D27

M2May2011 EOCTReviewG (M2May20IlEOCTReviewG)

Date__________

I This triangle has the dimensions shown

183 in

~60( xm

What is the value ofx

C 18

2 A to-inch paintbrush fits exactly in the rectangular base of a box when placed diagonally as shown in this diagram

What is the area of the base of the box

A 25 sq in

B 25-J3 sq in

C 50 sq in

D 50fj sq in

1

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

3 The altitude of this isosceles triangle is 15 centimeters as shown

What is the perimeter to the nearest centimeter of the isosceles triangle

A 90 em

B 96 em

C 112 em

D120em

4 A smaU square is inscribed inside a large square as shown in this figure

The perimeter of the large square is 64 meters What is the AREA of the small square

2A 64 m

2B 128 m

C320m2

D 512 m2

2

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

5 The length of a diagonal of one face of a cube is 4 feet What is the volume to the nearest cubic foot of the cube

A 16 cu ft

B 23 cu ft

C 64 cu ft

D 181 cu ft

6 The bases of this rectangular prism are squares

12[j

Which expression represents the value x- y

A 12fi - 12

BIZJ6-12

C 24- 12ji

D 24middot 12J6

3

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

3 The altitude of this isosceles triangle is 15 centimeters as shown

What is the perimeter to the nearest centimeter of the isosceles triangle

A 90 em

B 96 em

C 112 em

D120em

4 A smaU square is inscribed inside a large square as shown in this figure

The perimeter of the large square is 64 meters What is the AREA of the small square

2A 64 m

2B 128 m

C320m2

D 512 m2

2

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

5 The length of a diagonal of one face of a cube is 4 feet What is the volume to the nearest cubic foot of the cube

A 16 cu ft

B 23 cu ft

C 64 cu ft

D 181 cu ft

6 The bases of this rectangular prism are squares

12[j

Which expression represents the value x- y

A 12fi - 12

BIZJ6-12

C 24- 12ji

D 24middot 12J6

3

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

5 The length of a diagonal of one face of a cube is 4 feet What is the volume to the nearest cubic foot of the cube

A 16 cu ft

B 23 cu ft

C 64 cu ft

D 181 cu ft

6 The bases of this rectangular prism are squares

12[j

Which expression represents the value x- y

A 12fi - 12

BIZJ6-12

C 24- 12ji

D 24middot 12J6

3

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

7 This triangle has the measures shown

12

5 Which measures shown in the triangle are equivalent to 13

A sin a only

B cos b only

C sin a and cos b

D cos a and sin b

4

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

8 This diagram represents the distance between a boat and a lighthouse

Based on the diagram which equation must be true

xsmOshyA middot y

siue lB middot x

)( tane=shyCmiddot y

D tane middot x

5

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

1

9 The tangent of a in this diagram is 24

hlonntuiuwp

not drdWfI to scale

The height of the mountain z is 1400 feet Which equation must be true

A x- 1200 feet

B y= 1200 feet

C x- 4800 feet

D y= 4800 feet

6

M2May2011 EOCTReviewG (M2May2011EOCTReviewG)

10 This diagram shows similar right triangles

-ni-----m----

Which equation must be true

m B -

m D n+ m

11 The measure of a in right llAYZ is 9IJO Which equation must be true

B smLX =cosLY

C smLX +sinLY = 1

D sinLX+cosLY=l

7

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

12 This diagram shows the lengths of each side of a kite

---- w in ---I

What is the value ofw to the nearest inch

sin 72ltgt = 09511

cosndeg= 03090

tan 720 =30777

A 10 in

B20in

C30in

D 40 in

8

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

13 The angle of depression from a helicopter to the top of a monument is 16deg as shown in this diagram

(imuM

not drtwll 10 Sl11le

How far above the ground to the nearest yard is the helicopter

sin1~=027561

cos16deg 09613 I tan 10 =02867 j

40yd

A 798 yd

B 828 yd

C 2684 yd

D 2860 yd

9

M2May20 11EOCTReviewG (M2May20 11EOCTReviewG)

14 A bridge is built across a stream as shown in this diagram

Bridge

Stream

The top of the bridge is 4 meters above the stream Which equation can be used to find x the length in meters of the bridge

sin84= ~ Amiddot x

sin84deg= ~ Bmiddot 4

4C cos84deg=

middot x

15 A building casts a 50-foot shadow The angle of elevation from the end of the shadow to the top of the building is 69deg

What is the height to the nearest foot of the building

sin69deg =093361

(os69deg =03584j

tan69deg =26051

A 19 ft

B 47 ft

C54ft

D 130 ft

10

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

16 The perpendicular bisector of chord FG is chord HJ Which diagram shows chords FG and HJ

A

11

J

B

c

II

J

D

F

G

11

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

8 This diagram represents the distance between a boat and a lighthouse

Based on the diagram which equation must be true

xsmOshyA middot y

siue lB middot x

)( tane=shyCmiddot y

D tane middot x

5

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

1

9 The tangent of a in this diagram is 24

hlonntuiuwp

not drdWfI to scale

The height of the mountain z is 1400 feet Which equation must be true

A x- 1200 feet

B y= 1200 feet

C x- 4800 feet

D y= 4800 feet

6

M2May2011 EOCTReviewG (M2May2011EOCTReviewG)

10 This diagram shows similar right triangles

-ni-----m----

Which equation must be true

m B -

m D n+ m

11 The measure of a in right llAYZ is 9IJO Which equation must be true

B smLX =cosLY

C smLX +sinLY = 1

D sinLX+cosLY=l

7

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

12 This diagram shows the lengths of each side of a kite

---- w in ---I

What is the value ofw to the nearest inch

sin 72ltgt = 09511

cosndeg= 03090

tan 720 =30777

A 10 in

B20in

C30in

D 40 in

8

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

13 The angle of depression from a helicopter to the top of a monument is 16deg as shown in this diagram

(imuM

not drtwll 10 Sl11le

How far above the ground to the nearest yard is the helicopter

sin1~=027561

cos16deg 09613 I tan 10 =02867 j

40yd

A 798 yd

B 828 yd

C 2684 yd

D 2860 yd

9

M2May20 11EOCTReviewG (M2May20 11EOCTReviewG)

14 A bridge is built across a stream as shown in this diagram

Bridge

Stream

The top of the bridge is 4 meters above the stream Which equation can be used to find x the length in meters of the bridge

sin84= ~ Amiddot x

sin84deg= ~ Bmiddot 4

4C cos84deg=

middot x

15 A building casts a 50-foot shadow The angle of elevation from the end of the shadow to the top of the building is 69deg

What is the height to the nearest foot of the building

sin69deg =093361

(os69deg =03584j

tan69deg =26051

A 19 ft

B 47 ft

C54ft

D 130 ft

10

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

16 The perpendicular bisector of chord FG is chord HJ Which diagram shows chords FG and HJ

A

11

J

B

c

II

J

D

F

G

11

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

1

9 The tangent of a in this diagram is 24

hlonntuiuwp

not drdWfI to scale

The height of the mountain z is 1400 feet Which equation must be true

A x- 1200 feet

B y= 1200 feet

C x- 4800 feet

D y= 4800 feet

6

M2May2011 EOCTReviewG (M2May2011EOCTReviewG)

10 This diagram shows similar right triangles

-ni-----m----

Which equation must be true

m B -

m D n+ m

11 The measure of a in right llAYZ is 9IJO Which equation must be true

B smLX =cosLY

C smLX +sinLY = 1

D sinLX+cosLY=l

7

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

12 This diagram shows the lengths of each side of a kite

---- w in ---I

What is the value ofw to the nearest inch

sin 72ltgt = 09511

cosndeg= 03090

tan 720 =30777

A 10 in

B20in

C30in

D 40 in

8

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

13 The angle of depression from a helicopter to the top of a monument is 16deg as shown in this diagram

(imuM

not drtwll 10 Sl11le

How far above the ground to the nearest yard is the helicopter

sin1~=027561

cos16deg 09613 I tan 10 =02867 j

40yd

A 798 yd

B 828 yd

C 2684 yd

D 2860 yd

9

M2May20 11EOCTReviewG (M2May20 11EOCTReviewG)

14 A bridge is built across a stream as shown in this diagram

Bridge

Stream

The top of the bridge is 4 meters above the stream Which equation can be used to find x the length in meters of the bridge

sin84= ~ Amiddot x

sin84deg= ~ Bmiddot 4

4C cos84deg=

middot x

15 A building casts a 50-foot shadow The angle of elevation from the end of the shadow to the top of the building is 69deg

What is the height to the nearest foot of the building

sin69deg =093361

(os69deg =03584j

tan69deg =26051

A 19 ft

B 47 ft

C54ft

D 130 ft

10

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

16 The perpendicular bisector of chord FG is chord HJ Which diagram shows chords FG and HJ

A

11

J

B

c

II

J

D

F

G

11

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May2011 EOCTReviewG (M2May2011EOCTReviewG)

10 This diagram shows similar right triangles

-ni-----m----

Which equation must be true

m B -

m D n+ m

11 The measure of a in right llAYZ is 9IJO Which equation must be true

B smLX =cosLY

C smLX +sinLY = 1

D sinLX+cosLY=l

7

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

12 This diagram shows the lengths of each side of a kite

---- w in ---I

What is the value ofw to the nearest inch

sin 72ltgt = 09511

cosndeg= 03090

tan 720 =30777

A 10 in

B20in

C30in

D 40 in

8

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

13 The angle of depression from a helicopter to the top of a monument is 16deg as shown in this diagram

(imuM

not drtwll 10 Sl11le

How far above the ground to the nearest yard is the helicopter

sin1~=027561

cos16deg 09613 I tan 10 =02867 j

40yd

A 798 yd

B 828 yd

C 2684 yd

D 2860 yd

9

M2May20 11EOCTReviewG (M2May20 11EOCTReviewG)

14 A bridge is built across a stream as shown in this diagram

Bridge

Stream

The top of the bridge is 4 meters above the stream Which equation can be used to find x the length in meters of the bridge

sin84= ~ Amiddot x

sin84deg= ~ Bmiddot 4

4C cos84deg=

middot x

15 A building casts a 50-foot shadow The angle of elevation from the end of the shadow to the top of the building is 69deg

What is the height to the nearest foot of the building

sin69deg =093361

(os69deg =03584j

tan69deg =26051

A 19 ft

B 47 ft

C54ft

D 130 ft

10

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

16 The perpendicular bisector of chord FG is chord HJ Which diagram shows chords FG and HJ

A

11

J

B

c

II

J

D

F

G

11

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

12 This diagram shows the lengths of each side of a kite

---- w in ---I

What is the value ofw to the nearest inch

sin 72ltgt = 09511

cosndeg= 03090

tan 720 =30777

A 10 in

B20in

C30in

D 40 in

8

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

13 The angle of depression from a helicopter to the top of a monument is 16deg as shown in this diagram

(imuM

not drtwll 10 Sl11le

How far above the ground to the nearest yard is the helicopter

sin1~=027561

cos16deg 09613 I tan 10 =02867 j

40yd

A 798 yd

B 828 yd

C 2684 yd

D 2860 yd

9

M2May20 11EOCTReviewG (M2May20 11EOCTReviewG)

14 A bridge is built across a stream as shown in this diagram

Bridge

Stream

The top of the bridge is 4 meters above the stream Which equation can be used to find x the length in meters of the bridge

sin84= ~ Amiddot x

sin84deg= ~ Bmiddot 4

4C cos84deg=

middot x

15 A building casts a 50-foot shadow The angle of elevation from the end of the shadow to the top of the building is 69deg

What is the height to the nearest foot of the building

sin69deg =093361

(os69deg =03584j

tan69deg =26051

A 19 ft

B 47 ft

C54ft

D 130 ft

10

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

16 The perpendicular bisector of chord FG is chord HJ Which diagram shows chords FG and HJ

A

11

J

B

c

II

J

D

F

G

11

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

13 The angle of depression from a helicopter to the top of a monument is 16deg as shown in this diagram

(imuM

not drtwll 10 Sl11le

How far above the ground to the nearest yard is the helicopter

sin1~=027561

cos16deg 09613 I tan 10 =02867 j

40yd

A 798 yd

B 828 yd

C 2684 yd

D 2860 yd

9

M2May20 11EOCTReviewG (M2May20 11EOCTReviewG)

14 A bridge is built across a stream as shown in this diagram

Bridge

Stream

The top of the bridge is 4 meters above the stream Which equation can be used to find x the length in meters of the bridge

sin84= ~ Amiddot x

sin84deg= ~ Bmiddot 4

4C cos84deg=

middot x

15 A building casts a 50-foot shadow The angle of elevation from the end of the shadow to the top of the building is 69deg

What is the height to the nearest foot of the building

sin69deg =093361

(os69deg =03584j

tan69deg =26051

A 19 ft

B 47 ft

C54ft

D 130 ft

10

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

16 The perpendicular bisector of chord FG is chord HJ Which diagram shows chords FG and HJ

A

11

J

B

c

II

J

D

F

G

11

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May20 11EOCTReviewG (M2May20 11EOCTReviewG)

14 A bridge is built across a stream as shown in this diagram

Bridge

Stream

The top of the bridge is 4 meters above the stream Which equation can be used to find x the length in meters of the bridge

sin84= ~ Amiddot x

sin84deg= ~ Bmiddot 4

4C cos84deg=

middot x

15 A building casts a 50-foot shadow The angle of elevation from the end of the shadow to the top of the building is 69deg

What is the height to the nearest foot of the building

sin69deg =093361

(os69deg =03584j

tan69deg =26051

A 19 ft

B 47 ft

C54ft

D 130 ft

10

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

16 The perpendicular bisector of chord FG is chord HJ Which diagram shows chords FG and HJ

A

11

J

B

c

II

J

D

F

G

11

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

16 The perpendicular bisector of chord FG is chord HJ Which diagram shows chords FG and HJ

A

11

J

B

c

II

J

D

F

G

11

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May20 11 EOCTReviewG (M2May20 11 EOCTReviewG)

17 Polygon PQRST is inscribed inside circle 0 as shown

Sx -- 15

Which two sides of polygon PQRST are congruent

A PQ and 1fJJ

B PQ and ST

C J5T and QR

D 1T and RS

12

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

18 Chords KL and Mll are equidistant from center P in this circle

M

not drawn to scale

Chord XL is 6 units long Which statement MUST be true about the value of x

A It is 15

B It is between 15 and 45

C It is 45

D It is greater than 45

13

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May2011 EOCTReviewG (M2May201IEOCTReviewG)

19 The center of circle P is located at (- 23) as shown on this coordinate plane

m Y

-2

Line m is tangent to circle P at (- S6)

What is the equation of line m

A y= x+ 9

B y= x+ 11

I y= -x+ 9C 2

1 y= -x+ 1lD 2

14

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

MZMayZO llEOCTReviewG (MZMayZOllEOCTReviewG)

ZO Circle 0 is inscribed inside quadrilateral PRST as shown in this diagram

T s

~PR is tangent to circle 0 at point Q

~PQ= 1 inches

~RS 20 ilIChes

What is the perimeter of quadrilateral PRST

A 80 in

S 74 in

C 68 in

D 54 in

15

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May20 11EOCTReviewG (M2May20 l1EOCTReviewG)

21 Segment GJ is a secant to circle 0 as shown

K

J

not drawn to scale

SegmentJK is a tangent to circle O Which statement MUST be true

A Vertices G K and J fonn a right triangle

S Vertices K J and 0 form a right triangle

C Vertices G K and J form an obtuse triangle

D Vertices K J and 0 form an obtuse triangle

16

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

22 The measure of DQPR is 35deg in this circle

s

The measure of DRS T is 1090 What is the measure of DPRTbull

A 74

B90middot

C 1090

D 1440

17

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May201IEOCTReviewG (M2May2011EOCTReviewG)

23 Points L M N and 0 lie on circle P as shown

Which measure MUST be equivalent to mLLtfO

A mLLNO

B mLMON

1-mLLNOC 2

1-mLMOND 2

18

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May20 l1EOCTReviewG (M2May20 llEOCTReviewG)

24 Segments KJ and KL are tangent to circle P

bull Point If lies on dlde P

bull mLlYL=40o

What is the measure of LJKL

A 140middot

B 100

C80deg

D50middot

19

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May201IEOCTReviewG (M2May201IEOCTReviewG)

25 This diagram shows circle P with FG II JH

54

82

J yen=--------- 1

What is the measure of LJPH

D 164middot

20

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May2011EOCTReviewG (M2May2011EOCTReviewG)

26 Points N P and Q lie on circle 0 as shown in this diagram

not dtwn to scale

The measure of QP is 38deg What is the measure of L2PQ

A 70middot

B 71 0

C52

D38middot

21

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May2011 EOCTReviewG (M2May20 11 EOCTReviewG)

27 Chord KL is congruent to chord LM in circle 0 as shown

L

What is the value ofx

A54

B36

C27

D24

22

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May201lEOCTReviewG (M2May2011EOCTReviewG)

28 Regular pentagon DEFGH is inscribed in circle P as shown

D

E

The length of DEF is 81Jards

Which equation must be true

A PD= 4 yd

B DJi= 8 yd

C PG= 10 yd

D HE= 20 yd

29 An exercise ball has a volume of 2304reubic inches What is the surface area of the ball

A 961ampq in

B 1921ampq in

C 2881ampq in

D 5761ampq in

23

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May2011EOCTReviewG (M2May201IEOCTReviewG)

30 The body of this container is in the shape of a cylinder

6 in

1---3 in---t

The top of the container is in the shape of half a sphere What is the approximate amount of space inside the container

A 495 cu in

B 565 cu in

C 2262 cu in

D 2827 cu in

24

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

M2May201lEOCTReviewG (M2May201lEOCTReviewG)

31 The vitamin represented in this diagram is in the shape of a cylinder with a half of a sphere on each end

I--IOmmf

2mfll 2mm

What is the volume to the nearest cubic millimeter of the vitamin

3A 193 rom

C 142 mm1

D126mm3

25

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B

EOCT Review 2012-2013 Answers

1 D 2 B 3 C 4 B 5 B 6 C 7 D 8 D 9 D 10 C 11 B 12 B 13 B 14 C 15 D 16 D 17 D 18 C 19 B 20 A 21 A 22 D 23 A 24 B 25 C 26 B 27 C 28 C 29 D 30 A 31 B