Academic Worksheet 6.6
A map has a scale of 1 inch : 12 miles. Use the given map distance to find the actual distance.
1. 25 inches
2. ¾ inch
3. 2 ½ inches
A map has a scale of 1 centimeter : 6 kilometers. Use the given actual distance to find the distance on the
map.
4. 90 kilometers
5. 3.6 kilometers
6. 2.7 kilometers
Write the scale without units.
7. 1 in. : 30 yd
8. 1 cm : 65 m
9. 1 mm : 32 cm
10. On a map, the distance between two cities is 4 ½ inches. What is the actual distance in miles between
the two cities if the map’s scale is 1 inch : 80 miles?
11. In a scale drawing, a wall is 1 ½ inches long. The actual wall is 12 feet long. Find the scale of the
drawing.
12. A scale model of a football stadium has a scale of 1 :360.
a. The actual length of the football field including the end zones is 120 yards. How long in inches
is the football field in the model?
b. How many times the length of the model is the length of the actual stadium?
Academic Worksheet 11.9
In Exercises 1 – 6, tell whether the events are independent or dependent. Then find P(A and B).
1. You randomly choose a marble from a bag of 8 green marbles and 5 blue marbles. You randomly draw
another marble without replacing the first marble.
Event A: You draw a blue marble.
Event B: You draw a blue marble.
2. You randomly choose a marble from a bag of 7 green marbles and 4 blue marbles. You replace the
marble and draw another.
Event A: You draw a green marble.
Event B: You draw a blue marble.
3. You are beginning a 1000-piece jigsaw puzzle that is in the shape of a rectangle. You randomly choose
a piece from the box.
Event A: You pick a corner piece.
Event B: You pick another corner piece.
4. In a class of 23 students, a gym teacher randomly chooses a student for a demonstration. From the
remaining students, the teacher randomly chooses another student.
Event A: You are chosen.
Event B: Your friend is chosen.
5. You roll a number cube two times.
Event A: You roll an odd number on the first roll.
Event B: You roll a 4 on the second roll.
6.
A weather forecaster says that there is a 25% chance of rain today and a 55% chance of rain
tomorrow.
Event A: It rains today.
Event B: It rains tomorrow.
7. Each week you have a surprise quiz in your social studies and science classes. Find the probability that
both quizzes will be given on the same day next week.
8. You roll two number cubes. What is the probability that the first number cube shows a prime number
and the second number cube shows a number greater than 4?
9. In a box of 10 parts, 3 of the parts are defective. You randomly choose a part, then you randomly draw
a second part without replacing the first part. Find the probability that both parts are defective.