Free Printable Final Review

1.

On the 4th of July, the probability of a person having a car accident is 0.08. What is the probability of a person driving while intoxicated or having a car accident if the probability of a person driving while intoxicated is 0.19 and the probability of a person having a car accident while intoxicated is 0.07?

a)

0.09

b)

0.12

c)

0.15

d)

0.20

2.

The quadrilateral shown is a rectangle. What is the measure of CE?

a)

7

b)

10

c)

14

d)

15

3.

The image represents what geometric construction?

a)

Copy an Angle Construction

b)

Parallel Lines Construction

c)

Angle Bisector Construction

d)

Perpendicular Bisector Construction

4.

Find m∠EGF.

a)

45°

b)

60°

c)

90°

d)

100°

5.

Consider the diagram shown where a ladder is leaning against the side of a building. The base of the ladder is 12 ft from the building. How long is the ladder?(to the nearest ft)

a)

25 ft

b)

30 ft

c)

35 ft

d)

40 ft

6.

Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a heart and then a spade?

[Note: There are 13 each of hearts, spades, clubs, and diamonds.]

a)

$\frac{1}{16}$

b)

$\frac{1}{26}$

c)

$\frac{1}{4}$

d)

$\frac{1}{52}$

7.

Equilateral triangle PBJ is inscribed in a circle as shown. Determine the measure of arc PJB.

a)

60°

b)

90°

c)

120°

d)

240°

8.

If the length of AC equals 58, what is the length of the midsegment DE?

a)

24

b)

29

c)

34

d)

39

9.

Given that lines a and b are parallel and that m∠4 = 128°, find m∠7.

a)

32°

b)

42°

c)

52°

d)

62°

10.

Henry is playing with a standard deck of cards. What is the probability that the next card he flips over is a jack or red?

a)

0.04

b)

0.08

c)

0.46

d)

0.54

11.

The quadrilateral shown is a parallelogram. What is m∠B?

a)

25°

b)

55°

c)

65°

d)

115°

12.

Given: line BD is tangent to circle C.

Find m∠CEB.

a)

45°

b)

90°

c)

100°

d)

110°

13.

Given that lines a and b are parallel and that m∠6 = 74°, find m∠1.

a)

16°

b)

76°

c)

96°

d)

106°

14.

Describe the transformation that maps the pre-image (ΔA) to the image (ΔA').

a)

a rotation 180° clockwise around the origin

b)

a rotation 270° clockwise around the origin

c)

a rotation 90° counterclockwise around the origin

d)

a rotation 270° counterclockwise around the origin

15.

Determine the sine of ∠A.

a)

$\frac{12}{13}$

b)

$\frac{12}{5}$

c)

$\frac{5}{12}$

d)

$\frac{5}{13}$

16.

How many tangents to the circle can be constructed through point P?

a)

1

b)

2

c)

3

d)

4

17.

Right triangle DEF is shown.

Which is equal to sin∠E?

a)

cos∠D

b)

cos∠F

c)

sin∠D

d)

sin∠F

18.

A survey was done to see if people are in favor of or against a new tax referendum. The results separated by gender as well are shown in the table.

If a person was polled at random what is the probability that they are for the tax referendum given they are female?

a)

0.300

b)

0.462

c)

0.538

d)

0.652

19.

In parallelogram ABCD, find m∠A.

a)

15°

b)

70°

c)

110°

d)

200°

20.

Find the measure of ∠RST.

a)

20°

b)

30°

c)

40°

d)

60°

21.

In the diagram, if m∠D = 70 degrees find m∠F.

a)

35 degrees

b)

70 degrees

c)

110 degrees

d)

140 degrees

22.

Triangles ABC and DEF are similar. Find the length of segment EF.

a)

5 cm

b)

8.8 cm

c)

12 cm

d)

14 cm

23.

An isosceles triangle is shown. What is the measure of ∠T?

a)

22°

b)

68°

c)

136°

d)

Cannot be determined

24.

A bag contains 4 red marbles and 6 blue marbles. Brandon selects one marble from the bag. Without replacing the marble he then selects a second marble. What is the probability he selects a red marble given that he first selects a blue marble?

a)

$\frac{1}{5}$

b)

$\frac{2}{5}$

c)

$\frac{3}{5}$

d)

$\frac{4}{15}$

25.

Find the members of set B.

a)

{9,8,5}

b)

{9,8,5,3,7}

c)

{1,4,6,3,7}

d)

{1,3,4,5,6,7,8,9}

26.

Find x.

a)

3

b)

4

c)

5

d)

6

27.

Which line or segment is tangent to circle G?

a)

line AB

b)

line EF

c)

segment CD

d)

segment AG

28.

Describe the transformation.

a)

translation 6 units down

b)

translation 2 units down

c)

reflection across the x-axis

d)

reflection across the y-axis

29.

Given the figure, if ∠ABC is 20° and C is the center of the circle, what is the measure of the central angle ∠ACB?

a)

40°

b)

70°

c)

100°

d)

140°

30.

Find A ∩ B.

a)

{1,4,5,7,9,12}

b)

{1}

c)

{1,7}

d)

{7}

31.

If A is the center of the circle, which of these is/are chords?

a)

$\overline{DC}$

b)

$\overline{EF}$

c)

$\overline{AF}$

d)

$\overline{EA}$

e)

$\overline{CF}$

32.

Which type of transformation does NOT result in a figure that is congruent to the original one?

a)

dilation

b)

reflection

c)

rotation

d)

translation

33.

Determine the length of arc JL.

a)

$\frac{25}{9}\pi$

b)

$\frac{5}{13}\pi$

c)

$\frac{25}{18}\pi$

d)

$\frac{14}{17}\pi$

34.

A tree casts a 25-foot shadow. At the same time of day, a 6-foot man standing near the tree casts a 9-foot shadow. What is the height of the tree, to the nearest foot?

a)

16 feet

b)

17 feet

c)

18 feet

d)

19 feet

35.

Which construction shows copying an angle?

a)

A

b)

B

c)

C

d)

D

36.

Find the tangent of ∠U.

a)

$\frac{15}{17}$

b)

$\frac{17}{15}$

c)

$\frac{8}{15}$

d)

$\frac{8}{17}$

37.

Find A U C.

a)

{2,3,5,6,7,9,11}

b)

{3,5,6,7,8,11,12}

c)

{3,5,6,7}

d)

{3,5,7}

38.

There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the first marble chosen. What is the probability of Jamie picking two blue marbles?

a)

$\frac{1}{15}$

b)

$\frac{1}{7}$

c)

$\frac{21}{50}$

d)

$\frac{7}{15}$

39.

Find the measure of θ. (to the nearest tenth)

a)

28.8°

b)

33.4°

c)

61.2°

d)

63.4°

40.

Lines l and m are parallel lines cut by the transversal line t. Which angles are congruent to ∠2?

a)

∠1

b)

∠3

c)

∠4

d)

∠6

e)

∠7

41.

Consider that ΔLMN is similar to ΔPQR and the measure of ∠P is 80°. What is the measure of ∠L?

a)

20°

b)

70°

c)

80°

d)

90°

42.

In the diagram, segments AD and AB are tangent to circle C. Solve for x.

a)

x = 3

b)

x = 9

c)

x = 13

d)

x = 3; x = -3

43.

By which rule are these triangles congruent?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

44.

Which theorem proves that the triangles are congruent?

a)

ASA

b)

SAS

c)

SSA

d)

SSS

45.

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?

a)

yes, by AA similarity criterion

b)

yes, by SAS similarity criterion

c)

yes, by SSA similarity criterion

d)

no, not possible to tell.

46.

A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of the female patients have type-O blood? [Round the answer to the nearest tenth of a percent.]

a)

41.8%

b)

46.7%

c)

47.8%

d)

71.8%

47.

Determine the measure of ∠DGF.

a)

22°

b)

29.5°

c)

70°

d)

81°

48.

If you roll a die what is the probability of getting a 2 or 6?

a)

$\frac{1}{3}$

b)

$\frac{1}{4}$

c)

$\frac{1}{6}$

d)

$\frac{2}{3}$

49.

Find the length of the hypotenuse of a right triangle with legs of 8 and 6.

a)

9

b)

10

c)

11

d)

12

50.

Find the cosine of ∠U.

a)

\frac{15}{17}

b)

$\frac{17}{15}$

c)

$\frac{8}{15}$

d)

$\frac{8}{17}$

51.

Determine the measure of ∠NOP.

a)

15°

b)

20°

c)

40°

d)

50°

52.

If the diameter of a circle changes from 5 cm to 15 cm, how will the circumference change?

a)

multiplies by $\frac{1}{3}$

b)

multiplies by 3

c)

increases by 10

d)

decreases by 10

53.

Describe the transformation that maps the pre-image (ΔA) to the image (ΔA').

a)

a reflection of the y-axis

b)

a reflection over the x-axis

c)

a translation 6 units to the left

d)

a translation 6 units to the right

54.

A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients are male? [Round the answer to the nearest tenth of a percent.]

a)

47.0%

b)

47.8%

c)

53.1%

d)

54.1%

Final Review

Total questions: 54

Worksheet time: 54mins

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