General Math 2 Lesson 4
Solve for X in the diagram. (9^2 + 12^2 = x^2) a.) 14 b.) 37 c.) 15 d.) 25
15
Store space in a shopping mall is often rented by the square foot. What's the area of a rectangular jewelry store that is that is 12 feet wide and 18 feet long? a.) 288 square feet b.) 576 square feet c.) 68 square feet d.) 216 square feet
216 square feet
What's the radius of a circle with an area of 64 square feet? a.) 4.51 ft. b.) 41.5 ft. c.) 5.41 ft. d.) 20.38 ft.
4.51 ft.
What's the area of a square computer screen with 21-inches sides? a.) 441 sq. in. b.) 42 sq. in c.) 84 sq. in. d.) 220 sq. in.
441 sq. in.
What's the correct name for the triangle below? a.) Equilateral triangle b.) Isosceles triangle c.) Scalene triangle d.) Right triangle
Right triangle
Which type of triangle has one angle with a measurement greater than 90 degrees? a.) Right b.) Isosceles c.) Acute d.) Obtuse
Obtuse - An obtuse triangle contains one obtuse angle. An obtuse angle measures more than 90°. The remaining two angles in the triangle are always acute.
What's the proper name of the quadrilateral below? a.) Rectangle b.) Parallelogram c.) Triangle d.) Square
Parallelogram
What's the length of side b in the figure below? (a^2 + 7^2 = 13^2) a.) Square root of 218 cm b.) Square root of 6 cm c.) Square root of 91 cm d.) Square root of 120 cm
Square root of 120 cm
What's the area of an equilateral triangle with sides of inches and height of 7 inches? a.) 44 sq. in. b.) 20 sq. in. c.) 35 sq. in. d.) 70 sq. in.
35 sq. in.
In the following below, the cube- shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inches high. How much greater is the volume of the cube-shaped box than the rectangular box? a.) 50 cubic inches b.) 56 cubic inches c.) 60 cubic inches d.) 66 cubic inches
56 cubic inches
The width of a rectangle is 4 inches and the length is 9 inches. What is the length of a side of a square that has the same area as the rectangle? a.) 6 inches b.) 4 inches c.) 9 inches d.) 3 inches
6 inches - To find the area of the rectangle, substitute the given values into the formula A = lw. Then, substitute 36 inches squared into the formula A = s2. Find the square root of both sides of the equation to find s.
The diameter of a round dinner plate is 10 inches. What's the area of the plate? a.) 78.5 square inches. b.) 39.25 inches c.) 39.25 square inches d.) 314 square inches
78.5 square inches.
If the area of a square is 64 square cm, what's the length of one side? a.) 4 cm b.) 8 cm c.) 32 cm d.) 16 cm
8 cm
A/an _______ triangle as all three angles measuring less than 90 degrees. a.) scalene b.) acute c.) obtuse d.) right
acute - An acute triangle contains three acute angles. Acute angles measure less than 90°.
The base of a triangle is 21 inches and the height is 12 inches. Which of these expressions correctly shows how to calculate the area of a triangle? a.) (21 × 12) ÷ 2 b.) (21 × 12) × 2 c.) (21 + 12) × 2 d.) (21 + 12) ÷ 2
(21 × 12) ÷ 2 - Use the area formula to find the area of the triangle. A = (b × h) ÷ 2
Find the volume of a cylinder with a diameter of 10 inches and height of 20 inches. a.) 6,280 cu. in. b.) 1,570 cu. in. c.) 705 cu. in. d.) 62.8 cu. in
1,570 cu. in.
The area of a circle is 78.5 cm2. What is the diameter of the circle? a.) 10 cm b.) 5 cm c.) 12.5 cm d.) 39.25 cm
10 cm - Substitute 78.5 cm^2 for A and 3.14 for pi. Solve for r, then multiply r by 2 to get the diameter of the circle.
What is the volume of this figure? a.) 108 cubic feet b.) 16 cubic feet c.) 36 cubic feet d.) 216 cubic feet
108 cubic feet - Use the formula for finding the volume of a rectangular solid to solve the problem. V=lwh
The distance from the center of a compact disc to the edge of the disc is 6 centimeters. What's the area of the compact disc? a.) 18.84 square centimeters b.) 452.16 square centimeters c.) 36 square centimeters d.) 113.04 Square centimeters
113.04 Square centimeters
The diameter of a Frisbee is 12 inches. What's the area of the Frisbee? a.) 113.04 sq. in. b.) 18.84 sq. in. c.) 37. 68 sq. in d.) 452.16 sq. in
113.04 sq. in.
Krissa drew a circle with a radius of 4 inches. Fill in the blanks. The area of the circle is _______ square inches and the circumference is _______ inches. a.) 16π, 8π b.) 8π, 16π c.) 64π, 16π d.) 16π, 64π
16π, 8π - The area of a circle is found by multiplying pi by the square of the radius of the circle. The circumference of a circle is found by multiplying 2 by pi and the radius of the circle.
Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of the pipe? a.) 23 feet b.) 17 feet c.) 289 feet d.) 120 feet
17 feet
What's the volume of a cube-shaped box with edges 6 cm in length? a.) 18 cm^3 b.) 36 cm^3 c.) 1,296 cm^3 d.) 216 cm^3
216 cm^3
What's the area of the triangle below? (A = bh/2 - A = 6 x 8 divided by 2) a.) 48 Square meters b.) 7 Square meters c.) 24 Square meters d.) 96 Square meters
24 Square meters
An earthquake was felt throughout a circular area of 1,808.64 square miles. What was the radius of the circular area? a.) 24 miles b.) 20 miles c.) 12 miles d.) 576 miles
24 miles
If the area of a circle is 58 square feet, find the circumference. a.) 22.35 ft. b.) 26.99 ft c.) 42.5 ft d.) 4.25 ft.
26.99 ft
What is the volume of a cube with a side length of 3 inches? a.) 27 cubic inches b.) 12 cubic inches c.) 27 square inches d.) 12 square inches
27 cubic inches - Set up an equation using the formula for V = lwh. The answer will be in cubic inches.
What's is the radius of a circle with an area of 32.1 square feet? a.) 3.20 ft. b.) 5.23 ft. c.) 10.22 ft. d.) 4.75 ft
3.20 ft.
The floor of a rectangular deck has an area of 600 square feet. The floor is 20 feet wide. How long is the floor? a.) 30 ft. b.) 45 ft. c.) 15 ft. d.) 20ft.
30 ft.
Look at this right triangle. Which of these could be the first step to find the value of c? a.) 40^2 + 9^2 = c^2 b.) (40 + 9)^2 = c^2 c.) 40 + 9 = c d.) 40^2 + 9^2 = c
40^2 + 9^2 = c^2 - The missing side in this triangle is the hypotenuse. Substitute the known values into the Pythagorean theorem, and solve for c.
What's the radius of a circle with an area of 123 square feet? a.) 39.17 fr. b.) 3.14 ft. c.) 26.32 ft. d.) 6.26 ft.
6.26 ft.
Find the circumference of a circle if the area is 300 square centimeters. a.) 9.77 cm b.) 84.74 cm c.) 56.25 cm d.) 61.38 cm
61.38 cm
The area of a square piece of cardboard is 81 square inches. What is the length of the cardboard? a.) 9 inches b.) 10 inches c.) 8 inches d.) 20.25 inches
9 inches
A triangle with all sides of equal length is a/an _____ triangle. a.) Isosceles b.) Scalene c.) Right d.) Equilateral
Equilateral - An equilateral triangle has three equal sides, and the three angles are also equal. Each of the three angles in an equilateral triangle measures 60°.
A cylinder has a radius of 4 inches and a height of 5 inches. Which of these dimensions of a cylinder will have the same volume? a.) Radius: 2 inches Height: 20 inches b.) Radius: 10 inches Height: 8 inches c.) Radius: 8 inches Height: 5 inches d.) Radius: 20 inches Height: 60 inches
Radius: 2 inches Height: 20 inches - Use the formula V = πr^2h to solve the problem.
What's the proper name of this quadrilateral? a.) Parallelogram b.) Rhombus c.) Trapezoid d.) Square
Trapezoid
Crystal drew a quadrilateral with two sets of parallel, equal sides. Which shape did she draw? a.) a rectangle b.) a trapezoid c.) a rhombus d.) a triangle
a rectangle - A rectangle has two sets of parallel, equal sides.
Carolyn drew a rhombus ABCD. Fill in the blanks. (Line segment BC) ________________ (Line segment AD) and (Line segment AB) _____________ (Line segment DC). a.) is parallel to, is equal to b.) is parallel to, is not equal to c.) is not parallel to, is not equal to d.) is not parallel to, is equal to
is parallel to, is equal to - A rhombus has two sets of parallel sides. All four sides are equal in length.
