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.
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1. 

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

2. 

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?

3. 

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?

4. 

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?

5. 

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?

6. 

There are 600 bottles of sports drinks in a store.
25% of the bottles are orange flavored drinks.
On Monday 30% of the orange flavored drinks
in the store were sold and on Tuesday 20% of the
remaining orange flavored drinks were sold. How
many bottles of orange flavored drinks were sold
in the two days?

7. 

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

8. 

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

9. 

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?

10. 

During course registration, 28 students enroll in a certain college class.
After three boys are dropped from the class, 44% of the class consists
of boys. What percent of the original class did girls comprise?
Write answer in number only

11. 

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

12. 

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

13. 

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?

14. 

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%

15. 

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?

16. 

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?

17. 

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 ?

18. 

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

19. 

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

20. 

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

21. 

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

22. 

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

23. 

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?

24. 

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

25. 

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

26. 


A square dartboard is placed in the first quadrant from x = 0 to 6 and y = 0 to 6, as shown in the accompanying figure. A triangular region on the dartboard is enclosed by the graphs of the equations y = 2, x = 6, and y = x (not shown). Find the probability that a dart that randomly hits the dartboard will land in the triangular region formed by the three lines

27. 

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

28. 


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

29. 

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

30. 

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

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