DRILL 3

Question 1

There are 32 students in Jamie’s eighth-grade class. Each student took a 50-point test; the class average (arithmetic mean) was 82% correct. The teacher has assigned one 4-point, extra-credit question. How many students will need to answer the extra-credit question correctly in order to bring the class average to 86% correct?

    15

    16

    17

    All of the students

    It will not be possible for the class to reach an average of 86% correct.

Question 2

Vinay and Phil are driving in separate cars to Los Angeles, both leaving from the same place and traveling along the same route. If Vinay leaves at 1 a.m. and travels at 40 miles per hour, and Phil leaves at 5 a.m. and travels at 50 miles per hour, at what time does Phil catch up to Vinay?

      1 p.m.

      5 p.m.

      7 p.m.

      9 p.m.

    11 p.m.

Question 3

A set of six numbers consists of x, x + 3, x + 5, x + 7, x + 11, and x + 13. What is the median of this set, in terms of x ?

      x + 5

      x + 6

      x + 6.5

    3x + 8

    6x + 39

Question 4

Damon rolls three six-sided dice. What is the probability that his total will be greater than 16 ?

Question 5

John will spend the summer in one of the houses either on Surf Street or Breaker Way. Surf Street has 1 landside house and 4 beachside houses, and Breaker Way has 1 beachside house and 2 landside houses. A sea turtle randomly lays eggs in front of a beachside house on Surf Street, and another sea turtle randomly lays eggs in front of a beachside house on Breaker Way. What are the probabilities that a sea turtle lays its eggs in front of John’s house, depending on which street he lives on?

    

    

    

    

    

Question 6

If x equals all prime numbers that satisfy the inequality

what is the average value of x ?

Question 7

Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21}

In Set A above, if positive integer x is subtracted from the 3 largest numbers in the list and x is added to the 3 smallest even numbers in the list, which of the following will be true ?

Indicate all such values.

    The average of the set will increase by x.

    The average of the set will decrease by x.

    The average of the set will stay the same.

    There will be no mode in the new set.

    The standard deviation of the set will stay the same.

    The median of the set will stay the same.

    The median of the set will increase by x.

Question 8

Alejandra took five Spanish quizzes and scored a total of 227 points. Nigel took the same quizzes and scored a total of 189. What is the difference between Alejandra’s average score and Nigel’s average score?

Question 9

Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

      71

      86

      91.5

      97

    397.5

Question 10

There are 40 marbles in a jar. If of the marbles are blue, of the remaining marbles are red, and 10 marbles are green. If a marble is selected at random, then what is the probability that the marble will not be blue, red, or green?

Question 11

During a sales contest at a local electronics store, 65 employees sold a total of $91,000 worth of merchandise. If the standard deviation of sales among those employees was $130 and the sales were normally distributed, what percentage of employees sold $1270 or more worth of merchandise?

    28%

    50%

    65%

    84%

    98%

Question 12

On the most recent test in stats class, Jamal scored x points and Raya scored 73 points. If the average of Cliff and Raya’s scores is 79 points, and the average of Jamal and Cliff’s scores is 89, then x =