Math for - Turtle: Conditional Statements

  1. A small robotic explorer is at coordinates (3, 4) on a grid. It moves 5 units to the right (in the positive x-direction) and then 2 units down (in the negative y-direction). What are its new coordinates?

  2. An automated vehicle is initially facing East (which we can consider as 0°). It makes a 90° turn to its left. Then, it makes another 45° turn to its right. What is its final orientation in degrees, measured counter-clockwise from East? (Assume counter-clockwise is positive angle and clockwise is negative angle or subtract from current orientation).

  3. A plotter pen starts at point A(1,1). It moves to point B(1,6), and then from point B to point C(5,6). What is the total length of the path drawn from A to C? Assume grid units are centimeters.

  4. A point M is located at (-2, 5). If this point is moved to a new location M' such that its x-coordinate is increased by 7 and its y-coordinate is decreased by 3, what are the coordinates of M'?

  5. A robotic arm sorts items based on their length.

    • If an item's length is greater than 15 cm, it is placed in Bin A.
    • If the length is between 10 cm (inclusive) and 15 cm (inclusive), it is placed in Bin B.
    • If the length is less than 10 cm, it is placed in Bin C.

    An item of length 17 cm arrives, followed by an item of 12 cm, and then an item of 8 cm. Which bin is each item placed into?