Placement Exam Compadre Academy

45 Questions

Settings
Please wait...
Academy Quizzes & Trivia

This quiz will aid in accurately placing students into math courses.


Questions and Answers
  • 1. 
    Simplify 5.2 + 12.6
    • A. 

      64.6

    • B. 

      21

    • C. 

      17.8

    • D. 

      13.12

  • 2. 
    Simplify
    • A. 

      3/16

    • B. 

      1/2

    • C. 

      4/12

    • D. 

      1/3

  • 3. 
    4 is a factor of 123.
    • A. 

      True

    • B. 

      False

  • 4. 
    4,852 divided by 4 is 1,213
    • A. 

      True

    • B. 

      False

  • 5. 
    What is the greatest common factor of 42 and 36?
    • A. 

      7

    • B. 

      6

    • C. 

      12

    • D. 

      1

  • 6. 
    From the following set of numbers, find the mean:  {1, 3, 5, 8, 3}
    • A. 

      5

    • B. 

      7

    • C. 

      2

    • D. 

      4

  • 7. 
    From the following set of numbers, find the range: {5, 10, 9, 11, 14, 12, 35}
    • A. 

      12

    • B. 

      30

    • C. 

      27

    • D. 

      22

  • 8. 
    John has 5 different shirts, 6 different pants, and 3 baseball caps. How many different outfits can he wear?
    • A. 

      30

    • B. 

      14

    • C. 

      90

    • D. 

      18

  • 9. 
     If a bag of marbles contains 2 red, 3 blue, and 7 green marbles what is the probability of pulling a red marble out of the bag? Reduce to the simplest form. 
    • A. 

      2/12

    • B. 

      7/12

    • C. 

      3/12

    • D. 

      1/6

  • 10. 
     Simplify:  -13(6)
    • A. 

      48

    • B. 

      -78

    • C. 

      78

    • D. 

      -19

  • 11. 
    Simplify: 2×3-(4)2+2(4-7)
    • A. 

      -16

    • B. 

      -42

    • C. 

      -22

    • D. 

      40

  • 12. 
     If x = 5, what is the value of 3x – 5?
    • A. 

      -10

    • B. 

      10

    • C. 

      15

    • D. 

      20

  • 13. 
    Which number is an integer?
    • A. 

      1/2

    • B. 

      2.345...

    • C. 

      0

    • D. 

      12.57

  • 14. 
     Name the property illustrated by this statement: a + (b+c) = (a+b) + c
    • A. 

      Commutative Property of Addition

    • B. 

      Associative Property of Addition

    • C. 

      Distributive Property

    • D. 

      Identity Property of Addition

  • 15. 
    Solve for x:         2x – 4 = 12
    • A. 

      X= 8

    • B. 

      X= 16

    • C. 

      X = 6

    • D. 

      X = 10

  • 16. 
    Solve for y:   2y – 4 = 4y + 6
    • A. 

      Y = 10

    • B. 

      Y = 0

    • C. 

      Y = -10

    • D. 

      Y = -5

  • 17. 
    Solve for x:  y=ax -b
    • A. 

      X = ay-b

    • B. 

      X = ay+b

    • C. 

      X = (y+b)/a

    • D. 

      X = (y-b)/a

  • 18. 
    Which equation describes the line containing the points (6,-8) and (4,-2)?
    • A. 

      Y = -3x - 18

    • B. 

      Y = -3x +10

    • C. 

      Y=5x - 38

    • D. 

      Y=3x - 10

  • 19. 
    Write the equation of the line that is perpendicular to y = 1/3x - 2 and passes through the point (3, -6)
    • A. 

      Y = 1/3x - 6

    • B. 

      Y = 1/3x - 7

    • C. 

      Y = -3x - 6

    • D. 

      Y = -3x + 3

  • 20. 
    Solve the system of equations: x = 4y + 1 2x + 2y = 12
    • A. 

      (2,4)

    • B. 

      (5,1)

    • C. 

      (1,4)

    • D. 

      (10,2)

  • 21. 
    Simplify:   (2x2y5)(-4xy2) NOTE: Your answer will be reflected as x^n which is the same as xn
    • A. 

      -8x^3y^7

    • B. 

      8x^2y^7

    • C. 

      -8xy^3

    • D. 

      6x^10y^5

  • 22. 
    Solve for x
    • A. 

      X = -15

    • B. 

      X = 1

    • C. 

      X = -1

    • D. 

      X = 15

  • 23. 
    State the coordinates of the vertex from the graph and whether it is a maximum or a minimum.
    • A. 

      (-1,3) is the minimum

    • B. 

      (-1,3) is the maximum

    • C. 

      (3, -1) is the minimum

    • D. 

      (3, -1) is the maximum

  • 24. 
    Factor the following polynomial x2 - 5x + 6
    • A. 

      (x-2)(x+2)

    • B. 

      (x-3)(x-2)

    • C. 

      (x+1)(x+6)

    • D. 

      (x-1)(x-6)

  • 25. 
    Write the slope-intercept form of the equation of this line:
    • A. 

      Y = 3x - 3

    • B. 

      Y = 3x + 3

    • C. 

      Y = -3x - 3

    • D. 

      Y = -3x + 3

  • 26. 
    If the measure of two angles of a triangle are 51 and 61 degrees. What is the measure of the third angle?
    • A. 

      68 degrees

    • B. 

      42 degrees

    • C. 

      65 degrees

    • D. 

      44 degrees

  • 27. 
    If ABC is reflected over the y-axis, what are the coordinates of C?
    • A. 

      (-5, 1)

    • B. 

      (2, 1)

    • C. 

      (-2, -1)

    • D. 

      (5, -1)

  • 28. 
    Find the volume of the shape below:
    • A. 

      20 Units Cubed

    • B. 

      250 Units Cubed

    • C. 

      280 Units Cubed

    • D. 

      70 Units Cubed

  • 29. 
    What is the area of the given shape?
    • A. 

      6Pi

    • B. 

      12Pi

    • C. 

      3Pi

    • D. 

      36Pi

  • 30. 
    Use the Pythagorean Theorem to find the value of x.
    • A. 

      10

    • B. 

      12

    • C. 

      8

    • D. 

      5

  • 31. 
    What is the distance between (5, 4) and (8, 8)?
    • A. 

      12

    • B. 

      5

    • C. 

      6

    • D. 

      -12

  • 32. 
    From the graph, what type of correlation exists for the given data?
    • A. 

      No Correlation

    • B. 

      Positive Correlation

    • C. 

      Zero Correlation

    • D. 

      Negative Correlation

  • 33. 
    If l is parallel to m find measure of angle 2.
    • A. 

      74

    • B. 

      106

    • C. 

      16

    • D. 

      36

  • 34. 
    Find the area of the following figure.
    • A. 

      10 square meters

    • B. 

      14 square meters

    • C. 

      20 square meters

    • D. 

      8 square meters

  • 35. 
    What postulate states that the two triangles below are congruent?
    • A. 

      Side-Side-Side

    • B. 

      Angle-Side-Angle

    • C. 

      Side-Angle-Side

    • D. 

      Angle-Angle-Side

  • 36. 
    Find the measure of  < ACB
    • A. 

      56 degrees

    • B. 

      112 degrees

    • C. 

      72 degrees

    • D. 

      62 degrees

  • 37. 
    Solve for x.
    • A. 

      15

    • B. 

      45

    • C. 

      30

    • D. 

      27

  • 38. 
    Mark walked 15 blocks South and 8 blocks East to the store. How many blocks would he have travled by walking directly to the store?
    • A. 

      12

    • B. 

      17

    • C. 

      23

    • D. 

      14

  • 39. 
    Find the surface area of this right cylinder.
    • A. 

      14Pi

    • B. 

      40Pi

    • C. 

      112Pi

    • D. 

      96Pi

  • 40. 
    Find the circumference of a circle with diameter 7.
    • A. 

      7Pi units

    • B. 

      14Pi units

    • C. 

      49Pi units

    • D. 

      3.5Pi units

  • 41. 
    Give the special angle pair name for angles 2 and 6.
    • A. 

      Alternate Interior angles

    • B. 

      Corresponding angles

    • C. 

      Same Side Interior angles

    • D. 

      Vertical Angles

  • 42. 
    Convert the following to degrees
    • A. 

      45 degrees

    • B. 

      112 degrees

    • C. 

      120 degrees

    • D. 

      90 degrees

  • 43. 
    Find
    • A. 

      1/2

    • B. 

      2/3

    • C. 

      2

    • D. 

      1.4

  • 44. 
    Find the real roots of
    • A. 

      -8, 2

    • B. 

      -4, 4

    • C. 

      -4, -4

    • D. 

      2, 8

  • 45. 
    Simplify (2+3i)(2-3i)
    • A. 

      4- 9i

    • B. 

      13

    • C. 

      4+9i

    • D. 

      21