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. 

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?

2. 

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?

3. 

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 ?

4. 

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?

5. 

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

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. 

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

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. 

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 ?

10. 

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?

11. 

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?

12. 

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

13. 

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?

14. 

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

15. 

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

16. 

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

17. 

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

18. 

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?

19. 

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

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. 

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

22. 

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?

23. 

For integer values of a and b,\( b^{a}\) = 8. The ratio of a to b is equivalent
to the ratio of c to d, where c and d are integers. What is the value of c
when d = 10?  
Write answer in number only %BLANK%

24. 

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

25. 

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?

26. 

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

27. 

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

28. 

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?

29. 

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

30. 

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?

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