Grade Common Core Math

Transcription

1 th 5 Grade Common Core Math Printable Review Problems

2 Standards Included: - Convert among different-sized standard measurement units within a given measurement system, and use these conversions in solving multi-step, real world problems. 5.MD.2- Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. 5.MD.3- Recognize volume as an attribute of solid figures and understand concepts of volume measurement. 5.MD.4- Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. - Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

3 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Volunteers at a nature center measured tree saplings. The chart below shows the name of each volunteer and the height of the tree he or she measured. Which volunteer measured the tallest tree? A.) Cody B.) Kyle C.) Wendy D.) Nora Name of Volunteer Cody Kyle Height of Tree 1 yard 74 inches Wendy 5 feet 8 inches Nora 2 feet 4 inches 2.) A drapery rod to hang drapes is 82 inches long. What is the length in feet and inches? A.) 6 ft 10 in B.) 7 ft 2 in C.) 8 ft 2 in D.) 11 ft 10 in 3.) This line plot shows the ages of participants at a school assembly. How many participants are eactly ten years old? 4.) This line plot shows the number of home runs hit last season by each little league baseball team. What is the outlier of this set of data? Number of Home Runs Age of Participants 5.) Ryan put 4 cups of lemonade into the pitcher shown. Capacity = 3 quarts How many more cups of lemonade does he need to fill the pitcher? (Hint: 1 quart= 4 cups) A.) 6 cups B.) 8 cups C.) 10 cups D.) 11 cups 6.) Carl kept track of how much cereal he ate for two months and found that he ate 208 ounces of cereal in that time. How many pounds is that? (Hint: 16 ounces = 1 pound) A.) 6.5 pounds B.) 13 pounds C.) 26 pounds D.) 3,328 pounds 1

4 5 th Grade Common Core Math Answer Key 1.) Volunteers at a nature center measured tree saplings. The chart below shows the name of each volunteer and the height of the tree he or she measured. Which volunteer measured the tallest tree? A.) Cody B.) Kyle C.) Wendy D.) Nora 3.) This line plot shows the ages of participants at a school assembly. How many participants are eactly ten years old? Name of Volunteer Cody Kyle Height of Tree 1 yard 74 inches Wendy 5 feet 8 inches Nora 2 feet 4 inches 2.) A drapery rod to hang drapes is 82 inches long. What is the length in feet and inches? A.) 6 ft 10 in B.) 7 ft 2 in C.) 8 ft 2 in D.) 11 ft 10 in 4.) This line plot shows the number of home runs hit last season by each little league baseball team. What is the outlier of this set of data? Number of Home Runs Age of Participants 4 participants 5.MD MD.2 5.) Ryan put 4 cups of lemonade into the pitcher shown. Capacity = 3 quarts How many more cups of lemonade does he need to fill the pitcher? (Hint: 1 quart= 4 cups) A.) 6 cups B.) 8 cups C.) 10 cups D.) 11 cups 6.) Carl kept track of how much cereal he ate for two months and found that he ate 208 ounces of cereal in that time. How many pounds is that? (Hint: 16 ounces = 1 pound) A.) 6.5 pounds B.) 13 pounds C.) 26 pounds D.) 3,328 pounds 1a

5 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Which statement is NOT true about the data in the line plot? A A 12 Student Ages in Years 2.) The weight of Mr. Jessop s car is 2,817 pounds. How much does the car weigh in tons? (Hint: 1 T = 2,000 lb) A.) less than 1 ton B.) between 1 and 2 tons C.) between 2 and 3 tons D.) between 3 and 4 tons A.) The oldest student is 12 years old. B.) Most students are younger than 11 years old. C.) Two students are 10 years old. D.) There are 12 students in the class. 3.) Mr. Collins is traveling from his house to school. How many meters will he travel to school? 4.) What is the length of the crayon in centimeters? 162 mm A.) 64,000 meters B.) 6,400 meters C.) 640 meters D.) 3,200 meters 6.4 km A.) 16,200 cm B.) 1,620 cm C.) 16.2 cm D.) cm 5.) Which measurement is NOT equal to 6.5 meters? 6.) A diagram of the Smith's new sandbo is below. What is the volume of the sandbo? A.) kilometers B.) 6.50 meters C.) 65 centimeters D.) 6,500 millimeters 5 ft 1 ft 8 ft 2

6 5 th Grade Common Core Math Answer Key 1.) Which statement is NOT true about the data in the line plot? A A 12 Student Ages in Years A.) The oldest student is 12 years old. B.) Most students are younger than 11 years old. C.) Two students are 10 years old. D.) There are 12 students in the class. 5.MD.2 3.) Mr. Collins is traveling from his house to school. How many meters will he travel to school? 2.) The weight of Mr. Jessop s car is 2,817 pounds. How much does the car weigh in tons? (Hint: 1 T = 2,000 lb) A.) less than 1 ton B.) between 1 and 2 tons C.) between 2 and 3 tons D.) between 3 and 4 tons 4.) What is the length of the crayon in centimeters? 162 mm A.) 64,000 meters B.) 6,400 meters C.) 640 meters D.) 3,200 meters 6.4 km A.) 16,200 cm B.) 1,620 cm C.) 16.2 cm D.) cm 5.) Which measurement is NOT equal to 6.5 meters? 6.) A diagram of the Smith's new sandbo is below. What is the volume of the sandbo? A.) kilometers B.) 6.50 meters C.) 65 centimeters D.) 6,500 millimeters 5 ft 1 ft 8 ft 40 ft 3 2a

7 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Pete s back yard is 21 yards long by 48 feet wide. What is the area of Pete s back yard? 21 yards 48 feet 2.) This line plot shows the number of pets owned by students in a fifth-grade class. How many students own one pet? Number of Pets 3.) The table below shows the nutrition facts given on a container of Grandma's Chili. Which of the following lists the nutrition facts from the least to the greatest amount per serving? (*Remember all units must be the same to compare) 4.) A handful of grapes has a mass of 6 grams. What is the mass of the handful of grapes in milligrams? A.) sodium, total fat, protein, carbohydrate, cholesterol B.) cholesterol, sodium, total fat, protein, carbohydrate C.) cholesterol, total fat, protein, carbohydrate, sodium D.) sodium, cholesterol, total fat, protein, carbohydrate Grandma's Chili Total Fat Cholesterol Amount Per Serving 3.5 g 25 mg Sodium 1,080 mg Carbohydrates 32g Protein 14g 5.) The mass of a watermelon is 4,825 grams. What is the mass in kilograms? 6.) A bedroom has the dimensions shown below. What is the area of the bedroom? 156 in 18 feet 3

8 5 th Grade Common Core Math Answer Key 1.) Pete s back yard is 21 yards long by 48 feet wide. What is the area of Pete s back yard? 21 yards 48 feet 2.) This line plot shows the number of pets owned by students in a fifth-grade class. How many students own one pet? Number of Pets 336 yards 2 or 3,024 feet 2 5 MD.1 and 3 students 5.MD.2 3.) The table below shows the nutrition facts given on a container of Grandma's Chili. Which of the following lists the nutrition facts from the least to the greatest amount per serving? (*Remember all units must be the same to compare) 4.) A handful of grapes has a mass of 6 grams. What is the mass of the handful of grapes in milligrams? A.) sodium, total fat, protein, carbohydrate, cholesterol B.) cholesterol, sodium, total fat, protein, carbohydrate C.) cholesterol, total fat, protein, carbohydrate, sodium D.) sodium, cholesterol, total fat, protein, carbohydrate Grandma's Chili Total Fat Cholesterol Amount Per Serving 3.5 g 25 mg Sodium 1,080 mg Carbohydrates Protein 32g 14g 6,000 milligrams 5.) The mass of a watermelon is 4,825 grams. What is the mass in kilograms? 6.) A bedroom has the dimensions shown below. What is the area of the bedroom? 156 in 18 feet kilograms 234 feet 2 or 33,696 in 2 and 3a

9 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) An aluminum can has a capacity of 2.37 liters. What is the capacity of the can in milliliters? 2.) A bottle of nail polish remover has a capacity of 1.47 liters. How many 1 milliliter droppers can be filled from the bottle? 3.) Jerome stacked boes in a closet as shown below. How many boes are in the closet? 4.) Sarah made 4 quarts of vegetable soup in a big pot. She then served 6 different people 1 1/2 cups of soup each. How much soup is left in the pot? (Hint: 1 quart = 4 cups) 5.) This line plot shows the scores earned by 15 students on a math test. What is the outlier of this set of data? Scores Earned A.) 65 B.) 70 C.) 95 D.) There is no outlier in this data set. 6.) Kira kept track of how many inches of snow her town received during a storm. The data below shows the amount of snow in inches for 5 days. 3A, 4F, 4, 3A, 4H Which is the best number line to use for showing this data in a line plot? A.) 3 3F 3A B.) C.) A 4 D.) 3A 4 4 A 4

10 5 th Grade Common Core Math Answer Key 1.) An aluminum can has a capacity of 2.37 liters. What is the capacity of the can in milliliters? 2.) A bottle of nail polish remover has a capacity of 1.47 liters. How many 1 milliliter droppers can be filled from the bottle? 2,370 milliliters 1,470 droppers 3.) Jerome stacked boes in a closet as shown below. How many boes are in the closet? 4.) Sarah made 4 quarts of vegetable soup in a big pot. She then served 6 different people 1 1/2 cups of soup each. How much soup is left in the pot? (Hint: 1 quart = 4 cups) 50 Boes 5.MD.3 7 cups 5.) This line plot shows the scores earned by 15 students on a math test. What is the outlier of this set of data? Scores Earned A.) 65 B.) 70 C.) 95 D.) There is no outlier in this data set. 5.MD.2 6.) Kira kept track of how many inches of snow her town received during a storm. The data below shows the amount of snow in inches for 5 days. 3A, 4F, 4, 3A, 4H Which is the best number line to use for showing this data in a line plot? A.) 3 3F 3A B.) C.) A 4 D.) 5.MD.2 3A 4 4 A 4a

11 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) A baby girl weighed 18 pounds 10 ounces at 12 months old and 20 pounds 2 ounces at 13 months old. How much weight did the baby gain during this month? (Hint: 1 lbs = 16 oz.) A.) 2 pounds 2 ounces B.) 1 pound 2 ounces C.) 1 pound 8 ounces D.) 2 pounds 8 ounces 2.) Tammy was helping her friend sort nails at his workbench. She measured each nail in inches and made a line plot of the data. What was the total length of the four longest nails together? 2 2 Length of Nails (inches) b 2 F 2 d 2 A 3.) Convert the unit: 345 cm = m 4.) Louis made this time-distance graph to show his distance in miles from home during 6 hours of time. Which eplanation matches the graph? A.) Louis walked 3 miles in one hour. He stayed at that location for 4 hours. Finally he walked back home. B.) Louis walked 1 mile in three hours. Then he walked 4 miles. Finally he walked 6 miles to get home Miles from Home Hours C.) Louis walked 1 mile in three hours. Then he walked back home. D.) Louis walked 3 miles in one hour. Then he walked 4 more miles. Finally he walked home. 5.) Katrina made this time-distance graph to show the amount of rain that fell one afternoon. Which is the best eplanation of the graph? A.) 1 cm of rain fell from 1 P.M. to 3 P.M., and 3 cm of rain fell between 5 P.M. and 6 P.M. B.) 1 cm of rain fell from noon to 1 P.M., and 3 cm of rain fell between 5 P.M. and 6 P.M. Total Rain (cm) C.) 1 cm of rain fell from noon to 1 P.M., and 2 cm more rain fell between 3 P.M. and 5 P.M Time (P.M.) D.) 1 cm of rain fell from 1 P.M. to 3 P.M., and 2 cm more rain fell between 3 P.M. and 5 P.M. 6.) Which is a side view of the solid figure below? A.) B.) C.) D.) 5

12 5 th Grade Common Core Math Answer Key 1.) A baby girl weighed 18 pounds 10 ounces at 12 months old and 20 pounds 2 ounces at 13 months old. How much weight did the baby gain during this month? (Hint: 1 lbs = 16 oz.) A.) 2 pounds 2 ounces B.) 1 pound 2 ounces C.) 1 pound 8 ounces D.) 2 pounds 8 ounces 3.) Convert the unit: 345 cm = m 3.45 m 5.) Katrina made this time-distance graph to show the amount of rain that fell one afternoon. Which is the best eplanation of the graph? A.) 1 cm of rain fell from 1 P.M. to 3 P.M., and 3 cm of rain fell between 5 P.M. and 6 P.M. B.) 1 cm of rain fell from noon to 1 P.M., and 3 cm of rain fell between 5 P.M. and 6 P.M. Total Rain (cm) C.) 1 cm of rain fell from noon to 1 P.M., and 2 cm more rain fell between 3 P.M. and 5 P.M Time (P.M.) 2.) Tammy was helping her friend sort nails at his workbench. She measured each nail in inches and made a line plot of the data. What was the total length of the four longest nails together? 2 4.) Louis made this time-distance graph to show his distance in miles from home during 6 hours of time. Which eplanation matches the graph? 10 inches 5.MD.2 A.) Louis walked 3 miles in one hour. He stayed at that location for 4 hours. Finally he walked back home. B.) Louis walked 1 mile in three hours. Then he walked 4 miles. Finally he walked 6 miles to get home 2 Length of Nails (inches) Miles from Home Hours C.) Louis walked 1 mile in three hours. Then he walked back home. D.) Louis walked 3 miles in one hour. Then he walked 4 more miles. Finally he walked home. 5.MD.2 6.) Which is a side view of the solid figure below? A.) B.) C.) b 2 F 2 d 2 A D.) 1 cm of rain fell from 1 P.M. to 3 P.M., and 2 cm more rain fell between 3 P.M. and 5 P.M. 5.MD.2 D.) 5.MD.3 5a

13 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Naomi collected boes of canned soups. She stacked them as shown in her garage. How many boes are in the stack? 2.) The rectangular prism shown below is made from boes that are each 1 cubic meter. What is the volume of the prism? A.) 18 boes B.) 54 boes C.) 84 boes D.) 108 boes 3.) In 24 hours, one set of athletes drank 16 bottles of water. Each bottle holds 4 fluid ounces. How many cups of water did the athletes drink? (Hint: 1 c = 8 fl oz) 4.) A bottle of face wash has a capacity of 0.43 liters. How many milliliters of face wash does the bottle contain? (Hint: 1 liter = 1,000 ml) A.) 8 cups B.) 7 cups C.) 6 cups D.) 5 cups 5.) What is the volume of the rectangular prism? 8 cm 5 cm 4 cm 6.) Some packing boes are stacked as shown below. If the face of each bo is a square and each bo represents one cubic unit, what is the volume of the figure formed by the packing boes? 6

14 5 th Grade Common Core Math Answer Key 1.) Naomi collected boes of canned soups. She stacked them as shown in her garage. How many boes are in the stack? 2.) The rectangular prism shown below is made from boes that are each 1 cubic meter. What is the volume of the prism? A.) 18 boes B.) 54 boes C.) 84 boes D.) 108 boes 5.MD.3 24 m 3 5.MD.4 3.) In 24 hours, one set of athletes drank 16 bottles of water. Each bottle holds 4 fluid ounces. How many cups of water did the athletes drink? (Hint: 1 c = 8 fl oz) 4.) A bottle of face wash has a capacity of 0.43 liters. How many milliliters of face wash does the bottle contain? (Hint: 1 liter = 1,000 ml) A.) 8 cups B.) 7 cups C.) 6 cups D.) 5 cups 430 milliliters 5.) What is the volume of the rectangular prism? 8 cm 5 cm 4 cm 6.) Some packing boes are stacked as shown below. If the face of each bo is a square and each bo represents one cubic unit, what is the volume of the figure formed by the packing boes? 160 cm 3 10 cubic units 5.MD.4 6a

15 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) What is the volume of this threedimensional figure? 2.) Which is a side view of the solid figure below? A.) B.) C.) D.) 3.) What is the side view of the solid figure below? 4.) An average-size adult shark measures 3 meters long. How many centimeters is this? A.) B.) C.) D.) 5.) Which measurement is NOT equal to 9.2 meters? A.) 92 kilometers B.) 920 centimeters C.) 9.20 meters D.) 9,200 millimeters 6.) Fiona uses 20.5 liters of water to care for her plants every week. How many milliliters does she use? 7

16 5 th Grade Common Core Math Answer Key 1.) What is the volume of this threedimensional figure? 2.) Which is a side view of the solid figure below? 32 cubic units 5.MD.4 A.) B.) C.) D.) 5.MD.3 3.) What is the side view of the solid figure below? 4.) An average-size adult shark measures 3 meters long. How many centimeters is this? A.) B.) C.) D.) 5.MD cm 5.) Which measurement is NOT equal to 9.2 meters? A.) 92 kilometers B.) 920 centimeters C.) 9.20 meters D.) 9,200 millimeters 6.) Fiona uses 20.5 liters of water to care for her plants every week. How many milliliters does she use? 20,500 milliliters 7a

17 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) A jug contains 3.22 liters of fruit punch. How many milliliters of fruit punch are in the jug? 2.) Henry has 2,384 grams of baking soda for his science eperiment. How many kilograms of baking soda does he have? A.) 32.3 milliliters B.) 322 milliliters C.) 1,322 milliliters D.) 3,220 milliliters 3.) Carol owns a rectangular parking lot that is 18 yards long and 45 feet wide. She is going to cover the lot with pieces of grass squares. If the grass squares cost $12 per square yard, how much will Carol pay to completely cover the lot with grass? 18 yards 45 feet 4.) This glass panel for a school building's window is 48 inches wide by 8 feet long. What is the area of the glass? 48 inches 8 feet 5.) Students measured the mass of 10 different objects during an eperiment. What is the total mass of the objects? Simplify your answer by writing it as a mied number in lowest terms. 6.) Izzy is purchasing a 5-pound bag of cat food. How many 8-ounce servings can she feed her cat? Mass (grams) 8

18 5 th Grade Common Core Math Answer Key 1.) A jug contains 3.22 liters of fruit punch. How many milliliters of fruit punch are in the jug? 2.) Henry has 2,384 grams of baking soda for his science eperiment. How many kilograms of baking soda does he have? A.) 32.3 milliliters B.) 322 milliliters C.) 1,322 milliliters D.) 3,220 milliliters 3.) Carol owns a rectangular parking lot that is 18 yards long and 45 feet wide. She is going to cover the lot with pieces of grass squares. If the grass squares cost $12 per square yard, how much will Carol pay to completely cover the lot with grass? 18 yards $3, feet kg 4.) This glass panel for a school building's window is 48 inches wide by 8 feet long. What is the area of the glass? 48 inches 4,608 in 2 or 32 feet 2 8 feet 5.) Students measured the mass of 10 different objects during an eperiment. What is the total mass of the objects? Simplify your answer by writing it as a mied number in lowest terms. 6.) Izzy is purchasing a 5-pound bag of cat food. How many 8-ounce servings can she feed her cat? Mass (grams) 6 3/4 grams 5.MD.2 10 servings 8a

19 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Calculate the volume of a prism that is 5 millimeters long, 4 millimeters wide and 2,500 millimeters high. 2.) The Brown family grows watermelons on their farm. One year, they grew a watermelon that weighed 74 pounds. How many ounces did the watermelon weigh? 3.) Kerri stacked some cubes on the kitchen counter to make the sculpture below. Which of the following is the front view of the cubes? 4.) Convert the unit: 25 meters = centimeters A.) B.) C.) D.) 5.) Which of the following is equal to 2 meters? A.) 200 mm B.) 20 cm C.) 200 km D.) 2,000 mm 6.) The line plot below gives the number of cups of sugar used in different recipes. What is the difference between the greatest number of cups of sugar used and the least number? Simplify your answer by writing it as a mied number in lowest terms. 1 A 2 2 A 3 3 A Number of Cups 9

20 5 th Grade Common Core Math Answer Key 1.) Calculate the volume of a prism that is 5 millimeters long, 4 millimeters wide and 2,500 millimeters high. 2.) The Brown family grows watermelons on their farm. One year, they grew a watermelon that weighed 74 pounds. How many ounces did the watermelon weigh? 50,000 millimeters 3.) Kerri stacked some cubes on the kitchen counter to make the sculpture below. Which of the following is the front view of the cubes? 4.) Convert the unit: 1,184 ounces 25 meters = centimeters A.) B.) C.) D.) 5.MD.3 2,500 centimeters 5.) Which of the following is equal to 2 meters? A.) 200 mm B.) 20 cm C.) 200 km D.) 2,000 mm 6.) The line plot below gives the number of cups of sugar used in different recipes. What is the difference between the greatest number of cups of sugar used and the least number? Simplify your answer by writing it as a mied number in lowest terms. 1 A Number of Cups 1 1/2 cups 5.MD A 3 3 A 9a

21 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Matthew made 7 liters of punch for his birthday party. How many milliliters is equal to 7 liters? 2.) The rectangular prism below is made from cubes that each measure 1 cubic centimeter. What is the volume of the prism? 3.) What is the volume of the jewelry bo? 4.) Find the volume of a rectangular prism that has a base area of 56 inches 2 and a height 6 inches. 5 cm 10 cm 15 cm 5.) Convert the unit: 4.2 kilometers = meters 6.) Eplain how you convert 4 meters to millimeters. 10

22 5 th Grade Common Core Math Answer Key 1.) Matthew made 7 liters of punch for his birthday party. How many milliliters is equal to 7 liters? 2.) The rectangular prism below is made from cubes that each measure 1 cubic centimeter. What is the volume of the prism? 7,000 milliliters 3.) What is the volume of the jewelry bo? 18 centimeters 3 5.MD.4 4.) Find the volume of a rectangular prism that has a base area of 56 inches 2 and a height 6 inches. 5 cm 10 cm 15 cm 750 cm inches 3 5.) Convert the unit: 4.2 kilometers = meters 6.) Eplain how you convert 4 meters to millimeters. 4,200 meters *Answers vary Since 1 meter equals 1,000 millimeters, you can take 4 meters and multiply 4 meters by 1,000 (for 1,000 millimeters), to get your answer of 4,000 millimeters. 10a

23 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Your bedroom is 20 feet wide, 18.5 feet long, and 11 feet high. How many cubic feet of space are in your bedroom? 2.) Maria made the following line plot showing the heights of different flowers in her garden. What is the difference between the tallest and shortest flowers? Simplify your answer by writing it as a mied number in lowest terms. 8 A 8 H A Height of Flowers (inches) F 3.) The line plot shows how many goals the Red Birds scored in each of their games. How many times did the Red Birds score more than 2 goals? 4.) A package of spaghetti noodles says that the suggested serving size is 56 grams before it is cooked. How many milligrams is this? Number of Goals 5.) The length of a fork is 190 millimeters. How many centimeters is this? 6.) Find the volume of a rectangular prism that has a base area of 32 centimeters 2 and a height of 12 centimeters. 11

24 5 th Grade Common Core Math Answer Key 1.) Your bedroom is 20 feet wide, 18.5 feet long, and 11 feet high. How many cubic feet of space are in your bedroom? 4,070 feet 3 3.) The line plot shows how many goals the Red Birds scored in each of their games. How many times did the Red Birds score more than 2 goals? 2.) Maria made the following line plot showing the heights of different flowers in her garden. What is the difference between the tallest and shortest flowers? Simplify your answer by writing it as a mied number in lowest terms. 8 A 8 H A Height of Flowers (inches) 3/4 of an inch 5.MD.2 4.) A package of spaghetti noodles says that the suggested serving size is 56 grams before it is cooked. How many milligrams is this? F Number of Goals 11 times 5.MD.2 56,000 milligrams 5.) The length of a fork is 190 millimeters. How many centimeters is this? 6.) Find the volume of a rectangular prism that has a base area of 32 centimeters 2 and a height of 12 centimeters. 19 centimeters 384 cm 3 11a

25 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) A male lion weighs about 400 pounds. How many tons would 15 lions weigh? 2.) Which value, if any, is an outlier? 3.) Paul has a small aquarium tank with a capacity of 24 liters. How many milliliters will the fish tank hold? 4.) What is the volume of the trunk? 5.) The picture shows unit cubes in a stack. What is the volume of this rectangular prism? 6.) If students' desks are arranged in a ring as shown below, with 4 units on each side, then there are 12 desks in all. How many desks will there be if there are, instead, 5 units on each side? 12

26 5 th Grade Common Core Math Answer Key 1.) A male lion weighs about 400 pounds. How many tons would 15 lions weigh? 2.) Which value, if any, is an outlier? 3 tons 9 5.MD.2 3.) Paul has a small aquarium tank with a capacity of 24 liters. How many milliliters will the fish tank hold? 4.) What is the volume of the trunk? 24,000 milliliters 60 ft 3 5.) The picture shows unit cubes in a stack. What is the volume of this rectangular prism? 6.) If students' desks are arranged in a ring as shown below, with 4 units on each side, then there are 12 desks in all. How many desks will there be if there are, instead, 5 units on each side? 42 cubic units 5.MD.4 16 desks 5.MD.3 12a

27 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Find the volume of a rectangular prism that has a base area of 42 meters 2 and a height of 8 meters. 2.) Shelby had a piece of fabric that was 4 meters long. How many centimeters of fabric did Shelby have? 3.) The class took a math quiz, and the scores were: 9, 8, 7, 9, 6, 9, 10, 8, 5, 9, 7, 6, 9, 9, 2, 8, 10, 7. Which score(s) were outliers? 4.) The line plot below shows the results of a survey that asked students how many hours a week they spend on homework. How many students responded to the survey? Hours Spent Doing Homework 5.) Use the line plot in problem number 4 to answer these questions: How many students spend eactly 4 hours doing homework in a week? 6.) Miss Smith wants to know the volume of her shoe bo. It has a base of 8 inches, a height of 4 inches, and a width of 1 inch. What is the volume? How many students spend 2 or fewer hours on homework each week? 13

28 5 th Grade Common Core Math Answer Key 1.) Find the volume of a rectangular prism that has a base area of 42 meters 2 and a height of 8 meters. 2.) Shelby had a piece of fabric that was 4 meters long. How many centimeters of fabric did Shelby have? 336 meters centimeters 3.) The class took a math quiz, and the scores were: 9, 8, 7, 9, 6, 9, 10, 8, 5, 9, 7, 6, 9, 9, 2, 8, 10, 7. Which score(s) were outliers? 2 5.MD.2 4.) The line plot below shows the results of a survey that asked students how many hours a week they spend on homework. How many students responded to the survey? 27 students 5.MD.2 Hours Spent Doing Homework 5.) Use the line plot in problem number 4 to answer these questions: How many students spend eactly 4 hours doing homework in a week? 6.) Miss Smith wants to know the volume of her shoe bo. It has a base of 8 inches, a height of 4 inches, and a width of 1 inch. What is the volume? 4 students How many students spend 2 or fewer hours on homework each week? 10 students 32 inches 3 13a

29 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Find the volume of the rectangular prism. 2.) Miss Nannini rode her bike 3 kilometers. How many meters did she travel? 3.) The line plot below shows the number of miles Joseph ran in gym class this month. How many total miles did Joseph run? Simplify your answer by writing it as a mied number in lowest terms. 4.) Use the line plot from number 3 to answer this question: How many more 1/4 of a mile runs does Joseph need to run in order to complete 8 miles for this month? Miles Ran 5.) The line plot below shows the height of 11 plants the first week after being planted. What is the difference between the height of the tallest plant and shortest plant? 6.) Use the line plot in problem number 5 to answer this question: How many more inches does the shortest plant need to grow in order to reach a height of 2 inches? Height of Plants (inches) 14

30 5 th Grade Common Core Math Answer Key 1.) Find the volume of the rectangular prism. 2.) Miss Nannini rode her bike 3 kilometers. How many meters did she travel? 125 yd 3 3,000 meters 3.) The line plot below shows the number of miles Joseph ran in gym class this month. How many total miles did Joseph run? Simplify your answer by writing it as a mied number in lowest terms. 4.) Use the line plot from number 3 to answer this question: How many more 1/4 of a mile runs does Joseph need to run in order to complete 8 miles for this month? Miles Ran 7 1/4 miles 5.MD.2 Three 1/4 of a mile runs 5.M.D.2 5.) The line plot below shows the height of 11 plants the first week after being planted. What is the difference between the height of the tallest plant and shortest plant? 6.) Use the line plot in problem number 5 to answer this question: How many more inches does the shortest plant need to grow in order to reach a height of 2 inches? Height of Plants (inches) 5/6 of an inch 5.MD.2 1 1/6 inches 5.MD.2 14a

31 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Find the volume of the rectangular prism. 2.) Which shows the correct line plot for the data below? A.) B.) C.) D.) Value Tally Frequency 3 A 2 4 F 5 5 A 2 5 H ) Convert the unit: 75 feet = inches 4.) Sam's jewelry bo had a base of 14 feet, a height of 29 feet, and a width of 10 feet. What is the volume of her bo. 5.) Convert the unit: 6.) Convert the unit: 4,231 meters = kilometers 569 centimeters = kilometers 15

32 5 th Grade Common Core Math Answer Key 1.) Find the volume of the rectangular prism. 3.) Convert the unit: 160 cm 3 75 feet = inches 2.) Which shows the correct line plot for the data below? A.) B.) C.) D.) Value Tally Frequency 3 A 2 4 F 5 5 A 2 5 H MD.2 4.) Sam's jewelry bo had a base of 14 feet, a height of 29 feet, and a width of 10 feet. What is the volume of her bo. 900 inches 4,060 feet 3 5.) Convert the unit: 6.) Convert the unit: 4,231 meters = kilometers 569 centimeters = kilometers kilometers kilometers 15a

33 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) What is the volume of the cereal bo? 3 in 2.) Convert the unit: 12 yards = in. Yummy 13 in Cereal 8 in 3.) How many milliliters are there in a 2-liter bottle of diet coke? 4.) A cereal bo in the shape of a rectangular prism is 7 inches long, 10 inches high, and 3 inches wide. What is the volume of the bo in cubic inches? A.) 210 cubic inches B.) 420 cubic inches C.) 703 cubic inches D.) 2,100 cubic inches 5.) There are 12 inches in 1 foot. How could one determine the number of cubic inches in 1 cubic foot? 6.) Sammy collected 785 milliliters of rain water. How many liters of rain water did he collect? A.) multiply B.) add C.) multiply 12 by 12 D.) add

34 5 th Grade Common Core Math Answer Key 1.) What is the volume of the cereal bo? 3 in 2.) Convert the unit: 12 yards = in. Yummy 13 in Cereal 8 in 312 in 3 3.) How many milliliters are there in a 2-liter bottle of diet coke? 432 in 4.) A cereal bo in the shape of a rectangular prism is 7 inches long, 10 inches high, and 3 inches wide. What is the volume of the bo in cubic inches? A.) 210 cubic inches B.) 420 cubic inches C.) 703 cubic inches D.) 2,100 cubic inches 2,000 milliliters 5.) There are 12 inches in 1 foot. How could one determine the number of cubic inches in 1 cubic foot? 6.) Sammy collected 785 milliliters of rain water. How many liters of rain water did he collect? A.) multiply B.) add C.) multiply 12 by 12 D.) add liters 16a

35 Name: 5 th Grade Common Core Math Date: Show all of your work 1.) Convert the unit: 2 miles = yards 2.) A pan used to bake brownies is in the form of a rectangular prism. The pan is 9 inches long, 5 inches wide, and 3 inches deep. What is the volume of the pan? A.) 17 inches 3 B.) 45 inches 3 C.) 135 inches 3 D.) 945 inches 3 3.) How many ounces of dog food are in a 5- pound bag of dog food? 4.) Mike s baby brother weighed 8 pounds and 4 ounces. How many total ounces does Mike s baby brother weigh? 5.) Miss Nannini had a pool that had a width of 4 feet, a height of 6 feet, and a base of 20 feet. What was the volume of her pool? 6.) A board is 9 feet long. How many inches long is the board? 17

36 5 th Grade Common Core Math Answer Key 1.) Convert the unit: 2 miles = yards 2.) A pan used to bake brownies is in the form of a rectangular prism. The pan is 9 inches long, 5 inches wide, and 3 inches deep. What is the volume of the pan? A.) 17 inches 3 B.) 45 inches 3 C.) 135 inches 3 D.) 945 inches 3 3,520 yards 3.) How many ounces of dog food are in a 5- pound bag of dog food? 4.) Mike s baby brother weighed 8 pounds and 4 ounces. How many total ounces does Mike s baby brother weigh? 80 ounces 132 ounces 5.) Miss Nannini had a pool that had a width of 4 feet, a height of 6 feet, and a base of 20 feet. What was the volume of her pool? 6.) A board is 9 feet long. How many inches long is the board? 480 feet inches 17a

37 Get the complete 5 th Grade Common Core Math Review Problems Products **With Answer Keys! Click the pictures below! Operations and Algebraic Thinking Measurement and Data Geometry and Coordinate Graphing Numbers and Operations in Base Ten Numbers and Operations Fractions

38 All of the 5 th Grade Review Problems have been bundled into one document! Click the picture below to check it out!

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