Study Guide for the Instructional Unit 2 Test (Fractions, Decimals and Percent)

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1 Name: Block: Date: Study Guide for the Instructional Unit Test (Fractions, Decimals and Percent) Directions: Read each question carefully. Choose the best answer, or answers, for each question. Work with precision and recheck all calculations for accuracy. Visual models are a good mathematical practice to utilize on this study guide.. What percentage is equal to 6 5? a..% b. % c..6% d. %. Each student was asked to create an expression whose quotient is. Each student and his or her response can be seen in the table below. Student Amy Ben Cohen Megan Robin Response Which three students have answered correctly? Pick up to three answers. a. Amy b. Ben c. Cohen d. Megan e. Robin P a g e

2 3. Look at the chart showing the relationship between decimals, fractions and percent. Determine the missing values for the decimal given. Reduce all fractions to lowest terms. a. Fraction is b. Fraction is c. Fraction is d. Fraction is DECIMAL FRACTION PERCENT % 0.?? = 0 5 = 50 5 = 00 5 = 00 5 ; percent is % ; percent is % ; percent is % ; percent is %. Look at the chart showing the relationship between decimals, fractions and percent. Determine the missing values for the decimal given. Reduce all fractions to lowest terms. DECIMAL FRACTION PERCENT %?? 5% a. Decimal is.5; Fraction is 5 00 = 5 b. Decimal is.5; Fraction is 5 00 = 3 0 c. Decimal is.5; Fraction is 5 00 = 5 d. Percents cannot be written as values greater than 00%. 5. Which two of the following rectangular prisms have a volume of 3? A. B. 9 ft 5 ft ft ft P a g e

3 C. D. 5 ft ft 3 5 ft ft ft E. F. ft ft 3 ft 6. Which two of the following number sentences show the correct method to find 75% of 8? Pick up to answers. a..75 x 0.08 b. 75 x 8 c..75 x 8 75 d. x A right rectangular prism has edges of.5 inches, 5.5 inches and 6.5 inches respectively. How many cubes with side lengths of 0.5 inches would be needed to fill in the prism? Drawing a model may help you to solve this problem. a. 6.5 cubes b cubes c.,57 cubes d.,87 cubes 8. There are 30 students in Mrs. Smith s math class. Of these students, have brown hair, 0 have black hair, 6 have blonde hair and 3 have red hair. What percentage of students in Mrs. Smith s class have red hair? What is the decimal equivalent for that percentage? a. 3%; 0.03 b. 0%; 0. c. %; 0.0 d. 30%; P a g e

4 9. The rectangular prism below is split into cubes, each with an edge length of of an inch. Select all of the following options which show a correct method for finding the volume of the rectangular prism, along with a correct volume calculation. a = in3 b = 5 6 in3 c = 5 in3 d = 7 3 in3 e = 5 in3 f = 5 in3 0. Cynthia is writing invitations for her Halloween party. She plans to invite 5 friends. So far, Cynthia has written 6 invitations. Which two of the following show the percent of invitations Cynthia has written? Pick up to answers. 60 a. 00 b. 60% c. 0% 0 d. 00. Kelly attends Westside Elementary School. She is trying to determine how many students attend her school. Her math teacher gave her this information: 60% of the student population is equal to 6 students. How many students attend Westside Elementary School? a. 567 b. 85 c. 56 d. 70 P a g e

5 . A cube shaped gift box has edges of 6 inches. How many cubes with side lengths of inch would be needed to fill the gift box? Hint: You are calculating to find out how many cubes will fill the box. A model may help you visualize what the box looks like and how many inch cubes will fit along the length, width and height. a.,97 cubes b.,098 cubes c.,39 cubes d. 8,35 cubes 3. Jesse was asked to create a model that would represent 7%. Jesse created the model shown below. How many more squares does Jesse need to fill-in (color) in order to make a model that accurately represents 55%? a. Jesse s model is complete. He does not need to shade any more squares. b. Jesse needs to shade 3 more squares. c. Jesse needs to shade 8 more squares. d. Jesse needs to shade 8 more squares.. Which statement best defines two real numbers as reciprocals, and also shows the reciprocal of 3 5? a. Their sum is one. The reciprocal is 5 3. b. Their sum is zero. The reciprocal is c. Their product is one. The reciprocal is 5 3. d. Their product is zero. The reciprocal is On the diagram shown below, the area of the base equals 0 cm, and the volume of the rectangular prism is equal to 3,960 cm 3. What is the measure of the height in centimeters? a. 8 cm b. 80 cm c. 3,70 cm d cm 5 P a g e

6 6. Sandy s mom is baking dessert for a family party. She baked pans of brownies. Using this information, which two of the following statements are true? a. If she cuts the brownies into pan servings, she will have made enough brownies for 5 people. 8 b. If three more family members show up to the party and the brownies are cut into pan servings, there will be enough to make 8 full servings. c. Sandy s mom bakes more brownies so that they have 9 of a pan. If each serving is pan, they 5 6 will have enough servings to feed all 8 family members. 7. How many 3 cup servings of pretzels are in a bag that contains 33 cups of pretzels? Draw a visual model 8 to show how many servings the bag of pretzels contains Two percents are shown below: 75% of 50 0% of 30 Are these amounts equivalent? Explain why or why not. Use the models to visually explain your reasoning. Model for 75% of 50: Model for 0% of 30: 6 P a g e

7 Name: Block: Date: Study Guide for the Instructional Unit Test - Key (Fractions, Decimals and Percent) Directions: Read each question carefully. Choose the best answer, or answers, for each question. Work with precision and recheck all calculations for accuracy. Visual models are a good mathematical practice to utilize on this study guide.. What percentage is equal to 6 5. a..% b. % c..6% d. %. Each student was asked to create an expression whose quotient is. Each student and his or her response can be seen in the table below. Student Response Amy 3 Ben 8 Cohen 6 Megan 5 3 Robin 3 6 Which three students have answered correctly? Pick up to three answers. a. Amy b. Ben c. Cohen d. Megan e. Robin 3. Look at the chart showing the relationship between decimals, fractions and percent. Determine the missing values for the decimal given. Reduce all fractions to lowest terms. DECIMAL FRACTION PERCENT % 0.?? a. Fraction is b. Fraction is c. Fraction is d. Fraction is = 0 5 = 50 5 = 00 5 = 00 5 ; percent is % ; percent is % ; percent is % ; percent is % 7 P a g e

8 . Look at the chart showing the relationship between decimals, fractions and percent. Determine the missing values for the decimal given. Reduce all fractions to lowest terms. DECIMAL FRACTION PERCENT %?? 5% a. Decimal is.5; Fraction is 5 00 = 5 b. Decimal is.5; Fraction is 5 00 = 5 c. Decimal is.5; Fraction is 5 00 = 5 d. Percents cannot be written as values greater than 00%. 5. Which three of the following rectangular prisms have a volume of ft3? b, d, f 6. Which two of the following number sentences show the correct method to find 75% of 8? Pick up to answers. a..75 x 0.08 b. 75 x 8 c..75 x 8 75 d. x A right rectangular prism has edges of.5 inches, 5.5 inches and 6.5 inches respectively. How many cubes with side lengths of 0.5 inches would be needed to fill in the prism? Drawing a model may help you to solve this problem. a. 6.5 cubes b cubes c.,57 cubes d.,87 cubes 8. There are 30 students in Mrs. Smith s math class. Of these students, have brown hair, 0 have black hair, 6 have blonde hair and 3 have red hair. What percentage of students in Mrs. Smith s class have red hair? What is the decimal equivalent for that percentage? a. 3%; 0.03 b. 0%; 0. c. %; 0.0 d. 30%; The rectangular prism below is split into cubes, each with an edge length of of an inch. Select all of the following options which show a correct method for finding the volume of the rectangular prism, along with a correct volume calculation. 8 P a g e

9 a = in3 b = 5 6 in3 c = 5 in3 d = 7 3 in3 e = 5 in3 f = 5 in3 0. Cynthia is writing invitations for her Halloween party. She plans to invite 5 friends. So far, Cynthia has written 6 invitations. Which two of the following show the amount of invitations Cynthia has written? Pick up to answers. 60 a. 00 b. 60% c. 0% d Kelly attends Westside Elementary School. She is trying to determine how many students attend her school. Her math teacher gave her this information: 60% of the student population is equal to 6 students. How many students attend Westside Elementary School? a. 567 b. 85 c. 56 d. 70. A cube shaped gift box has edges of 6 inches. How many cubes with side lengths of inch would be needed to fill the gift box? Hint: You are calculating to find out how many cubes will fill the box. A model may help you visualize what the box looks like and how many inch cubes will fit along the length, width and height. a.,97 cubes 9 P a g e

10 b.,098 cubes c.,39 cubes d. 8,35 cubes 3. Jesse was asked to create a model that would represent 0%. Jesse created the model shown below. How many more squares does Jesse need to fill-in (color) in order to make a model that accurately represents 55%? a. Jesse s model is complete. He does not need to shade any more squares. b. Jesse needs to shade 3 more squares. c. Jesse needs to shade 8 more squares. d. Jesse needs to shade 8 more squares.. Which statement best defines two real numbers as reciprocals, and also shows the reciprocal of 3 5? a. Their sum is one. The reciprocal is 5 3. b. Their sum is zero. The reciprocal is c. Their product is one. The reciprocal is 5 3. d. Their product is zero. The reciprocal is On the diagram shown below, the area of the base equals 0 cm, and the volume of the rectangular prism is equal to 3,960 cm 3. What is the measure of the height in centimeters? a. 8 cm b. 80 cm c. 3,70 cm d cm 6. Sandy s mom is baking dessert for a family party. She baked pans of brownies. Using this information, which two of the following statements are true? a. If she cuts the brownies into pan servings, she will have made enough brownies for 5 people. 8 b. If three more family members show up to the party and the brownies are cut into pan servings, there will be enough to make 8 full servings. 6 0 P a g e

11 c. Sandy s mom bakes more brownies so that they have 9 of a pan. If each serving is pan, 5 6 they will have enough servings to feed all 8 family members. 7. How many 3 cup servings of pretzels are in a bag that contains 33 cups of pretzels? Draw a visual 8 model to show how many servings the bag of pretzels contains. 3 = 6 servings of pretzels 8. Two percents are shown below: 35% of 50 0% of 30 Are these amounts equivalent? Explain why or why not. Use the models to visually explain your reasoning. They are not equivalent because 6 does not equal 37.5 Model for 35% of 50: Model for 0% of 30: P a g e

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