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52 questions
Kelvin is at his house located at (3,4) on a coordinate plane and walks to the store located at (1,0). The store is located exactly half way between kelvin's house and Mitch's house. To the nearest tenth, what is the distance between Kelvin's house and Mitch's house?
4.2
4.5
5.7
8.9
A circular sidewalk is being constructed around the perimeter of a local park. A brick pathway will be added through the diameter of the circle as shown on the coordinate plane below. A tree will be planted in the sidewalk at the enter of the circle. What is the x-coordinate where the tree will be planted?
2
3
4
4.5
In the figure below, lines k, m, and n are parallel. What is the sum of measure of angle 1 and angle 2?
80 degrees
100 degrees
180 degrees
200 degrees
What regular polygon has an exterior angle that measures 60 degrees?
Square
Regular hexagon
Regular pentagon
Equilateral triangle
You are trying to prove that quadrilateral EFGH is a square. You have already proven that all four sides are congruent. Which statement, if true, would prove EFGH is a square
The diagonals are congruent
The opposite sides are congruent.
The opposite angles are congruent.
The adjacent angles are supplementary.
Polygon STUVW is shown. After polygon STUVW is reflected across the y-axis, what are the coordinates of S', the image of point S after the transformation?
(-5, -2)
(-5, 2)
(5, -2)
(5, 2)
volume = 34πr3 A solid-glass sphere is cast with a radius of 30cm. What is the volume, to the nearest whole number, of this sphere?
3,768 cm^3
63,585 cm^3
113,040 cm^3
339,120 cm^3
This is a drawing of Jeff's yard. There is a circular fish pond near one corner. The diameter of the pond is 12 ft. How many square feet of grass are necessary to cover everything except the pond in Jeff's yard?
4,648 ft^2
4,987 ft^2
5,548 ft^2
5,887 ft^2
The diameter of a tractor tire is 5 feet. Rounded to the nearest hundredth, how far will the tractor move when the wheel rotates once?
7.85 ft.
15.70 ft.
19.63 ft.
78.50 ft.
An engineer designed the steel beam shown. The horizontal parts that form the top and bottom are parallel. To build the cross pieces, the engineer needs to know the measure of the angles shown. The m<1 = 110 degrees and the m<2 = 105 degrees. What are the m<3 & m<4?
m∠3 = 70⁰ & m∠4 = 65⁰
m∠3 = 65⁰ & m∠4 = 70⁰
m∠3 = 110⁰ & m∠4 = 105⁰
m∠3 = 105⁰ & m∠4 = 110⁰
What is the measure of angle E in the parallelogram EFGH?
35 degrees
55 degrees
145 degrees
155 degrees
A meter stick is held perpendicular to the ground. It forms a shadow that is 1.8m long. At the same time, a flagpole forms a shadow that is 7.2m long. How tall is the flagpole?
.25m
4m
9m
12.96m
For quadrilateral ABCD, what is the value of x?
15
40
45
65
Which theorem can be used to show that the two triangles below are congruent? (AAA, ASA, SAS, SSS)
AAA
ASA
SAS
SSS
Jeff lives on Oak Street. Tom lives on Main Street. How much farther, to the nearest yard, is it for Tom to walk down Main Street and turn on Oak Street to get to Jeff's house than if he travels the shortest distance between the houses through an empty field.
46 yd
48 yd
126 yd
172 yd
The perimeter of the square shown is 36. What is the length of the diagonal, x?
6
9
6√2
9√2
Triangle JKL is translated 4 units left and 5 units up. What are the coordinates of the image of point J?
(2, 6)
(3, -3)
(-6, 6)
(-2, 6)
Two parallel lines, m and n, are cut by a transversal, t, as shown in the figure. If m<2 = 2x + 7 and the m<7 = 3x - 13, what is the measure of <7?
20 degrees
37 degrees
47 degrees
133 degrees
The following information is known about the quadrilateral ABCD. Which must be true of quadrilateral ABCD?
ABCD is a rhombus
ABCD is a rectangle
ABCD is a trapezoid
ABCD is a parallelogram
How much paper is needed to cover a rectangular bulletin board that is 29 in. wide and 37 in. high?
132 in^2
536.5 in^2
957 in^2
1,073 in^2
A scale drawing of a side of a house is shown. What is the best estimate of the area of the side of the house?
700 ft^2
850 ft^2
1,000 ft^2
1,250 ft^2
The arrow on the graph represents the needle on a compass. The needle is rotated 180 degrees in the clockwise direction. What are the coordinates of point A after the rotation?
(-8, -6)
(-8, 6)
(-6, -8)
(6, -8)
Frances bought a new refrigerator to replace her old one as shown. Her new refrigerator has the same length and width as the old refrigerator, but is 8 inches higher. How many more cubic inches of space are in Frances's new refrigerator compared to her old one? V = b*h*l
8,640 in^3
14,880 in^3
17,856 in^3
25,440 in^3
A cereal box is 10.4 inches high, 7.4 inches long, and 2.3 inches wide. What is the volume of the cereal box rounded to the nearest cubic inch? v=b*h*l
77 in^3
140 in^3
177 in^3
236 in^3
John measured the sides of four triangles. He measured the side lengths of one triangle incorrectly. Which triangle was measured incorrectly?
Triangle A, with sides measuring 6, 6, and 15.
Triangle B, with sides measuring 8, 9, and 10
Triangle C, with sides measuring 1, 18, and 18
Triangle D, with sides measuring 11, 15, and 24
Mari created the circular window shown. She knows that angle 1 and angle 2 are supplementary and that angle 1 and angle 3 are congruent because they are vertical angles. What must be true about angle 2 and angle 3?
<2 and <3 are congruent.
<2 is complementary to <3
<2 is supplementary to <3.
<2 and <3 are both right angles.
A company is planning to sell juice boxes as presented by the figure shown. What is the total surface area of the box?
330 cm^2
380 cm^2
430 cm^2
550 cm^2
Joe's garden is the shape of a hexagon. The measures of 5 of the angles are: 160, 90, 60, 160, and 80 degrees. What is the measure of the remaining angle?
110 degrees
120 degrees
160 degrees
170 degrees
Shawn has a greenhouse in the shape as shown. He keeps hew plants in the room represented by the shaded area. What is the perimeter of the room that is shaded?
74 ft
86 ft
93 ft
130 ft
Which 3-d shape can be formed from the net below?
Cube
Pyramid
Prism
Cylinder
Figure MNOP is an isosceles trapezoid, and figure MNOR is a parallelogram. If the m<MPR = 62 degrees, what is the m<RMP?
56 degrees
62 degrees
118 degrees
136 degrees
What is the value of x for the triangle shown?
sqrt(2)
12 sqrt(2)
12 sqrt(3)
24
For TriangleXYZ, QR || XZ. What is the length of RY?
3
12
13
16
Hannah cut a quadrilateral from a piece of cardboard with the diagonals having the following characteristics:
congruent, perpendicular, and bisect each other. Which type of quadrilateral must Hannah have cut out?
parallelogram
rectangle
rhombus
square
Using the figure shown, what is the measurement of angle BAC?
37 degrees
53 degrees
62 degrees
65 degrees
An insulated foam sleeve is made to fit over a water pipe. The distance from the center of the water pipe to the edge of the sleeve is 6 inches. The hole in the center has a radius of 3 inches. What is the area of the face of the foam sleeve? Use pi = 3.14.
9.42 in^2
18.84 in^2
84.78 in^2
141.30 in^2
If PQRS is a rhombus, which statement must be true?
Angle PSR is a right angle
PR is congruent QS
Angle PQR is congruent to angle QRS
PQ is congruent to QR
The measure of each exterior angle of a regular polygon is 45 degrees. How many sides does the polygon have?
4
5
8
9
Which parts must be congruent to prove triangle PQR is congruent to triangle PSR by SAS?
<Q is congruent to <S, and QP is congruent to SP
<Q is congruent to <S, and QR is congruent to SR
<QRP is congruent to <SRP, and QP is congruent to SP
<QPR is congruent to <SPR, and QP is congruent to SP
In the diagram shown of triangle ABC,
AB is congruent to AC
m<A = 3x
m<B = x+20
What is the value of x?
10
28
32
40
In Triangle PQR, PQ = 8, QR = 12, and RP = 13. List the angles of the triangle from greatest to least.
Angle Q is greater than Angle P, and Angle P is greater than Angle R
Angle R is greater than Angle P, and Angle P is greater than Angle Q
Angle Q is greater than Angle R, and Angle R is greater than Angle P.
Angle P is greater than Angle R, and Angle R is greater than Angle Q
The diagram shows a part of a roof. The highest part of the roof is called the apex. How many feet above the base is the apex of the roof?
8
9
12
20
In the diagram shown, ABCD is similar to EFGH.
If AB/EF = 3/2 and the perimeter of ABCD is 12, what is the perimeter of EFGH?
27
18
15
8
In the figure shown, k is parallel to m. What is the value of y?
15
70
115
120
If a cube with a side length of 6 inches has its dimensions divided in half, what will be the volume of the new cube?
108 cubic inches
54 cubic inches
27 cubic inches
9 cubic inches
What is the area, in square inches, of the triangle shown?
25
25 sqrt(3)
50
50 sqrt(3)
A new pipeline is being constructed to re-route its oil flow around the exterior of a national wildlife preserve. The plan showing the old pipeline and new route is shown in the diagram. About how many extra miles will the oil flow once the new route is established?
24
68
92
160
If triangle ABC is rotated 180 degrees about the origin, what are the coordinates of A'?
(-5, -4)
(-5, 4)
(-4, 5)
(-4, -5)
A right triangular pyramid has a height of 10 inches and a base area of 41.57 square inches. What is the volume, in cubic inches, of the pyramid? v=1/3 b h
138.56
207.85
277.13
415.69
A model rocket is launched. It rises to a point 36 feet above ground, and is 48 feet along the ground from the lift-off site, as shown in the diagram. What is the length of the rocket's path in the air, to the nearest foot?
12
36
60
120
In the figure shown, triangle EGH is congruent to triangle IKJ. What is the measure of <IJK?
10 degrees
30 degrees
100 degrees
130 degrees
Darcy used a coordinate grid shown to sketch the locations of some important buildings in her town. Each block represents 1 square mile. If Darcy could travel in a straight line from her house to school, how many miles would she travel?
5.1 miles
6.3 miles
8.2 miles
9.1 miles
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