SSAT数学练习题.pdf

SECTION 1 Time: 30 mins. 25 questions There are five possible answers given after each question. Use scrap paper to work out the answer to each question and then select your answer. 1. If 3/4 of a number is 36, then 2/3 of the same number is: a.) 12 b.) 16 c.) 18 d.) 24 e.) 32 2. Which of the following is NOT equal to a whole number? a.) 20 x 4/5 b.) 4 + 5 c.) 32/8 d.) 1/3 x 7 e.) 2.5 + 2.5 3. Talia has $140 in her bank account. If she spends $77, what percentage of her savings does she have left? a.) 22% b.) 32% c.) 45% d.) 50% e.) 84% 4. 0.32 x 36.1 = a.) 1.552 b.) 7.543 c.) 11.552 d.) 15.554 e.) 22.452 5. 12 1/2 x 2 3/4 = a.) 39 1/2 b.) 38 3/4 c.) 34 3/8 d.) 29 1/2 e.) 8 6. A fish tank has a volume of 1080 cm3. If the length measures 9 cm and the width measures 10 cm, then what is the measurement of the height? a.) 15 cm b.) 12 cm c.) 10 cm d.) 8 cm e.) 4 cm 7. What is measure of angle c? a = 112 b c a.) 24 b.) 34 c.) 40 d.) 60 e.) 68 8. A school has a 1 teacher for every 22 students. If the school has 352 students, how many teachers are at the school? a.) 8 b.) 12 c.) 16 d.) 20 e.) 230 9. A dress is on sale for $600. If this price is 75% of the regular price, then what was the regular price of the dress? a.) $200 b.) $400 c.) $750 d.) $800 e.) $1000 10. Sarah drives 75 miles per hour. How far will she drive in 5 hours and 20 minutes? a.) 275 miles b.) 300 miles c.) 325 miles d.) 400 miles e.) 450 miles 11. If 33 is 75% of x, what is x? a.) 11 b.) 44 c.) 50 d.) 55 e.) 66 12. Heather has a pudding recipe that will make enough pudding for 15 people. If she wants to make pudding for 60 people, by what percent must she increase each of the recipe ingredients? a.) 50% b.) 100% c.) 120% d.) 200% e.) 300% 13. It takes Kelly 5 hours to drive 500 km to her grandmothers house. If she makes the return trip in 4 hours and 20 minutes, how fast did she drive per hour on the way home? a.) 120 km/h b.) 115.5 km/h c.) 20 km/h d.) 15.5 km/h e.) 10 km/h 14. 5 cubed is the same as: a.) 5 x 5 b.) 5 x 5 x 5 x 5 c.) 15 d.) 125 e.) 525 15. A pool is being filled at a rate of 3L per minute. If it takes 50 minutes to fill the pool 1/4 full, how many liters will fill the entire pool? a.) 120 L b.) 300 L c.) 425 L d.) 600 L e.) 900 L 16. A school dance has a ratio of male students to female students to teachers of 3:2:1. If there are 252 people at the dance, about what percent of total dance attendees are male students? a.) 20% b.) 30% c.) 50% d.) 60% e.) 80% 17. 1/5(6 + 4)2 + 11 = a.) 19 b.) 22 c.) 31 d.) 55 e.) 76 18. A picture frame has a total area of 54cm2. If the picture inside of the frame only takes up 45 cm2, about what percent of the frame is empty? a.) 5% b.) 11% c.) 17% d.) 62% e.) 83% 19. Solve for x: x/r = t/y a.) r(t/y) b.) ty c.) r/t d.) ty/r e.) rt 20. If Eugene can read 140 pages a week, how long will it take him to read a book that is 620 pages long? a.) 4 weeks and 3 days b.) 4 weeks c.) 3 weeks and 5 days d.) 3 weeks and 3 days e.) 15 days 21. At Parkside Middle School, there are 150 boys and 180 girls. What is the ratio of the number of boys to the total number of students in the school? a.) 5:6 b.) 5:11 c.) 6:11 d.) 330 e.) 45% 22. What is the perimeter of a triangle whose sides are x, y and z if: x = 2y y = 4 z = x + y a.) 3y b.) 2y + x + 4 c.) 3y + 4x d.) 12 e.) 24 23. 363 is equal to: a.) 6 x 6 x 6 x 6 b.) 6 x 6 x 6 x 6 x 6 x 6 c.) 36 x 36 d.) 108 e.) 12364 24. (-12) x (-5) + 7 - 15 = a.) -75 b.) -58 c.) -19 d.) 45 e.) 52 25. A dance costs $1100 to organize and tickets are sold at $15 each. If x tickets are sold, how much profit will be made? a.) 15x b.) 15x + 1100 c.) 15x 1100 d.) 1100(15x) e.) 15000 STOP IF YOU FINISH BEFORE TIME IS CALLED, YOU MAY CHECK YOUR WORK ON THIS SECTION ONLY. DO NOT TURN TO ANY OTHER SECTION IN THE TEST. SECTION 4 Time: 30 mins. 25 questions There are five possible answers given after each question. Use scrap paper to work out the answer to each question and then select your answer. 1. Order from greatest to least: 3/4, 4/5, 6/7, 2/3 a.) 2/3, 3/4, 4/5, 6/7 b.) 2/3, 4/5, 3/4, 6/7 c.) 4/5, 3/4, 6/7, 2/3 d.) 4/5, 6/7, 3/4, 2/3 e.) 6/7, 4/5, 3/4, 2/3 2. The Least Common Multiple (LCM) of 6 and 12 is the same as the LCM of 3 and what number? a.) 2 b.) 4 c.) 8 d.) 10 e.) 14 3. List the prime numbers between 10 and 20. a.) 11, 13, 15 b.) 11, 15, 17 c.) 11, 13, 17, 19 d.) 11, 15, 17, 19 e.) 13, 15, 17, 19 4. 40% of a number is 15. What is the number? a.) 6 b.) 9 c.) 32 d.) 37.5 e.) 42 5. 418% = a.) 0.0418 b.) 0.418 c.) 4.18 d.) 41.8 e.) 418 6. 2/3 1/5 = _ a.) 2 3/5 b.) 3 c.) 3 1/3 d.) 5 e.) 5 1/2 7. Neil earns $725 for each painting he sells. If he sells 8 paintings and spends 25% of his earnings on more supplies, how much does he have left? a.) $3475 b.) $4050 c.) $4350 d.) $5680 e.) $6450 8. A recipe that makes 24 cookies calls for 3 eggs and 1 cup of flour. Rachel has 2 eggs and 1 cup of flour. How many cookies can she make? a.) 4 b.) 6 c.) 8 d.) 12 e.) 16 9. An equilateral triangle has a perimeter of 12 cm. What will be the perimeter of the same triangle if each side is decreased by 25 percent? a.) 4 cm b.) 8 cm c.) 9 cm d.) 15 cm e.) 27 cm 10. Edgar is training to run a marathon. Each day he runs 10 percent more than the last. He starts on day 1 running 2 km. At the end of day 3, how far has he run in total? a.) 3.22 km b.) 3.5 km c.) 4 km d.) 6 km e.) 6.42 km 11. Solve if y= 5 and x = 3. 2x + 3x +2y - 5 2 a.) 10 b.) 12 c.) 15 d.) 20 e.) 25 12. A snake sheds it skin every 0.75 years. How long does it take for a snake to shed its skin 8 times? a.) 26 months b.) 2 years and 8 months c.) 3 years and 2 months d.) 4 years e.) 6 years 13. Write an expression for the following problem: five more than half a number. a.) 5 + x b.) 5x/2 c.) 5 + 2/x d.) 5 + x/2 e.) 5 + 2x 14. An aquarium is 1/2 full. 20L of water is added and now it is 60 percent full. How many liters of water can the aquarium hold? a.) 50L b.) 100L c.) 120L d.) 200L e.) 500L 15. Rueben is participating in a scavenger hunt. The contest is 2 days long and at the end of the first day Rueben has 22 items. At the end of the contest Rueben has 28 items. What percent of Ruebens total items did he find on the first day? a.) 90% b.) 79% c.) 40% d.) 30% e.) 11% 16. A factory can make 1600 gadgets a day. If the factory has 16 employees, who work 8 hours a day, what is the average number of gadgets each employee makes per hour? a.) 12.5 b.) 23 c.) 34.5 d.) 50 e.) 100 17. x2 2y is equal to y2 + 1. What are possible values for x and y? a.) x = 5, y =12 b.) x = 4, y = 3 c.) x = 3, y = 5 d.) x = 1, y = 2 e.) x = -2, y = 0 18. Beth bought a pair of jeans on sale for $65.00. They were 35% off the original price. What was the original price of the jeans? a.) $100.00 b.) $120.00 c.) $150.00 d.) $185.00 e.) $200.00 19. A circle has a radius of 6 cm, and another circle has a radius of 3cm. What is the percent difference between the circumferences of the two circles? a.) 6% b.) 30% c.) 40% d.) 50% e.) 90% 20. At Tonys hot dog stand, half of Saturdays profits is equal to all the profits he makes on weekdays. The stand is not open on Sundays. If Tony makes x profits on Saturday, write an equation for the total profits Tony makes in an entire week. a.) x + x/2 b.) x/2 c.) 2x d.) 2x + e.) 3x + 1 21. 0.235 x 0.001 equals: a.) 0.000235 b.) 0.00235 c.) 0.0235 d.) 23 e.) 2350 22. t In the figure above, what is the number of degrees in angle t? a. 30 b. 45 c. 120 d. 135 e. 225 23. What is the sum of 456 rounded off to the nearest hundred and 935 rounded off to the nearest ten? a.) 1,391 b.) 1,400 c.) 1,430 d.) 1,440 e.) 1,510 24. Amy reads 18 books a year, Toby reads 32 and Robert reads 24. What is the ratio of books Amy read to the total number of books read by all three friends? a.) 3 : 11 b.) 6 : 17 c.) 9 : 37 d.) 18 : 74 e.) 27 : 222 25. 15% of 60% of 80 is? a.) 5.8 b.) 7.2 c.) 9 d.) 12.5 e.) 24 STOP IF YOU FINISH BEFORE TIME IS CALLED, YOU MAY CHECK YOUR WORK ON THIS SECTION ONLY. DO NOT TURN TO ANY OTHER SECTION IN THE TEST. ANSWER KEY: SSAT Upper Level Test SECTION 1: Quantitative I 1. e 2. d 3. c 4. c 5. c 6. b 7. b 8. c 9. d 10. d 11. b 12. e 13. a 14. d 15. d 16. c 17. c 18. c 19.