Lines and Angles
find the distance between points x and y
X: (6,3)
Y: (11,15)
13
What is the perimeter of an isosceles triangle given that the sides 5 units long and half of the base measures to 4 units?
18
Find the area of a square with a side length of 4.
16
What is the circumference of a circle with an area of 36π?
12π
What is the volume of a sphere with a radius of 3?
36π
What is the slope of the line perpendicular to the line given by the equation
6x – 9y +14 = 0
-3/2
Kathy and Jill are traveling from their home to the same destination. Kathy travels due east and then after traveling 6 miles turns and travels 8 miles due north. Jill travels directly from her home to the destination. How miles does Jill travel?
10 miles
Amy is building a rectangular patio in her backyard. She plans on making the patio 8 feet wide by 12 feet long. The rectangular bricks she is using are 6 inches long and 4 inches wide. How many bricks will Amy need to build her patio?
576
What is the angle between the hour and minute hand of a clock at 4:15?
37.5 degrees
A large cube is made by fitting 8 smaller, identical cubes together. If the volume of each of the smaller cubes is 27, what is the surface area of the large cube?
216
A line in the x-y plane passes through the points (3,5) and (–2, 4). Another line does not pass through the origin, and does not have the same intercept as the first line. If the two lines are perpendicular, what is the slope of the second line?
-5
An acute Isosceles triangle has two sides with length 'a' and one side length 'b'. The length of side a= 39 ft. If the length of b= half the length of side a, what is the perimeter of the triangle?
10 inches
Quantity A: The area of a rectangle with a perimeter of 40
Quantity B: The area of a triangle with a perimeter of 40
The relationship cannot be determined with the information given
An ant walks around the edge of circular pizzas left on the counter of a pizza shop. On most days, it is shaken off the pizza before it manages to walk the complete distance.
Quantity A: The distance covered by the ant when walking over four slices of a pizza with a diameter of 12 and 10 equally-sized pieces.
Quantity B: The distance covered by the ant when walking over a complete personal pizza with a diameter of 6 inches.
Quantity B is larger
A sphere has a surface area of 16π square inches. If the radius is doubled, what is the surface area of the larger sphere?
64π in^2
There is a line defined by two end-points, (11,−5) and (a,b). The midpoint between these two points is (−6,−21). What is the value of the point (a,b)?
(-23,-37)
If the height of the equilateral triangle is 4√2, then what is the length of a side of an equilateral triangle?
8√6 / 3
One rectangle has a height of 12 and a width of 5. Which of the following is a possible perimeter of a similar rectangle, having one side that is 24?
68
A group of students ate an 11-inch pizza that was cut into 14 equal slices. What was the angle measure needed to cut this pizza into these equal slices?
180 degrees/7
The volume of a cube is 64in^3. If the side length of this cube is tripled, what is the new volume?
1728 in^3
What is the other endpoint of a line segment with one point that is (6,8) and a midpoint of (14,1)?
(22,-6)
One side of an equilateral triangle is equal to 1
Quantity A: The area of the triangle.
Quantity B: 12
Quantity B is greater
Square PQRS is on a coordinate plane, and each side of the square is parallel to either the x-axis or y-axis. Point P has the coordinate (−2,−1) and Point R has the coordinate (3,4).
Quantity A: The area of square PQRS
Quantity B: 24
Quantity A is greater
Quantity A: The diameter of a circle with area of 109π
Quantity B: The diameter of a circle with circumference of 22π
Quantity B is larger
A cylinder with volume of 192π in^3 and a radius of 4in has its radius doubled. What is the volume of the new cylinder?
768π in^3