SAT Statistics and Data Analysis percent & ratio

Statistics and Data Analysis : SAT Test - Part 1

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1. 

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

2. 


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

3. 

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?

4. 

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?

5. 

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?

6. 

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

7. 

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?

8. 

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?

9. 

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?

10. 

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

11. 

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?

12. 

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?

13. 

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?

14. 

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

15. 

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

16. 

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

17. 

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 ?

18. 

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%

19. 

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?

20. 

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 ?

21. 

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?

22. 

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?

23. 

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

24. 

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?

25. 

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

26. 

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

27. 

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?

28. 

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

29. 

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?

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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