Free Printable Final Exam Review

1.

Find the length of the arc to 2dp

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

2.

Find the length of the arc to 2dp

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

3.

Find the length of the arc to 2dp

a)

2.09m

b)

301.59m

c)

1.05m

d)

2.51m

4.

Find the length of the arc to 2dp

a)

25.12cm

b)

12.57cm

c)

628.32cm

d)

31.42cm

5.

Find the length of the arc to 2dp

a)

1.95cm

b)

3.91cm

c)

0.98cm

d)

2.93cm

6.

Find the length of the arc to 2dp

a)

49.74cm

b)

24.87cm

c)

4.97cm

d)

24.9cm

7.

Find the length of the arc to 2dp

a)

32.11cm

b)

16.05cm

c)

780.84cm

d)

32.99cm

8.

Find the length of the arc to 2dp

a)

246.09cm

b)

24.61cm

c)

123.05cm

d)

240.86cm

9.

Find the length of the arc to 2dp

a)

37.70cm

b)

37.69cm

c)

18.85cm

d)

18.84cm

10.

Find the length of the arc to 2dp

a)

43.98cm

b)

439.82cm

c)

219.91cm

d)

21.99cm

11.

Find the length of the arc to 2dp

a)

0.63cm

b)

0.62cm

c)

0.31cm

d)

6.28cm

12.

Find the length of the arc to 2dp

a)

21.99mm

b)

65.97mm

c)

32.99mm

d)

11.00mm

13.

Find the length of the arc to 2dp

a)

7.07cm

b)

14.13cm

c)

28.27cm

d)

42.41cm

14.

Find the length of the arc to 2dp

a)

115.61cm

b)

28.90cm

c)

57.81cm

d)

86.71cm

15.

Find the length of the arc to 2dp

a)

5.76cm

b)

18.85cm

c)

7.33cm

d)

11.52cm

16.

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

17.

a)

546 m3

b)

456 m3

c)

654 m3

d)

54 m3

18.

Find the volume.

a)

364

b)

1092

c)

546

d)

182

19.

Find the volume.

a)

408

b)

4352

c)

2176

d)

544

20.

Is surface area.......

a)

Filling in a 3 dimensional shape

b)

wrapping the outside of a 3 dimensional shape

21.

Find the total surface . ?

a)

10.30cm²

b)

130cm³

c)

144cm²

d)

130cm²

22.

a)

45mm²

b)

45mm³

c)

3,375mm³

d)

3,375mm²

23.

What is the surface area?

a)

26 square meters

b)

76 square meters

c)

123 square meters

d)

56 square meters

24.

Find the measure of ONE exterior angle of a regular decagon.

a)

36

b)

10

c)

18

d)

40

25.

A polygon with six sides is called a(n) ______________.

a)

hexagon

b)

pentagon

c)

decagon

d)

septagon

26.

Find the measure of ONE interior angle of a regular dodecagon.

a)

150

b)

120

c)

1800

d)

20

27.

The sum of the interior angles of a polygon is __________________ where n is the number of sides.

a)

(n - 2)180

b)

(n - 1)180

c)

360

d)

(n - 3)(180)

28.

Find the sum of the interior angles of a nonagon.

a)

1260

b)

900

c)

1620

d)

180

29.

How many sides would an irregular polygon have if the interior angle sum is $1800\degree$ ?

a)

20 sides

b)

21 sides

c)

12 sides

d)

180 sides

30.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

31.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

32.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

33.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

34.

What is the equation of the circle, with centre (-4,5) and radius 6 units?

a)

(x - 4)² + (y + 5)² = 6

b)

(x - 4)² + (y + 5)² = 36

c)

(x + 4)² + (y - 5)² = 6

d)

(x + 4)² + (y - 5)² = 36

35.

A ________ is any polygon that has 4 sides.

a)

square

b)

parallelogram

c)

quadrilateral

d)

trapezoid

36.

Which quadrilateral is NOT a parallelogram?

a)

rectangle

b)

square

c)

trapezoid

d)

rhombus

37.

All squares are rectangles.

a)

True

b)

False

38.

This image shows

a)

rhombi

b)

square

c)

parallelogram

d)

trapezoid

39.

Name that shape.

a)

quadrilateral, rectangle

b)

quadrilateral, rectangle, square

c)

quadrilateral, parallelogram, rectangle

d)

quadrilateral, parallelogram, rectangle, square

40.

What are two attributes that we use to classify polygons?

a)

sides and edges

b)

length and angles

c)

sides and angles

d)

vertices and faces

41.

a)

40 in²

b)

40

c)

40 in

d)

4 in²

42.

a)

16 yd³

b)

16 yd²

c)

16 yd

d)

1 yd

43.

What does area mean?

a)

the distance around a shape

b)

half the distance around a shape

c)

the amount of space outside a shape

d)

the amount of space inside a shape

44.

Mrs. Davis wanted to cover the classroom with new carpet. If the length of the classroom was 12 feet and the width was 8 feet. How much carpet would she need to buy?

a)

20 feet

b)

40 ft

c)

96 square feet

d)

40 square feet

45.

Find the area.

a)

27.3 mi²

b)

54 mi²

c)

27 mi²

d)

54.6 mi²

46.

Find the area

a)

430 in²

b)

215 in²

c)

41.5 in²

d)

1.5 in²

47.

What is the height of this trapezoid?

a)

12 cm

b)

14 cm

c)

22 cm

48.

What is the area of this trapezoid?

a)

216 cm²

b)

204 cm²

c)

156 cm²

49.

What is the height of this trapezoid?

a)

4 in

b)

6 in

c)

8 in

50.

What is the area of this trapezoid?

a)

20 in²

b)

24 in²

c)

28 in²

51.

What is the coordinates of the centre and the radius of the circle with equation:
(x - a)² + (y - b)² = r² ?

a)

Centre (a,b)
Radius = r² units

b)

Centre (-a,-b)
Radius = r units

c)

Centre (a,b)
Radius = r units

d)

Centre (-a,-b)
Radius = r² units

52.

What is the coordinates of the centre and the radius of the circle with equation:
(x - 1)² + (y - 2)² = 3² ?

a)

Centre (-1,-2)
Radius = 3 units

b)

Centre (1,2)
Radius = 3 units

c)

Centre (-1,-2)
Radius = 9 units

d)

Centre (1,2)
Radius = 9 units

53.

What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Centre (4,3)
Radius = 5 units

b)

Centre (4,3)
Radius = 25 units

c)

Centre (-4,-3)
Radius = 25 units

d)

Centre (-4,-3)
Radius = 5 units

54.

What is the coordinates of the centre and the radius of the circle with equation:
(x + 3)² + (y + 1)² = 2² ?

a)

Centre (-3,-1)
Radius = 4 units

b)

Centre (3,1)
Radius = 2 units

c)

Centre (-3,-1)
Radius = 2 units

d)

Centre (3,1)
Radius = 4 units

55.

What is the equation of the circle, with centre (4,2) and radius 5 units?

a)

(x + 4)² + (y + 2)² = 25

b)

(x + 4)² + (y + 2)² = 5

c)

(x - 4)² + (y - 2)² = 5

d)

(x - 4)² + (y - 2)² = 25

56.

What is the equation of the circle, with centre (-2,-7) and radius 3 units?

a)

(x + 2)² + (y + 7)² = 3

b)

(x - 2)² + (y - 7)² = 9

c)

(x + 2)² + (y + 7)² = 9

d)

(x - 2)² + (y - 7)² = 3

57.

What is the equation of the circle, with center (-6,-9) and radius 7 units?

a)

(x + 6)² + (y + 9)² = 49

b)

(x + 6)² + (y + 9)² = 7

c)

(x - 6)² + (y - 9)² = 49

d)

(x - 6)² + (y - 9)² = 7

58.

Arc length is...

a)

The circumference of the circle.

b)

The distance from the center to the arc.

c)

The distance along the arc

59.

Area of sector is..

the area between two arcs and the connecting points of a circle.

a)

the area between two radiuses and the connecting arc of a circle.

b)

the area between two arcs and the connecting points of a circle.

c)

the area of a circle.

60.

Arc Length and Area of Sectors final answers always have to include units.

a)

True

b)

False

61.

The equation of a circle includes two key components which are..

a)

The units and the graph

b)

The center and the radius

c)

The center and the diameter

62.

What is the Arc Length?

(a)

63.

Find the Area of the Sector.

(a)

64.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

a)

5/6

b)

1/2

c)

1/3

d)

1/6

65.

P(not A) =

*Remember to simplify.*

a)

2/6

b)

3/4

c)

2/8

d)

1/4

66.

An unlikely chance event is closer to what number?

a)

0

b)

1

c)

2

d)

3

67.

In a random survey of 50 students at Great Middle School, 32 said chocolate was their favorite flavor of yogurt. The school has 450 students. How many of them are likely to select chocolate as their favorite flavor?

a)

144

b)

162

c)

225

d)

288

68.

There are 25 counters in a bag: 6 red,
4 white, 7 blue, and 8 yellow. You choose one counter at random. Which color are you least likely to choose?

a)

white

b)

blue

c)

red

d)

yellow

69.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/6

c)

1/9

d)

1/3

70.

An equally likely chance for an event to occur is what number?

a)

0

b)

1

c)

.5

d)

100

71.

A principal randomly chose 40 students from grade 5. Of these students, 9 were wearing watches. Based on this information, what is the most reasonable prediction of the number of students wearing watches in a group of 120 students from grade 5?

a)

27

b)

9

c)

18

d)

80

72.

A likely chance event is closer to what number?

a)

0

b)

1

c)

.5

d)

100

73.

Twenty-five people were asked which of the four gifts was their favorite. Which gift was favored 16% of the time?

a)

Flowers

b)

Perfume

c)

Jewelry

d)

Clothing

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

a)

A

b)

B

c)

C

d)

D

Final Exam Review

Total questions: 78

Worksheet time: 2hrs 25mins

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