# SSAT数学试题库

SSAT数学题库 SSAT数学专项练习 1. Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9 A. Descending arithmetic sequence B. Ascending arithmetic sequence C. Descending geometric sequence D. Ascending geometric sequence E. Miscellaneous sequence 2. Which of the following is not a whole number followed by its square? A. 1, 1 B. 6, 36 C. 8, 64 D. 10, 100 E. 11, 144 3. A nurse has to record her temperatures in Celsius but her thermometer reads Fahrenheit. A patient s temperature is 100.7° F. What is the temperature in °C? A. 32° C B. 36.5° C C. 38.2° C D. 213.3° C E. 223.7° C 4. Art realized that he had 2 more quarters than he had originally thought in his pocket. If all of the change in his pocket is quarters and it totals to $8.75, how many quarters did he originally think were in his pocket? A. 27 B. 29 C. 31 D. 33 E. 35 5. There are 12 more apples than oranges in a basket of 36 apples and oranges. How many apples are in the basket? A. 12 B. 15 C. 24 D. 28 E. 36 6. Which of the following correctly identifies 4 consecutive odd integers where the sum of the middle two integers is equal to 24? A. 5, 7, 9, 11 B. 7, 9, 11, 13 C. 9, 11, 13, 15 D. 11, 13, 15, 17 E. 13, 15, 17, 19 7. What is the next number in the sequence? 6, 12, 24, 48, ___ A. 72 B. 96 C. 108 D. 112 E. 124 8. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number? A. 0 B. 1 C. 2.33 D. -3 E. none of the above 9. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___ A. 1/10 B. 1/12 C. 1/14 D. 1/15 E. 1/16 10. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies A. degrees Celsius B. milliliters C. quarts D. kilograms E. cups SSAT数学题库 SSAT数学综合练习题 1. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest? A. 2 years B. 3 years C. 4 years D. 5 years E. 6 years 2. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color? A. 4 B. 8 C. 12 D. 13 E. 16 3. If r = 5 z then 15 z = 3 y, then r = A. y B. 2 y C. 5 y D. 10 y E. 15 y 4. What is 35% of a number if 12 is 15% of a number? A. 5 B. 12 C. 28 D. 33 E. 62 5. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price? A. $1800 B. $1900 C. $2000 D. $2100 E. $2200 6. A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer? A. $29,250 B. $31,200 C. $32,500 D. $33,800 E. $33,999 7. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for? A. $24,200 B. $28,900 C. $35,600 D. $37,300 E. $39,200 8. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it? A. 0.8 days B. 1.09 days C. 1.23 days D. 1.65 days E. 1.97 days 9. Find 0.12 ÷12 A. 100 B. 10 C. 1 D. 0.01 E. 0.001 10. Divide x5 by x2 A. x25 B. x10 C. x7 D. x3 E. x2.5 11. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number? A. 0 B. 1 C. 2.33 D. -3 E. none of the above 12. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8 A. 2 B. 3 C. 4 D. 5 E. 6 13. In the fraction 3/x, x may not be substituted by which of the following sets? A. {1, 2, 4} B. {-2,-3,-4} C. {1, 3, 7} D. {0, 10, 20} E. {1.8, 4.3} 14. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need? A. She has enough sugar. B. She needs 1/8 of a cup of sugar. C. She needs 3/80 of a cup of sugar. D. She needs 4/19 of a cup of sugar. E. She needs 1/9 of a cup of sugar. 15. At a company fish fry, 1/2 in attendance are employees. Employees spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses? A. 10.5% B. 16.7% C. 25% D. 32.3% E. 38% 16. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology? A. 2.59 B. 2.86 C. 3.08 D. 3.33 E. 3.67 17. There are 8 ounces in a ? pound. How many ounces are in 7 3/4 lbs? A. 12 ounces B. 86 ounces C. 119 ounces D. 124 ounces E. 138 ounces 18. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change? A. increases by half B. decreases by half C. triples D. doubles E. remains the same 19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___ A. 1/10 B. 1/12 C. 1/14 D. 1/15 E. 1/16 20. Of the following units which would be more likely used to measure the amount of water in a bathtub? A. kilograms B. liters C. milliliters D. centigrams E. volts 21. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following? A. 5 1/16 inch highlighter B. 3 1/8 inch jewelry box C. 2 3/4 inch lipstick D. 2 3/16 inch staple remover E. 4 1/2 inch calculator 22. Which of the following fractions is the equivalent of 0.5%? A. 1/20 B. 1/200 C. 1/2000 D. 1/5 E. 1/500 23. In the graph below, no axes or origin is shown. If point B s coordinates are (10,3), which of the following coordinates would most likely be A s? A. (17, -2) B. (10, 6) C. (6, 8) D. (-10, 3) E. (-2, -17) 24. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day? A. $4.07 B. $3.57 C. $6.51 D. $2.93 E. $5.41 25. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies? A. degrees Celsius B. milliliters C. quarts D. kilograms E. cups 26. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best? A. 3 4/5 feet B. 3 2/3 feet C. 3 3/8 feet D. 3 1/4 feet E. 2 1/2 feet 27. After purchasing a flat screen television for $750, John realizes that he got a great deal on it and wishes to sell it for a 15% profit. What should his asking price be for the television? A. $800.30 B. $833.60 C. $842.35 D. $862.50 E. $970.25 28. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate? A. 150/x B. 150x C. 6x D. x/6 E. 1500x 29. If 6 is 24% of a number, what is 40% of the same number? A. 8 B. 10 C. 15 D. 20 E. 25 30. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make? A. $57 B. $90 C. $104 D. $112 E. $122 31. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month? A. 58% B. 119% C. 158% D. 175% E. 200% 32. If 8x + 5x + 2x + 4x = 114, the 5x + 3 = A. 12 B. 25 C. 33 D. 47 E. 86 33. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? A. 50 miles B. 100 miles C. 500 miles D. 700 miles E. 1,000 miles 34. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot? A. 0.9WL B. 0.3WL C. 0.1WL D. 9WL E. 3WL 35. Find 8.23 x 109 A. 0.00000000823 B. 0.000000823 C. 8.23 D. 8230000000 E. 823000000000 36. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday? A. 345 B. 1,035 C. 1,725 D. 3,105 E. 9,315 37. Which of the following has the least value? A. 0.27 B. 1/4 C. 3/8 D. 2/11 E. 11% SSAT数学题库（一） SSAT数学综合练习题 1 What is the perimeter of a rectangle with side lengths of 8 and 3? a. 6 b. 11 c, 16 d. 22 e. 25 2 The base angles of an isosceles triangle are: Perpendicular Congruent Complimentary Supplementary parallel 3 How many points are necessary to define a line? a. One b. Two c. Three d. Four e. Infinite 4 Two cars start from the same place two hours apart. The first car travels at 10 miles per hour and the second travels at 15 miles per hour. How many hours after the second car leaves does it take for the second car to catch up? a. 1 b. 2 c. 3 d. 4 e. 5 5 What interest rate is necessary to get $1000 in interest over 2 years on a $10000 investment? a. 4% b. 5% c. 6% d. 7% e. 8% 6 The sum of 14 consecutive integers is 217. What is the sixth number in the series? a. 13 b. 14 c. 15 d. 16 e. 17 7 Paul needs to be at a meeting in 20 minutes. If his office is 15 miles away, how fast does he need to drive to get there on time, in miles per hour? a. 15 b. 20 c. 30 d. 40 e. 45 8 The base angles of an isosceles triangle are: Perpendicular Congruent Complimentary Supplementary Parallel 9 If A $ B = A * B - ( A + B), what is 3 $ (2 $ 1)? A. -5 B. -3 C. 0 D. 1 E. 4 10 What is the average (arithmetic mean) of 4x + 5, 7x-6,and -8x+2? A. x + 1 B. x + 1/3 C. 3x + 1 D. 3x + 1/3 E. 3x + 3 1/3 11 In a classroom of 35 students, 14 our male. What percent of the classroom is male? A. 14% B. 20% C. 30% D. 40% E. 50% 12 If the area of a triangle is 24 and its base is 6, what is the length of the altitude to that base? A. 3 B. 6 C. 8 D. 10 E. unknown 13 If Jeff and Jimmy have less than 22 dollars between them, and Jeff has 8 dollars, which of the following could be the number of dollars that Jimmy has? Ⅰ12 Ⅱ14 Ⅲ16 A. I only B. III only C. I & III. D. I & II E. Neither I, II, nor III is correct. 14 Stephanie drove at an average rate of 50 miles per hour for two hours and then increased her average rate by 50% for the next 3 hours. Her average rate of speed for the 5 hours was t miles per hour. What is the value of t? A. 55 mph B. 60 mph C. 65 mph D. 70 mph E. 75 mph 15 If 1 alpha = 2 betas and 1 beta = 3 gammas, how many alphas are equal to 36 gammas? A. 6 B. 12 C. 36 D. 72 E. 108 16 At Joes Steakhouse the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $8.50 per hour, how much less than a manager does a chef earn each hour? A. $5.95 B. $4.25 C. $5.10 D. $3.25 E. $3.40 17 A florist buys roses at $0.50 a piece and sells them for $1.00 a piece. If there are no other expenses, how many roses must be sold in order to make a profit of $300? A. 100 B. 150 C. 200 D. 300 E. 600 18 A certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how many more minutes would it take to drain a full 600-gallon tank? A. 9 B. 15 C. 18 D. 24 E. 25 19 Lenny s average score after 3 tests is 88. What score on the 4th test would bring Lenny s average up to exactly 90? A. 92 B. 93 C. 94 D. 95 E. 96 20 If an integer is divisible by 6 and by 9, then the integer must be divisible by which of the following? A. 12 B. 18 C. 24 D. 36 E. 54 21 A certain machine can make 3 widgets every 2 seconds. At this rate, how many widgets will be made in 1 minute? A. 90 B. 110 C. 150 D. 180 E. 220 22 What is the average of the first 50 positive integers? A. 25 B. 25.5 C. 26 D. 26.5 E. 27 23 If ab is negative, which of the following CANNOT be negative? A. b-a B. a-b C. a2b D. ab2 E. a2b2 24 In a certain set of numbers, the ratio of integers to nonintegers is 1:4. What percent of the numbers in the set are integers? A. 20% B. 25% C. 40% D. 75% E. 80% 25 What is the smallest positive number that leaves a remainder of 2 when the number is divided by 3, 4, or 5? A. 42 B. 82 C. 22 D. 62 E. 122 26 Which is greater? Column A Column B 3-5+6-8-4+7 -2 A. the quantity in Column B is greater B. the relationship cannot be determined from the information given C. the quantity in Column A is greater D. the two quantities are equal 27 If a die is tossed twice the probability of getting a 3 on both tosses is: A. 1/4 B. 1/36 C. 1/12 D. 1/6 E. 1/25 28 An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost? A. $325 B. $375 C. $400 D. $408 E. $425 29 If y(x-1)=z then x= A. y-z B. z/y + 1 C. y(z-1) D. z(y-1) E. 1-zy 30 Which of the following values is NOT equal to 34(58+9)? A. 34 x 67 B. 58(34+9) C. 34 x 58 + 34 x 9 D. 1,972 + 306 E. (9 + 58) 34 31 Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle? A. 50° B. 55° C. 60° D. 80° E. 90° 32