SAT Problem-Solving and Data Analysis practice questions
Ratios, percentages, probability and reading data from tables and graphs — heavy on careful interpretation.
33 free questions, each with a full worked solution and an explanation of what each wrong answer means.
Practise this domain adaptively →Easy (7)
- Percent of a quantity
What is 40% of 150? - Percent of a quantity
A class has 25 students, and 60% of them play a sport. How many students play a sport? - Unit conversion
A runner covers 3 kilometers. Given that 1 kilometer equals 1000 meters, how many meters is this? - Range of a data set
What is the range of the number of hours worked by these 6 volunteers? - Percent increase applied to a price (sales tax)
A shirt has a price of $24.00. A sales tax of 8% of the price is added to the price. What is the total cost, in dollars,… - Probability from a two-way frequency table
If one of these 80 students is selected at random, what is the probability that the student chose Music? - Proportional reasoning with a scale
On a map, a distance of 1 inch represents an actual distance of 12 miles. Two towns are 4.5 inches apart on this map. Wh…
Easy–Medium (6)
- Percentages
A jacket originally priced at $80 is discounted by 25%. What is the sale price? - Simple probability
A bag contains 3 red, 5 blue, and 2 green marbles. If one marble is drawn at random, what is the probability it is red? - Proportional reasoning
A recipe uses 2 cups of flour to make 3 servings. How many cups of flour are needed for 12 servings? - Median
What is the median of the data set 4, 7, 7, 9, 13? - Ratios
The ratio of dogs to cats at a shelter is 5 to 3. If there are 40 dogs, how many cats are there? - Rates and unit rate
A printer produces 8 pages every 5 seconds. At this rate, how many pages does it produce in 1 minute?
Medium (7)
- Ratios and rates
A car travels 150 miles in 2.5 hours. At this rate, how far will it travel in 4 hours? - Percent change
The price of a stock rises from $40 to $50. What is the percent increase? - Line of best fit
Based on the model, what score does the line predict for a student who studies 5 hours? - Percent change
A population decreases from 250 to 200 over a year. What is the percent decrease? - Two-way tables
If one person is chosen at random from those who prefer tea, what is the probability the person is under 30? - Statistics: mean, median, range
What is the difference between the mean and the median of this data set? - Density / rate as a unit rate
A machine fills 3 bottles every 4 seconds. How many seconds does it take to fill 27 bottles?
Hard (7)
- Statistics: mean
The mean of five numbers is 12. If four of them are 8, 10, 14, and 16, what is the fifth number? - Overlapping sets
In a survey of 50 people, 30 like coffee, 20 like tea, and 8 like both. How many like neither? - Average speed
A car travels at 60 mph for 2 hours, then 40 mph for 3 hours. What is its average speed for the whole trip? - Standard deviation concept
Which statement correctly compares the standard deviations of the two sets? - Line of best fit interpretation
Which statement best interprets the slope of the line of best fit? - Percent concentration / mixture (weighted percent) problems
How many milliliters of the 40% acid solution must the chemist add? - Reverse percent with weighted parts of a whole
How many circuit boards were produced in the batch?
Very hard (6)
- Compound percent / successive discounts
An item priced at $200 is first marked down by 20%, and then an additional 10% is taken off the reduced price. What is t… - Probability with mean constraint
A data set of 6 test scores has a mean of 78. After a 7th score is added, the mean rises to 80. What was the 7th score? - Conditional probability from category counts (reversing the condition)
If one of the chips that failed inspection is selected at random, what is the probability that it was produced by Machin… - Reversing a chain of percent changes
The regular price of a bicycle at a shop was increased by 25%. Later, during a sale, this increased price was reduced by… - Median and mean from a frequency table with unknown frequencies
What is the result when the mean number of pets is subtracted from the median number of pets? - Repeated proportional dilution (percent concentration)
What is the value of x?
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