Average Problems( Week 23 Evaluation) 1. There are 6 math exams during the semester. Tom has taken 5 exams so far and the scores were 82, 81, 80, 84, and 95. What will Tom need to score on his final math exam to have an average score of 87 for the semester? 2. There are 3 groups of numbers. The first group has 5 numbers with an average of 6. The second group has 4 numbers with an average of 7 and the third group has 11 numbers with an average of 13. What is the average of all these numbers? 3. The average of 46 numbers is 11. One of numbers was then changed to 10. The average of all the numbers becomes 8 now. What was the number before it was changed? 4. There are 9 numbers. Their average is 12. The average of the first 4 numbers is 7. The average of the last 6 numbers is 17. What is the 4th number? 5. Consecutive numbers are natural numbers that follow in order, such as 1,2, 3, 4, 5,..., and so forth. Suppose the average of 17 consecutive numbers is 19. What is the average of the first 9 numbers in the set? 6. The average of 9 numbers is 19. Let the 1st number increases by 3, the 2nd number by 6, the 3rd number by 9, the 4th number by 12 ... and the 9th number by 27. What is the average of all the increased numbers? 7. The average score of a math exam is 86 in a class. The average score of the 22 girls in the class is 87 for the exam. The average score of the boys in the class is 84 for the exam. How many boys are there in the class? 8. There are 2 groups of numbers. The first group has 5 numbers with an average of 6. The second group has 7 numbers with an average of 7. What new number can be added to the 2 groups of numbers to make all 13 numbers have an average of 7? 9. There are a total of 10 exams for the chemistry class in the semester. Emily got an average of 84 in the first 4 exams and 88 in the following 4 exams. What is the average she will need to score in the remaining exams in order to get an average of 85 for the semester? 10. What is the average of all three-digit numbers that are multiples of 13? |