SAT Statistics and Data Analysis percent & ratio

Statistics and Data Analysis : SAT Test - Part 1

  • 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 price of a stock falls 25%. By what percent of the new price must
the stock price rise in order to reach its original value?

2. 

What are the coordinates of the point P in the xy-plane that divides the
segment whose endpoints are A(−2, 9) and B(7, 3) into two segments
such that the ratio of AP to PB is 1 to 2?

3. 

A string is cut into 2 pieces that have lengths in the ratio of 2 : 9. If the
difference between the lengths of the 2 pieces of string is 42 inches,
what is the length in inches of the shorter piece?
Write answer in number only

4. 

In a factory that manufactures light bulbs, 0.04% of all light bulbs
manufactured are defective. On the average, there will be three
defective light bulbs out of how many manufactured?

5. 

A chemist mixes x mL of a 34% acid solution
with a 10% acid solution. If the resulting solution
is 40 mL with 25% acidity, what is the value of x ?

6. 

A high school tennis team is scheduled to play 28 matches. If the team
wins 60% of the first 15 matches, how many additional matches must
the team win in order to finish the season winning 75% of its
scheduled matches?
Write answer in number only

7. 

Jars A, B, and C each contain 8 marbles. What is the minimum number
of marbles that must be transferred among the jars so that the ratio of
the number of marbles in jar A to the number in jar B to the number in
jar C is 1 : 2 : 3?
Write answer in number only

8. 

If x represents a number picked at random from the set {−3, −2, −1, 0,
1, 2}, what is the probability that x will satisfy the inequality 4 − 3x < 6?

9. 

The number of calories burned while jogging varies directly with the
number of minutes spent jogging. If George burns 180 calories by
jogging for 25 minutes, how many calories does he burn by jogging for
40 minutes?

10. 

A car moving at a constant rate travels 96 miles in 2 hours. If the car
maintains this rate, how many miles will the car travel in 5 hours?

11. 


A political campaign organizer has determined that the number of
hours needed to get out a mailing for her candidate is inversely related
to the number of campaign workers she has. If she uses the information
in the accompanying graph, how many hours would it take to do the
mailing if 125 workers are used?
Write answer in number only

12. 

A recipe for 4 servings requires salt and pepper to be added in the ratio
of 2 : 3. If the recipe is adjusted from 4 to 8 servings, what is the ratio
of the salt and pepper that must now be added?

13. 

The number of kilograms of corn needed to feed 5,000 chickens is 30
less than twice the number of kilograms needed to feed 2,800 chickens.
How many kilograms of corn are needed to feed 2,800 chickens?

14. 

By the end of the school year, Terry had passed 80% of his science
tests. If Terry failed 4 science tests, how many science tests did Terry
pass?

15. 

A school club includes only sophomores, juniors, and seniors, in the
ratio of 1 : 3 : 2. If the club has 42 members, how many seniors are in
the club?

16. 

The price of a package of 4 pens is €8.00. The
same pens are sold at €2.50 each. If Alex bought
three packages of pens rather than buying 12 pens
individually, the amount he saved on 12 pens is
what percent of the amount he paid?

17. 

In a certain college, the ratio of mathematics majors to English majors
is 3 : 8. If in the following school year the number of mathematics
majors increases 20% and the number of English majors decreases
15%, what is the new ratio of mathematics majors to English majors?

18. 

A car starts a trip with 20 gallons of gas in its tank. The car traveled at
an average speed of 65 miles per hour for 3 hours and consumed gas at
a rate of 30 miles per gallon. What percent of the gas in the tank was
used for the 3-hour trip?

19. 

If a − 3b = 9b − 7a, then the ratio of a to b is

20. 

The ratio of A to B is a : 8, and the ratio of B to C is 12 : c. If the ratio
of A to C is 2 : 1, what is the ratio of a to c?

21. 

If 1 cup of milk is added to a 3-cup mixture that is 2/5  flour and 3/5 milk,
what percent of the 4-cup mixture is milk?

22. 

In a movie theater, 480 of the 500 seats were occupied. What percent
of the seats were NOT occupied?

23. 

If s and t are integers, 8 < t < 40, and s/t = 4/7, how many possible values
are there for t?

24. 

There is a total of n pairs of shoes in a store,
all of which are either black or brown. If there
are m pairs of brown shoes in the store, then
in terms of m and n , what percent of the shoes
in the store are black?

25. 

A tablet with a list price of x dollars is discounted
by 15% and then discounted an additional 12%.
What is the final sale price of the tablet, in terms
of x ?

26. 

Three students use a computer for a total of 3 hours. If the first student
uses the computer 28% of the total time, and the second student uses
the computer 52% of the total time, how many minutes does the third
student use the computer?

27. 

A soccer team has played 25 games and has won 60% of the games it
has played. What is the minimum number of additional games the team
must win in order to finish the season winning 80% of the games it has
played?

28. 

After a discount of 15%, the price of a shirt is €51. What was the
original price of the shirt?

29. 

If y varies directly as x and y = 12 when x = c, what is y in terms of c
when x = 8?

30. 

In a club of 35 boys and 28 girls, 80% of the boys and 25% of the girls
have been members for more than 2 years. If n percent of the club have
been members for more than 2 years, what is the value of n?
Write your answer 

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