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Basic Word Problems 1

If 6 gallons are added to a tank that is already filled to 3/4 of its

capacity, the tank is then filled to 9/10 of its capacity. How many

gallons does the tank hold?

(A) 20

(B) 24

(C) 36(D) 40

(E) 60

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Al, Lew, and Karen polled their funds to buy a gift for a friend.

Al contributed $2 less than 1/3 of the cost of the gift and Lew

contributed $2 more than 1/4 of the cost. If Karen contributed

the remaining $15, what was the cost of the gift?(A) $24

(B) $33

(C) $36(D) $43

(E) $45

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The sum of the interior angles of any polygon with n sides is

180(n - 2) degrees. If the sum of the interior angles of polygon P

is three times the sum of the interior angles of quadrilateral Q,

how many sides does P have?

(A) 6

(B) 8

(C) 10

(D) 12

(E) 14

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An instructor scored a students test of 50 questions by subtracting

2 times the number of incorrect answers from the number of

correct answers. If the student answered all the questions and

received a score of 38, how many questions did the student answercorrectly?

(A) 19

(B) 38

(C) 41

(D) 44

(E) 46

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A student responded to all of the 22 questions on a test and

received a score of 63.5. If the scores were derived by adding 3.5

points for each correct answer and deducting 1 point for each

incorrect answer, how many questions did the student answerincorrectly?

(A) 3

(B) 4

(C) 15

(D) 18

(E) 20

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Percent Increase/Decrease 1

In 1970 there were 8,902 women stockbrokers in the United

States. By 1978 the number had increased to 19,947.

Approximately what was the percent increase?

(A) 45%

(B) 125%

(C) 145%

(D) 150%

(E) 225%

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When the stock marked opened yesterday, the price of a share

of stock X was 10 1/2. When the market closed, the price was

11 1/4. Of the following, which is closest to the percent

increase in the price of stock X ?

(A) 0.5%

(B) 1.0%

(C) 6.7%

(D) 7.1%

(E) 7.5%

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In a rectangle the length in increased by 10% and the width is

increased by 12%. What is the increase in area of the rectangle.

(A) 22%(B) 23.2%

(C) 11.5%

(D) 30%

(E) 12%

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Ratio Problem 1

The sides of a triangle are in ratio of 2:3:5. If the perimeter is

50 inches, find the length of the longest side.

(A) 10(B) 5

(C) 25

(D) 30

(E) 35

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Ratio Problem 2

If the ratio of Johns allowance to Lucys allowance is 3:2

and the ratio of Lucys allowance to Bobs allowance is 3:4,

what is the ratio of Johns allowance to Bobs allowance.

(A) 3:4

(B) 2:3

(C) 9:8

(D) 8:9

(E) 7:5

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Ratio Problem 3Three business partners, Q, R and S, agree to divide their total

profit for a certain year in the rations of 2: 5: 8, respectively. If

Qs share was $4, 000, what was the total profit of the business

partners for the year?

(A) $26,000

(B) $30,000

(C) $52,000

(D) $60,000

(E) $300,000

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Average Problem

The average of 3 different positive numbers

is 100 and the largest of these 3 integers is 120,

what is the least possible value of the smallest of

these 3 integers?

(A) 1

(B) 10

(C) 61

(D) 71

(E) 80

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Age Problem

John is 20 years older than Steve. In 10

years, Steve's age will be half that of John's.

What is Steve's age?(A) 2

(B) 8

(C) 10

(D) 20

(E) 25

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Mixture Problem 1

How many liters of pure alcohol must be added to 100-liter

solution that is 20 percent alcohol in order to produce a solution

that is 25 percent alcohol?

(A) 7/2

(B) 5

(C) 20/3

(D) 8

(E) 39/4

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Mixture Problem 2

A tank contains 10,000 gallons of a solution that is 5 percent

sodium chloride by volume. If 2,500 gallons of water evaporate

from the tank, the remaining solution will be approximatelywhat percent sodium chloride?

(A) 1.25%

(B) 3.75%

(C) 6.25%

(D) 6.67%

(E) 11.7%

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Value Problems 1

Elena purchased brand X pens for $4.00 apiece and brand Y

pens for $2.80 apiece. If Elena purchased a total of 12 pens for

$42.00, how many brand X pens did she purchase?

(A) 4

(B) 5

(C) 6

(D) 7

(E) 8

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Value Problems 2

Three types of pencils,J, K, L, cost $0.05, $0.10, and $0.25

each, respectively. If a box of 32 of these pencils cost a total of

$3.40 and if there are twice as manyKpencils asL pencils in

the box, how manyJpencils are in the box?(A) 6

(B) 12

(C) 14

(D) 18

(E) 20

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Value Problems 3

For a certain performance,x tickets for lower-level seats were

sold at at $10 each andy tickets for balcony seats were sold at $6

each. If there were no other tickets sold and the number of tickets

sold for lower-level seats was 3 times the number of tickets soldfor balcony seats, which of the following expresses the total

number of dollars from tickets sales in terms ofx ?

(A) 12x (D) 32x

(B) 16x (E) 36x

(C) 28x

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Value Problems 4

Laura has 20 coins consisting ofquarters and dimes. If she has a total of$3.05, how many dimes does she have?

(A) 3

(B) 7

(C) 10

(D) 13

(E) 16

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Rate Problems 1One inlet pipe fills an empty tank in 5 hours. A second inlet pipe

fills the same tank in 3 hours. If both pipes are used together, how

long will it take to fill 2/3 of the tank?

(A) 8/15 hr

(B) 3/4 hr

(C) 5/4 hr

(D) 15/8 hr

(E) 8/3 hr

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Rate Problems 2Working alone, R can complete a certain kind of job in 9 hrs, R

and S, working together at these respective rates, can complete one

of these jobs in 6 hrs. In how many hours can S, working alone,

complete one of these jobs?

(A) 18

(B) 12

(C) 9

(D) 6

(E) 3

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