SAT Section 4 - Group 2

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SAT Section 4 - Group 2

This is the Practice SAT test Section 4.


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Questions and Answers
  • 1. 
    If x + k = 12 and p(x + k) = 36, what is the value of p ?
    • A. 

      3

    • B. 

      4

    • C. 

      6

    • D. 

      9

    • E. 

      12

  • 2. 
    If 13 is added to one-half of certain number the result is 37. What is the original number?
    • A. 

      24

    • B. 

      40

    • C. 

      48

    • D. 

      61

    • E. 

      80

  • 3. 
    • A. 

      4

    • B. 

      8

    • C. 

      10

    • D. 

      12

    • E. 

      18

  • 4. 
    Which of the following equations expresses y in terms of x for each of the four pairs of values shown in the table above?
    • A. 

      Y = 5x + 7.5

    • B. 

      Y = 5.5x + 2

    • C. 

      Y = 5.5x + 7.5

    • D. 

      Y = 7.5x

    • E. 

      Y = 7.5x + 5.5

  • 5. 
    In the figure above, point B lies on AC. If x and y are integers, which of the following is a possible value of x ?
    • A. 

      30

    • B. 

      35

    • C. 

      40

    • D. 

      50

    • E. 

      55

  • 6. 
    The least and greatest numbers in a list of 7 real numbers are 2 and 20, respectively. The median of the list is 6, and the number 3 occurs most often in the list. Which of the following could be the average (arithmetic mean) of the numbers in the list? I.7 II. 8.5 III. 10
    • A. 

      I only

    • B. 

      I and II only

    • C. 

      I and III only

    • D. 

      II and III only

    • E. 

      I, II, and III

  • 7. 
    In the xy-coordinate plane, how many points are a distance of 4 units from the origin?
    • A. 

      One

    • B. 

      Two

    • C. 

      Three

    • D. 

      Four

    • E. 

      More than four

  • 8. 
    The table above shows the number of consecutive nights that each of five families stayed at a certain hotel during a 14-night period. If the Liu family’s stay did not overlap with the Benton family’s stay, which of the 14 nights could be a night on which only one of the five families stayed at the hotel?
    • A. 

      The 3rd

    • B. 

      The 5th

    • C. 

      The 6th

    • D. 

      The 8th

    • E. 

      The 10th

  • 9. 
    If a cake is cut into thirds and each third is cut into fourths, how many pieces of cake are there?
  • 10. 
    If y= h/x, where h is a constant, and if y = 3 when x = 4, what does y equal when x = 6?
  • 11. 
    In the figure above, point B lies on side AC. If 55 < x < 60, what is one possible value of y ?
  • 12. 
    The price of a certain item was $10 in 1990 and it has gone up by $2 per year since 1990. If this trend continues, in what year will the price be $100 ?
  • 13. 
    The figure above shows the graph of a quadratic function in the xy-plane. Of all the points (x, y) on the graph, for what value of x is the value of y greatest?
  • 14. 
    The number n is a 2-digit number. When n is divided by 10, the remainder is 9, and when n is divided by 9, the remainder is 8. What is the value of n ?
  • 15. 
    The area of the figure above is 9/4. What is the perimeter of the figure?
  • 16. 
    If j is chosen at random form the set {4, 5, 6} and k is chosen at random form the set {10, 11, 12}, what is the probability that the product of j and k is divisible by 5?
  • 17. 
    Tom and Alison are both salespeople. Tom’s weekly compensation consists of $300 plus 20 percent of his sales. Alison’s weekly compensation consists of $200 plus 25 percent of her sales. If they both had the same amount of sales and the same compensation for a particular week, what was that compensation, in  dollars? (Disregard the dollar sign when gridding your answer.)
  • 18. 
    tx + 12y = -3 The equation above is the equation of a line in the xy-plane, and t is a constant. If the slope of the line is -10, what is the value of t?