Free Printable AMI Day 4

1.

25. Last month, Lucie had total expenditures of $900. The pie chart below breaks down these expenditures by category. The category in which Lucie’s expenditures were greatest is what percent of her total expenditures, to the nearest 1%?

a)

24%

b)

28%

c)

32%

d)

34%

e)

39%

2.

26. In the figure shown, the measure of $\angle BAC=\left(x+20\right)\degree$ and the measure of $\angle BAD\ =90\degree$ . What is the measure of $\angle CAD$ ?

a)

$\left(x-70\right)\degree$

b)

$\left(70-x\right)\degree$

c)

$\left(70+x\right)\degree$

d)

$\left(160-x\right)\degree$

e)

$\left(160+x\right)\degree$

3.

27. What is the perimeter, in inches, of the isosceles right triangle shown below, whose hypotenuse is $8\sqrt{2}$ inches long?

a)

8

b)

$8+8\sqrt{2}$

c)

$8+16\sqrt{2}$

d)

$16$

e)

$16+8\sqrt{2}$

4.

28. The equation $y=ax^2+bx+c$ is graphed in the standard (x, y) coordinate plain for real values of a, b, and c. When y = 0, which of the following best describes the solutions for x?

a)

2 distinct positive real solutions

b)

2 distinct negative real solutions

c)

1 positive real solution and one negative real solution

d)

2 real solutions that are not distinct

e)

2 distinct solutions that are not real

5.

29. What is the product of the complex numbers $\left(-3i+4\right)$ and $\left(3i+4\right)$

a)

1

b)

7

c)

25

d)

$-7+24i$

e)

$7+24i$

6.

30. The radius of the base of the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which of the following equations gives the measure, $\theta$ , of the angle formed by a slant height of the cone and a radius?

a)

$\tan=\frac{5}{7}$

b)

$\tan=\frac{7}{5}$

c)

$\sin=\frac{5}{7}$

d)

$\sin=\frac{7}{5}$

e)

$\cos=\frac{7}{5}$

7.

31. To make a 750-piece jigsaw puzzle more challenging, a puzzle company includes 5 pieces in the box along with the 750 pieces. If you buy such a puzzle break the seal of the box and immediately select 1 piece at random, what is the probability that it will be 1 of the extra piece?

a)

$\frac{1}{5}$

b)

$\frac{1}{755}$

c)

$\frac{1}{750}$

d)

$\frac{5}{755}$

e)

$\frac{5}{750}$

8.

32. What fraction lies exactly halfway between $\frac{2}{3}$ and $\frac{3}{4}$ ?

a)

$\frac{3}{5}$

b)

$\frac{5}{6}$

c)

$\frac{7}{12}$

d)

$\frac{9}{16}$

e)

$\frac{17}{24}$

9.

33.Gianna is converting a 12- foot-by -15- foot room in her house to a craft room. Gianna will install the tile herself but will have CC Installations build and install the cabinets. The scale drawing shown below displays the location of the cabinets in the craft room. (0.25 inch represents 2 feet). A 15-foot wall is how many inches long in the scale drawing?

a)

1.5

b)

1.895

c)

3

d)

3.375

e)

3.75

10.

34.Cabinets will be installed along one of the 12- foot walls from floor to ceiling, and 4 cabinets that are 3 feet high will be installed in the middle of the room. These are the only cabinets that will be installed, and each of them will be 2 feet wide and 2 feet deep. Gianna will install tile on the portion of the floor that will NOT be covered by cabinets. What is the area, in square feet, of the portion of the floor that will NOT be covered by cabinets?

a)

72

b)

90

c)

140

d)

156

e)

164

11.

35. Cabinets will be installed along one of the 12- foot walls from floor to ceiling, and 4 cabinets that are 3 feet high will be installed in the middle of the room. These are the only cabinets that will be installed, and each of them will be 2 feet wide and 2 feet deep. CC Installations has given Gianna an estimate of $2,150.00 for building and installing the cabinets.

CC Installations’ estimate consists of $650.00 charge for labor, plus a fixed charge per cabinet. The labor and chare per cabinet remain the same for any number of cabinets built and installed. CC installations would give Gianna what estimate if the craft room were to have twice as many Cabinets as Gianna is planning to have?

a)

$2,800.00

b)

$3,000.00

c)

$3,450.00

d)

$3,650.00

e)

$4,300.00

12.

36. Which of the following is the graph of the region

1 < x + y < 2 in the standard (x, y) coordinate plane?

a)

F

b)

G

c)

H

d)

J

e)

K

13.

37. What is the difference between the mean and the median of the set (3, 8, 10, 15)?

a)

0

b)

1

c)

4

d)

9

e)

12

14.

38. Which of the following describes a true relationship between the functions $f\left(x\right)=\left(x-3\right)^2+2$ and $g\left(x\right)=\frac{1}{2}x+1$ graphed in the standard (x, y) coordinate plane?

a)

f (x) = g(x) for exactly 2 values of x

b)

f (x) = g (x) for exactly 1 value of x

c)

f (x) < g(x) for all x

d)

f (x) > g(x) for all x

e)

f (x) is the inverse of g (x)

15.

39. Trapezoid ABCD is graphed in the graphed in the standard (x, y) coordinate plane. What is the slope of $\overline{CD}$ ?

a)

-3

b)

-1

c)

1

d)

$\frac{5}{21}$

e)

$\frac{3}{2}$

16.

40. Trapezoid ABCD is graphed in the graphed in the standard (x, y) coordinate plane. When ABCD is reflected over the y-axis to A'B'C'D', what are the coordinates of D'?

a)

(-12, 1)

b)

(-12, -1)

c)

(12, -1)

d)

(1, 12)

e)

(1, -12)

17.

41. Trapezoid ABCD is graphed in the graphed in the standard (x, y) coordinate plane. Which of the following vertical lines cuts ABCD into 2 trapezoids with equal areas?

a)

x = 2.5

b)

x = 3.5

c)

x = 4.5

d)

x = 5.5

e)

x = 6.5

AMI Day 4

Total questions: 17

Worksheet time: 9mins

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