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. 

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

2. 

At a college basketball game, the ratio of the number of freshmen who
attended to the number of juniors who attended is 3 : 4. The ratio of the
number of juniors who attended to the number of seniors who attended
is 7 : 6. What is the ratio of the number of freshmen to the number of
seniors who attended the basketball game?

3. 


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

4. 

If\(\frac{a+b}{b}=4 and \frac{a+c}{c}=3\), what is the ratio of c to b?

5. 

VOTING POLL

Candidate A

30%

Candidate B

50%

Undecided

20%


The table above summarizes the results of an election poll in which
4,000 voters participated. In the actual election, all 4,000 of these
people voted, and those people who chose a candidate in the poll voted
for that candidate. People who were undecided voted for candidate A in
the same proportion as the people who cast votes for candidates in the
poll. Of the people polled, how many voted for candidate A in the
actual election?

6. 

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?

7. 

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?

8. 

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

9. 

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

10. 

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 ?

11. 

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 ?

12. 

If 4 pairs of socks costs €10.00, how many pairs of socks can be
purchased for €22.50?

13. 

On a certain map, 3/8 of an inch represents 120 miles. How many miles
does \(1\frac{3}{4}\) inches represent?

14. 

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?

15. 

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 

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. 

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?

18. 

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

19. 

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

20. 

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?

21. 

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?

22. 

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 ?

23. 

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?

24. 

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?

25. 

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?

26. 

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?

27. 

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?

28. 

If \(8^{r}=4^{t}\) what is the ratio of r to t?

29. 

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?

30. 

Two boys can paint a fence in 5 hours. How many hours would it take
3 boys to paint the same fence?

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