Perform

Now that you’ve seen the variety of ways in which the SAT can test your geometry skills, try the following questions to check your understanding. Give yourself 5 minutes to answer the following four questions. Make sure you use the Kaplan Method for Math as often as you can. Remember, you want to emphasize speed and efficiency in addition to simply getting the correct answer.

  1. During a camping trip, Aundria and Annette decide to climb a mountain using two different routes to the top. Aundria takes the hiking route that travels 5 miles south, 6 miles east, 7 miles south, and 2 miles west to the summit; Annette uses the climbing route that starts at the same point as the hiking route but goes directly from there to the summit. Assuming vertical travel distance is not considered, about how many miles in all will the two travel?

    1. 32.65
    2. 33.42
    3. 34.00
    4. 34.42
  2. sat_c13_cb_16.eps

    Note: Figure not drawn to scale.

    ΔABC above has an area of 150 square units. If , then what is the length of  ?

    1.   5
    2. 12
    3. 16
    4. 20

  3. After the local Pie-Athon, John brought home several different kinds of pie in a single 10-inch diameter pie tin. The portion that each type of pie takes up in the tin is shown above. What is the area, in square inches, of the portion of leftover pie that is not strawberry rhubarb?

    1.   9π
    2. 16π
    3. 36π
    4. 64π

  4. Marcus has a square sandbox measuring 24 feet across that is currently one-third full of sand from the bottom up. He purchases 96 cubic feet of sand, which, when added to the box, will completely fill it. How many inches deep is the sandbox?

    1. 2
    2. 3
    3. 4
    4. 5