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Math 6 Geometry

Total questions: 86

Worksheet time: 5hrs 24mins

Name
Class
Date
1.

A solid or three-dimensional shape which has 6 square faces, with the following properties: all edges are equal; 8 vertices; 12 edges; and has 6 faces.

(a)  

2.

A polyhedron with six congruent square faces, has twelve edges and eight vertices.

(a)  

3.

This is a polyhedron that has two opposite bases that are congruent and parallel. Its lateral faces are rectangles. The lateral faces of a right prism are rectangles and they are perpendicular to the bases.

(a)  

4.
To plot the point (-3, 4), which of the following is true?
a)
From the origin, 3 units right and 4 units up
b)
From the origin, 3 units right and 4 units down
c)
From the origin, 3 units left and 4 units up
d)
From the origin, 3 units left and 4 units down
5.
If a square has a length of 6 inches on each side, what is the perimeter of the square?
a)
12 inches
b)
24 inches
c)
36 inches
6.
The base of a parallelogram is 8 in and the height is 9 inches.  What is the area of the parallelogram?
a)
17 square inches
b)
34 square inches
c)
72 square inches
d)
85 square inches
7.
The base of a triangle is 10 inches and the height of the triangle is 12 inches.  What is the area of the triangle?
a)
60 square inches
b)
22 square inches
c)
120 square inches
d)
36 square inches
8.
If two angles are complementary, they add up to ____.
a)
90 degrees
b)
180 degrees
9.
Which ordered pair is located on an axis?
a)
(1, 4)
b)
(2, -3)
c)
(0, 5)
d)
(-6, -4)
10.
A rectangular prism has a length of 7 cm, a width of 6 cm and a height of 4 cm.  What is the volume of the prism?
a)
17 cubic cm
b)
24 cubic cm
c)
100 cubic cm
d)
168 cubic cm
11.
An angle which measures less than 90 degrees is called an _______ angle.
a)
acute
b)
right
c)
obtuse
12.
A net of a pyramid contains many triangles.
a)
True
b)
False
13.
The point ( 5, -4 ) is located in which quadrant?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
14.
A triangle has a base of 5 inches and a height of 11 inches.  What is the area of the triangle?
a)
55 square inches
b)
27.5 square inches
c)
16 square inches
d)
45 square inches
15.
An angle whose measure is 90 degrees is called a ______ angle.
a)
acute
b)
right
c)
obtuse
16.
When two lines do not intersect, the lines are called ________ lines.
a)
parallel
b)
perpendicular
c)
slanted
d)
scalene
17.
A triangle with 2 sides congruent is called an ______ triangle.
a)
scalene
b)
isosceles
c)
equilateral
18.
When 2 angles add up to 180 degrees, we call them _________ angles.
a)
complementary
b)
supplementary
19.
To plot the point ( 0, -4 ), which directions should be followed:
a)
From the origin, move 4 units left and 0 units up.
b)
From the origin, move 4 units right and 0 units up
c)
From the origin, move 0 units right and 4 units up
d)
From the origin, move 0 units right and 4 units down
20.
A parallelogram has an area of 36 square units.  If the base of the parallelogram is 9 units, what is the height?
a)
2
b)
3
c)
4
d)
6
21.
A prism is different than a pyramid because it has a top and a bottom.
a)
True
b)
False
22.
An angle whose measure is more than 180 degrees is called an ________ angle.
a)
acute
b)
right
c)
obtuse
23.
A triangle with all sides congruent is called an ______ triangle.
a)
scalene
b)
isosceles
c)
equilateral
24.
The point A is located 3 units left of the origin and 3 units down.  What are the coordinates of the point?
a)
( 3, 3)
b)
(-3, 3)
c)
(-3, -3)
d)
(3, -3)
25.
A hexagonal prism's net will include 6 triangles.
a)
True
b)
False
26.
A triangle has a base of 1 1/2 and a height of 4.  What is the area of the triangle?
a)
6 square inches
b)
9 square inches
c)
12 square inches
d)
3 square inches
27.
An octagon has how many sides?
a)
4
b)
5
c)
6
d)
8
28.
A regular hexagon has sides which measure 5.35 inches.  What is the perimeter of the hexagon?
a)
26.75 inches
b)
32.1 inches
c)
21.4 inches
d)
42.8 inches
29.
A rectangular prism has a length of 6 inches, a width of 9 inches and a height of 12 inches.  What is the volume of the prism?
a)
27 cubic inches
b)
186 cubic inches
c)
648 cubic inches
d)
942 cubic inches
30.
The length of a rectangle is 16 inches.  The width of the rectangle is 10 inches.  What is the perimeter of the rectangle?
a)
52 inches
b)
26 inches
c)
80 inches
d)
72 inches
31.
The area of a parallelogram is 54 square inches.  If the base of the parallelogram is 6 inches, what is the height of the parallelogram?
a)
60 inches
b)
14 inches
c)
9 inches
d)
11 inches
32.
A flower garden is shaped like a triangle.  If the base of the triangle is 8 feet and the height is 9 feet, what is the area of the garden?
a)
17 square feet
b)
72 square feet
c)
24 square feet
d)
36 square feet
33.
What quadrant is the point ( -4, 5 ) located in?
a)
I
b)
II
c)
III
d)
IV
34.
A line segment that passes through the center of a circle, connecting two points on a circle is called ________________.
a)
diameter
b)
radius
c)
circumference
d)
area
35.
A line segment that connects two points in a circle without passing through the centre
a)
Radius
b)
Sector
c)
Segment
d)
Chord
36.

What is the name for the distance around (the perimeter of) a circle?

a)

Diameter

b)

Radius

c)

Circumference

d)

Chord

37.

A line connecting any two points on a circle is a

a)

Chord

b)

Radius

c)

Diameter

d)

Segment

38.
Given a circle with a diameter of 10 m, what is the radius?
a)
10 m
b)
5 m
c)
20 m
d)
15 m
39.

Is the line shown a radius or diameter of the circle?

a)

Radius

b)

Diameter

40.

Is the line shown a radius or diameter of the circle?

a)

Radius

b)

Diameter

41.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
42.
Identify the following angle as acute, right, straight, or obtuse:
a)
acute
b)
right 
c)
straight
d)
obtuse
43.
Identify the following angle as acute, right, straight, or obtuse:
a)
acute
b)
right
c)
straight
d)
obtuse
44.
Identify the following angle as acute, right, straight, or obtuse:
a)
acute
b)
right
c)
straight
d)
obtuse
45.

What is the measurement of this angle? Is it acute or obtuse?

a)

Obtuse - 145 degrees

b)

Acute - 145 degrees

c)

Obtuse - 35 degrees

d)

Acute - 35 degrees

46.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

congruent angles

47.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
48.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
49.

What is the measure of the following angle? Is it acute or obtuse?

a)

Acute - 56 degrees

b)

Obtuse - 56 degrees

c)

Acute - 124 degrees

d)

Obtuse - 124 degrees

50.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
51.

What is the sum of angles 3 and 4?

a)

180 degrees

b)

90 degrees

c)

360 degrees

d)

You can't tell without numbers

52.

What is the relationship between angles 3 and 4 in the previous problem?

a)

adjacent

b)

vertical

c)

complementary

d)

congruent

53.

If angle 3 is 50 degrees, what is angle 2?

a)

180 degrees

b)

130 degrees

c)

40 degrees

d)

50 degrees

54.

What is the measure of the missing angle?

a)

39

b)

129

c)

119

d)

61

55.

What is the best classification for the angles shown in the previous question?

a)

Linear Pair

b)

Complementary angles

c)

Vertical angles

d)

Congruent angles

56.

What do the angles in a triangle add up to?

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

Depends on the triangle

57.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
58.

Which type of triangle is pictured? The hash marks indicate sides that are the same length.

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

59.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
60.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
61.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

acute scalene

c)

obtuse scalene

d)

equilateral

62.

Area of triangle?

a)

20 cm2

b)

56 cm2

c)

28 cm2

d)

27 cm2

63.
Find the area of the trapezoid.
a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2
64.
What is the area of the trapezoid?
a)
24 square u
b)
30 square u
c)
28 square u
d)
20 square u
65.
What is the area?
a)
28 in squared
b)
35 in squared
c)
20 in squared
66.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
67.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
68.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
69.
A cereal box is 12cm tall.  The area of the base is 7cm.  What is the volume?
a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
70.
 A rectangular prism has a length of 11.8 meters, a width of 4 meters, and a height of 5 meters. What is the volume of the prism?
a)
2360 m3
b)
23.6 m
c)
23.6 m3
d)
236 m3
71.

Hailey is shipping wooden cubes with a side length of 4 inches in the wooden box shown. What is the greatest number of cubes Hailey can pack in the box and still be able to close the lid?

a)

256 cubes

b)

270 cubes

c)

4,104 cubes

d)

508 cubes

72.

Which expressions can be used to determine the area of the figure. Select each correct expression.

a)

(6 x 3) + (4 x 3)/2

b)

(10 x 3) - (5 x 3)/2

c)

(6 x 3) + (10 x 5)

d)

(6 x 3 ) + 1/2(5 x 4)

e)

(10 x 3) - 1/2(4 x 3)

73.

A right rectangular prism, with is packed with identical cubes. The dimensions of the prism are given in terms of the number of cubes needed to fill the prism. The side length of each cube is 1/4 inch. What is the volume, in cubic inches, of the right rectangular prism?

a)

828 cubic inches

b)

51 3/4 cubic inches

c)

3,312 cubic inches

d)

55 cubic inches

74.

What is th length, in feet, of the base of the triangle?

a)

2425\frac{24}{25}

b)

2524\frac{25}{24}

c)

23\frac{2}{3}

d)

32\frac{3}{2}

75.
a)

9 139\ \frac{1}{3}

b)

4 234\ \frac{2}{3}

c)

2 7122\ \frac{7}{12}

d)

2 132\ \frac{1}{3}

76.
a)

86.6

b)

43.3

c)

32.48

d)

10.83

77.
a)

14

b)

24

c)

28

d)

48

78.
a)

5.29

b)

6.9

c)

8.027

d)

12.167

79.
a)

91.0

b)

169.0

c)

253.5

d)

274.6

80.
a)

10

b)

60

c)

120

d)

240

81.
a)

19

b)

30

c)

38

d)

62

82.
a)

5x + 2y

b)

x + y + z

c)

5x + 2y + z

d)

(5 + 2 + 1)(x + y + z)

83.
a)

7

b)

10

c)

13

d)

18

84.
a)

12, 18, 24

b)

3, 4, 8

c)

3, 4, 6

d)

2, 9, 12

85.
a)

44

b)

96

c)

108

d)

120

86.
a)

20

b)

60

c)

100

d)

140

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