Math 8 EOG Test Prep NCSCOS Goals 2 & 3 Quiz
1. If the length of a rectangle is doubled, what will happen to its area?
A) The area will be the same.B) The area will be twice as large.
C) The area will be three times as large.D) The area will be four times as large.
2. The Green Plant Food Company packages plant food in cylindrical shaped containers that are 10 cm tall and have a diameter of 7 cm. The company plans to double the radius but keep the height of a similar container when they begin manufacturing and packaging fish food this fall. What effect will this change have on the volume of the container?
A) The new volume will be 1½ times the original volume.
B) The new volume will be twice the original volume.
C) The new volume will be three times the original volume.
D) The new volume will be four times the original volume.
3.A hole shaped like a rectangular prism is 3 feet wide, 5 feet long, and 3 feet deep. If the hole is made 2 feet deeper, by how much will the volume of the hole increase?
A) 30 cubic feetB) 75 cubic feetC) 90 cubic feetD) 130 cubic feet
4. A 5 × 7 photo is enlarged so that its new dimensions are 10 × 14. How does the area of the enlarged photo compare to the area of the original photo?
A) The area of the enlarged photo is five units² larger than the area of the original.
B) The area of the enlarged photo is seven units² larger than the area of the original.
C) The area of the enlarged photo is two times the area of the original photo.
D) The area of the enlarged photo is four times the area of the original photo.
5. The side measures of a cube are tripled. What is the ratio of the surface area of the original cube to the surface area of the larger one?
A) 1 : 3B) 1 : 6C) 1 : 9D) 1 : 12
6. At noon, the shadow of a flagpole is 19 feet long. At the same time, the shadow of a 12-foot high wall is 4 feet long. What is the height of the flagpole?
A) 48 feetB) 57 feetC) 62 feetD) 75 feet
7. Karissa’s shadow is 8 feet long, and she is 5.5 feet tall. At the same time of day, a building casts a 20-foot shadow. Which proportion can be used to find the height, h, of the building?
A) B) C) D)
8. What is the maximum number of cubes with a side length of 2 inches that can fit in a box that measures 6 inches × 2 inches × 4 inches?
A) 48 cubesB) 24 cubesC) 12 cubesD) 6 cubes
9. Jake wanted to measure the length,, of a pond, so he drew this diagram of similartriangles. What is the approximate length,, of the pond?
= 5 ft., = 7 ft., = 18 ft.
A) 25 ftB) 19 ftC) 18 ftD) 13 ft
10. The hypotenuse of a right triangle measures 20.75 inches, and one of the legs measures 17 inches. What is the approximate length of the other leg of the triangle?
A) 2 inchesB) 7 inchesC) 12 inchesD) 27 inches
11. A ladder leans against the side of a building. The base of the ladder is 5 meters from the building, and the top is 12 meters above the ground. What is the length of the ladder?
A) 11 metersB) 13 metersC) 17 metersD) 169 meters
12. What is the approximate length of the diagonal of a square with side length of 20 cm?
A) 14.1 cmB) 20.0 cmC) 25.0 cmD) 28.3 cm
13. Jamie is meeting Susan at her house. First, Jamie walks 112 meters east. Then, he turns and walks 66 meters north to Susan’s house. If Jamie took the most direct route possible from his house to Susan’s house, how far would he walk?
A) 130 metersB) 178 metersC) 112 metersD) 66 meters
14. Refer to problem #13. To the nearest meter, how much distance does Jamie save by walking the most direct route?
A) 48 metersB) 96 metersC) 66 metersD) 178 meters
15. ▲PLM is dilated using a scale factor of ½. The original vertices were as follows: P(2, 2), L(6, 2), and M(6, 6). What ordered pair reflects the location of L’?
A) (3, 1)B) (1, 3)C) (3, 3)D) (12, 4)
16. A triangle has the following vertices: (-1, 1), (6, -2), (3, 5). If the triangle undergoes a dilation with a scale factor of 3, what will be the vertices of the image?
A) (-3, 3), (18, -6), (9, 15)B) (3, 3), (18, 6), (9, 15)
C) (-3, 3), (18, 6), (9, 15)D) (3, 3), (18, -6), (9, 15)
17. Triangle A has vertices at (2, 3), (6, 1) and (6, 6). Triangle A’ has vertices at (⅔, 1), (2, ⅓), and (2, 2). What is the scale factor of the dilation?
A) ⅓B) ½C) 2D) 3
18. Rhombus Z’X’C’V’ is produced by dilating Rhombus ZXCV by a scale factor of 4. The vertices are located as follows: Z(-1, 1), X(2, 5), C(5, 1) and V(2, -3). What is the length of the diagonal X’V’? Hint: Use the Cartesian Plane to graph the image.
A) 2 unitsB) 8 unitsC) 12 unitsD) 32 units
19. A coffee can has a height of 8 inches and a radius of 3 inches. It is three-fourths full. By volume, how much coffee is in the can?
A) about 57 in³B) about 130 in³C) about 170 in³D) about 226 in³
20. Triangle ABC has vertices at A (2, 2), B (2, 7), and C (6, 3). This triangle is dilated by a scale factor of 3. What is the location of point C’?
A) (2, 1)B) (6, 6)C) 6, 21)D) (18, 9)
21. The diagonal of a square television screen measures 27 inches. What is the approximate length of the screen?
A) 13 inB) 15 inC) 19 inD) 21 in
22. A tree has a shadow 12 feet long. At the same time, John, who is five feet tall, has a shadow 4 feet long. If Sherry wants to find the height of the tree, which proportion should she use?
A) B) C) D)
Mr. J. Grossman