math-8 exam [e-br7htl] lpms measurement and geometry · a height of 80 centimeters. rectangular...
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MATH-8
LPMS Measurement and Geometry
Exam not valid for Paper Pencil Test Sessions
[Exam ID:BR7HTL
1 The angle relationship between ∠∠∠∠DEC and ∠∠∠∠BEC is —
A supplementary anglesB complementary anglesC congruent anglesD vertical angles
2 In each of the following figures, transversal c cuts lines a and b. In which figure are
∠∠∠∠1 and ∠∠∠∠2 corresponding angles?
A
B
C
D
3
In this figure, two rays intersect at point X . The measure of ∠∠∠∠AXB is 32°. The figure is not necessarily drawn to scale.
What is the measure of ∠∠∠∠BXD ?A 148°B 58°C 90°D 122°
4 A new roller skating rink was just built in Charlottesville. The owner is putting a
hand rail around the perimeter of the rink. Approximately how many meters of railing is needed?
A 144 metersB 240 metersC 255 metersD 288 meters
5 If CE intersects DF at X , which angle must be congruent to ∠∠∠∠CXD?
A ∠FXDB ∠DXEC ∠CXFD ∠FXE
6 A figure was rotated 180° clockwise about the origin.
Which is most likely the new figure?
A
C
B D
7 The hypotenuse of a right triangle is 16 cm and one leg is 6 cm. What is an
approximate length of the second leg?A 15 cmB 13 cmC 10 cmD 17 cm
8
A 25 foot ladder leans against a house. How far is the foot of the ladder from the base of the building if the top of the ladder is 20 feet from the ground?A 18 ftB 15 ftC 10 ftD 20 ft
9
Which correctly names the hypotenuse of the triangle pictured?A ∠APZB PZC APD ∠PZA
10 Click on a box to choose each angle you want to select. You must select all correct angles.
Look at the angles.
Identify each angle that is adjacent to Angle 2.
Angle 1 Angle 3 Angle 4 Angle 5
11 What are the measures of two complementary angles if the difference of their
measures is 18°?A 36°, 54°B 81°, 99°C 86°, 94°D 41°, 49°
12 In the figure, if has a measure of 37o, what is the measure of ?
o
13 Which pair of angles is supplementary?
A
B
C
D
14 Which of the triangles described in the table is a right triangle?
A Triangle QB Triangle RC Triangle SD Triangle T
15 This solid figure is constructed with seven cubes.
Which shape represents the top view of this three-dimensional solid?
A
B
C
D
16
Which pair of angles are NOT adjacent?A Angles 7 and 8 B Angles 5 and 6C Angles 3 and 4D Angles 1 and 2
17 A figure has the bottom and left-side views shown, and its front view is shaded.
Which represents the figure?
A C
B D
18 In the figure shown, m ∠∠∠∠1 = (4x + 12)° and m ∠∠∠∠2 = (6x + 8)°.
What is m∠∠∠∠1 ?A 50°B 20°C 76°D 40°
19 Mrs. Johnson would like to carpet two rooms in her home.
How much carpet will she need?A 236 m2B 180 m2C 204 m2D 148 m2
20 What is the volume of the cylinder below?
A 678.24 cm3B 2,034.72 cm3C 339.12 cm3D 8,138.88 cm3
21 Reflect the figures across the y -axis.
Which is most likely the new figure?
A C
B D
22 Tonya leaves home on her motorcycle and travels 12 miles east and 7 miles
north. How far is Tonya from her original starting point?
A 193 milesB 9.8 milesC 13.9 milesD 19 miles
23
The volume of —A Prism B is 20 times the volume of Prism AB Prism A is equal to the volume of Prism BC Prism B is 10 times the volume of Prism AD Prism A is half the volume of Prism B
24 Which is closest to the surface area of a cone with dimensions as shown?
A 207 mm2B 75 mm2C 113 mm2D 66 mm2
25 What is the surface area of the rectangular prism shown?
A 40 cm2B 158 cm2C 120 cm2D 79 cm2
26 This Pyramid of Giza has a square base with an area of 12,000 square feet. The area
of one of its triangular sides is 7,000 square feet. What is the total surface area of this pyramid?
A 19,000 square feetB 40,000 square feetC 38,024 square feetD 30,000 square feet
27 Raymond needs to cover the entire surface of this square-based pyramid with paper.
What is the minimum amount of paper he will need?A 276 sq ftB 408 sq ftC 528 sq ftD 672 sq ft
28 Directions: Type your answer in the box.
What type of transformation occurred to map polygon PQRS to polygon P'Q'R'S' in the graph?
29 The original polygon, before it gets transformed, is called the ________________ .
A transferenceB negative imageC preimageD positive image
30 If all measurements of the right prisms and cylinders are in inches, which container
has the greatest volume?
A C
B D
31 Rectangular prism A has a length of 200 centimeters, a width of 120 centimeters, and
a height of 80 centimeters. Rectangular prism B is 10 times smaller in volume. If only one dimension is different from rectangular prism A, which of the following could NOT be the surface area of prism B?A 53,120 sq cmB 20,480 sq cmC 38,720 sq cmD 27,200 sq cm
32 The legs of a right triangle measure 9 inches and 12 inches. What is the length of the
hypotenuse of this triangle?A 3 in.B 15 in.C 21 in.D 8 in.