1. The numbers below show how many children visited the art museum each day for10 days. What are the mean, median, and mode for the data?2,12,12,12,17,16,12,23,20,14

[A] mean: 14 [B] mean: 13 [C] mean: 14 [D] mean: 18.5median: 13 median: 14 median: 12 median: 14mode: 12 mode: 12 mode: 13 mode: 12

2. Ms. Alison drew a box-and-whisker plot to represent her students* scores on a mid-termtest.

2 7 12 17 22 27 32 37 42 47 52 57 62 67 72 77 82 87 92

50 68 82 92

Julie earned 50 on the test. Describe how her score compares with those of herclassmates.

[A] About 50% scored higher, about 50% scored lower.

[B] About 75% scored higher; about 25% scored lower.

[C] About 75% scored higher; about 50% scored lower.

[D] About 25% scored higher; about 75% scored lower.

3. The test scores were normally distributed with a mean of 60 and a standard deviation of 9.Approximately what percentage of the scores lie between 51 and 60?

[A] 68% fB] 95% fCJ 14% [D] 34%

4. In a certain normal distribution of scores, the mean is 60 and the standard deviation is 4.Find the z-score corresponding to a score of 62.

[A} 0.50 [B] -0.50 [CJ 15.00 [DJ 15.50

5. The class average on a math test was 82.5 and the standard deviation was 5.2. Find thez-score for a test score of 68.

[A] * 13.08 [B] * -13.08 [C] «-2.79 [D] «2.79

6, The Jackson triplets, Jenny, John, and James are in different mam classes at City High.On their final exams, Jenny scored 83 on a test with a mean of 76 and a standarddeviation of 8.5; John scored 76 on a test with a mean of 65 and a standarddeviation of 9.5; and James scored 78 on a test with a mean of 68 and a standarddeviation of 9. Who had the best z-score?

[A] Jenny [B] The z-scores are equal. [C] John [D] James

7. Express sin B as a fraction in simplest form.

0

3

C

EC,

8. Use the diagram to find tan x as a fraction in simplest form:

12

M;

9. Solve for x Round answers to the nearest tenth.

22°23

[A] 21.3 [B] 8.6 [C] 9.3 [D] 56.9

In which quadrant does the terminal side of the angle lie?

10. 114°

[A] first quadrant [B] fourth quadrant [C] third quadrant [D] second quadrant

11. 272°

[A] fourth quadrant [B] second quadrant [C] third quadrant [D] first quadrant

12. Find me reference angle for the following angle of rotation. -150°

[A] 570° [B] 240° [C] 540° [D] 210°

13. Convert to radian measure. Give answers in terms of n. 342°

F A T 19[A] - n10

FBI — x15

13

20

14. Convert to degree measure, —n [A] 205° [B] 97.5° fC] 107.5° [D] 195°

15. Multiply and simplify, sin x(csc x - cot x)

[A} sin2* [B] 1-C0S* [C] cos* [DJ 1-siux

16. Given that ZA = 23° and c -15, find a in the right triangle below.

A

' s

[A] 5.86 [B] 12.69 [CJ 38.39 [D] 13.81

17. For the right triangle ABC, ZA=4l°, Z.C = 90°, and a = 15 meters. Find c to thenearest tenth of a meter.

[A] 22.9m [B} 13.0m [C] 19.9m [D] 17.3 m

18. A ladder leans against a building forming an angle of 58° with the ground. The base ofthe ladder is 7 feet from the building. Use the cosine to determine the length of the ladder.

'58°

7ft

[A] 8.25 ft [B] 10ft [C] 13.21 ft [D] 12.87 ft

19. A photographer shines a camera light at a particular painting forming an angle of 47°with the camera platform. If the light is 54 feet from the wall where the painting hangs,how high above the platform is the painting?

'47°

54ft

[A] 5036 ft [Bj 57.91 ft [C] 1.07ft [D] 0.93 ft

20. Use the Law of Sines to solve for a to the nearest tenth.

C

H

[A] 40.3 [B] 38.3 [C] 39.3 [D] 37.3

21. Given a triangle with a = 1, ZC=27°, and ZB = 10°, what is the length of & Round theanswer to two decimal places.

[A] 2.61 [B] 0.75 [C] 0.38 [D] 3,47

22. Find the area of triangle ABC. a = 4, b = 4, mZ.C = 73

[A] 15.3 [B] 4.76 [C] 7.65 [D] 3.83

23, Use the Law of Cosines to solve for c to the nearest tenth,

c

23,

[A] 29.2

c

[B] 28.2 [C] 26.2 [D] 27.2

24. Given a triangle with 6=6, c = 3, and m/A = 86, what is the length of a? Round theanswer to two decimal places.

[A] 6.89 [B] 6.52 [C] 6.61 [D] 7.42

Find the dot product v • w.

v = -1 l i + 9j, w = 9i - 7ja. -99 c. -63b. -162 d. -36

Solve the problem.

A truck pushes a load of 45 tons up a hill with an inclination of 35°. Express the force vector F in terms of i and j.Round the components of F to two decimal places.a. 36.86i + 25.81j c. 24.75i + 24.75Jb. 25.81i + 36.86j d. 36.86i - 25.81 j

. The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its positionvector.

P = (-5,2); Q = (-l ,-3)a. v = -3i + 2j c. v = 4i - 5jb. v = -5i + 4j d. v = 2i - 3j

X "f ) Find the indicated quantity.

If v = 3i - 5j and w = -7i + 4j, find 3v - 4w.a. 37I -31J c. -4i - jb. 1 7 i - 1 0 j d. -19i + j

. Find the indicated quantity.

I f v = -3i + 4j, find HI.

a. 5b. 7 .

"%& | . Find the indicated quantity.

If v = -3i + j and w = 8i + j, find iv + l v f l .

a. 11 c.b. 5""/3 d.

[1]

[2]

[4] A

[5] C

[6] C

[7] C

[8]

[9] C

[11] A^

[12] D_

[13] A^

[14] D^

[15] B^

[16] A^

[18] C

[19] B

[20] C

[21] B

P2] C

[23] B

[24] B

tr)

0