Free Printable Math 2 review 2

1.

$\sin\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{opposite}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

2.

$\cos\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

3.

$\tan\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{opposite}$

d)

$\frac{opposite}{adjacent}$

4.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

5.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

6.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

7.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

8.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

9.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

10.

Which of the following are Dilations?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

11.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

12.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

13.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

14.

How big is angle b?

a)

50 degrees

b)

60 degrees

c)

70 degrees

d)

75 degrees

15.

Solve for a.

a)

6

b)

6.67

c)

8.33

d)

10

16.

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

a)

2

b)

3

c)

9

d)

14

17.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

18.

Find the perimeter

a)

48.8

b)

47.4

c)

39.8

d)

36.4

19.

The length of the base of a box is (x-3), and the width is (x+2). The height is two more than three times the length. Build a function to model the volume of the box.

a)

(x-3)(x+2)(3x+2)

b)

(x-3)(x+2)(3x-7)

c)

(x-3)(x+2)(3x+9)

d)

(x-3)(x+2)(3x-1)

20.

The graph of g(x) = x² is transformed to create the graph of g(x) = -g(x). Describe the transformation.

a)

Vertical shift up.

b)

Horizontal shift to the right.

c)

Reflection in the x-axis.

d)

Horizontal shift to the left.

21.

The graph of m(x) = x² was transformed to create the graph of n(x) = x² + 21. Which of these describes the transformation?

a)

A vertical shift down 21 units.

b)

A vertical shift up 21 units.

c)

A horizontal shift to the right 21 units.

d)

A horizontal shift to the left 21 units.

22.

Quadratic function f(x)=x² is graphed on a coordinate plane. The graph of a new quadratic is formed by changing the vertex to (3, 0). Which function could represent the new quadratic?

a)

g(x) = x²- 3

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = (x + 3)²

23.

Which of the following functions of the form
y = ax² produces the widest graph and opens down?

a)

y = 5x²

b)

y = -5x²

c)

y = -1/5x²

d)

y = 1/5x²

24.

The graph shows the height of a rocket over time. What conclusion can be made about the flight of the rocket?

a)

The rocket reached its maximum height at 4 seconds.

b)

At 0 seconds, the rocket was 3 meters off the ground.

c)

The rocket was in flight for 16 seconds.

d)

The maximum height of the rocket was 8 meters.

25.

When is the rocket at a height of 12 meters?

a)

2 seconds

b)

2 seconds and 4 seconds

c)

2 seconds and 6 seconds

d)

7 seconds

26.

What is the relative frequency of throwing a factor of 18?

a)

$\frac{50}{100}$

b)

$\frac{28}{100}$

c)

$\frac{45}{100}$

d)

$\frac{36}{100}$

27.

How many times did the spinner land on Red?

a)

45

b)

75

c)

120

d)

60

28.

The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?

a)

b)

c)

d)

29.

Find the experimental probability of rolling a 3 if the following occurs when a die is rolled:

Dice Rolls: 1, 3, 3, 4, 4

a)

3/5

b)

1/6

c)

2/5

d)

1/3

30.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

31.

What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school?

a)

4%

b)

14%

c)

13%

d)

29%

32.

What is the probability of randomly selecting a student who received a sweater as a gift?

a)

$P\left(Sweater\right)=\frac{23}{76}$

b)

$P\left(Sweater\right)=\frac{46}{76}$

c)

$P\left(Sweater\right)=\frac{5}{23}$

d)

$P\left(Sweater\right)=\frac{5}{46}$

33.

What is the probability of randomly selecting a student who received a socks as a gift and was surprised?

a)

$P\left(Socks\ \cup Surprised\right)=\frac{56}{76}$

b)

$P\left(Socks\ \cap Surprised\right)=\frac{42}{76}$

c)

$P\left(Socks\ \cap Surprised\right)=\frac{32}{76}$

d)

$P\left(Socks\ \cup Surprised\right)=\frac{88}{76}$

34.

Given a student was surprised with the gift, what is the probability that he or she got socks?

a)

$P\left(Surprised\left|Socks\right|\right)=\frac{32}{42}$

b)

$P\left(Socks\left|Surprised\right|\right)=\frac{32}{46}$

c)

$P\left(Surprised\left|Socks\right|\right)=\frac{32}{76}$

d)

$P\left(Surprised\left|Socks\right|\right)=\frac{8}{19}$

35.

What is the probability that the person picked will be a boy given they speak german?

a)

.7273

b)

.4

c)

.16

d)

.22

36.

What is the circumference?

a)

50

b)

96

c)

24

d)

18

37.

What is the Area of a circle with a diameter of 9? Round to the nearest tenth.

a)

254.5

b)

63.6

c)

18

d)

4.5

38.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

39.

Find the volume of the rectangular prism. How many unit cubes would it take to make the rectangular prism?

a)

13 cubic units

b)

13 square units

c)

48 cubic units

d)

24 cubic units

40.

The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?

a)

4,188.8

b)

1,333.3

c)

2,364.3

d)

5,000.3

41.

Find the volume of the figure.

a)

1,800 cm³

b)

900 cm³

c)

600 cm³

d)

750 cm³

42.

Find the area of sector.

a)

$14\pi\ cm^2$

b)

$147\pi\ cm^2$

c)

$147\ cm^2$

d)

$73.5\pi\ cm^2$

43.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

9.42

d)

113.10

44.

Find the volume of the cone. If necessary, round to the tenths place.

a)

1810.1 in³

b)

150.8 in³

c)

452.6 in³

d)

276.3 in

45.

When a sphere has a volume of 972π, what is the radius of the sphere?

Hint: Use the volume formula and substitute given volume and solve the equation for the radius.

$V=\frac{4}{3}\pi r^3$
$972\pi=\frac{4}{3}\pi r^3$
$\frac{972\pi}{1}=\frac{4\pi r^3}{3}$ Multiply cross products and solve!

a)

9

b)

7

c)

18

d)

21

46.

a)

8.4 ft³

b)

100.5 ft³

c)

25 ft³

d)

16.8 ft³

Math 2 review 2

Total questions: 46

Worksheet time: 2hrs 0mins

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