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A. 39 B. 42 C. 55 D. 59 E. 63

1. Cynthia, Peter, Nancy, and Kevin arre all carpenters. Last week each built the following number of chairs. Cynthia—36 Peter—45 Nancy—74 Kevin—13 What is the average number of chairs they built?. A. 39 B. 42 C. 55 D. 59 E. 63.

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A. 39 B. 42 C. 55 D. 59 E. 63

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  1. 1. Cynthia, Peter, Nancy, and Kevin arre all carpenters. Last week each built the following number of chairs. Cynthia—36 Peter—45 Nancy—74 Kevin—13 What is the average number of chairs they built? A. 39 B. 42 C. 55 D. 59 E. 63

  2. How could number sense help you solve this problem?

  3. 2. There are 600 school children in the Lakeville district. If 54 of them are high school seniors, what is the percentage of high school seniors in the Lakeville district? A. 2.32% B. 0.9% C. 9% D. 11% E. 90%

  4. What are the three types of percentage problems your students will see?

  5. 3. Susan’s take-home pay is $300 per week, of which she spends $80 on food and $150 on rent. What fraction of her take-home pay does she spend on food? A. B. C. D. E.

  6. What part of this problem will cause students to give a wrong answer?

  7. 4. Which of the following expresses the prime factorization of 54? A. 9 x 6 B. 3 x 3 x 6 C. 3 x 3 x 2 D. 3 x 3 x 3 x 2 E. 5.4 x 10

  8. What are the only two possibilities and why?

  9. 5. The number 1134 is divisible by all of the following except A. 3 B. 6 C. 9 D. 12 E. 14

  10. What are some divisibility rules that help you here?

  11. 6. When is an integer? A. Only when a is negative B. Only when a is positive C. Only when a is odd D. Only when a equals 0 E. Only when a is even

  12. A calculator would help students working the last problem. True False

  13. 7. On Friday, Jane does one-third of her homework. On Saturday, she does one-sixth of the remainder. What fraction of her homework is still left to be done? A. B. C. D. E.

  14. What is it about this problem that assures lots of incorrect answers?

  15. 8. If the ratio of 2x to 5y is 1:20, what is the ratio of x to y? A. 1:40 B. 1:20 C. 1:10 D. 1:8 E. 1:4

  16. Work this problem three different ways.

  17. 9. If the area of circle A is 16π, then what is the circumference of circle B if its radius is one-half that of circle A? A. 2π B. 4π C. 6π D. 8π E. 16π

  18. What percentage of your students will correctly answer that geometry problem?

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