Cumulative Exam — Cumulative exam Answers

0 verified answers10 views
1
Free Preview

One exterior angle of a regular pentagon has a measure of (2x)°. What is the value of x?

A
x = 18
B
x = 20
C
x = 30
D
x = 36
2
Free Preview

The area of the regular octagon is 10.15 cm2.

Question illustration
A
1.27 cm
B
1.75 cm
C
2.33 cm
D
2.54 cm
3

A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units. The cone has a diameter of 9 and a height of 12. The pyramid and cone have the same height.

Question illustration
A
519π units3
B
681π units3
C
(600π – 81) units3
D
(600 – 81π) units3
4

What is true about △ABC? Select three options

A
AB ⊥ AC
B
The triangle is a right triangle.
C
The triangle is an isosceles triangle.
D
The triangle is an equilateral triangle.
E
BC ∥ AC
5

Circle Y is shown. Chords R T and S U intersect at point Z. Arc S R is 100 degrees and arc T U is 72 degrees.

Question illustration
A
86°
B
94°
C
108°
D
128°
6

A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number.

A
565 square inches
B
580 square inches
C
1,131 square inches
D
1,159 square inches
7

Segment MP is a diameter of circle O.

Question illustration
A
m + 150 = 180
Option A
B
m + 150 = 360
Option B
C
m – 150 = 180
Option C
D
m – 150 = 360
Option D
8

In circle E, and are diameters. Angle BCA measures 53°.

Question illustration
A
53°
B
74°
C
106°
D
180°
9

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

Question illustration
A
units
Option A
B
12 units
C
units
Option C
D
20 units
10

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

A
π more meters
B
2π more meters
C
4π more meters
D
5π more meters
11

On a coordinate plane, a circle has a center at (negative 2, 1).

Question illustration
A
x2 + y2 + 4x – 2y – 4 = 0
B
x2 + y2 + 4x – 2y + 2 = 0
C
x2 + y² – 4x + 2y – 4 = 0
D
x2 + y² – 4x + 2y + 2 = 0
12

Which measurements are correct? Select two options.

A
m = 60°
Option A
B
m = 120°
Option B
C
m = 180°
Option C
D
m∠XWZ = 60°
E
m∠YWZ = 120°
13

An oblique prism has trapezoidal bases and a vertical height of 10 units.

Question illustration
A
10x3 cubic units
B
15x2 cubic units
C
20x3 cubic units
D
30x2 cubic units
14

Consider quadrilateral EFGH.

Question illustration
A
5 units
B
7 units
C
16 units
D
24 units
15

Which statements must be true about the two congruent, shaded figures? Select two options.

A
The figures are rectangles because they are formed inside a rectangle.
B
The figures are rhombi because they are formed by four congruent line segments.
C
The figures are trapezoids because each has exactly one pair of parallel sides.
D
The figures are parallelograms because their opposite sides are parallel.
E
The figures are quadrilaterals because each has four sides.
16

A circular disc has an area that measures between 1,650 and 1,700 square inches.What could be the length of its radius? Use 3.14 for .

Question illustration
A
23 in.
B
24 in.
C
25 in.
D
26 in.
17

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?

A
14
B
16
C
18
D
20
18

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.

Question illustration
A
3 units
B
4 units
C
6 units
D
8 units
20

A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.

Question illustration
A
π(4.53) – (4.5)3
Option A
B
(9)3 – π(4.52)
Option B
C
π(4.53) – (9)3
Option C
D
(9)3 – π(4.53)
Option D

Did you find these answers helpful?