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CRVA Math II Segment 2 Exam Part I

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  • What is the AREA of the circle? (use 3.14 for pi)
    A = pi x r squared = 3.14 x 2x2 = 12.6 square inches
  • A coin is flipped 70 times and lands on tails 21 times. What is the relative frequency of the coin landing on tails?
    21/70 or 30%
  • A scale drawing of a computer lab shows length of 32 feet and width of 48 feet. If each 8 feet of the lab equals 2 centimeters on a scale drawing, what are the dimensions of the scale drawing?
    length: 4 x 2 cm = 8 cm, width: 6 x 2 cm = 12 cm. Answer: 8 cm x 12 cm
  • Jay has a deck of 60 baseball and football cards. They pull out a card randomly, records its type, and replaces it. Jay pulls out 6 baseball cards and 9 football cards. What is the likely number of football cards in the deck?
    9 out of 15 = ? out of 60. So... 36 football cards
  • The dimensions of a poster are shown. What is the AREA of the poster after it is scaled up by 2.5?
    20 inches x 25 inches = 500 square inches
  • Jay has a deck of 60 baseball and football cards. They pull out a card randomly, records its type, and replaces it. Jay pulls out 6 baseball cards and 9 football cards. What is the likely number of baseball cards in the deck?
    6 out of 15 = ? out of 60. So... 24 football cards
  • What is the value of x?
    11 degrees
  • A rectangular pyramid is shown. What shape is a cross section parallel (horizontal) to the base?
    Rectangle
  • The dimension of a poster are shown. What us the AREA of the poster at a scale of 1/2?
    5 inches x 4 inches = 20 square inches
  • The chance that it will thunderstorm is 28%. What is the chance that it does not thunderstorm?
    100% - 28% = 72%
  • The lengths of two sides of a triangle are 14 inches and 4 inches. Which of the following dimensions can be the possible third side of this triangle? 8, 9, 10, or 11 inches
    11 inches (the two smaller sides must sum greater than the longest side)
  • Grogu is flipping a coin. What is the theoretical odds that it lands heads up on the fifth flip?
    1/2 or 50%
  • What is the perimeter of the track? (use 3.14 for pi) *hint: use the circumference of a full circle*
    C=pi x diameter. pi x 27 + 54 + 54 = 192.78 inches
  • The dimension of a poster are shown. What are the dimensions at a scale of 1/2?
    width: 5 inches, length: 4 inches
  • Ava is rolling a regular six-sided die. What is the theoretical probability of landing on a number less than 3?
    2/6 of 1/3 or 33%
  • BONUS (25 points plus a treat from Mr. Vail): A random point is chosen inside the large circle as shown. What is the theoretical probability that the point is NOT inside the shaded region?
    Area of large circle: 78.5. Area of small circle: 12.56. 78.5 - 12.56 = 65.94 (white space). 65.94/78.5 = 0.84 or 84%
  • What is the value of x?
    11 degrees
  • The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle?
    A = 1/2 x b x h = 1/2 x 4 x 2 = 4 square feet
  • The dimensions of a poster are shown. What is are the dimensions of the poster after it is scaled up by 2.5?
    width: 25 inches, length: 20 inches
  • Ava is rolling a regular six-sided die. What is the theoretical probability of landing on a number greater than 6?
    0%
  • A rectangular pyramid is shown. What shape is a cross section perpendicular (vertical) to the base?
    Triangle
  • The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 6 inches?
    A = 1/2 x b x h = 1/2 x ? x 6. Base = 8 inches
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