.
60
B.
70
C.
140
D.
130
Show Answer & Explanation
Correct Answer: A
If 70% of 200 students preferred online classes, then 30% preferred in-person classes. Calculating 30% of 200 gives 60.
Q8
Hard
A store sells notebooks at a price of $3 each and pens at a price of $2 each. If a customer buys a total of 10 items and spends $23, how many notebooks did the customer buy?
A.
5
B.
6
C.
4
D.
3
Show Answer & Explanation
Correct Answer: A
Let x be the number of notebooks and y be the number of pens. The equations become x + y = 10 and 3x + 2y = 23. Solving these equations gives x = 5, confirming the customer bought 5 notebooks.
Q9
Hard
In a certain school, 60% of the students are boys. If there are 240 boys in the school, what is the total number of students?
A.
400
B.
360
C.
280
D.
320
Show Answer & Explanation
Correct Answer: A
Let the total number of students be T. Since 60% of the students are boys, 0.6T = 240. Solving for T gives T = 400, indicating there are 400 students in total.
Q10
Hard
A company surveyed its employees about their commute times and found that the average commute time was 35 minutes with a standard deviation of 10 minutes. If the commute times are normally distributed, what percentage of employees can be expected to have a commute time greater than 45 minutes?
A.
15.87%
B.
25%
C.
10.13%
D.
5%
Show Answer & Explanation
Correct Answer: A
Using the properties of a normal distribution, a commute time of 45 minutes is 1 standard deviation above the mean (35 + 10). The percentage of data lying beyond 1 standard deviation from the mean in a normal distribution is approximately 15.87%. Thus, option A is correct.
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Problem Solving and Data Analysis — SAT SAT Math Practice Questions Online
This page contains 100 practice MCQs for the chapter Problem Solving and Data Analysis in SAT SAT Math. The questions are organized by difficulty — 36 easy, 44 medium, 20 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.