SSAT数学练习题测试讲解.pdf

SSAT 数学练习题 1 1 What is the perimeter of a rectangle with side lengths of 8 and 3 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 2 ThThe base angles of an isosceles triangle are e base angles of an isosceles triangle are Perpendicular Congruent Complimentary Supplementary parallel 3 3 How many points are necessary to define a line How many points are necessary to define a line a One b Two c Three d Four e Infinite 4 4 Two cars start from the same place tTwo cars start from the same place two hours apart The first car travels at 10 miles wo 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 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 car leaves does it take for the second car to catch up a 1 b 2 c 3 d 4 e 5 5 5 What interest What interest rate is necessary to get 1000 in interest over 2 years on a 10000 rate is necessary to get 1000 in interest over 2 years on a 10000 investment investment a 4 b 5 c 6 d 7 e 8 6 6 The sum of 14 consecutive integers is 217 What is the sixth number in the series 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 7 Paul needs to be at a meeting in 20 minutes If his office is 15 miles away how fast 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 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 8 The base angles of an isosceles triangThe base angles of an isosceles triangle are le are Perpendicular Congruent Complimentary Supplementary Parallel 9 9 If A B A B If A B A B A B what is 3 2 1 A B what is 3 2 1 A 5 B 3 C 0 D 1 E 4 10 10 What is the average arithmetic mean of 4x 5 7xWhat is the average arithmetic mean of 4x 5 7x 6 and 6 and 8x 2 8x 2 A x 1 B x 1 3 C 3x 1 D 3x 1 3 E 3x 3 1 3 11 11 In a classroom of 35 students 14 our male What percent of the classroom is male 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 12 If the area of a triangle is 24 and its base is 6 what iIf the area of a triangle is 24 and its base is 6 what is the length of the altitude to that s the length of the altitude to that base base A 3 B 6 C 8 D 10 E unknown 1313 If Jeff and Jimmy have less than 22 dollars between them and Jeff has 8 dollars 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 which of the following could be the number of dollars that Jimmy has 12 14 16 A I only B III only C I III D I II E Neither I II nor III is correct 1414 Stephanie drove at an average rate of 50 miles per hour for two hours and then 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 speedincreased her average rate by 50 for the next 3 hours Her average rate of speed for for the 5 hours was t miles per hour What is the value of t 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 1515 If 1 alpha 2 betas and 1 beta 3 gammas how many alphas are equal to 36 If 1 alpha 2 betas and 1 beta 3 gammas how many alphas are equal to 36 gammas gammas A 6 B 12 C 36 D 72 E 108 1616 At Joes Steakhouse the hourly wage for a chef is 20 greater than that of a 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 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 manager If a managers wage is 8 50 per hour how much less than a manager does a chea chef earn each hour f earn each hour A 5 95 B 4 25 C 5 10 D 3 25 E 3 40 1717 A florist buys roses at 0 50 a piece and sells them for 1 00 a piece If there are no 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 profitother expenses how many roses must be sold in order to make a profit of 300 of 300 A 100 B 150 C 200 D 300 E 600 1818 A certain pump can drain a full 375A certain pump can drain a full 375 gallon tank in 15 minutes At this rate how many gallon tank in 15 minutes At this rate how many more minutes would it take to drain a full 600more minutes would it take to drain a full 600 gallon tank gallon tank A 9 B 15 C 18 D 24 E 25 19 19 Lenny s average score after 3 tests is 88 What score on the 4th test would bring Lenny s average score after 3 tests is 88 What score on the 4th test would bring Lenny s average up to exactly 90 Lenny s average up to exactly 90 A 92 B 93 C 94 D 95 E 96 20 20 If an integer is divisible by 6 and by 9 then the iIf an integer is divisible by 6 and by 9 then the integer must be divisible by which of nteger must be divisible by which of the following the following A 12 B 18 C 24 D 36 E 54 21 21 A certain machine can make 3 widgets every 2 seconds At this rate how many A certain machine can make 3 widgets every 2 seconds At this rate how many widgets will be made in 1 minute widgets will be made in 1 minute A 90 B 110 C 150 D 180 E 220 2222 What is the average of the first 50 positive integers What is the average of the first 50 positive integers A 25 B 25 5 C 26 D 26 5 E 27 2 23 3 If ab is negative which of the following CANNOT be negative If ab is negative which of the following CANNOT be negative A b a B a b C a2b D ab2 E a2b2 2424 In a certain set of numbers the ratio of integers to nonintegers is 1 4 What percent 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 of the numbers in the set are integers A 20 B 25 C 40 D 75 E 80 25 25 What is the smallest positive numbeWhat is the smallest positive number that leaves a remainder of 2 when the number r that leaves a remainder of 2 when the number is divided by 3 4 or 5 is divided by 3 4 or 5 A 42 B 82 C 22 D 62 E 122 26 26 Which is greater Which is greater Column AColumn A Column BColumn B 3 3 5 65 6 8 8 4 74 7 2 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 27 If a die is tossed twice the probability of getting a 3 on both tosses is 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 2828 An instrument store gives a 10 discount to all students off the original costAn instrument store gives a 10 discount to all students off the original cost of anof an instrument During a back to school sale an additional 15 is taken offinstrument During a back to school sale an additional 15 is taken off the discountedthe discounted price Julie a student at the local high sprice Julie a student at the local high school purchases achool purchases a flute for 306 How much didflute for 306 How much did it it originally cost originally cost A 325 B 375 C 400 D 408 E 425 2 29 9 If y xIf y x 1 z then x 1 z then x A y z B z y 1 C y z 1 D z y 1 E 1 zy 3 30 0 Which of the followingWhich of the following values is NOT equal to 34 58 9 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 3131 Two angles of a triangle measure 15 and 85 What is the measure for theTwo angles of a triangle measure 15 and 85 What is the measure for the third angle third angle A 50 B 55 C 60 D 80 E 90 3232 If 5 ounces is equal to 140 grams then 2 pounds of ground meat is equal toIf 5 ounces is equal to 140 grams then 2 pounds of ground meat is equal to how many grams how many grams A 863 B 878 C 896 D 915 E 932 3333 Which year did the most children take swimming lessons Which year did the most children take swimming lessons A 1990 B 1991 C 1992 D 1994 E 1995 3434 Between which year did the largest decrease in children taking swimmingBetween which year did the largest decrease in children taking swimming lessons occur lessons occur A 1990 1991 B 1991 1992 C 1992 1993 D 1993 1994 E 1994 1995 3535 What was the average number of children taking swim lessons from 1990 to 1995 What was the average number of children taking swim lessons from 1990 to 1995 A 250 B 308 C 385 D 450 E 1 850 3636 Which of the following is equal to 5 93 x 10Which of the following is equal to 5 93 x 10 2 2 A 0 0593 B 0 00593 C 593 D 5930 E 59300 3737 On a Map 1 inch represents 20 miles The distance between 2 towns is 6 1 5On a Map 1 inch represents 20 miles The distance between 2 towns is 6 1 5 inches Howinches How manymany miles are actually between the two towns miles are actually between the two towns A 65 miles B 84 miles C 124 miles D 138 miles E 145 miles 38 38 How many cubed pieces of How many cubed pieces of fudge that are 3 inches on an edge can be packed intofudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high witha Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed the lid still being able to be closed A 18 B 24 C 32 D 36 E 43 3939 Sarah is twSarah is twice as old as her youngest brother If the difference between theirice as old as her youngest brother If the difference between their ages is 15 years How old is her youngest brother ages is 15 years How old is her youngest brother A 10 B 15 C 20 D 25 E 30 4040 Which of the following fractions is equal to 5 6 Which of the following fractions is equal to 5 6 A 20 30 B 15 24 C 25 30 D 40 54 E 2 7 4 41 1 What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet longWhat will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost 8 91 per square yard if the tile cost 8 91 per square yard A 224 51 B 237 60 C 246 55 D 271 38 E 282 32 4242 In a writing competition the first place winner receives of the prizeIn a writing competition the first place winner receives of the prize money The second runner up receives of what the winner won What was themoney The second runner up receives of what the winner won What was the total amount of prize money distributed if the winner receives 6 000 total amount of prize money distributed if the winner receives 6 000 A 6 000 B 8 500 C 1