Test Prep Unit Mathematics Grade 5
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1 Stafford Township School District Manahawkin, NJ Test Prep Unit Mathematics Grade 5 Rev 3/2011 1
2 Sample underlining important vocabulary/numbers problems 1. What is the inverse of multiplying by 10? a. Adding 10 b. Subtracting 10 c. Multiplying by 10 d. Dividing by Carlos measured his height to be 68 inches. What is this equivalent to? a. 4 8 b. 5 8 c. 68 feet d What is the sum of the interior angles in a triangle? a. 90 degrees b. 180 degrees c. 270 degrees d. 360 degrees. 2
3 Sample NOT Problems 1. Which of the following steps for adding two fractions is NOT correct? a. Find the least common multiple of the two denominators b. Rewrite the fraction with a common denominator c. Add the numerator and denominator d. Reduce the fraction if necessary 2. Which of the following is NOT a trapezoid? a. c. b. d. 3. The triangles below are congruent. EFG HIJ E H F G I J Which of the following statements is not true? a. EF HI b. IJ FG c. F I d. I J 3
4 Sample Extended Constructed Response Problems 1. Lily, Andrew, and Marcus each earned all the bonus points on a math test. The bonus points were added to each child's original test score to create a final test score. The table below shows the original test score and the final test score for each student. Student Original Test Score Final Test Score Lily Andrew Marcus Part A. Use words to describe how the original test score is different from the final test score of each student. Part B. Write an equation that can be used to describe the pattern in the table, where s represents the original test score and f represents the final test score. Part C. What would be the final test score of a student who scored an 87 on the test and earned all the bonus points? Show your work or explain how you got your answer. 4
5 2. Thomas entered a contest where he had to carry water balloons under his chin. He then had to break the water balloons to try to fill a container with as much water as possible in 2 minutes. The graph below shows how full his container was throughout the contest. Part A. How many seconds did Thomas take to fill the container with 1 pint of water? Part B. How many more seconds did Thomas take to fill the container with another pint of water? Show your work or explain how you got your answer. Part C. How many seconds after the start of the contest would Thomas have taken to fill the container to the 4-pint level? Show your work or explain how you got your answer. 5
6 3. Jonah s house has a patio in the back yard. The length of the patio is 9 feet and the width is 7 feet. Part A. What is the perimeter of Jonah's patio? Part B. Jonah is making his patio wider, and the area will increase by 18 feet. What will be the perimeter of Jonah's patio after he widens it? Explain how you got your answer. 6
7 Sample Multiple-Choice Problems DIRECTIONS: Choose the best of the answer choices given for each of the following problems. You may NOT use a calculator. 1. Last year, the cafeteria at Kyle s school recycled 100 pounds of the trash that was collected. This year was the second year of recycling and the cafeteria recycled twice as much. If the amount of trash the cafeteria recycles doubles each year, how much will be recycled in the fourth year? A. 1,600 pounds B. 800 pounds C. 600 pounds D. 400 pounds 2. Angie ran feet. Vic ran 61.7 feet. How many more feet did Angie run than Vic? A B C D What type(s) of lines form a rectangle? A. parallel only B. perpendicular only C. both parallel and perpendicular D. neither parallel nor perpendicular 7
8 Sample Short Constructed Response Problems 1. A gallon contains 128 ounces. Paul wants to divide 3 gallons of apple cider equally among the 2 dozen friends at his party. How many ounces of apple cider will each friend receive? 2. Mr. Devono has 4 pens, 3 pencils, and 5 erasers. What fraction of Mr. Devono s utensils are erasers? 3. What is rounded to the nearest tenth? 8
9 1. Use your ruler to measure the four lengths below. Length A Length B Length C Length D Which length is between 2 and 3 inches long? A. Length A B. Length B C. Length C D. Length D 2. What is the length of the crayon to the nearest ¼ inch? A. 2 inches B. 2 ¼ inches C. 2 ½ inches D. 2 ¾ inches 3. Use a ruler to measure the sides of this rectangle. Measure to the nearest inch. Which is the perimeter? A. 1 in. B. 2 in. C. 4 in. D. 6 in. 9
10 When not to use manipulatives: 4. Yolanda is putting a book shelf on the wall in her living room. The shelf is 3 feet long. She wants to divide it into 2 equal sections. How long is each section of the shelf? A. 1 ½ feet B. 2 feet C. 2 ½ feet D. 3 feet 3 feet 3/1/
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