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Basic Word Problems 1

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. Basic Word Problems 2.

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Basic Word Problems 1

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  1. 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

  2. Basic Word Problems 2 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

  3. Basic Word Problems 3 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

  4. Basic Word Problems 4 An instructor scored a student’s 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 answer correctly? (A) 19 (B) 38 (C) 41 (D) 44 (E) 46

  5. Basic Word Problems 5 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 answer incorrectly? (A) 3 (B) 4 (C) 15 (D) 18 (E) 20

  6. 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%

  7. Percent Increase/Decrease 2 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%

  8. Percent Increase/Decrease 3 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%

  9. 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. • 10 • 5 • 25 • 30 • 35

  10. Ratio Problem 2 • If the ratio of John’s allowance to Lucy’s allowance is 3:2 and the ratio of Lucy’s allowance to Bob’s allowance is 3:4, what is the ratio of John’s allowance to Bob’s allowance. • 3:4 • 2:3 • 9:8 • 8:9 • 7:5

  11. Ratio Problem 3 • Three 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 Q’s share was $4, 000, what was the total profit of the business partners for the year? • $26,000 • $30,000 • $52,000 • $60,000 • $300,000

  12. 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

  13. 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

  14. 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? • 7/2 • 5 • 20/3 • 8 • 39/4

  15. 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 approximately what percent sodium chloride? • 1.25% • 3.75% • 6.25% • 6.67% • 11.7%

  16. 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? • 4 • 5 • 6 • 7 • 8

  17. 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 many K pencils as L pencils in the box, how many J pencils are in the box? • 6 • 12 • 14 • 18 • 20

  18. Value Problems 3 For a certain performance, x tickets for lower-level seats were sold at at $10 each and y 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 sold for balcony seats, which of the following expresses the total number of dollars from tickets sales in terms of x ? (A) 12x (D) 32x (B) 16x (E) 36x (C) 28x

  19. Value Problems 4 Laura has 20 coins consisting of quarters 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

  20. Rate Problems 1 One 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

  21. Rate Problems 2 Working 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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