SAT Math: Problem Solving and Data Analysis

Question 1

SAT (Digital)APConcept PracticeEasy

1 mark

A customer spent $</math-inline>27[object Object]<math-inline>3$ per pound. How many pounds of oranges did the customer purchase?

Question 2

SAT (Digital)APConcept PracticeHard

1 mark

The positive number $a$ is $2,241%$ of the sum of the positive numbers $b$ and $c$ , and $b$ is $83%$ of $c$ . What percent of $b$ is $a$ ?

Question 3

SAT (Digital)APConcept PracticeEasy

1 mark

The scatterplot shows the relationship between two variables, $x$ and $y$ . A line of best fit is also shown.

![Scatterplot](

Which of the following equations best represents the line of best fit shown?

Question 4

SAT (Digital)APConcept PracticeEasy

1 mark

The line graph shows the percent of cars for sale at a used car lot on a given day by model year.

![A line graph. The horizontal axis is labeled Model year. It ranges from 2010 to 2019 in increments of 1. The vertical axis is labeled Percent of cars for sale. It ranges from 0% to 15% in increments of 1, with values marked every 5 grid lines.](Image URL)

For what model year is the percent of cars for sale the smallest?

Question 5

SAT (Digital)APConcept PracticeEasy

1 mark

What percentage of $300$ is $75$ ?

Question 6

SAT (Digital)APConcept PracticeHard

1 mark

The scatterplot shows the relationship between two variables, $x$ and $y$ . An equation for the exponential model shown can be written as $y = a(b)^x$ , where $a$ and $b$ are positive constants. Which of the following is closest to the value of $b$ ?

Question 7

SAT (Digital)APConcept PracticeHard

1 mark

Data set A consists of $10$ positive integers less than $60$ . The list shown gives $9$ of the integers from data set A.

$43$ , $45$ , $44$ , $43$ , $38$ , $39$ , $40$ , $46$ , $40$

The mean of these $9$ integers is $42$ . If the mean of data set A is an integer that is greater than $42$ , what is the value of the largest integer from data set A?

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Question 8

SAT (Digital)APConcept PracticeEasy

1 mark

The ratio of the length of line segment $XY$ to the length of line segment $ZV$ is $6$ to $1$ . If the length of line segment $XY$ is $102$ inches, what is the length, in inches, of line segment $ZV$ ?

Question 9

SAT (Digital)APConcept PracticeEasy

1 mark

The bar graph shows the distribution of the number of walnuts per container for $20$ containers at a grocery store.

![Bar Graph](A bar graph. The horizontal axis is labeled Number of walnuts per container. 4 bars are shown. The vertical axis is labeled Frequency. It ranges from 0 to 8 in increments of 1.)

How many of these containers of walnuts contain exactly $78$ walnuts?

Question 10

SAT (Digital)APConcept PracticeHard

1 mark

Data set A and data set B each consist of $27$ values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?

Value	Data set A frequency	Data set B frequency
$30$	$2$	$9$
$34$	$4$	$7$
$38$ ...

Value

Data set A frequency

Data set B frequency

30

2

9

34

4

7

38

...