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Exam #2 Review Problems - Mathematics Content for Elementary | GRED 565, Exams of History of Education

Material Type: Exam; Professor: Abramovich; Class: ELEM MATH-CONTENT & METHODS; Subject: EDUCATION - GRADUATE; University: SUNY-Potsdam; Term: Fall 2000;

Typology: Exams

Pre 2010

Uploaded on 08/09/2009

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GRED 565 ---- Fall 2000
REVIEW PROBLEMS FOR TOPIC EXAM 2.
There will be 9 tasks (extended response mathematics questions) with multiple choice answers.
1) What percent of 40 is 12?
Solution: (12/40)x100=120/4=30%
2) What percent of 40 is 28?
Answer: 70%.
3) In the set of 60 calculators 16 are TI-81s, 29 are TI-84s and the rest are TI-92s. What
percent of the calculators is TI-92s? What is the ratio of TI-92s to the rest of the
calculators?
Answer: 25%; 1/3.
4) Kelly’s class of 30 students has 18 boys. What is the boys to girls ratio in the class?
After spring recess three girls were transferred to another school. What is the new girls to
boys ratio in Kelly’s class?
Answer: 3/2; 1/2.
5) Among 20 buttons, 6 are red. What percent of the buttons is red? What percent of the
buttons is not red?
Answer: 30%, 70%.
6) A school has students to computers ratio equal 5/2. If the number of students is 100,
how many computers are in the school? 10 new computers were purchased. Find the new
students to computers ratio? What is the new computers to students ratio?
Answer: 40 computers; 2 to 1 (or 2) ; 1 to 2 (or 1/2).
7) Among 40 students, 16 are boys? What percent of the students are boys? What percent
of the students are girls?
Answer: 40%, 60%.
8) There are 12 girls and 8 boys in Jerry’s class. What would be the probability of
drawing a boy’s name from a hat containing the names of all class members? Two girls
from the class were transferred to another school after a break. Find the probability of
drawing a boy’s name from a hat containing the names of all class members except the
two girls.
Instructor Sergei Abramovich
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GRED 565 ---- Fall 2000 REVIEW PROBLEMS FOR TOPIC EXAM 2. There will be 9 tasks (extended response mathematics questions) with multiple choice answers.

  1. What percent of 40 is 12? Solution: (12/40)x100=120/4=30%
  2. What percent of 40 is 28? Answer: 70%.
  3. In the set of 60 calculators 16 are TI-81s, 29 are TI-84s and the rest are TI-92s. What percent of the calculators is TI-92s? What is the ratio of TI-92s to the rest of the calculators? Answer: 25%; 1/3.
  4. Kelly’s class of 30 students has 18 boys. What is the boys to girls ratio in the class? After spring recess three girls were transferred to another school. What is the new girls to boys ratio in Kelly’s class? Answer: 3/2; 1/2.
  5. Among 20 buttons, 6 are red. What percent of the buttons is red? What percent of the buttons is not red? Answer: 30%, 70%.
  6. A school has students to computers ratio equal 5/2. If the number of students is 100, how many computers are in the school? 10 new computers were purchased. Find the new students to computers ratio? What is the new computers to students ratio? Answer: 40 computers; 2 to 1 (or 2) ; 1 to 2 (or 1/2).
  7. Among 40 students, 16 are boys? What percent of the students are boys? What percent of the students are girls? Answer: 40%, 60%.
  8. There are 12 girls and 8 boys in Jerry’s class. What would be the probability of drawing a boy’s name from a hat containing the names of all class members? Two girls from the class were transferred to another school after a break. Find the probability of drawing a boy’s name from a hat containing the names of all class members except the two girls. Instructor Sergei Abramovich

Answer: 2/5; 4/9.

  1. Consider numbers (numerals) 9, 8, and 7. How many 3-digit numbers can be made using these numerals? How many 4-digit numbers can be made using numbers 0, 9, 8, and 7? Explain your answer. Answer: 27; 192.
  2. The area of a rectangle is 56 square centimeters. One side of the rectangle is 8 cm long. Find the length of the other side of this rectangle. Find the perimeter of this rectangle. Answer: 7cm; 30cm.
  3. Among all rectangles with whole number sides and perimeter 64 cm, one rectangle has the largest area and one rectangle has the smallest area. What is the largest area and what is the smallest area? Explain your answer. Answer: 256 square cm; 31 square cm.
  4. Draw three geometric shapes with at least one line of symmetry. Draw three geometric shapes with no lines of symmetry.
  5. A spinner pictured below is spun. What is the probability of landing on a) red region; b) pink region; c) blue or green regions; d) not on pink region? Answer: 1/3; 1/6; 1/2; 5/6.
  6. Course Materials: Problems 7F and 7H on p. 64. Instructor Sergei Abramovich GREEN PINK BLUE RED