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
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  • 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. 

There are 10 history books in a bookcase. When the number of books increases by x percent, the new number of history books is 24. What is the value of x ?

2. 

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?

3. 

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?

4. 

After a 20% increase, the new price of a radio is $78.00. What was the
original price of the radio?

5. 

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

6. 

If (c-3d)/4 = d/2 what is the ratio of c to d?

7. 

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?

8. 

Jack’s weight first increased by 20% and then his new weight
decreased by 25%. His final weight is what percent of his beginning
weight?

9. 

After 2 months on a diet, John’s weight dropped from 168 pounds to
147 pounds. By what percent did John’s weight drop?

10. 

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?

11. 

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

12. 

$$\frac{x}{z} = \frac{1}{3}$$
If in the equation above x and z are integers, which are possible values
of \(\frac{x^{2}}{z}\)?
I. \(\frac{1}{9}\)
II. \(\frac{1}{3}\)
III. 3

13. 


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

14. 

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

15. 

The numbers a , b , and c are positive and a equals 3.2bc . If b is increased by 150% and c is decreased by 60%, then a is

16. 

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?

17. 

At the end of the season, the ratio of the number of games a team has
won to the number of games it lost is 4 : 3. If the team won 12 games
and each game played ended in either a win or a loss, how many games
did the team play during the season?

18. 

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

19. 

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

20. 

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

21. 

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 

22. 

It took 12 men 5 hours to build an airstrip. Working at the same rate,
how many additional men could have been hired in order for the job to
have taken 1 hour less?

23. 

A used-car lot has 4-door sedans, 2-door sedans, sports cars, vans, and
jeeps. Of these vehicles, 40% are 4-door sedans, 25% are 2-door
sedans, 20% are sports cars, 10% are vans, and 20 of the vehicles are
jeeps. If this car lot has no other vehicles, how many vehicles are on the
used-car lot?

24. 

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?

25. 

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?

26. 

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 ?

27. 

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 ?

28. 

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?

29. 

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?

30. 

Five people contributed €9,000 each toward the
purchase of a sailboat. If they ended up paying
€38,500 plus 8% sales tax for the boat, how much
money should be refunded to each person?

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