# SAT Subject Test Math Level 2: Full-Length Practice Test 2 Part A

### Test Information

25 questions

30 minutes

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1. The slope of a line perpendicular to the line whose equation is

A. -3
B.
C.
D.
E.

2. What is the range of the data set 8, 12, 12, 15, 18?

A. 10
B. 12
C. 13
D. 15
E. 18

3. If , for what value(s) of x does the graph of y = f(x) have a vertical asymptote?

A. -7
B. 0
C. -7,0,7
D. -7,7
E. 7

4. If and g(x) = x2 + 1, then f(g(2)) =

A. 2.24
B. 3
C. 3.61
D. 6
E. 6.16

5.

A. -0.25
B. -0.16
C. 0.16
D. 6.35
E. The value is not a real number.

6. The circumference of circle x2 + y2 - 10y - 36 = 0 is

A. 38
B. 49
C. 54
D. 125
E. 192

7. Twenty-five percent of a group of unrelated students are only children. The students are asked one at a time whether they are only children. What is the probability that the 5th student asked is the first only child?

A. 0.00098
B. 0.08
C. 0.24
D. 0.25
E. 0.5

8. If f(x) = 2 for all real numbers x, then f(x + 2) =

A. 0
B. 2
C. 4
D. x
E. The value cannot be determined.

9. The volume of the region between two concentric spheres of radii 2 and 5 is

A. 28
B. 66
C. 113
D. 368
E. 490

10. If a, b, and c are real numbers and if then a could equal

A.
B.
C. 9
D. 3
E. 9b6

11. In right triangle ABC, AB = 10, BC = 8, AC = 6. The sine of A is

A.
B.
C.
D.
E.

12. If 16x = 4 and 5x+y = 625, then y =

A. 1
B. 2
C.
D. 5
E.

13. If the parameter is eliminated from the equations x = t2 + 1 and y = 2t , then the relation between x and y is

A. y = x - 1
B. y = 1 - x
C. y2 = x - 1
D. y2 = (x - 1)2
E. y2 = 4x - 4

14. Let f(x) be a polynomial function: f(x) = x5 + ? ? ? . If f(1) = 0 and f(2) = 0, then f(x) is divisible by

A. x - 3
B. x2 - 2
C. x2 + 2
D. x2 - 3x + 2
E. x2 + 3x + 2

15. If x - y = 2, y - z = 4, and x - y - z = -3, then y =

A. 1
B. 5
C. 9
D. 11
E. 13

16. If z > 0, a = z cos, and b = z sin, then =

A. 1
B. z
C. 2z
D. z cos sin
E. z (cos + sin

17. If the vertices of a triangle are (u,0), (v,8), and (0,0), then the area of the triangle is

A. 4|u |
B. 2|v |
C. |uv |
D. 2|uv |
E. |uv |

18. If what must the value of k be in order for f(x) to be a continuous function?

A. -2
B. 0
C. 2
D. 5
E. No value of k will make f(x) a continuous function.

19. What is the probability that a prime number is less than 7, given that it is less than 13?

A.
B.
C.
D.
E.

20. The ellipse 4x2 + 8y2 = 64 and the circle x2 + y2 = 9 intersect at points where the y -coordinate is

A. ±
B. ±
C. ±
D. ±
E. ± 10.00

21. Each term of a sequence, after the first, is inversely proportional to the term preceding it. If the first two terms are 2 and 6, what is the twelfth term?

A. 2
B. 6
C. 46
D. 2 · 311
E. The twelfth term cannot be determined.

22. A company offers you the use of its computer for a fee. Plan A costs \$6 to join and then \$9 per hour to use the computer. Plan B costs \$25 to join and then \$2.25 per hour to use the computer. After how many minutes of use would the cost of plan A be the same as the cost of plan B?

A. 18,052
B. 173
C. 169
D. 165
E. 157

23. If the probability that the Giants will win the NFC championship is p and if the probability that the Raiders will win the AFC championship is q , what is the probability that only one of these teams will win its respective championship?

A. pq
B. p + q -2pq
C. |p - q|
D. 1 - pq
E. 2pq - p - q

24. If a geometric sequence begins with the terms , 1, ? ? ? , what is the sum of the first 10 terms?

A. 9841
B. 6561
C. 3280
D. 33
E. 6

25. The value of is

A. greater than 10100
B. between 1010 and 10100
C. between 105 and 1010
D. between 10 and 105
E. less than 10

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