PDF SAT Subject Test Practice Test I: Math Level IC Time—60 ...

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Date

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SAT Subject Test Practice Test I: Math Level IC

Time--60 minutes, 50 Questions

All questions in the Math Level 1 and Math Level 2 Tests are multiple-choice questions in which you are asked to choose the BEST response from the five choices offered. The directions for the tests are below:

Directions: For each of the following problems, decide which is the BEST of the choices given. If the exact numerical value is not one of the choices, select the choice that best approximates this value. Then fill in the corresponding oval on the answer sheet.

Notes: 1. A scientific or graphing calculator will be necessary for answering some (but not all) of the questions in this test. For each question you will have to decide whether or not you should use a calculator. 2. Level 1: The only angle measure used on this test is degree measure. Make sure your calculator is in the degree mode. Level 2: For some questions in this test you may have to decide whether your calculator should be in the radian mode or the degree mode. 3. Figures that accompany problems in this test are intended to provide information useful in solving the problems. They are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. All figures lie in a plane unless otherwise indicated. 4. Unless otherwise specified, the domain of any function f is assumed to be the set of all real numbers x for which f (x) is a real number. The range of f is assumed to be the set of all real numbers f (x), where x is in the domain of f. 5. Reference information that may be useful in answering the questions in this test can be found below.

Reference Information. The following information is for your reference in answering some of the questions in this test.

Volume of a right circular cone with radius r and height h: V _13r 2h Lateral Area of a right circular cone with circumference of the base c and slant height : S _12c Volume of a sphere with radius r : V _43r 3 Surface Area of a sphere with radius r : S 4r 2 Volume of a pyramid with base area B and height h : V _13Bh

1.

If

x____3_ 4

x__7__5_,

what

is

the

value

of

x ?

USE THIS SPACE FOR SCRATCH WORK.

(A)

_1__ 23

(B)

_3__ 23

(C)

_1_ 3

(D) 3

(E)

_2_3_ 3

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SAT Subject Test Practice Test I: Math Level IC continued

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2. Triangle ABC is a right triangle with sides of length 4, 6, and x. If 4 x 6, what is the approximate value of x ? (A) 4 (B) 4.47 (C) 5.21 (D) 5.63 (E) 7.21

3. What is the approximate length of the longer leg of triangle EFG ? (A) 4.23 (B) 4.66 (C) 9.06 (D) 11.03 (E) 21.45

4. If h (x) x 2 3x 1, what is [h (2)] 2? (A) 9 (B) 5 (C) 11 (D) 81 (E) 121

5. John's six test scores are given. What is the positive difference between the mean of the scores and the median of the scores? 86, 72, 92, 62, 99, 93 (A) 4 (B) 5 (C) 7 (D) 85 (E) 89

USE THIS SPACE FOR SCRATCH WORK.

E

F

25?

10

G

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SAT Subject Test Practice Test I: Math Level IC continued

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6. What is the smallest integer that satisfies the inequality 4x 5 2x 3? (A) 5 (B) 4 (C) 3 (D) 4 (E) 5

7. If figure ABCD is a parallelogram, what is the x-coordinate of point B ? (A) 2 (B) 5 (C) 6 (D) 8 (E) 10

8. What is the fifth term of the arithmetic sequence 2, ___, 8, ___, ___, ... ? (A) 5 (B) 11 (C) 13 (D) 14 (E) 15

9. If the volume of a cone is 24 cubic feet and its height is 2 feet, what is the diameter of the base in feet? (A) 3 (B) 6 (C) 12 (D) 24 (E) 36

USE THIS SPACE FOR SCRATCH WORK.

y

A (4, 5)

B

D (2, ?3)

x C (6, ?3)

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SAT Subject Test Practice Test I: Math Level IC continued

10. If 3 2x1 81, then x (A) 1

USE THIS SPACE FOR SCRATCH WORK.

(B)

_3_ 2

(C) 2

(D)

_5_ 2

(E) 3

11. There are 25 red, 15 blue, and 10 green marbles in a bag. Jill pulls out a single marble at random and keeps it. The probability that a red marble is selected next is _24_49_. What color was the first marble that Jill pulled out? (A) red (B) blue (C) green (D) blue or green (E) cannot be determined

12. If f (x) 2x 6, then f 1(x) is (A) 6 2x (B) _12_x 6

(C) _12_x 3

(D) _12_x 3

(E) _12_x 6

13. What is the area of a parallelogram with vertices at (0, 0), (2, 3), (5, 0), and (7, 3)? (A) 10 (B) 14 (C) 15 (D) 21 (E) 35

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SAT Subject Test Practice Test I: Math Level IC continued

14. (3x 4) 2 (A) 9x 2 16

USE THIS SPACE FOR SCRATCH WORK.

(B)

9x 2

_1__ 16

(C)

____1____ 9x 2 16

(D)

______1_______ 9x 2 12x 16

(E)

______1_______ 9x 2 24x 16

_x_

15.

Simplify

___y __

_x_ y

_y_ x

.

(A)

_1_ xy

(B)

_1_ x 2

(C)

_1_ y 2

(D)

___x_2___ x2 y2

(E)

___x_y___ xy y 2

16. If the area of the triangle shown is 30 square units, what is the value of y ? (A) 5 (B) 6 (C) 8 (D) 10 (E) 12

17. What is the surface area of a cylinder that has a top and bottom if the height is 8.5 units and the diameter is 3 units? (A) 18 square units (B) 30 square units (C) 32 square units (D) 36 square units (E) 54 square units

y (0, y)

x (5, 0)

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SAT Subject Test Practice Test I: Math Level IC continued

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18. What is the approximate length of segment AC ? (A) 4.9 (B) 6.7 (C) 6.9 (D) 7.1 (E) 7.3

19. If x 3 and x 2 xy 15, what is the value of y ? (A) 2 (B) 1 (C) 2 (D) 3 (E) 5

20. If x a b then 2 x 2 a 2 b (A) 2 2 ab (B) 2 ab 2 ab (C) 2 2a2b (D) 2 ab1 (E) 2 abab

21. The stem and leaf plot shows the ages of the people waiting outside a store when it opened. What is the mean age of the people? (A) 2 (B) 3 (C) 18 (D) 22 (E) 23

USE THIS SPACE FOR SCRATCH WORK.

B

6

C

45?

60? A

Stem 1 2 3

Leaf 12 3 13 5 01 2

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SAT Subject Test Practice Test I: Math Level IC continued

Class

22. What is the ratio of the area of the square to the area of the circle if the length of a side of the square is 10 units?

(A) _1_ (B) __3_

USE THIS SPACE FOR SCRATCH WORK.

(C) _2_

(D) _4_

(E) _5_

23. If f (x) x 2 x and g (x) 3x 2, what is g (f (1)) 2?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 18

24. Which of the following is equivalent to

log

__1__ 10 a

(A) 1

(B) a

(C) a (D) 10 a (E) 10 a

25. What is the area of the circle whose equation is (x 3) 2 (y 5) 2 18?

(A) 9

(B) 18

(C) 72

(D) 81

(E) 324

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SAT Subject Test Practice Test I: Math Level IC continued

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26. What is the tenth term of the arithmetic sequence whose first term is x and whose third term is x 6a? (A) 33a (B) x 24a (C) x 27a (D) x 30a (E) x 33a

27. Figure ABCD is a trapezoid w_ ith area 50 square units. If the_length of AB is 6 units and the le_ ngth of BC is 5 units, what is the length of CD ?

(A) 4

(B) 5

(C) 6

(D) 10

(E) 14 28. A root of 4x 3 12x 2 9x 27 0 is

(2x 3i ). Which of the following is another root? (A) x 3 (B) x 3 (C) 2x 2i (D) 2x 2i (E) 2x 3

29. The points (0, 0), (16, 0), (12, 12), and (4, 12) are the corners of a

(A) rhombus

(B) rectangle

(C) parallelogram

(D) trapezoid

(E) None of the above

USE THIS SPACE FOR SCRATCH WORK.

A

B

D

C

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