1.Generalize the pattern by finding the nth term.
A) 3n
B) 2n + 1
C) n + 2
D) (n + 1)(n + 2)
2- If the radius of a cylinder is doubled and the height is tripled, what happens to the volume?
A)It is multiplied by 6.
B) It is multiplied by 12.
C) It is multiplied by 18.
D) It is multiplied by 64.
3- A person walking down the street notices their shadow in front of them. If the angle of elevation from the tip of their shadow to the sun is 60° and the length of their shadow is 5 feet, what is the distance from the top of their head to the tip of their shadow (round to 2 decimal places)?
A) 3.89 feet
B) 5.77 feet
C) 10.00 feet
D) 17.18 feet
4-A group of cubes are arranged in a pattern with the same number of cubes in each row and column. There are 225 cubes in the shape. How many cubes are in one row?
A) 15
B) 25
C) 56
D) 75
5-The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each angle.
A) 23°, 41°, and 56°
B) 33°, 61°, and 86°
C) 63°, 121°, and 176°
D) 93°, 181°, and 266°
6- x2 = 16, therefore x = 4. Is this a valid conclusion? If no, give a counterexample.
A) YES
B) NO; x = 8
C) NO; x could be -4
D) NO; x = -8
7- A diver stands on level ground 50 feet from the base of the 12 foot high dive. What is the approximate measure of the angle of elevation between the diver and the diving board (round to the nearest whole number)?
A) 12°
B) 13°
C) 14°
D) 15°
8- How do the volume formulas for right prisms and pyramids differ?
A) They are the exact same.
B)The volume of a prism is 1/3 the volume of a pyramid.
C) The volune of a prism is 3 times the volume of a pyramid.
D) For a prism you multiply the area of the base by the height, but for a pyramid you multiply the area of the base by the slant height.
9-On a test Sally has a right prism with a base area of 13 cm2 and a height of 12 cm. She also has a pyramid with a base area of 15 cm2 and a height of 10 cm. Which figure has the larger volume and by how much?
A) The pyramid by 4 cubic units.
B) The pyramid by 106 cubic units.
C) The right prism by 4 cubic units.
D) The right prism by 106 cubic units.
10-Which type of transformation does NOT result in a figure that is congruent to the original one?
A) Dilation
B) Reflection
C) Rotation
D) Translation