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. 

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 

2. 

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?

3. 

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

4. 

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?

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. 

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?

8. 

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

9. 

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 ?

10. 

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?

11. 

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?

12. 

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?

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. 

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

15. 

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?

16. 

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?

17. 

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

18. 

$$\frac{x}{z} = \frac{1}{3}$$
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

19. 

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

20. 

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

21. 

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

22. 


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

23. 

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

24. 

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 ?

25. 

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?

26. 

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?

27. 

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

28. 

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?

29. 

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?

30. 

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?

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