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. 

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?

2. 

A car starts a trip with 20 gallons of gas in its tank. The car traveled at
an average speed of 65 miles per hour for 3 hours and consumed gas at
a rate of 30 miles per gallon. What percent of the gas in the tank was
used for the 3-hour trip?

3. 

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?

4. 

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

5. 

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%

6. 

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

7. 

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?

8. 

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?

9. 

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 ?

10. 

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?

11. 

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?

12. 

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

13. 

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?

14. 

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

15. 

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?

16. 

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

17. 

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?

18. 

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

19. 

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

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. 

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?

22. 

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

23. 

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?

24. 

A store used to sell an MP3 for €72, which is 50% more than the wholesale cost. At a special holiday sale, the price of the MP3 was 20% less than the wholesale cost. What was the special sale price of the MP3?

25. 

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

26. 

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

27. 

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?

28. 


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

29. 

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

30. 

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?

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