SAT Section 7 - Group 5

16 Questions
SAT Section 7 - Group 5

As we look into some more SAT-level examination quizzes, we focus our attention on mathematics. Test your skills with algebra, curves, pi, quadratic equations, powers and more! Think you can pass? Let’s find out today!

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Questions and Answers
  • 1. 
    If (1/3)y + 9 = 0, then y =
    • A. 

      -27

    • B. 

      -9

    • C. 

      -3

    • D. 

      3

    • E. 

      27

  • 2. 
    In the figure above, P, Q, and R lie on the same line. P is the center of the larger circle, and Q is the center of the smaller circle. If the radius of the larger circle is 4, what is the radius of the smaller circle?
    • A. 

      1

    • B. 

      2

    • C. 

      4

    • D. 

      8

    • E. 

      16

  • 3. 
    Roy planted corn on 1/5 of his land. If he planted 45 acres of corn, how many acres of land does he have?
    • A. 

      90

    • B. 

      112 1/2

    • C. 

      135

    • D. 

      225

    • E. 

      337 1/2

  • 4. 
    • A. 

      Add 4 to the preceding number.

    • B. 

      Take 1/2 of the preceding number and then add 7 to that result.

    • C. 

      Double the preceding number and then subtract 2 from that result.

    • D. 

      Subtract 2 from the preceding number and then double that result.

    • E. 

      Triple the preceding number and then subtract 8 from that result.

  • 5. 
    The two semicircles in the figure above have centers R and S, respectively. If RS = 12, what is the total length of the darkened curve?
    • A. 

    • B. 

    • C. 

      12π

    • D. 

      15π

    • E. 

      16π

  • 6. 
    If h and k are positive numbers and h + k = 7, then (7 - k)/h =
    • A. 

      1

    • B. 

      0

    • C. 

      -1

    • D. 

      H

    • E. 

      K - 1

  • 7. 
    • A. 

      200

    • B. 

      3,600

    • C. 

      5,000

    • D. 

      8,000

    • E. 

      950,000,000

  • 8. 
    If x2 = x + 6, which of the following must be true?
    • A. 

      X = 6

    • B. 

      X< 3

    • C. 

      X > 0

    • D. 

      X^2 < x

    • E. 

      X^2 > x

  • 9. 
    Let the functions f be defined by f(x) = 5x - 2a, where a is a constant. If f(10) + f(5) = 55, what is the value of a?
    • A. 

      -5

    • B. 

      0

    • C. 

      5

    • D. 

      10

    • E. 

      20

  • 10. 
    A number is called “even-odd” if it is halfway between an even integer and an odd integer. If x is an even-odd number, which of the following must be true? I. 2x is an integer. II. 2x is even-odd. III. x is halfway between two even integers.
    • A. 

      I only

    • B. 

      II only

    • C. 

      I and II only

    • D. 

      II and III only

    • E. 

      I, II, and III

  • 11. 
    If m is a positive integer, which of the following is NOT equal to (24)m ?
    • A. 

      2^(4m)

    • B. 

      4^(2m)

    • C. 

      2^m(2^(3m))

    • D. 

      4^m(2^m)

    • E. 

      16^m

  • 12. 
    In the figure above, l || m. Which of the following must equal 180?
    • A. 

      K + n + r

    • B. 

      K + p + s

    • C. 

      N + p + s

    • D. 

      P + n + t

    • E. 

      R + s + t

  • 13. 
    How many different ordered pairs (x, y) are there such that x is an even integer, where 4 ≤ x ≤ 10, and y is an integer, where 4 < y < 10 ?
    • A. 

      8

    • B. 

      12

    • C. 

      20

    • D. 

      30

    • E. 

      36

  • 14. 
    N(t) = 500(0.81)t The function above can be used to model the population of a certain endangered species of animal. If n(t) gives the number of the species living t decades after the year 1900, which of the following is true about the population of the species from 1900 to 1920 ?
    • A. 

      It increased by about 1,000.

    • B. 

      It increased by about 320.

    • C. 

      It decreased by about 180.

    • D. 

      It decreased by about 320.

    • E. 

      It decreased by about 1,000.

  • 15. 
    A sphere of radius r inside a cube touches each one of the six sides of the cube. What is the volume of the cube, in terms of r ?
    • A. 

      R^3

    • B. 

      2r^3

    • C. 

      4r^3

    • D. 

      (4/3)r^3

    • E. 

      8r^3

  • 16. 
    According to the graph above, in which year was the ratio of the number of students enrolled at School B  to the number of students enrolled at School A the greatest?
    • A. 

      1990

    • B. 

      1991

    • C. 

      1992

    • D. 

      1993

    • E. 

      1994