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. 

If the result of increasing a by 300% of a is b, then a is what percent of
b?

2. 

The population of a bacteria culture doubles in number every 12
minutes. The ratio of the number of bacteria at the end of 1 hour to the
number of bacteria at the beginning of that hour is

3. 

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

4. 

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?

5. 

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?

6. 

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?

7. 

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

8. 

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?

9. 

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?

10. 

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?

11. 

In a certain mathematics class, the part of the class that are members of
the math club is 50% of the rest of that class. The total number of math
club members in this class is what percent of the entire class?

12. 

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

13. 

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

14. 

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?

15. 

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?

16. 

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?

17. 

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?

18. 

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?

19. 


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

20. 

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

21. 

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?

22. 

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?

23. 

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 ?

24. 

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?

25. 

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?

26. 

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

27. 

Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for £10 each. Because the first 20 photographs sold so quickly, she raised the price of the photographs to £15 each for the rest of the project. After her expenses, Juliet earns a profit of 80% of the revenues from her sales. What is the least number of photographs she must sell for the rest of the project to earn a profit of at least £400?
Write answer in number only

28. 

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?

29. 

A store offers a 4% discount if a consumer pays cash rather than
paying by credit card. If the cash price of an item is $84.00, what is the
credit-card purchase price of the same item?
Write answer in decimal number only

30. 

In an opinion poll of 50 men and 40 women, 70% of the men and 25%
of the women said that they preferred fiction to nonfiction books. What
percent of the number of people polled preferred to read fiction?

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