5th Grade Math Name: Date: displayed publicly. Page: (1 of 8 )
Q 1. Miguel makes a boat display box for a school project. The display box is in the shape of a rectangular prism with a length of 29.2 centimeters, a height of 19.5 centimeters, and a width of 10 centimeters. The front view of the display box is shown. Round the given measurements of the display box to the nearest centimeter. What is the exact volume of the display box? Show your work and label your answer. Miguel centered the boat in the bottom of the display box. The boat has a length of 20 centimeters, a height of 12 centimeters, and a width of 6 centimeters. Exactly how many centimeters are on either side of the boat once it is centered in the display box? Show your work. Q 2. A cube has an edge length of 30 centimeters. displayed publicly. Page: (2 of 8 )
What is the volume of the cube? Show your work and label your answer. Explain what happens to the cube when each of the edge lengths is multiplied by. Explain what happens to the cube when each of the edge lengths is multiplied by 8. Part D Write a fraction that each edge length can be multiplied by without changing the volume of the cube. Explain your answer. Q 3. Terrence measured and recorded the lengths, in feet, of 9 pieces of rope. Draw a line plot to display the data. Label the scale and create a title for the line plot. What is the total length, in feet, of the 9 pieces of rope? Show your work. Each rope costs $3.00 per foot. What is the total cost of all 9 pieces of rope? Part D Terrence decides to buy only foot and foot pieces of ropes. He buys at least two more pieces of foot rope than foot ropes. If Terrance paid displayed publicly. Page: (3 of 8 )
$14, how many pieces of foot and foot ropes did he buy? Show your work or explain your answer. Part E Olga tells Terrence there is more than one combination of foot and foot pieces of rope he could buy and still spend $14. Is the friend correct given Terrence s requirements? Explain your answer. Q 4. Ms. Smith bought a bag of 32 marbles to give to her 6 grandchildren. The table shows the fractions of marbles by color. How many marbles of each color did Ms. Smith buy? Show or explain your displayed publicly. Page: (4 of 8 )
work. Check that your answer is correct by finding the total number of marbles. How many more blue marbles than green marbles were in the bag? Show or explain your work using both the fractions and the number of each color of marble. What is the fewest number of additional marbles Ms. Smith can buy so that each of her grandchildren gets the same number of marbles and the same number of each color with no leftover marbles? Explain how you got your answer. Q 5. Marco has 6 cups of brown sugar. He is going to make muffins for a school fundraiser. Each batch of 10 muffins requires cup of brown sugar. How many cups of brown sugar are in each muffin? Explain why you chose the operation you used. What is the maximum number of batches of muffins that Marco can make with this amount of brown sugar? Use a visual model to explain your answer. Prove your answer in is correct using the relationship between multiplication and division. Q 6. It takes Tomas about 2 hours to deliver the 57 newspapers on his displayed publicly. Page: (5 of 8 )
route. He earns $0.10 for each newspaper he delivers. About how much does Tomas make per hour? A)$8.00 B)$6.00 C)$3.00 D)$2.00 Q 7. Each night Ann and her family empty their pockets, purses, and wallets and place all of the pennies, nickels, dimes, and quarters in a large container. At the end of the month, Ann helps her father count the coins. If Ann counted 345 pennies, 142 dimes, and 60 quarters, how much money did she count? A)$32.65 B)$47.65 C)$385.45 D)$547.00 Q 8. Alice bought two pairs of socks for $2.54 each, including tax. She paid with a ten dollar bill. How much change should she receive? A)$4.92 B)$5.08 C)$7.92 D)$7.46 Q 9. Martha's pet ferret measures 42.27 centimeters long. displayed publicly. Page: (6 of 8 )
What is that length rounded to the nearest tenth of a centimeter? A)42.0 centimeters B)42.1 centimeters C)42.2 centimeters D)42.3 centimeters Q 10. Which number goes into the box to make the statement true? displayed publicly. Page: (7 of 8 )
A)7 B)6 C)3 D)8 displayed publicly. Page: (8 of 8 )