Free Printable 9th Grade Math prep 2025

1.

Find the value of "c"

a)

c = 8

b)

c = 10

c)

c = √52

d)

c = √20

2.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

3.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.5 feet

c)

13 feet

d)

11.6 feet

4.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

5.

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

a)

75 cm²

b)

105 cm²

c)

135 cm²

d)

30 cm²

6.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

7.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

8.

If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm, how long is the other leg rounded to the nearest tenth?

a)

22.2 cm

b)

6.6 cm

c)

2.4 cm

9.

a)

20 cm

b)

400 cm

c)

10 cm

d)

29.2 cm

10.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

11.

What is the circumference?

a)

48

b)

96

c)

24

d)

18

12.

Stephanie was jogging around circular track. One part of the track was darker than the rest. She found the angle to be 270 degrees. She found the diameter was thirty feet. What is the arc length around the darker part of the track she jogged on? (rounded to the nearest whole number)

a)

71 feet

b)

59 feet

c)

84 feet

d)

63 feet

13.

a)

60^o

b)

157^o

c)

50^o

d)

493^o

14.

a)

60^o

b)

157^o

c)

50^o

d)

493^o

15.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

16.

Find the length of the minor arc.

a)

$9\pi$ in.

b)

$\frac{9}{2}\pi$ in.

c)

$\frac{1}{8}\pi$ in.

d)

$64\pi$ in.

17.

Find the circumference of circle R.

a)

$108\pi$

b)

$1200\pi$

c)

$\frac{3}{4}\pi$

d)

$30\pi$

18.

Find the area of the sector, rounding your answer to 1d.p.

a)

176.7cm²

b)

23.6cm²

c)

156.7cm²

d)

88.4cm²

19.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

20.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

21.

Find the area of sector.

a)

$14\pi\ cm^2$

b)

$147\pi\ cm^2$

c)

$147\ cm^2$

d)

$73.5\pi\ cm^2$

22.

Find the area of the sector, rounding your answer to 1d.p.

a)

15.4m²

b)

15.3m²

c)

15.5m²

d)

15.6cm²

23.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm²

b)

67.0cm²

c)

16.8cm²

d)

134.0cm²

24.

Find the area of the sector, rounding your answer to 1d.p.

a)

2.1cm²

b)

2.0cm²

c)

0.5cm²

d)

12.6cm²

25.

Find the area of the sector, rounding your answer to 1d.p.

a)

8.9cm²

b)

9.0cm²

c)

11.4cm²

d)

11.3cm²

26.

Find the area of the sector, rounding your answer to 1d.p.

a)

8.9cm²

b)

9.0cm²

c)

11.4cm²

d)

11.3cm²

27.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

28.

What number is pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

29.

Find the area of the circle below.

a)

8.76 cm²

b)

18.52 cm²

c)

21.90 cm²

d)

28.26 cm²

30.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

31.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

32.

What is the circumference?

a)

48

b)

96

c)

24

d)

18

33.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

34.

Find the length of arc MPN.

a)

$\frac{21}{4}\pi$ in.

b)

$\frac{21}{8}\pi$ in

c)

$\frac{35}{8}\pi$ in

d)

$\frac{35}{4}\pi\$ in

35.

How many Dimensions does a flat shape have?

a)

2

b)

3

c)

4

d)

5

36.

What is the name of this shape?

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Decagon

37.

What is the name of this shape?

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Decagon

38.

What is the name of this shape?

a)

Parallelogram

b)

Rhombus

c)

Diamond

d)

Kite

39.

How many sides does a hexagon Have?

a)

6

b)

7

c)

8

d)

9

40.

How many corners does a dodecagon have?

a)

8

b)

10

c)

12

d)

14

41.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

42.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

43.

How many lines of symmetry does this shape have?

a)

2

b)

3

c)

4

d)

6

44.

How many lines of symmetry does a parallelogram have?

a)

0

b)

1

c)

2

d)

4

45.

Which shapes does not have parallel lines?

a)

Parallelogram

b)

Square

c)

Regular Octagon

d)

Regular Pentagon

46.

Which regular polygon does not tessellate?

a)

Square

b)

Equilateral Triangle

c)

Pentagon

d)

Hexagon

47.

What is the mathematical name for this shape?

a)

Heptagon

b)

Septagon

c)

Irregular Heptagon

d)

None of the above

48.

What is the name of a 100-sided shape?

a)

Hectogon

b)

Icosagon

c)

Pentacontagon

d)

Dodecagon

49.

This shape has rotational symmetry of order...

a)

0

b)

1

c)

5

d)

10

50.

This shape has rotational symmetry of order...

a)

0

b)

1

c)

2

d)

3

51.

This shape has rotational symmetry of order...

a)

1

b)

2

c)

3

d)

4

52.

What is the name of a 9-sided shape?

a)

Nonagon

b)

Ninagon

c)

Ninegon

d)

Nunagon

53.

How many faces does the shape below have?

a)

2

b)

4

c)

6

d)

8

54.

What is this 3D solid figure called?

a)

triangular prism

b)

rectangle

c)

rectangular prism

d)

square

55.

What shape is this?

a)

Cube

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Cone

56.

How many vertices?

a)

0 vertices, 1 apex

b)

1

c)

2

d)

3

57.

How many faces does this solid figure have?

a)

2

b)

1

c)

3

d)

0

58.

I have 0 flat surfaces, 0 vertices, and 0 edges. Which solid figure am I?

a)

Cylinder

b)

Cone

c)

Sphere

d)

Cube

59.

A square pyramid is represented below.
Which statement is true?

a)

A square pyramid has 4 edges and 4 faces.

b)

A square pyramid has 8 edges and 4 faces.

c)

A square pyramid has 4 edges and 5 faces.

d)

A square pyramid has 8 edges and 5 faces.

60.

Which figure will this net make?

a)

Rectangular Prism

b)

Triangular Prism

c)

Triangular Pyramid

d)

Cube

61.

Which figure will this net make?

a)

Cone

b)

Triangular Prism

c)

Square Pyramid

d)

Cube

62.

Which figure will this net make?

a)

Hexagonal Prism

b)

Triangular Prism

c)

Octagonal Prism

d)

Cone

63.

Which figure will this net make?

a)

Cube

b)

Hexagonal Pyramid

c)

Octagonal Pyramid

d)

Cone

64.

Describe the cross section.

a)

triangle

b)

rectangle

c)

oval

d)

trapezoid

65.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

66.

Describe the cross section.

a)

rectangle

b)

square

c)

parallelogram

d)

circle

67.

Which figure can have the same cross section as a sphere?

a)

b)

c)

d)

68.

What is the main difference between Prisms and Pyramids?

a)

A prism has to have all 90 degree sides and a pyramid doesn't

b)

A prism has 2 bases and a pyramid has 1 base.

c)

A prism must have a least one curved line and a pyramid doesn't

d)

A prism must be 3-d but a pyramid shouldn'

69.

I have 2 faces that are triangles and 3 faces that are rectangles

a)

Triangular Pyramid

b)

Rectangular Pyramid

c)

Triangular Prism

d)

Rectangular Prism

70.

A square pyramid is represented below.
Which statement is true?

a)

A square pyramid has 4 edges and 4 faces.

b)

A square pyramid has 8 edges and 4 faces.

c)

A square pyramid has 4 edges and 5 faces.

d)

A square pyramid has 8 edges and 5 faces.

71.

It has ... edges.

a)

1

b)

2

c)

3

d)

4

72.

The solid that has 6 faces, 8 vertices, and 12 edges is ....

a)

cone

b)

cuboid

c)

hexagonal pyramid

d)

triangular prism

73.

What is the name of this shape?

a)

Triangular prism

b)

Triangular pyramid

74.

Describe the faces of this shape

a)

2 pentagons and 5 rectangles

b)

2 octagons and 8 rectangles

c)

2 hexagons and 6 rectangles

d)

2 hexagons and 5 rectangles

75.

The arrow is pointing to a ________.

a)

Edge

b)

Vertex

c)

Face

76.

Which picture shows the face of a 3D shape?

a)

b)

c)

77.

What shape does this cross section make?

a)

Rectangle

b)

Circle

c)

Triangle

d)

Square

78.

Describe the cross section.

a)

rectangle

b)

square

c)

oval

d)

circle

79.

What is the main difference between Prisms and Pyramids?

a)

A prism has to have all 90 degree sides and a pyramid doesn't

b)

A prism has 2 bases and a pyramid has 1 base.

c)

A prism must have a least one curved line and a pyramid doesn't

d)

A prism must be 3-d but a pyramid shouldn'

80.

Which shape has the MOST edges?

a)

b)

c)

d)

81.

How many edges does a triangular pyramid have?

a)

1

b)

3

c)

5

d)

6

82.

How many unit cubes would fit into the figure below?

a)

48 unit cubes

b)

12 unit cubes

c)

30 unit cubes

d)

18 unit cubes

83.

Find the volume.

a)

960 $cm^3$

b)

1920 $cm^2$

c)

384 $cm^2$

d)

816 $cm^3$

84.

I have 2 faces that are triangles and 3 faces that are rectangles

a)

Triangular Pyramid

b)

Rectangular Pyramid

c)

Triangular Prism

d)

Rectangular Prism

85.

Find the volume of this figure?

a)

190cm³

b)

200cm³

c)

140cm³

d)

192cm³

86.

Classify the 3D solid from its net.

a)

triangular prism

b)

triangular pyramid

c)

ninja star

d)

triangular net

87.

Identify the 3D solid.

a)

sphere

b)

circle prism

c)

log

d)

cylinder

88.

Identify the 3D solid.

a)

rectangular prism

b)

cube

c)

box

d)

square prism

89.

Identify the 3D solid.

a)

cube

b)

square prism

c)

square pyramid

d)

triangular pyramid

90.

I have 1 face that is a square and 4 faces that are triangles

a)

Triangular Prism

b)

Square Pyramid

c)

Cube

d)

Square based tetrahedron

91.

I am a 3D shape and all my faces are rectangles

a)

Rectangular Pyramid

b)

Rectangular Prism

c)

Square Pyramid

d)

Square Prism

92.

I have a circular base and a curved surface that tapers to a point

a)

Circle

b)

Sphere

c)

Cylinder

d)

Cone

93.

What 3D solid does this net create?

a)

Cone

b)

Cylinder

c)

Triangular Pyramid

d)

Cube

94.

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Hexagonal Pyramid

d)

Hexagonal Prism

95.

The 2 cross sections pictured are the result of slicing a solid in 2 places parallel to the base. What could the solid be?

a)

cube

b)

rectangular prism

c)

square pyramid

d)

sphere

96.

Describe the cross section.

a)

rectangle

b)

square

c)

oval

d)

circle

97.

Describe the cross section.

a)

trapezoid

b)

triangle

c)

rectangle

d)

square

98.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

99.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

100.

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

101.

What is the face of a shape?

a)

A smile

b)

A corner

c)

Flat Surface

d)

Shape

102.

How many edges does a rectangular prism have?

a)

9

b)

5

c)

12

d)

2,000,000

103.

Identify the 3D solid from its net.

a)

cube

b)

rectangular pyramid

c)

rectangular prism

d)

square prism

104.

I am a can. I have 2 flat surfaces. What am I?

a)

cone

b)

sphere

c)

cylinder

105.

What is the name of this shape?

a)

rectangular prism

b)

triangular prism

c)

cube

106.

What is the name of this shape?

a)

Triangular prism

b)

rectangular prism

c)

cone

107.

What is the name of this shape?

a)

cube

b)

cylinder

c)

cone

d)

sphere

108.

How many faces does this shape have?

a)

3

b)

4

c)

5

d)

6

109.

How many vertices does this shape have?

a)

4

b)

6

c)

9

d)

8

110.

What is the name of this shape?

a)

Hexagonal prism

b)

Hexagonal-based pyramid

111.

Which shape has 7 faces?

a)

b)

c)

d)

112.

Which shape is not a prism?

a)

b)

c)

d)

113.

Which of the following solids are pyramids?

a)

b)

c)

d)

114.

Which net matches this solid?

a)

b)

c)

115.

Which net matches this solid?

a)

b)

c)

116.

Which solid would be created by this net?

a)

b)

c)

117.

Which of the following shapes cannot be formed from the cross section of a square pyramid?

a)

Square

b)

Trapeziod

c)

Triangle

d)

Oval (Ellipse)

118.

What would result from slicing a cylinder vertically?

a)

Circle

b)

Trapezoid

c)

Rectangle

d)

Triangle

119.

What would result from slicing a sphere?

a)

Circle

b)

Trapezoid

c)

Rectangle

d)

Triangle

120.

Describe the cross section.

a)

circle

b)

oval

c)

semi-circle

d)

trapezoid

121.

What shape does this cross section make?

a)

Rectangle

b)

Circle

c)

Triangle

d)

Square

9th Grade Math prep 2025

Total questions: 121

Worksheet time: 2hrs 12mins

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