grade 9 math-complete

7/25/2019 Grade 9 Math-complete

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JUNE MONTHLY EXAM IN MATH - GRADE 9

Name: ______________________________________ Date: ________

Tell whether each of the following represents a point, a lineor a plane.

1. star in the sky2. a page from a book3. each colored dot in a television

4. tip of a pen

5. floor in your classroom. a particle of sugar

!. the corners of a paper

". a curtain rod#. edge of a window

1$. strand of your hair

%se the figure below to answer the following &uestions' ( ) *

+

2 3 4 % T 1 -

/

1. +hat is the common side of angle T-* and angle *-(0

2. +hat is the verte of angle 1, angle 2, angle 3 and angle 40

3. +hich are sides of angle -*4. +hich are opposite rays0

5. +hat is another name for angle 40

tate whether each angle is an acute, obtuse, right, straight or refle angle.


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Tell whether each figure is a polygon or not.

1. 4.

2. 5.

3.

dentify the regular and irregular polygons.

1. 4.

2. 5.

3.

tate whether each statement is true or false.

1. ll triangles have three altitudes inside them.

2. The three medians of a triangle intersect at point outside the triangle3. The three angle bisectors of a triangle intersect at a point inside the triangle.

4. n altitude can be an angle bisector of a triangle.5. n angle bisector can be the median of a triangle.

or each triangle,

a. ame the triangle using three letters

b. ame the sidesc. ame the vertices

d. ame the angles using three letters.

1. 2. 6

7 8 9

JULY MONTHLY EXAM IN MATH - GRADE 9


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Name: _____________________________________________ Date: ________

. 8lassify each triangle as scalene, isosceles,

or e&uilateral.

1.

2.

3.

4.

5.

. %sing the figure :;-, name the

following.

- :

7

;

1. isosceles triangles

2. right triangles

3. obtuse triangles4. acute triangles

5. e&uilateral triangles

8onsecutive sides 8onsecutive angles

1. 1.

2. 2.3. 3.

ame the opposite side or angle of each given side or angle

>

T

1. >

2. T3.

4. T

+rite true or false

1. sosceles trape?oid is a trape?oid with congruent legs.2. scalene trape?oid is a trape?oid with no e&ual sides.

3. &uadrilateral is another type of polygon having four sides.4. trape?oid is a &uadrilateral with only one pair of parallel sides.

5. rhombus is a parallelogram with 4 e&ual sides.

. parallelogram is a &uadrilateral with both pairs of opposite sides are parallel.!. -pposite sides of a parallelogram are congruent.

". -pposite angles of parallelogram are congruent.

#. rectangle is a parallelogram with 4 right angles.1$. trape?oid is a &uadrilateral with eactly one pair of parallel sides

ind the sum of the degree measures of the angles of each conve polygon.1. >eagon dodecagon

2. 3@gon %ndecagon

3. onagon 34@gon4. 35@gon !"@gon

5. "#@gon 234@gon

The sum of the degree measure of all the angles of a conve polygon is given. ind the numberof sides of the polygon.


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1. 1 #"$

2 ""$

2. 3 $$

3 !"$

3. 3$$

# 1"$

4. 2 34$

3$

5. !2$

1 44$

:iven the circle below, identify what each of the following illustrates'

FIRT !UARTER EXAM IN MATH - GRADE 9


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Name: _____________________________________________ Date: ________

+rite true or false.

1. The base of a pyramid may be any

polygon.2. cylinder has two e&ual circular bases.

3. 8one is a figure with a curved surface in

which all points on the surface are e&ualdistance from the center.

4. f the base is a triangle , then the pyramid

has eight faces.5. olid or space figures are geometric figures

having si dimensions.

. cube has a circular base connected to a

verte.!. ectangular prism is a prism with

rectangular faces.

". cube is a prism with s&uares for sides andfaces.

#. f a two@dimensional figure is called a

polygon, a three@dimensional figure is called apolyhedron ApolyhedralB.

1$. *airs of faces intersect at line segments

called edges.

ind the perimeter of the following.1. n isosceles triangle with one of the e&ual sides measuring 2" cm and the base 2$ cm.2. n e&uilateral triangle whose one side measures "4 mm.

3. scalene triangle whose measuring ".4 m, ." m and 4.#3 m

6etermine the perimeter of each plane figure.

1. 24 cm " cm

2"cm 2$ cm

22 cm

2. 2 cm12 cm

3. cm

4. cm12cm

12 cm

5. 13 cm

2cm1$ cm # cm

15 cm

. 15 cm 3cm


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). olve the circumference of the following circles.

1. d C 12 cm

2. r C 24 cm

3. d C 3! cm

4. d C 3 cm

5. r C 13 cm

. d C 12.4 cm

ind the area of each polygon.

1. 12 in

5 in

2. 4 m

3. 4 in

12 in

4. 2#.5 cm

5. .4 cm

2.5 cm

olve the area of the following.

1. *arallelogram 7ase >eight


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a. 12 cm cm

b. 12 cm 2.5 cm

c. 34 cm 2.# cmd. 34 cm 13. cm

2. Triangle

7ase >eight1. 15 cm " cm2. 2$ cm !.2 cm

3. 3# cm ".2 cm

4. ! cm 4.5 cm5. 12.4 cm ." cm

ind the area of each polygon. ssume all measurements are eact.

1. regular pentagon with 5 in sides and ." in apothem.

2. regular octagon with 3 in sides and # in apothem.

3. regular nonagon with 34 in sides and #.5 in apothem.4. regular heagon with ! in sides and 3. in apothem.

5. regular dodecagon with 12 in sides and in apothem.

olve the following problems.

1. ind the circumference of a circular table whose diameter is #".55 cm.

2. f the diameter of a ball is 12 in, what is its circumference.

3. orie needs to draw a circle with the circumference of 35 in. what would be the diameter ofthis circle0

4. +hat is the circumference of a playground if its diameter is 35 m0

5. +hat is the area of a s&uare room if each side measures 15 m0. +hat is the area of a rectangular room whose measures are !.5 cm 5 cm0

!. The diameter of a circular field is "$$ m. one@fourth of the field will be planted with corn and

the rest with rice. >ow many s&uare meters will be planted with rice.

". The area of a circle is 153. " cm2. +hat is its radius.#. The radii of the plates are 4 in, 5 in and # in. by how many s&uare inches is the area of the

larger plate greater than

olve the surface area of the following.

. 8ube

1. s C 4! cm2. s C 5. cm

3. s C 4.4 cm

4. s C 5. cm5. s C 23. cm

7. ectangular prism


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. Triangular *rism

a b h

1. 3 cm " cm 12 cm2. 2.5 cm 4. cm # cm

3. 12 cm 2 cm 2" cm

4. 4.5 cm cm 12 cm5. 4.3 cm .5 cm 24 cm

7. *yramid

7 s n1. 23 cm2 4 cm 3

2. 4" cm2 cm 5

3. 4" cm .5 cm 4. 12 cm 4 cm 4

5. ! cm 3.4 cm 5

8. 8ylinder1. r C " cm h C 2.5 cm

2. d C 14.4 cm h C 5 cm

3. d C 34 cm h C 3. cm4. r C 2 cm h C cm

5. r C ft

1" cm

. d C cm

24 cm

6. 8one

1. 14 cm

3 cm

2. r C 12 cm

2$ cm

3. r C 4.5 cm

1.4 cm


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9. phere1. r C cm

2. d C 12 cm

3. d C 12.5 cm

4. d C 4 in

5. r C cm

. d C 1! cm

8omplete the tables by finding the volume of each figure.

8ube

s )

! cm

4.3 cm

ectangular *rism

>eight


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height is 24 in.

5. ind the volume of a cube whose edges measure 11 in.

. ind the volume of a rectangular prism measuring 3 cm 4 cm 1$ cm.!. ind the volume of a triangular boy whose base is ! m and whose altitude is ."

m. The height of the bo is 5m.

". The volume of a triangular prism is #$$ cm3. The base is a right triangle with legs 12 cm and15 cm in length, respectively. ind the height of the prism.#. +hat is the volume a gift bo measuring ! m " m 15 m0

1$. +hat is the volume of a cube whose side is 1." dm0

11. +hat is the measure of the side of a cube whose volume measures 1 !2" in30

12. The volume of a cube measures 1 $$$m3.. ind the measures of its side.

13. The volume of a rectangular prism is 5!$ cm3. f its length measures 21 cm, and its width

measures 1" cm, what is the measure of its height014. ind the surface area of a cone if the diameter of its base is 12 cm and its slanting height is

1" cm

15. +hat is the surface area of a cone if radius of its base is .5 cm and the slanting height is 15

in0

E$OND !UARTER EXAM IN MATH - GRADE 9

Name: _____________________________________________ Date: ________

. 8omplete the tables by finding the volume of each figure.

"%&ami'


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l w h )

13 m 1$ m " m

5 cm 3 cm 5 cm

5 in 4 in 4 in

1$ dm 11 dm " dm

2! cm 2$ cm 14 cm

35 cm 2" cm 12 cm

31 cm 24 cm 22 cm

8ylinder

r h )

1.5 cm 4 cm

dm 11 dm

2.3 m .5 m

11 in 4." in

$one

r h )

2 cm 23 cm

4 cm 12 cm

1.3 cm 5. cm

5.4 cm !" cm

2 cm 34. cm

p(e&e

r )

12 cm

1 cm

4.3 cm

! cm

13 cm

23 cm

1" cm

. nswer the following item using the illustration below.

7 8 6 9

1. ame the line segments

2. ame the illustrated line using any two points.3. *oint between points 8 and 9.

4. *oint between points 6 and 7

5. *oints between and 8.. D7D E D78D

!. D7D E D78D E D86D

". D8D E D86#. D86D E D69D

1$. 78 E 89

. ind the measures of =, T, =T and => using the number line below

= T > @ @5 @4 @3 @2 @1 $ 1 2 3 4 5

1. =


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2. T

3. =T

4. =>

). - is between F and %. f F- C , -% C E , and F% C 2$, find

2$ E F - %

1. The value of 2. -%

). ind the midpoint of each line segment.

1$

#"

!

5 7

4 9 3

: > 2

18 6

5 4 3 2 1 1 2 3 4 5 ! " # 1$

6

9

8 22G 3"G

- 7

). dentify the following by using the above figure'1. ight angles

1. 8ongruent angles3. mH6-84. =idpoint

5. two obtuse angles

).


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1. ame two pairs of adIacent angles.

2. ame two pairs of vertical angles.

3. f mH/ C 12"G, what is the measure of its supplement H/

/. %se the given figure below to find the measures of the indicated angles.:iven' 6 =

; *

1 2 3 4 = /

6

1. mH=/6

2. mH/3. mH/=

4. mH6/

/. %sing the same figure, given that mH2 C 3"G and H;/* is a right angle, answer thefollowing'

1. mH3

2. mH43. mH1 E mH2

4. mH1 E mH2 E mH3 E mH4 C

/. ind the measure of the complement of each angle . ind the measure of its supplement. 8omplement upplement

1. 5

2. 34.5

3. 12

4. /

5. 23.3

/. olve the following problems.

1. ind the volume of a pyramid whose rectangular base is cm and whose width is " cm. The

altitude of the pyramid is ! cm.2. The radius of a cylinder is 3m and its height is 12.2 m. ind the volume.

3. +hat is the volume of a milk can whose diameter is 3 in and whose height is . in.

4. ind the volume of a cone whose radius is 13 in and whose height is 11 in.5. ind the volume of a sphere whose radius is 12 cm.


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. +hat is the volume of a sphere whose diameter is 15 in.0

!. ind the volume of a sphere whose radius is 1$ dm0

". ind the height of a cone whose volume is 2 44 in3 and whose radius is 14 in.#. ind the radius of a cone whose volume is 1 25 m3and whose height is 12 m.

1$. The base of a rectangular pyramid is 21 m by 1" m. if the altitude is # m, what is its

volume0

NO)EM#ER MONTHLY EXAM IN MATH - GRADE 9

Name: _____________________________________________ Date: ________

. 8omplete the statements below by using the given diagram.


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1. f mH1 C 4"G and mH2 C 24G, then mH C

2. f mH1 C 34G and mH3 C !#G, then mH5C3. f mH4 C 12"G and mH2 C 42G, then mJ5 C

4. f mH5 C 11$G and mH1 C 45G, then mH3 C

5. f mH1 C and mH2 C E 1$ and mH C12$, then C

. f mH2 C 2 K 5, mH3 C 3 E 1$ and mH1 C 14$, then C!. mH1 E mH2 E mH3 C

". f mH3 C "5G , then mH C

#. f mH1 C !"G and mH2 C 5#, then mH3 C1$. f mH2 C 5G and mH3 C !"G, then m H1 C

. 6efine the perpendicular bisector of a segment.

. how the relations between the sides of the given illustrations using the symbol H, J or C. (

%

1. (%%

2. (% E % (

3. % ( E (%

4. ( (% E %5. ( E (% %

). s it possible for a triangle to have the following sides01. 1, 11, 5

2. 3, 5, !

3. #, 1$, 114. , , 2$

5. 3, , 1$

. 4, 5, 12!. 5, 3, 2

". , !, 12#. 1, 2, 1$. 2, 5, 12

). -n the figure on the right, and y

are parallel lines and 7 is the transversal. 7


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4 5

F 3

/ 2 !1 "

ame the following

1. our pairs of corresponding angles

2. Two pairs of alternate interior angles

3. two pairs of alternate eterior angles

). uppose you know that -9

/. nswer the following.

1. ame the three pairs corresponding vertices.

2. ame the three pairs of corresponding sides.

3. ame the three pairs of corresponding angles.

). dentify the following.

1.

2. 3.


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. :iven ;>- = with legs ! cm long, name all pairs of congruent angles.

; =

! cm ! cm ! cm ! cm > -

. ind the measures of the median of the given figure.

:iven ' 9 C 15 cm 9 15 m ; C 2" m 6 :

8 >

7 L ; C 1$. :L C

11. > C 12. C

13. 9 C 14. 6L C15. >9 C

. :iven the ratios of the lengths of the sides of O- and O7%T.

.1. O- 2 ' 3 ' ! a. O7%T 4''14 b. O7%T 1'14'2$

2. O- 1 ' 3 ' 3 a. O7%T 3'#'# b. O7%T 2'4'12

3. O- 2 ' 1 ' ! a. O7%T '3'21 b. O7%T 12'14'24. O- 3 ' 4 ' 5 a. O7%T #'12'15 b. O7%T 2'!'1#

5. O- 2 ' 3 ' ! a. O7%T 2'1' b. O7%T "'12'2"

. O- 3 ' 3 ' a. O7%T 1'1'2 b. O7%T 4'4'#

!. O- 2 ' 3 ' 4 a. O7%T 4''1$ b. O7%T '#'12


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". O- 4 ' " ' 1$ a. O7%T '1$'12 b. O7%T '12'15

#. O- 2 ' 4 ' 5 a. O7%T '"'15 b. O7%T "'1'2$

1$. O- 1 ' 2 ' 3 a. O7%T 3'4'5 b. O7%T 4'"'12

. ind the geometric mean of each pair of numbers.

1. 3 and 5 2. 1 and 43. # and 1 4. 5 and 45

5. 3 and 2! . " and 11

!. 3 and ! ". m and n#. 3 and 12 1$. 5 and !

11. and 12 12. " and 12

13. 1 and " 14. and #15. 14 and "

). right triangle 78 with right angle at 8. 6etermine the measures of the missing sides.

1. a C 3, b C 4, c C 0

2. a C 14, b C 1, c C 03. b C #, c C 1", a C 0 b c

4. b C 21, c C 35, a C 0

5. c C 1$$, a C 5!, b C 0 8 a 7. c C 3$, b C 1", a C 0

!. a C "y, b C K 2, c C 0

". b C 4 E 2, a C 4 E ", c C 0#. a C K 2, c C 2 E 4, b C 0

1$. a C " K 2, c C 1" E 4, a C 0

). ind the value of each variable.

). olve each indicated length.


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1. >9 is 3$@$@#$ triangle. ind the indicated lengths.

a. >9 C 4$, > C 0, 9 C 0 b. >9 C 31, > C 0, 9 C 0

c. > C 12, >9 C 0, 9 C 02.

=9 is a 45@45@#$ triangle. ind the indicated lengths.

a. = C 42, 9 C 0, =9 C 0 b. 9 C 2$, = C 0, =9 C 0

c. =9 C 14, = C 0, 9 C 0

FE#RUARY MONTHLY EXAM IN MATH - GRADE 9

Name: _____________________________________________ Date: ________

. %se the given figure to a. name the central angle

b. name the minor arc

c. name the maIor arc d. name the semicircles

. %sing the same figure, find the measures of the following maIor arcs.

a. arc b. arc F

c. arc F

d. arc Fe. arc F

. ill in the blanks to complete the given statements.

1. Tangent is a line that contacts an arc or circle at only one .2. f the circles are separate , there are possible common tangents.

3. Two coplanar circles are to each other if they are tangent to the same line at the

same point.4. Tangent circles are if each lies in the eterior of the

otherAecept for the point of tangencyB.

). ind the value of .


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). n which point &uadrant is each point located.

1. A#, "B 2. A@4, 3B3. A", @2B 4. A2, 5B

5. A@1, @B . A!, @3B

!. A1$, 2$B ". A@1", "B#. A$,B 1$. A1!, $B

11. A4, @"B 12. A@5, B

13. A@3, @2B 14. A@5, @"B15. A@2, 1B

). :raph each point on a coordinate plane.

1. A@4, 2B2. 7A@3, 3B

3. 8A@4, $B

4. 6A2, @4B5. 9A@5, $B

. A$, @1B

!. :A@2, 4B". >A@3, 2B

#. A@1, @1B

1$. ;A@2, 4B


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FOURT !UARTER EXAM IN MATH - GRADE 9

Name: _____________________________________________ Date: ________

. ind and identify the slopes of the lines with given points.

1. A4, 3B, A, 1B 2. A2, 2B, A4, 2B

3. A2, 3B, A$, 1B 4. A@2, @1B, A2, @3B5. A@3, 3B, A$, 2B . A, 1B, A1, 5B

!. A1$, 4B, A1$, @3B ". A@4, @4B, A$, @1B#. A@5, !B,A3,3B 1$. A@1, @2B, A$, !B

. :raph the following linear e&uations.

1. E y C 3

2. 2 E 3y C 123. K 2y C @2

4. 2 K ! C 5

5. 2 E 4y C 12

. ind the and y@intercept of the following e&uations.

1. C y E @2 2. 3 E # C y3. y C K 4. y C E 5

5. 4 C 2y E . 3 C 5y E 15

!. # E y C # ". E 4y C 4

#. yC2

4x2

1$. y C1

4x+1

). Transform each e&uation to form y C m E b1. 4 K y C 2 2. 5 K y C $

3. 2 E y C 1 4. y E C @2

5. y K 3 C 3 . 2 E 4y C "!. @3 K 2y C 1 ". 2 K 2y C @4

#. K 2y E 5 C $ 1$. 2 K 4y K 12 C 1

). ind the e&uation of the line using the point@slope form.

1. m C , A4, B 2. m C @!, A$, 2B

3, m C @", A@4, 2B 4. m C P, A5, #B5. m C @3 , A@4, @!B . m C 1Q3, A1, 2B

!. m C P, A5, @B ". m C @5, A$, 3B

#. m C @3, A5, 3B 1$. m C @3, A@, @3B

). ind the e&uation of the line using the two@point form.1. A2, @2B M A4, 5B 2. A1, B MA1, 1B


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3. A3, @!B M A@2, 2B 4. A5, "B M A3, 5B

5. A@2, @4B M A1, @3B . A@, @4B M A5, @2B

!. A!, 4B M A, $B ". A$, 4B M A@2, @2B#. A@1, 1B M A@5, 4B 1$. A@4, @2B M A@2, 5B

). ind the distance between the two points.1. A4, @12B M A$, B 2. A@2, B MA4, "B3. A#, @B M A@2, "B 4. A@4, @2B M A@3, !B

5. A@4, @2B M A@4, B . A@, @B M A4, @5B

!. A@1, 12B M A1, $B ". A$, #B M A@1, @2B#. A5, 11B M A@4, 5B 1$. A@3, @12B M A@3, 5B

). ind the coordinates of the midpoint of each segment using midpoint formula.

1. A@4, @B and A", 1$B 2. A, 1$B and 9A$, @2B

3. 9A, 12B and 6A@4, @B 4. TA12, @1B and -A@3, 4B5. *A@5, "B and A, @1$B . =A2, 1B and FA5, B

!. -A$, 2B and A, 5B ". -A4, @#B 6 A3, "B

#. /A1, $B 6 FA3, !B 1$. 7A!, 2B 6 =A@5, @5B

/. ind the slope and y@intercept of the following e&uations.

1. 2 E 3y C "2. 4 C E y

3. 3 K 4y C 124. 5 E 25 C 3y

5. E "y C 24

grade 9 math-complete

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