A treasure map is drawn to a scale of 2 inches = 3 miles. On the map, the distance between Point A and X- marks-the-spot is 91/2 inches.How many actual miles does this represent?
Answer(s): B
If 2 inches = 3 miles, then 1 inch equals 11/2 miles: 3 ÷ 2 = 1.5. Multiply 11/2 miles × 91/2 inches to determine the actual distance: 1.5 × 9.5 = 14.25 or 141/4 miles.
A painter has painted a picture on a piece of canvas that measures 10 × 14 inches. In order to accommodate a frame, he has left an unpainted margin of 1 inch all the way around.What part of the canvas has been painted?
Answer(s): A
The area of the entire piece of canvas = 10 inches × 14 inches = 140 square inches. The portion painted on equals 8 inches × 12 inches = 112 square inches. (This is determined by subtracting 1 inch from the length of each side to account for the margin.) The portion used for painting can be expressed as a fraction: 112⁄140. Reduce this fraction (divide 112 by 140) to determine that 80% of the canvas is covered with paint.
A dog trainer is building a dog run that measures 9 × 16 feet.If she wants to fence the perimeter of the run, how many feet of chain link fence will she need?
Answer(s): D
Calculate perimeter by adding the lengths of all four sides of a quadrilateral: 9 + 9 + 16 + 16 = 50 feet.
A rectangle is 11⁄2 times as long as it is wide. The perimeter of the rectangle is 100 inches. What’s the length of the rectangle?
The formula for the perimeter of a rectangle is P = 2L + 2W. In this case, P = 100 and L = 1.5W. 100 = 2(1.5W) + 2W100 = 3W + 2W100 = 5W W = 100⁄5 W = 20.The width of the rectangle is 20 inches. Because the length is 11⁄2 the width, 1.5 × 20 = 30.
Miguel passed seven of his history class quizzes and failed three.The fraction of quizzes he passed is correctly expressed as .
Answer(s): C
The total number of quizzes is 10. If he passed seven of them, the fraction would be expressed as 7⁄10.
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