SAT Mathematics Practice Test 1

38 Questions

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SAT Mathematics Practice Test 1

Questions and Answers
  • 1. 
    If x, y and z are three consecutive odd integers such that 10< x < y < z< 20 and if y and z are prime numbers, what is the value of x + y?
    • A. 

      24

    • B. 

      27

    • C. 

      19

    • D. 

      32

    • E. 

      15

  • 2. 
    If p > 0, which of the following is equal to √48p3
    • A. 

      4p√3p

    • B. 

      3p√4p

    • C. 

      2√12p

    • D. 

      3√8p

    • E. 

      16p√3p

  • 3. 
    If 40% of x is equal to 30% of y, what % is x of y?
    • A. 

      50%

    • B. 

      75%

    • C. 

      175%

    • D. 

      20%

    • E. 

      40%

  • 4. 
    If 4(3x - 3) = 24, what is 5x - 5?
    • A. 

      10

    • B. 

      6

    • C. 

      24

    • D. 

      3

    • E. 

      4

  • 5. 
    The average of 11 numbers is 21 . The average of seven of those numbers is 25. What is the average of the remaining four numbers?
    • A. 

      4

    • B. 

      12

    • C. 

      14

    • D. 

      21

    • E. 

      25

  • 6. 
    Which of the following is equivalent to 6x 2 + x - 12 ?
    • A. 

      (2x + 3)(3x - 4)

    • B. 

      (2x - 3)(3x - 4)

    • C. 

      (2x + 3)(3x + 4)

    • D. 

      (6x + 3)(x - 12)

    • E. 

      (x + 3)(2x - 12)

  • 7. 
    • A. 

      81

    • B. 

      40

    • C. 

      72

    • D. 

      9

    • E. 

      18

  • 8. 
    If 2 dots are equal to 3 dashes and 5 dashes equal to 7 stars, what is the ratio of one dot to one star?
    • A. 

      10 ⁄ 21

    • B. 

      3 ⁄ 5

    • C. 

      5 ⁄ 3

    • D. 

      21 ⁄ 10

    • E. 

      2 ⁄ 3

  • 9. 
    A social welfare organization spends 40% of the funds collected towards old-age homes. If during an year 1.6 million dollars was spent on old-age homes, what is the total amount of funds collected in millions of dollars?
    • A. 

      4.0

    • B. 

      6.0

    • C. 

      4.6

    • D. 

      40.0

    • E. 

      1.6

  • 10. 
    In the given figure, Note: Figure not drawn to scale.
    • A. 

      130 degrees

    • B. 

      90 degrees

    • C. 

      100 degrees

    • D. 

      30 degrees

    • E. 

      160 degrees

  • 11. 
    Solve for x: 
    • A. 

      12 < x < 13

    • B. 

      -12 < x < -13

    • C. 

      -5 < x < -5

    • D. 

      -25 < x < 25

    • E. 

      -12 < x < 13

  • 12. 
    A car travels a distance of 250 miles, 700 miles and 325 miles at the rate of 50 miles/hr, 35 miles/hr and 13 miles/hr respectively.Find the average speed of the car in miles/hr.
    • A. 

      30

    • B. 

      25.5

    • C. 

      42.5

    • D. 

      13

    • E. 

      50

  • 13. 
    • A. 

      9

    • B. 

      7

    • C. 

      5

    • D. 

      8

    • E. 

      11

  • 14. 
    In a class of 30 students, 14 take tea and 20 take coffee. How many take both tea and coffee?
    • A. 

      16

    • B. 

      10

    • C. 

      14

    • D. 

      30

    • E. 

      4

  • 15. 
    • A. 

      25 square units

    • B. 

      30 square units

    • C. 

      36 square units

    • D. 

      20 square units

    • E. 

      15 square units

  • 16. 
    • A. 

      45

    • B. 

      17

    • C. 

      64

    • D. 

      34

    • E. 

      10

  • 17. 
    In a store  
    • A. 

      15

    • B. 

      24

    • C. 

      150

    • D. 

      100

    • E. 

      240

  • 18. 
    Each month for 6 months the price of a commodity is doubled. At the end of the 6 months the price of the commodity is $640. What was the price of the commodity at the end of 3 months?
    • A. 

      $100

    • B. 

      $120

    • C. 

      $80

    • D. 

      $320

    • E. 

      $160

  • 19. 
    Alda can complete a test in  .
    • A. 

      N

    • B. 

      Ab

    • C. 

      Nab

    • D. 

      A

    • E. 

      B

  • 20. 
    An operation * is defined as follows: For any two positive numbers x and y,
    • A. 

      11 * 4

    • B. 

      4 * 9

    • C. 

      4 * 16

    • D. 

      7 * 4

    • E. 

      9 * 9

  • 21. 
    • A. 

      A. x = 0

    • B. 

      B. y = 0

    • C. 

      C. x > 0 and y < 0

    • D. 

      D. x < 0 and y > 0

    • E. 

      E. x > 0 and y > 0

  • 22. 
    In the given figure, EB is perpendicular to FC, and AD and EB intersect at point F. What is the value of  Note: Figure not drawn to scale.  
    • A. 

      A. 50 degrees

    • B. 

      B. 40 degrees

    • C. 

      C. 100 degrees

    • D. 

      D. 90 degrees

    • E. 

      E. 180 degrees

  • 23. 
    At what point will 12x2 + 5x + 1 attain the minimum value?
    • A. 

      A. 5 ⁄ 24

    • B. 

      B. -5 ⁄ 24

    • C. 

      C. 15 ⁄ 8

    • D. 

      D. 24 ⁄ 5

    • E. 

      E. 8 ⁄ 1

  • 24. 
    • A. 

      A. x + y

    • B. 

      B. x - y

    • C. 

      C. x + y + 1

    • D. 

      D. xy

    • E. 

      E. xy + 3

  • 25. 
    How many positive integers less than 80 are equal to the product of a positive multiple of 5 and an even number?
    • A. 

      A. 3

    • B. 

      B. 5

    • C. 

      C. 15

    • D. 

      D. 9

    • E. 

      E. 7

  • 26. 
    Find the equation of the line through (2, 3) perpendicular to 4x - 3y=10.
    • A. 

      A. 4x - 3y = 18

    • B. 

      B. 4x - 3y = -18

    • C. 

      C. 3x + 4y = -18

    • D. 

      D. 3x + 4y = 18

    • E. 

      E. 4x + 3y = 18

  • 27. 
    A wire bent in the form of a circle of radius 21units is cut and bent to form a square. What is the ratio of area of circle to that of the square?
    • A. 

      A. 11:15

    • B. 

      B. 11:14

    • C. 

      C. 15:11

    • D. 

      D. 21:22

    • E. 

      E. 14:11

  • 28. 
    If a function f(x) is defined by
    • A. 

      A. x + 1

    • B. 

      B. x

    • C. 

      C. x - 1

    • D. 

      D. x + 3

    • E. 

      E. x - 3

  • 29. 
    A jar contains 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red?
    • A. 

      A. 30

    • B. 

      B. 25

    • C. 

      C. 35

    • D. 

      D. 27

    • E. 

      E. 125

  • 30. 
    A shopkeeper has three kinds of rice of 77 pounds, 147 pounds and 252 pounds. Find the least number of bags of equal size required to pack them without mixing.
    • A. 

      A. 68

    • B. 

      B. 46

    • C. 

      C. 88

    • D. 

      D. 36

    • E. 

      E. 6

  • 31. 
    A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4, 8 and 16, what is the surface area of the cube?  
    • A. 

      A. 176

    • B. 

      B. 392

    • C. 

      C. 284

    • D. 

      D. 388

    • E. 

      E. 384

  • 32. 
    Twenty persons, among whom A and B, sit at random around a round table. Find the probability that there are any 6 persons between A and B.  
    • A. 

      A. 2/17

    • B. 

      B. 2/19

    • C. 

      C. 2/15

    • D. 

      D. 3/19

    • E. 

      E. 5/19

  • 33. 
    In the given figure, AB is parallel to CD.
    • A. 

      A. 99

    • B. 

      B. 97

    • C. 

      C. 93

    • D. 

      D. 91

    • E. 

      E. 89

  • 34. 
    The flowers in a basket become double after every minute. In one hour, the basket becomes full. After how many minutes the basket would be half filled?  
    • A. 

      A. 59

    • B. 

      B. 19

    • C. 

      C. 36

    • D. 

      D. 26

    • E. 

      E. 63

  • 35. 
    In the given figure,  
    • A. 

      A. 150

    • B. 

      B. 120

    • C. 

      C. 115

    • D. 

      D. 125

    • E. 

      E. 130

  • 36. 
    A person had 72 mangoes, he had given them to three persons A, B and C, in such a manner that A got thrice as many as B, and the sum total of mangoes A and B got was 60. He had given the remaining mangoes to C. Express in decimal the fraction of mangoes C got out of the total.  
    • A. 

      A. 0.267

    • B. 

      B. 0.347

    • C. 

      C. 0.159

    • D. 

      D. 0.359

    • E. 

      E. 0.167

  • 37. 
    What will be the value of x, if 8x+2 = 24x-3?  
    • A. 

      A. 0.9

    • B. 

      B. 1.9

    • C. 

      C. 18

    • D. 

      D. 9

    • E. 

      E. 11

  • 38. 
    A monkey climbs a slippery pole by thrusts. The pole is 30 feet high. With every thrust, it goes up 5 feet in 5 seconds and slips down 3 feet in 1 second. How many seconds will it take to climb the pole?  
    • A. 

      A. 74

    • B. 

      B. 82

    • C. 

      C. 94

    • D. 

      D. 78

    • E. 

      E. 92