Free Printable Math Models Fall Exam

1.

What shape is this?

a)

Cube

b)

Cone

c)

Sphere

d)

Cylinder

2.

What shape is this?

a)

Sphere

b)

Cylinder

c)

Triangular Prism

d)

Cone

3.

What shape is this?

a)

Triangular Prism

b)

Triangle

c)

Rectangular Prism

d)

Triangular Pyramid

4.

What shape is this?

a)

Cone

b)

Rectangular Prism

c)

Cylinder

d)

Circle

5.

Find the volume of the sphere. Round to 3 decimal places.

Volume = (a) in³

6.

Which 3D Figures make up the following composite solid.

a)

Cone

b)

Cylinder

c)

Pyramid

d)

Rectangular Prism

7.

Find the volume of the right rectangular prism shown

Volume = (a) cm³

8.

Which shapes could you use to build this? Pick 2 shapes.

a)

b)

c)

d)

9.

What 3D solid does this net make?

a)

Cube

b)

Cuboid

c)

Triangular Prism

d)

Square-based Pyramid

10.

What 3D solid does this net make?

a)

Cube

b)

Triangular Pyramid

c)

Triangular Prism

d)

Square Pyramid

11.

What 3D solid does this net make?

a)

Triangular Pyramid

b)

Tetrahedron

c)

Triangular Prism

d)

Square Pyramid

12.

What 3D solid does this net make?

a)

Octahedron

b)

Triangular Pyramid

c)

Triangular Prism

d)

Square Pyramid

13.

What 3D solid does this net make?

a)

Cone

b)

Tetrahedron

c)

Cylinder

d)

Square-based Pyramid

14.

Which shape is missing to make the net of a cone?

a)

Circle

b)

Square

c)

Triangle

d)

Rectangle

15.

What 3D solid does this net make?

a)

Cone

b)

Tetrahedron

c)

Cylinder

d)

Rectangular Prism

16.

Which shape is missing to make the net of a cuboid?

a)

Circle

b)

Square

c)

Triangle

d)

Rectangle

17.

What is the name of this 3D solid?

a)

Triangular Prism

b)

Triangular Pyramid

c)

Square Prism

d)

Square Pyramid

18.

What is the name of this 3D solid?

a)

Hexagonal Prism

b)

Hexagonal Pyramid

c)

Pentagonal Pyramid

d)

Pentagonal Prism

19.

Which figure will this net make?

a)

Triangular Pyramid

b)

Hexagonal Pyramid

c)

Triangular Prism

d)

Cube

20.

Which shape is not a prism?

a)

b)

c)

d)

21.

Find the volume of the right cylinder shown

a)

$2160\pi\ m^3$

b)

$180\pi\ m^3$

c)

$2700\pi\ m^3$

d)

$1830\pi\ m^3$

22.

The area of the base of the cone shown is $16\pi$ . Find the volume of the cone.

a)

$4$

b)

$80\pi$

c)

$20\pi$

d)

$26.\overline{6}\ \pi$

23.

Find the total surface . ?

a)

10.30cm²

b)

130cm³

c)

144cm²

d)

130cm²

24.

Find the area

a)

8 ft²

b)

8 ft³

c)

4 ft²

d)

4 ft³

25.

Find the area.

a)

27.3 mi²

b)

54 mi²

c)

27 mi²

d)

54.6 mi²

26.

How do you find the AREA of a TRIANGLE?

a)

Length x Width divided by 2

b)

Length x width

c)

1/3 (Length x width)

d)

Base x Height

27.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

28.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

29.

What is the surface area? $S.A.=4\pi r^2,\ where\ r\ is\ the\ radius.$

a)

6658.56 mm²

b)

452.39 mm2

c)

904.32 mm²

d)

108.8 mm²

30.

The surface area is the.......

a)

Filling in a 3 dimensional shape

b)

wrapping the outside of a 3 dimensional shape

31.

What is this formula?

a)

suface area of a cone

b)

surface area of a sphere

c)

volume of a cone

d)

volume of a sphere

32.

What is the surface area of the sphere? $S.A.=4\pi r^2,\ where\ r\ is\ the\ radius.$

a)

50.265 ft2

b)

25.133 ft²

c)

100.512 ft²

d)

4 ft²

33.

Find the surface area. $S.A.=4\pi r^2,\ where\ r\ is\ the\ radius.\ Remember\ to\ cut\ the\ diameter\ in\ half.$

a)

51.3 cm²

b)

153.9 cm²

c)

615.8 cm²

d)

538.8 cm²

34.

Surface area:

a)

81 m²

b)

297 m²

c)

108 m²

d)

216 m²

35.

Area of a Parallelogram

a)

A = 1/2h(b1 +b2)

b)

A = bh

c)

A = 1/2bh

36.

The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the surface area.

a)

300 inches

b)

200 inches

c)

275 inches

37.

What is the surface area if you were to wrap this square pyramid?

a)

23 sq. meters

b)

27 sq. meters

c)

33 sq. meters

d)

36 sq. meters

38.

Find the AREA of this figure.

a)

160 square feet

b)

161 feet

c)

106

d)

1600 feet

39.

What is the area of the rectangle?

a)

15 sq cm

b)

15 cm

c)

2

d)

16 cm

40.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

41.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

42.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

43.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

44.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

45.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

46.

Find the Volume of the Cylinder

a)

1178 ft³

b)

4712 ft³

c)

7069 ft³

d)

3534 ft³

47.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

48.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

49.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

50.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

51.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

55.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

56.

What is tan(A)?

a)

a/c

b)

b/c

c)

a/b

d)

b/a

57.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

58.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

59.

Side a on a right triangle is ALWAYS the longest side.

a)

true

b)

false

60.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

61.

Sides a and b are called legs.

a)

true

b)

false

62.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

63.

Name the longest side of a right triangle.

a)

leg a

b)

leg b

c)

leg

d)

hypotenuse

64.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

65.

Find the volume.

a)

364

b)

1092

c)

546

d)

182

66.

Find the volume.

a)

12789

b)

2131.5

c)

4263

d)

609

67.

Find the volume.

a)

408

b)

4352

c)

2176

d)

544

68.

Find the volume.

a)

4620

b)

5390

c)

735

d)

539

69.

Which equation can be used to find the volume of this figure?

a)

Vol = (8 x 8 x 9) (1/3)

b)

Vol = (8 x 9) ( 8)

c)

Vol = (1/3 x 8 x 9) (9)

d)

Vol = (1/2 x 8 x 9) (8)

70.

Find the volume of the prism.

a)

585 cm²

b)

585 cm³

c)

27 cm³

d)

27 cm²

71.

What is the volume of this prism?

a)

24 cubic cm

b)

240 cubic cm

c)

60 cubic cm

72.

What is the equation you use to find the volume of a rectangular pyramid?

a)

V= 1/2 (bh)

b)

V= 1/3 (bh)

c)

V= 1/3(base)(length)(height)

d)

V= 1/2(base)(length)(height)

73.

To find the volume of a rectangular pyramid, you must first find the area of the rectangular base then multiply by the height of the pyramid finally, dividing by 3.

a)

True

b)

False

74.

Find the slope

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

75.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

76.

Find the slope

a)

2

b)

-2

c)

1/2

d)

-1/2

77.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

78.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

79.

What is the rate of change?

a)

time on a graph

b)

points

c)

slope

d)

nonsense

80.

On the coordinate plane, which line is the x-axis?

a)

Horizontal Line (Side to Side)

b)

Vertical Line (Up and Down)

81.

On the coordinate plane, which line is the y-axis?

a)

Horizontal Line (Side to Side)

b)

Vertical Line (Up and Down)

82.

Describe the movement of the slope

a)

down 1, down 2

b)

up 1, right 2

c)

right 1, up 2

d)

right 1, down 2

83.

What is the movement of the slope

a)

Down 5, right 2

b)

Left 5, up 2

c)

Up 5, left 2

d)

Down 5, Left 2

84.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

d)

center

85.

In slope intercept form (y=mx+b) what is the "b"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

86.

In slope intercept form (y=mx+b) what is the "m"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

87.

What is the slope of the equation?

y = -3x + 4

a)

-3

b)

4

c)

-4

d)

3

88.

Which of the following is in slope-intercept form?

a)

y=10x-7

b)

y-5=3(x-1)

c)

5x-y=12

d)

6x+2y-15=0

89.

Given the equation y = 2x+3, what is the slope?

a)

2

b)

x

c)

3

d)

y

90.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

91.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

92.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

93.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

94.

Determine the slope.

a)

m=1/7

b)

m=-1/7

c)

m=-7

d)

m=7

95.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

96.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

97.

In this isosceles triangle, what is the length of x?

a)

8√2

b)

$\frac{8}{\sqrt{2}}$

c)

16

d)

8

98.

Which is the length of v in this 30-60-90 triangle?

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

99.

In this 30-60-90 triangle, what is the length of the long leg?

a)

6√2

b)

3√3

c)

12

d)

6√3

100.

What is the length of x in this picture?

a)

45

b)

5√2

c)

90

d)

5

101.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

102.

What is the rule for a 45-45-90 triangle?

a)

$x,\ x,\ x\sqrt{2}$

b)

$x,\ x\sqrt{3},\ 2x$

103.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

104.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

Math Models Fall Exam

Total questions: 104

Worksheet time: 5hrs 19mins

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