Grade 5 Mathematics Grade Level Content Expectation Assessments Grade Level Content Expectation: D.RE.05.01 1. How many more magazines were sold in 1990 than in 1989? Magazine Sales 600 500 400 300 200 100 0 1988 A. B. C. D. 1989 1990 1991 1992 1993 about 50 more magazines about 100 more magazines about 200 more magazines about 250 more magazines Answer: A 2. Using the graph below, when did New Zealand’s GDP increase the most? Gross Domestic Product (GDP) for New Zealand and Other Countries A. B. C. D. 1986-87 1988-89 1992-93 1995-96 Answer: C 3. In 1988 what was the difference in the GDP for the Other Countries and New Zealand? Gross Domestic Product (GDP) for New Zealand and Other Countries A. B. C. D. about $100 per head about $200 per head about $1200 per head about $1300 per head Answer: A X-Box 360 sales dropped by 100 million. What year did sales increase by the same number? X-Box 360 Sales 500 400 Million 4. 300 200 100 0 2003 2004 2005 Year A. B. C. D. 2006 2005 2007 2003 Answer: A 2006 Grade Level Content Expectation: D.AN.05.03 1. Family A has 2 children, Family B has 1 child, Family C has 1 child, and Family D has 4 children. What is the mean number of children for the families? A. B. C. D. 1 2 3 4 Answer: B 2. Family A has 2 children, Family B has 0 children, Family C has 1 child, and Family D has 0 children. Find the mode for this data. A. B. C. D. 0 1 2 3 Answer: A 3. Last summer Samantha swam the backstroke in five swim meets. Her times were: 56 seconds 56 seconds 44 second 47 seconds 42 seconds Find the mean of her times. You may use a calculator. A. B. C. D. 47 49 50 56 Answer: B 4. Mary’s quiz scores were 92, 85, 78, 92, 71, 77, and 80. She told her mother she had an average of 92 for her quiz scores. Which term best describes the score she gave her mother? A. B. C. D. mean median mode range Answer: C 5. What is the mean of this set of numbers? 4, 8, 3, 2, 5, 8, 12 A. B. C. D. 4 5 6 7 Answer: C 6. Students collected books for a book drive. Five students collected the following number of books: Student 1: 17 books Student 2: 8 books Student 3: 10 books Student 4: 8 books Student 5: 12 books What is the mode of this set of data? A. B. C. D. 8 books 10 books 11 books 12 books Answer: A Grade Level Content Expectation: D.AN.05.04 1. The mean of nine test scores is 61. If a score of 71 is added to the group of scores, what is the new mean? A. B. C. D. 62 65 66 68 Answer: A 2. What is the difference between the mean salary of the workers and the mean salary of everyone including the President and Vice-President? You may use a calculator. Position President Vice-President Worker 1 Worker 2 Worker 3 Worker 4 Worker 5 Worker 6 Worker 7 A. B. C. D. $25,000 $37,000 $45,000 $62,000 Answer: B Salary $256,000 $127,000 $35,000 $20,000 $18,000 $31,000 $24,000 $21,000 $26,000 3. The table shows the scores of 20 students on a history test. What is the average student score? Score 90 85 80 75 70 60 55 A. B. C. D. Number of Students 3 5 3 4 2 0 3 26 74 77 85 Answer: C 4. Tom and Carlos were comparing their test scores in math… Tom: 78, 70, 80, 92 Carlos: 82, 68, 88, 94 Find the mean scores for Tom and Carlos. A. B. C. D. Tom: 79 Tom: 80 Tom: 81 Tom: 90 Carlos: 81 Carlos: 83 Carlos: 84 Carlos: 90 Answer: B 5. Sandy had test scores of 20, 25, 17, 22, and 21. What is her mean score? A. B. C. D. 19 21 23 25 Answer: B 6. On the next three tests Sandy’s scores were 24, 24, and 23. What is her average (mean) now? A. B. C. D. 24 23 22 21 Answer: C Grade Level Content Expectation: G.TR.05.01 1. If the minute hand moves half way around a clock, how many degrees has the minute hand turned? A. B. C. D. 90 180 270 360 Answer: B 2. If you are facing North and you turn your body so that you are facing East, how many degrees have you turned? A. B. C. D. 90 180 270 360 Answer: A 3. If you are facing North and you turn your body to the East, then to the South, then to the West, how many total degrees have you turned? A. B. C. D. 90 180 270 360 Answer: C 4. If the minute hand starts at 12:00 and rotates back to 12:00, how many degrees did the hand move? A. B. C. D. 0 90 360 180 Answer: C 5. Which angle degree is equal to the fraction 3/4? A. B. C. D. 90 180 270 360 Answer: C Grade Level Content Expectation: G.GS.05.02 1. Which of the following angles is an acute angle? A. B. C. D. <BOE <AOD <BOC <COE Answer: C 2. Which of the following angles is an obtuse angle? A. B. C. D. <AOB <BOE <COA <DOE Answer: B 3. Angle COE is: A. obtuse angle B. acute angle C. right angle Answer: C 4. Which angles are all considered acute? A. <AOD, <EOB, BOD B. <AOB, <BOC, <COD, <DOE C. <AOE, <COA, <COE Answer: B Grade Level Content Expectation: G.GS.05.03 1. Which of these angles is a straight angle? A. B. C. D. <AOB <AOC <AOD <COD Answer: B 2. Which pair of angles are vertical angles? A. B. C. D. <AOD and <BOC <AOB and <BOC <BOC and <COD <AOC and <BOD Answer: A 3. Which of these angles is a vertical angle to <DOC? A. B. C. D. <AOB <BOC <AOD <DOA Answer: A Grade Level Content Expectation: G.GS.05.04 1. What is the measure of angle y? (Do NOT use a protractor to find your answer.) A. B. C. D. 40 50 140 180 y 40 x z Answer: C 2. A gate is open at a 50 angle. How many more degrees will the gate have to open until it is flat against the fence? A. B. C. D. 40 100 130 310 Answer: C 3. A pizza is divided into 6 pieces. Each piece is the size, as shown in the picture. Think about what the total angle measurement is for all 6 pieces. Then calculate the angle measure for one piece, angle x. One piece of pizza has an angle measure of: A. B. C. D. 30 40 50 60 x Answer: D 4. One orange is divided into 4 equal pieces. What is the angle measure of one of the orange slices? A. B. C. D. 90 180 60 360 Answer: A Grade Level Content Expectation: G.GS.05.05 1. In a spinner game, the spinner has 4 regions of unequal size, as shown below. How many degrees are in the missing angle x? (Do not use a protractor.) A. B. C. D. 30 45 60 75 Answer: B 2. <ACD measures 60. Find the measurement of <ACB. A. B. C. D. 120 130 160 180 Answer: A 3. <DCB measures 55. Find the measurement of <ACD. A. B. C. D. D 125 150 90 120 55 A C B Answer: A 4. <FGH measures 160. Find the measure of <HE. A. B. C. D. 30 10 20 40 Answer: C H 160 F G E Grade Level Content Expectation: G.GS.05.06 1. This is a parallelogram. In all parallelograms, the opposite angles are equal. Find the measure of angle x. A. B. C. D. 50 60 70 120 Answer: B 2. What is the measurement of angle A? A. B. C. D. 45 60 90 120 Answer: C 3. Find the missing angle measurement. A. B. C. D. 101 17 22 141 17 22 Answer: D 4. Find the missing angle measurement. A. B. C. D. 90 360 180 270 90 90 Answer: D 90 Grade Level Content Expectation: G.GS.05.07 1. What is the measure of angle X in this triangle? A. B. C. D. 45 75 120 135 Answer: D 2. What is the sum of the angles in this polygon? Choose the correct answer. A. B. C. D. 180 360 540 720 Answer: C 3. In a quadrilateral, two of the angles each have a measure of 110, and the measure of the third angle is 90. What is the measure of the remaining angle? A. B. C. D. 50 90 130 160 Answer: A 4. In this triangle, what is the measure of angle B? A. B. C. D. 30 45 60 180 Answer: A 5. If angle A equals 45, what is the measure of angle B? Choose the correct answer. A. B. C. D. 90 120 130 135 Answer: D 6. If this parallelogram has one angle of 50. What are the measures of the other angles? A. B. C. D. A = 130, B = 50, C = 130 A = 125, B = 60, C = 125 A = 160, B = 50, C = 100 A = 50, B = 130, C = 130 Answer: A Grade Level Content Expectation: M.UN.05.01 1. How many ml = 1 liter? A. B. C. D. 1,000 ml 2,000 ml 200 ml 100 ml Answer: A 2. Convert each measure. a. b. c. d. e. f. 15 liters = _____ml 33,000 liters = _____kl 26,000 ml = _____liters 61 kl = _____liters 7,000 ml = _____liters 0.002 kl = _____liters Answers: a. 15,000; b. 33; c. 26; d. 61,000; e. 7; f. 2 3. Which measure is the closest to how much water a machine could hold? A. 140 milliliters B. 140 liters C. 140 kiloliters Answer: B 4. Which measure is the closet to how much a gravel truck cold hold? A. B. C. D. 12 milligrams 12 grams 12 kilograms 12 metric tons Answer: D 5. Mr. McDonald’s fish sandwich weighs: A. B. C. D. 160 milligrams 160 grams 160 kilograms 160 metric tons Answer: B 6. A football weighs 400 grams. Is it equal to 160 milligrams? A. Yes B. No Answer: B 7. An orange weighs 100,000 milligrams. Is this equal to 100 grams? A. Yes B. No Answer: A 8. Tom weighs 60,000 grams. Does he weigh 600 kilograms? A. Yes B. No Answer: B Grade Level Content Expectation: M.UN.05.03 1. How much larger is one cubic foot than one cubic inch? A. B. C. D. 3 times larger 12 times larger 144 times larger 1728 times larger Answer: D 2. 1 in3 ____ 1 ft3 A. < B. > C. = Answer: A 3. 1 cm3 ____ 1 m3 A. < B. > C. = Answer: A 4. Which symbol makes this equation true? 5m x 3m x 2m _______ 2cm x 5 cm x 3 cm A. < B. > C. = Answer: B 5. How much smaller is one cubic centimeter than one cubic meter? A. B. C. D. 999,000 90 9,000 99,000 Answer: A Grade Level Content Expectation: M.UN.05.04 1. Which one of the following is NOT equivalent? A. B. C. D. 1 ton = 2,000 pounds 1 mile = 5,200 feet 9 feet = 3 yards 60 minutes = 3,600 seconds Answer: B 2. What is the sum of 88 cm and 12 m? A. B. C. D. 100 cm 76 cm 1288 cm 1288 m Answer: C 3. What is the difference between 2 km and 888 m? A. B. C. D. 886 m 1,112 m 890 km 2,888 m Answer: B 4. What is the difference between 3 t and 3 kg? A. 2,997 kg B. 1 t C. 1,000 kg Answer: A 5. Seth had 2 kilograms of sour gummy worms. He gave 540 grams of his gummy worms to Erika. How many grams does he have left? A. 1460 grams B. 2540 grams C. 460 grams Answer: A Grade Level Content Expectation: M.PS.05.05 1. Using the rectangle method, what is the area of this triangle? A. B. C. D. 2 square units 4 square units 6 square units 8 square units Answer: B 2. How do the areas of these two figures compare? A. B. C. D. The area of Figure A is greater than the area of Figure B. The area of Figure B is greater than the area of Figure A. The area of Figure A is equal to the area of Figure B. The area of Figure B is twice the area of Figure A. Answer: C 3. How does the area of these two figures compare? Figure A Height = 5 m Length = 4 m A. B. C. D. Figure B Height = 6 m Length = 5 m The area of Figure A is greater than Figure B. The area of Figure B is greater than figure A. The area of Figure A and Figure B are equal. The area of Figure B is twice the area of Figure A. Answer: B Grade Level Content Expectation: M.TE.05.06 1. The area of a triangle can be found using the formula A = bh2. Which of the following figures is labeled correctly to apply this formula? A. B. C. D. A B C D Answer: B 2. Use the diagram to find the area of the triangle ZMT. (A = bh2) A. B. C. D. 16 square cm 30 square cm 32 square cm 60 square cm Answer: B 3. What is the area of this triangle? A. B. C. D. 7 11 12 24 Answer: C 4. What is the correct equation for the area of this triangle? (A = bh2) A. B. C. D. A = (5 x 4) 2 A = (5 x 5) 2 A = (6 x 5) 2 A = (6 x 4) 2 Answer: D 5. What is the area of this triangle? (A = bh2) A. B. C. D. 17 cm2 33 cm2 66 cm2 132 cm2 Answer: B Grade Level Content Expectation: M.TE.05.07 1. Find the area of the parallelogram below. A. B. C. D. 12 cm2 24 cm2 32 cm2 40 cm2 Answer: C 2. The area of this parallelogram is 24 square units. The base of the parallelogram is 8 units. What is the height of the figure? Circle your answer below and draw the height on the parallelogram. A. B. C. D. 2 units 3 units 4 units 6 units Answer: B 3. The area of a parallelogram is 36 square inches. All of the following are possible bases and heights for this figure EXCEPT: A. B. C. D. 1 inch by 36 inches 3 inches by 12 inches 4 inches by 9 inches 5 inches by 7 inches Answer: D 4. Use the diagram to find the area of the parallelogram. (A = bh) A. B. C. D. 12 square centimeters 15 square centimeters 20 square centimeters 60 square centimeters Answer: A 5. The base of the parallelogram below is 9 centimeters. The area is 72 square centimeters. What must the height of the parallelogram be? (A = bh) A. B. C. D. 6 centimeters 7 centimeters 8 centimeters 9 centimeters Answer: C Grade Level Content Expectation: M.TE.05.08 1. Using unit cubes, a solid is built that is 6 units in length, 2 units in width, and 3 units in height. What is the volume? A. B. C. D. 11 cube units 18 cube units 24 cube units 36 cube units Answer: D 2. Using unit cubes, a solid is built that is 4 units in length, 4 units in width, and 4 units in height. What is the volume? A. B. C. D. 12 cube units 16 cube units 36 cube units 64 cube units Answer: D 3. The Unit Cube measures 3 units long, 2 units wide, and 6 units tall. What is the volume? A. B. C. D. 12 20 36 11 Answer: C 4. The Solid measures 72 unit cubes. The length is 4 units, height is 9 units. What is the width? A. B. C. D. 2 cubic units 39 cubic units 15 cubic units 36 cubic units Answer: A Grade Level Content Expectation: N.FL.05.04 1. Which of the following is the correct computation of 4,063 x 52? (Do not use a calculator to figure out this question.) A. B. C. D. A B C D Answer: D Grade Level Content Expectation: N.FL.05.05 1. Samantha has to read a book that is 525 pages long. She has 21 days to read the book. How many pages will she need to read each day to finish on time? A. B. C. D. 21 25 546 11,025 Answer: B 2. Andrew’s family is going on vacation across the United States. They traveled 515 miles every day for 17 days. How many miles did they travel in all? A. B. C. D. 532 4,120 8,165 8,755 Answer: D 3. Three classes of 25 students collected 8 cans of soup from each student. The cans were then to be divided between 4 charities. How many cans of soup went to each charity? A. B. C. D. 50 108 150 800 Answer: C 4. The student council is collecting cans for a food drive. Thirty four students brought in 17 cans each. How many cans were collected? A. B. C. D. 51 119 328 578 Answer: D 5. Rasheed has a collection of 84 Bobble Head dolls he needs to box up for the move to his new home. He can fit 7 dolls into one box. How many boxes will Rasheed need? A. B. C. D. 10 12 13 21 Answer: B 6. Suzy has 12 cousins. She received $15.00 from each cousin for her birthday. How much money did she receive in all? A. B. C. D. $27 $120 $150 $180 Answer: D 7. Pablo has collected 1,225 marbles. He decides to share them equally with the students in his class. There are 25 students. How many marbles will each student get? A. B. C. D. 1,250 marbles 409 marbles 49 marbles 48 marbles Answer: C Grade Level Content Expectation: N.FL.05.06 1. The 5th grade is going on a trip to the state park. There are 1,012 students going. Each bus can hold 44 students. How many buses will they need? (Do not use a calculator to solve this problem.) A. B. C. D. 23 26 50 968 Answer: A 2. Find 1717 17. Do not use a calculator. A. B. C. D. 11 101 107 1001 Answer: B 3. Solve 4806 15 without using a calculator. A. B. C. D. 32 320 r 6 320 r 4 320 Answer: B 4. Solve 647 21. Do not use a calculator. A. B. C. D. 3 r 17 3 r 21 30 r 8 30 r 17 Answer: D 5. There are 968 basketball fans waiting for the shuttle to the game. Each shuttle holds 16 fans. How many shuttles will it take to get all of the fans to the game? A. B. C. D. 60 shuttles 61 shuttles 66 shuttles 68 shuttles Answer: B Grade Level Content Expectation: N.MR.05.07 1. Use a factor tree to find the prime factorization of the composite number 50. Which answer expresses the number in exponential notation? A. B. C. D. 2 x 52 22 x 52 23 x 53 10 x 5 Answer: A 2. Find the prime factorization for 36. A. B. C. D. 4x3x3 22 x 32 9x2x2 6x2x3 Answer: B 3. Find the prime factorization for the number 48 expressed in exponential notation. A. B. C. D. 31 x 24 6 x 81 3 x 24 x 4 3 x 22 x 4 Answer: A 4. Construct a factor tree for the composite number 42. Express your answer in exponential notation. A. B. C. D. 2 x 22 7 x 23 6x7 2x3x7 Answer: D Grade Level Content Expectation: N.ME.05.12 1. Which drawing would you use to find the product of these two fractions? 1x1= 4 3 A. B. C. D. a b c d Answer: C 2. Solve: 1 x 1 5 2 A. B. C. D. Answer: A 3. What equation does this picture represent? A. B. C. D. 1/2 x 1/3 3/6 x 1/3 2/5 x 1/3 1/6 x 1/3 Answer: D 4. Which symbol satisfies the inequality? 1/2 ____ 2/5 A. > B. < C. = Answer: A Grade Level Content Expectation: N.MR.05.13 1. Solve this equation: 2/3 3 = A. B. C. D. 2 3 2/6 2/9 Answer: D 2. Solve the following: 1/3 4 = A. B. C. D. 4/3 1/7 1/12 12 Answer: C 3. Solve this equation: 2 1/4 = A. B. C. D. 1/2 2/4 2 8 Answer: D 4. Solve this equation: 5 1/5 = A. 24 B. 25 C. 25/2 D. 1 Answer: B 5. 8/2 4 A. B. C. D. 2 1 1/4 2/4 Answer: B Grade Level Content Expectation: N.FL.05.14 1. Ms. Humphrey’s class is baking cookies. They need 3 3/5 pounds of sugar and 5 1/3 pounds of flour. When they mix the sugar and flour together, how many pounds will they have altogether? A. B. C. D. 8 4/8 pound 8 3/4 pounds 9 3/15 pounds 8 14/15 pounds Answer: D 2. Choose the correct answer for this problem: 7/9 – 3/8 A. B. C. D. 10/17 29/72 56/27 21/72 Answer: B 3. Choose the correct answer for this problem: 3/7 + 2/9 A. B. C. D. 5/16 41/63 6/63 18/14 Answer: B 4. Tom had 7/12 of a pizza. His little sister came along and took 2/5 of his pizza away. How much pizza does Tom have left? A. B. C. D. 11/60 5/7 9/17 5/60 Answer: A 5. Jill has 3/4 of a yard of ribbon. Tammy has 4/7 of a yard. How much do they have altogether? A. B. C. D. 7/11 40/28 1/3 37/28 Answer: D 6. Paul had 3 7/8 cups of milk. He gave 1 3/4 cups of milk to his cat. How much milk did he have left? Show your work. A. B. C. D. 2 cups 2 1/8 cups 2 4/4 cups 1 7/8 cups Answer: B 7. Nancy ate 1/3 of a pizza and Gabe ate 1/4 of the pizza. How much of the whole pizza is left? A. B. C. D. 7/12 5/12 2/7 6/7 Answer: B 8. Choose the correct answer for this problem. 7/9 – 3/8 A. B. C. D. 10/17 29/72 56/27 21/72 Answer: B 9. Patty brought half of a cake to class, and Joe brought 3/4 of a cake on the same day. How much cake did the class have altogether? Show your work. A. B. C. D. 1/4 cake 1 cake 4/6 cake 1 1/4 cake Answer: D 10. Ms. Humphrey’s class is baking cookies. They need the amounts of sugar and flour shown below. When they mix the sugar and flour together, how many pounds will they have altogether? RECIPE: 3 3/5 pounds sugar 5 1/3 pounds flour A. B. C. D. 8 4/8 pounds 8 3/4 pounds 9 3/15 pounds 8 14/15 pounds Answer: D Grade Level Content Expectation: N.FL.05.18 1. Jim has 1/2 pound of jellybeans and Sarah has 3/8 pounds. Write a math sentence you could use to find out how any pounds they have together. A. B. C. D. 1/2 x 3/8 1/2 – 3/8 1/2 + 3/8 1/2 3/8 Answer: C 2. Beth has a piece of wood 7/8 of a yard long. She uses 1/3 of a yard to build an airplane. Use a math sentence to show how much wood is left over. A. B. C. D. 7/8 1/3 1/3 – 7/8 7/8 x 1/3 7/8 – 1/3 Answer: D 3. Mark baked a 1/2 dozen cookies. He gave 1/4 of them to his friend Becky. How much does he have left? A. B. C. D. 5/12 1/4 4/16 2/8 Answer: B 4. Robert ate 1/5 of the pizza and Barbara ate 2/3 of the pizza. How much of the pizza did they eat altogether? A. B. C. D. 13/15 3/8 7/15 3/15 Answer: A 5. Using lowest common denominator, which answer satisfies the following equation? 1/2 + 5/8 A. 1 2/16 B. 1 3/24 C. 1 1/8 Answer: C Grade Level Content Expectation: N.FL.05.20 1. Don has $12.32 in his piggy bank. He collects and returns pop cans for $3.70. Approximately how much money does he have altogether? (Round to the nearest whole dollar.) A. B. C. D. $8 $15 $16 $17 Answer: C 2. Michelle earned $5.00 for every hour she babysat. Last week she babysat for 8 hours. She spent $12.00 of the money she earned. Which expression could be used to find out how much money she had left? A. B. C. D. $5.00 x 8 + $12.00 $5.00 + 8 $12.00 $5.00 x 8 $12.00 $5.00 x 8 $12.00 Answer: C 3. Ten fourth graders will each eat one-fourth of a pizza. How many pizzas need to be ordered for the ten students? A. B. C. D. 2 pizzas 3 pizzas 4 pizzas 5 pizzas Answer: B 4. Barb and Phil were eating a pizza with 12 pieces. Barb took 2/4 of the pizza and Phil took 1/3 of the pizza. What fraction of their pizza is left over? A. B. C. D. 1/6 3/7 4/7 9/12 Answer: A 5. Nancy and Gabe had a pie with 12 pieces. Nancy ate 1/3 of the pie and Gabe ate 1/4 of the pie. How much of the whole pie is left? A. B. C. D. 2/3 7/12 3/4 5/12 Answer: D Grade Level Content Expectation: N.MR.05.21 1. In the equation 1/3 + x = 5/12, what does x =? A. B. C. D. 4/9 5/4 1/12 3/12 Answer: C 2. Solve for x. 11/12 – x = 1/4 A. B. C. D. 10/12 8/12 10/8 3/4 Answer: B 3. 7/8 + x = 15/16 A. B. C. D. 8/8 1/16 2 7/8 Answer: B 4. 3/4 + 2/5 = x A. B. C. D. 23/20 5/9 1/1 1 3/20 Answer: D 5. 1/2 – 5/12 = x A. B. C. D. 1/12 4/12 1/3 2/24 Answer: A 6. A pie recipe uses a 1/4 cup sugar and 1/3 cup brown sugar. How much sugar is used in all? A. B. C. D. 1/12 2/7 7/12 3/4 Answer: C