A. 4 B. 6 C. 9 D. 15 E. 18

ATHS FC Math Department Al Ain SAT Practice Questionss Grade 12 core 1. If 3 and x and y are both integers, which of the following is equivalent to 9 3? A: B: 33 C: 3 D: 3 E: 33 2. If the average ( arithmetic mean) of x, 5x and 6x, is 8, what is the value of x? A. 4 B. 6 C. 9 D. 15 E. 18 3. If 49 and 10, which of the following represents the value of in terms of? A. B. C. D. E. 29 a 39 49 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 1

4. 4. If 3 4 12, what is the value of? A. 48 B. 36 C. 24 D. 12 E. 6 1 3 2 2 6 1 3 2 4 4 1 5 1 0 7 5. Let the functions, and be defined by the table above. If 3, what is the value of? A. 2 B. 1 C. 4 D. 5 E. 7 5 9 14 15 38 6. For which of the following values of will there be no solution to the system of equations given above? A. 27 B. 18 C. 0 D. 18 E. 27 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 2

7. When k is subtracted from 10, and the difference is divided by 2, the result is 3. What is the value of k? A. 2 B. 4 C. 6 D. 10 E. 14 8. Which of the following represents the statement the sum of the squares of x and y is equal to the square root of the difference of x and y? A. x y xy B. x y xy C. x y x y D. xyx y E. x y = x y 9. If x 0 and 3 x 3 x 7, what is the value of x? A. 3 B. 4 C. 2 D. 1 E. 0 10. If, What is the value of x? A. B. C. D. 0 E. 2 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 3

11. If a and b are odd integers, which of the following must also be an odd integer? I. ab II. (ab) 2 III. (a+b) 2 A. None B. I only C. II only D. III only E. I and II only 2x + 5y = 14 3x 5y = 11 12. In the solution to the system of equations above, what is the value of x? A. 5 B. 24 C. 14 D. 12 E. 48 13. Anny subscribed to four publications that cost $12.90, $16.00, $18.00, and $21.90 per year respectively. If she made an initial payment of one half of the total yearly subscription cost, and paid the rest in four equal monthly payments, how much was each of the four monthly payments? A. $ 7.50 B. $ 8.60 C. $ 9.20 D. $ 17.20 E. $ 34.40 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 4

14. When k is subtracted from 10, and the difference is divided by 2, the result is 3. What is the value of k? A. 2 B. 4 C. 6 D. 10 E. 5 15. If 16, which of the following could be the value of x? A. 4 B. 2 C. 2 D. 3 E. 5 16. If the average of 8 and x is 10 and the average of 7 and y is 11, what is the average of x and y? A. 9.0 B. 10.5 C. 12.0 D. 13.5 E. 15.0 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 5

3 4 2 2 11 17. In the solution to the system of equations above, what is the value of 2? A. 4 B. 5 C. 10 D. 7 E. 8 18. If 42410, what is the value of? A. 10 B. 5 C. 5 D. 10 E. 20 1 3 2 2 6 1 3 5 4 4 1 5 1 0 7 19. Let the functions, and be defined by the table above. If 1, what is the value of? A. 2 B. 1 C. 4 D. 5 E. 7 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 6

20. For all numbers and, let the operation be define by 2 and let operation be defined by 2. Which of the following must be true? A. B. C. s D. s E. s 2 3 6 3 3 9 21. In the solution to the system of equations above, what is the value of? A. 3 B. 4 C. 5 D. 6 E. 7 22. If 3 9 13, what is the value of 9? A. 3 B. 6 C. 9 D. 12 E. 15 23. If 12, and 4, then what is the value of? A. 1 B. C. 0 D. 3 E. 4 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 7

24. If 5, what is the value of? A. 3 B. C. D. 3 E. 4 25. If and, 2? A. 2.7 B. 3.7 C. 4.2 D. 5.4 E. 6.1 26. For all numbers x and y, let x y be defined as x y = 2. What is the value of (2 4) 8? A. 1 B. 4 C. 12 D. 16 E. 20 27. For which of the following values of is 25 equal to 5? A. 2 B. 1 C. D. E. ATHS FC Math Department Al Ain/ SAT Practice Questions Page 8

28. For all numbers and, let the operation be define by and let operation be defined by 2. Which of the following must be true? A. B. C. s 2 D. s 2 E. s 29. Mike charges a $100 fee, plus $20 per can of paint needed to complete the job. Which of the following expressions represents the painter charge, in dollars, after using cans? A. 100 B. 100 20 C. 20 100 D. 100 20 E. 102 30. If 3 a + 5 b + c = 20, b + c = 7, and c= 6, What is the value of a + b + c? A. 4 B. 8 C. 10 D. 12 E. 24 31. If f (3) 4 and f (4) 11 then which of the following could be f (x)? A. x + 1 B. 2 2 C. 3 1 D. x 2 1 E. x 2 5 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 9

32. x 22 36 then the value of x is A. 0 B. 14 C. 14 D. 196 E. 256 33. For which of the following values of is 49 equal to 7? A. B. C. 1 D. E. 2 34. If a b is a multiple of 5. which of the following must be a multiple of 5. A. B. C. a b 2 b a D. 2 E. b a 35. If the average of 3, 7, 10 and x is 7 what is the median of 3, 7, 10 and x. A. 5.5 B. 6 C. 6.5 D. 7 E. 7.5 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 10

36. If the function f is defined by A. 26 B. 27 C. 28 D. 29 E. 30 2 4 f ( x) x, for what value of x does f ( x) 18? 3 2 2 2 37. If a b 4 and ab = 5 what is the value of ( a b)? A. 10 B. 12 C. 14 D. 16 E. 18 ATHS FC Math Department Al Ain/ SAT Practice Questions Page 11