SAT data analysis and statistics part 3

Mastering Advanced Math: SAT Test - part 3

  • The quiz consists of 200 questions, and the user will be presented with a unique set of 10 questions in each session for a diverse experience
  • Please note that answers cannot be deselected once chosen in the quiz, so make your choices carefully for an optimal testing experience.
  • Each question is meticulously crafted to mirror the complexity and diversity of problem-solving you'll encounter in the SAT.
  • Use it as a targeted practice tool to identify and address specific areas of improvement.
  • Track your progress and see your proficiency grow.
1. 


The diagram above shows a graph of the students’ test scores in Ms. Wedow’s algebra class. Which ten-point interval contains the median?

2. 


If there are 72 SAT Math scores between 510 and 600, how many SAT Math scores are above 700? refer to the graph above.

3. 

If 2a + b = 7 and b + 2c = 23, what is the average of a, b, and c?

4. 


A new fitness class was started at several fitness clubs owned by the same company. The scatterplot shows the total number of people attending the class during the first five months in which the class was offered. The line of
best fit is drawn.
During the five-month period, the average increase in the number of people attending the class per month is closest to which of the following?

5. 


The graph above shows the number of U.S. households with laptop
computers for the years 2010 to 2014.
What was the percent of increase in the number of households with
laptops from 2010 to 2014?

6. 

The breakdown of a sample of a chemical compound is represented by
the function \(p(n) = 300(0.5)^{n}\) , where p(n) represents the number of
milligrams of the substance that remains at the end of n years. Which of
the following is true?
I. 300 represents the number of milligrams of the substance that
remains after the first year.
II. 0.5 represents the fraction of the starting amount by which the
substance gets reduced by the end of each year.
III. Each year the substance gets reduced by one-half of 300.

7. 

When x is subtracted from 2y, the difference is equal to the average of
x and y. What is the value of  x/y?

8. 


If 20% of the students with SAT Math scores from 610 to 700 received
college scholarships, how many students with SAT Math scores from
610 to 700 received college scholarships? refer to the graph above.

9. 


The table above shows the annual salaries for the 24 members of a professional sports team in terms of millions of dollars.
The team signs an additional player to a contract with an annual salary of 7.5 million dollars per year, which brings the sum of the salaries of the 25 players to 69 million dollars. By what amount, in dollars, does the mean increase?

10. 


The scatterplot above shows the profit, by month, for a new company for the first year of operation. A line of best fit is also shown. Using this line, by what dollar amount did the profit in the 18th month exceed the profit in the 13th month?

11. 


From 2014 to 2015 the number of students enrolled in advanced mathematics courses increased by the same percent that student enrollment in advanced mathematics courses dropped from 2013 to 2014. What was the approximate number of students enrolled in advanced mathematics courses in 2015?

12. 


Refer to the above scatterplot, which shows wrist and neck
circumference measurements, in centimeters, for 12 people. The line of best fit is drawn.
How many of the 12 people have an actual neck circumference that differs by more than 1 centimeter from the neck circumference predicted by the line of best fit?

13. 

The lowest value in a set of ordered scores is x and the highest value is
y. If each score is increased by k, then which of the following must be
true of the revised set of scores?
I. The mean is increased by k.
II. The range is k.
III. The median remains unchanged.

14. 


The percent increase in the number of students enrolled in advanced mathematics courses from 2010 to 2011 exceeded the percent increase from 2012 to 2013 by approximately what percent?

15. 


The graph above shows the number of U.S. households with laptop
computers for the years 2010 to 2014.
The greatest percent of increase in the number of households with
laptops occurred in which two consecutive years?

16. 


The histogram above shows the number of mobile text messages sent
by a randomly selected group of 27 people on a given day. The average
number of text messages sent per person is closest to what whole
number?

17. 

The average of a, b, c, and d is p. If the average of a and c is q, what is
the average of b and d in terms of p and q?

18. 


Based on the cumulative histogram above, what percent of the total number of swimmers swam between 200 and 249 yards?

19. 


A new fitness class was started at several fitness clubs owned by the same company. The scatterplot shows the total number of people attending the class during the first five months in which the class was offered. The line of
best fit is drawn.
At the beginning of which month did the actual number of people attending the class differ by the greatest amount from the number predicted by the line of best fit?

20. 

Jacob begins painting at 12:00 noon. At 12:30 P.M. he estimates that 13
gallons of paint are left, and at 3:30 he estimates that 4 gallons of paint
remain. If the paint is being used at a constant rate, how many gallons
of paint did Jacob have when he started the job?

21. 


Refer to the above table, which summarizes the results of a
survey of the student body of a high school about club membership in which each student enrolled in the high school enumerated the clubs in which they were members.

If 28% of the students who are enrolled in this school belong to at least two clubs, how many students who are enrolled in this school did not participate in the survey?

22. 


Which of the following statements is true about the data in the tables above?
I. The mean salaries for both companies are greater than $35,000.
II. The mean age of workers in Company 1 is greater than the mean
age of workers in Company 2.
III. The salary range in Company 2 is greater than the salary range in
Company 1.

23. 


If a total of 1,700 tickets were sold for the five types of movies
represented in the histogram, what is the best estimate for the number
of tickets sold to the Romance movie?
Refer to the graph above that summarizes a survey of a
group of 250 people who were randomly selected when leaving a multiplex
movie theater and asked what type of movie they had seen.

24. 

The arithmetic mean of a set of 20 test scores is represented by x. If
each score is increased by y points, which expression represents the
arithmetic mean of the revised set of test scores?

25. 

A man drove a car at an average rate of speed of 45 miles per hour for
the first 3 hours of a 7-hour car trip. If the average rate of speed for the
entire trip was 53 miles per hour, what was the average rate of speed in
miles per hour for the remaining part of the trip?

26. 


The bar graph above shows the verbal and math SAT scores for five students labeled A through E. If a scatterplot of the data in the bar graph is made such that the math SAT score for each student is plotted along the x-axis and their verbal SAT score is plotted along the y-axis, how many of the data points would lie above the line y = x?

27. 

The number of hours, H, needed to manufacture X computer monitors
is given by the function H = kX + q, where k and q are constants. If it
takes 270 hours to manufacture 100 computer monitors and 410 hours
to manufacture 160 computer monitors, how many minutes are
required to manufacture each additonal computer monitor?
write answer only in numbers

28. 

If the average of x, y, and z is 12, what is the average of 3x, 3y, and 3z?

29. 


Refer to the above table, which summarizes the results of a survey of the student body of a high school about club membership in which each student enrolled in the high school enumerated the clubs in which they were members.

If a student is selected at random, what is the probability that the student does not belong to 3 or more clubs?

30. 


In 2012, the number of cars purchased was x percent of the number of
cars leased. What is the best approximation for x? refer the graph above.

31. 

Given a starting population of 100 bacteria, the formula b(t) = 100(2^t)
can be used to determine the number of bacteria, b, after t periods of
time. If each time period is 15 minutes long, how many minutes will it
take for the population of bacteria to reach 51,200?
write answer only in numbers

32. 


The graph above shows how $250,000 is invested.
After 20% of the amount that is invested in technology stocks is
reinvested in health stocks, how much money is invested in health
stocks?

33. 

Erica is conducting a survey about the proposed increase in the sports
budget in the Hometown School District. Which survey method would
likely contain the most bias?

34. 

Chris plans to purchase a car that loses its value at a rate of 14% per
year. If the intial cost of the car is $27,000, which of the following
equations should Chris use to determine the value, v, of the car after 4
years?

35. 

If \( a_{n}\) represents the nth term of the sequence 54,18,6, ..., and \( a_{1}\)
represents the first term, then \( a_{n}\) =

36. 


The table above summarizes the number of people by age group who were included in a survey of driving habits. Which of the following
statements is true?

37. 


The tables above give the distribution of grades for 21 students in two different college mathematics classes. For purposes of making statistical calculations,
A = 4, B = 3, C = 2, D = 1, and F = 0. Which of the following statements is true about the data shown for these two
classes?
I. The standard deviation of grades is greater for class X.
II. The standard deviation of grades is greater for class Y.
III. The median letter grade is the same for classes X and Y.

38. 

Some banks charge a fee on savings accounts that are left inactive for
an extended period of time. The equation \(y = 5,000(0.98)^{x}\)
represents the value, y, of one account that was left inactive for a period of x
years. What is the y-intercept of this equation and what does it
represent?

39. 

The number of square units, A, in the area covered by a bacteria culture
is increasing at a rate of 20% every 7 days. If the bacteria culture
initially covers an area of 10 square centimeters, which equation can be
used to find the number of square units in the area covered by the
bacteria culture after d days?

40. 


The greatest percent of increase in the jogger’s heart rate occurred over
what interval of time, in minutes? Refer to the graph above which shows the heart rate, in beats per minute, of a jogger during a 4-minute interval.

Leave a Reply