District Math Benchmark – 4th Grade Name: _________________________________________ Date: ___________________ Part 1 Multiple Choice Identify the choice that best completes the statement or answers the question. Show your work. 1. 2. The value of the 7 in 507,264 is 10 times the value of the 7 in which number? A. 493,725 B. 587,921 C. 672,439 D. 714,093 What is the missing number in the equation below? 5,600 ÷ 8 = ___?___ 3. 4. A. 7 B. 70 C. 700 D. 7,000 Which number sentence is true? A. 376,425 > 367,419 B. 337,425 > 337,524 C. 336,425 < 335,426 D. 327,425 < 327,416 Alex bought 2 printer cartridges for $28 each and a printer for $85. He gave the cashier $150. How much change should Alex have received from the cashier? A. $9 B. $11 C. $19 D. $37 5. 6. 7. 8. A store ordered 28 boxes holding 12 banana muffins each and 5 boxes holding 6 blueberry muffins each. What was the total number of muffins the store ordered? A. 51 B. 366 C. 440 D. 10,080 Which number would be 16,000 when rounded to the nearest thousand? A. 15,472 B. 15,518 C. 16,511 D. 16,739 Which expression represents the number 13,809 written in expanded form? A. 13 + 80 + 9 B. 13,000 + 800 + 90 C. 9 + 1,300 + 80 D. 3,000 + 10,000 + 9 + 800 The number below has the digit 6 in two different places. 916,672 How many times greater is the value represented by the 6 in the thousands place than the value represented by the 6 in the hundreds place? A. 10 B. 100 C. 1,000 D. 10,000 9. 10. The fourth and fifth graders sell popsicles to raise money for a field trip. The fourth graders raise $2,146 and the fifth graders raise $2,225. How much money did the fourth and fifth graders raise in all? A. $4,471 B. $4,371 C. $4,361 D. $4,311 Miley spends $64 at a football game. She buys a T-shirt for $32. She then buys a bottle of water for $8 and 2 pizzas. How much is each pizza? A. $16 B. $10 C. $9 D. $12 11. 4 thousands + 3 tens + 5 hundreds is less than which number below? 12. 13. A. 4 thousands + 5 tens + 3 hundreds B. 8 hundreds + 3 thousands + 8 ones C. 4 thousands + 7 ones + 8 tens + 6 hundreds D. 9 hundreds + 9 tens + 2 thousands What is 735,286 rounded to the nearest ten thousand? A. 700,000 B. 730,000 C. 735,000 D. 740,000 A gardener ordered 46 flowering bushes to plant in a park. Each bush cost $27. What was the total cost of the bushes? A. $1,102 B. $1,142 C. $1,202 D. $1,242 14. 15. 16. 17. 18. Luke uses 6 eggs to make a large omelet and 3 eggs to make a small omelet. How many eggs would he need to make 5 large omelets and 4 small omelets? A. 23 eggs B. 32 eggs C. 42 eggs D. 81 eggs Which number is 9,153 greater than 12,697? A. 21,740 B. 21,750 C. 21,850 D. 104,227 In the number 345,486, how many times greater is the value represented by the 4 in the ten thousands place than the value represented by the 4 in the hundreds place? A. 1 B. 10 C. 100 D. 1,000 Trevor, Michael, and Jason work at a restaurant. Last night there was $115 in the tip jar. They decided to divide the tips equally among them and leave any extra in the jar. How much did they leave in the jar? A. $1 B. $2 C. $38 D. $39 A school has 17 tables in the cafeteria. Each table seats 12 students. What is the greatest number of students that can be seated at these tables? A. 114 B. 184 C. 194 D. 204 19. Emily and Anna made bead bracelets on Saturday. Emily brought 2,215 beads, and Anna brought 1,079 more beads than Emily. What is the total number of beads they had to make bracelets? A. 3,248 B. 3,294 C. 4,373 D. 5,509 20. Camy walked 6 miles the first week of this month, three times that far the second week, and then 9 miles the third week. How many miles did Camy walk altogether? 21. 22. A. 18 miles B. 33 miles C. 43 miles D. 54 miles Kim has twenty-three thousand, four hundred sixty stickers in her collection. Rob has 20,000 + 3,000 + 60 stickers in his collection. Which statement correctly compares Kim’s and Rob’s stickers? A. 2,346 < 23,060; Rob has more stickers B. 23,460 < 23,600; Rob has more stickers C. 23,460 > 23,060; Kim has more stickers D. Both have the same amount of stickers Phil’s Cricket shop sold 228,207 live crickets in July and 202,678 in August. To the nearest thousand, how many worms did Phil’s shop sell in July and August? A. 400,000 B. 430,000 C. 430,900 D. 431,000 23. 24. 25. A school’s goal is to raise $6,000 to donate to charity. The school has already raised $3,157. How much more money does the school need to raise? A. $2,843 B. $3,843 C. $3,953 D. $9,157 Which would not be a correct way to solve 38 x 17? A. (38 x 7) + (38 x 10) B. (17 x 8) + (17 x 30) C. (8 x 7) + (30 x 7) + (8 x 10) + (30 x 10) D. (8 x 7) + (30 x 7) + (8 x 1) + (30 x 1) The cost of a ticket to the museum is $7. The museum collected $3,066 in ticket sales last month. To find out how many tickets were sold, 3,066 is divided by 7 as shown in the model below. 400 7 2,800 30 210 8 56 Which expression shows how to find the answer to this division problem? 26. A. 400 + 30 + 8 B. 400 + 30 + 8 + 7 C. 400 + 210 + 56 D. 2,800 + 210 + 56 Which number has a 5 that represents a value ten times lesser than the value represented by the 5 in 41,253? A. 31,254 B. 41,523 C. 43,125 D. 51,324 27. 28. 29. 30. A machine is used to make rope. In its first hour, it made 264,320 feet of rope. There is still 535,175 feet left to be made. How much rope, rounded to the nearest ten thousand, will the machine produce in all? A. 800,000 B. 799,000 C. 790,000 D. 700,000 A local cable company charges $3 to rent older movies, $6 to rent current movies, plus a $25 monthly fee. Last month, Liam rented 8 older movies and 4 current movies. Which equation shows how much Liam will need to pay the cable company? A. c = 3 + 6 + 8 + 4 + 25 B. c = (3 x 4) + (6 x 8) + 25 C. c = (8 x 3) + (4 x 6) + 25 D. c = (3 x 6) + (8 x 4) + 25 The movie theater collected $915 in ticket sales last night. Each ticket cost $5. How many tickets were sold? A. 915 ÷ 5 = (900 ÷ 5) + 10 + 5 = 195 tickets B. 915 ÷ 5 = (900 ÷ 5) + (10 ÷ 5) + (5 ÷ 5) = 183 tickets C. 915 ÷ 5 = (900 ÷ 5) + (10 ÷ 5) + (5 ÷ 5) = 171 tickets D. 915 ÷ 5 = (900 ÷ 5) - 10 - 5 = 165 tickets Hadley is solving the problem 675 x 4. Her first step is shown below (600 x _____) + (70 x _____) + (5 x _____) What number should Hadley write in the blanks? A. 4 B. 5 C. 70 D. 2,700 District Math Benchmark – 4th Grade Name: _________________________________________ Date: _________________ Part 2 Short Answer/Extended Response Question 31 – 2 points A cargo ship is carrying nine shopping crates. Each crate is equal in mass, and the total mass of all nine crates is 4,707 kilograms. What is the mass, in kilograms, of each crate? Show your work. Answer ____________________________kilograms Questions 32 & 33 – 2 points total There were 820,445 people living in Indianapolis and 805,235 people living in San Francisco at the time of the last census. Question 32 – 1 point Use >, <, or = to compare these numbers. Answer ____________________________________________________________________ Question 33 – 1 point Write 820,445 in expanded form. Answer ____________________________________________________________________ Question 34 – 2 points Madelyn uses 58 beads to make a necklace. She plans to sell 36 necklaces at each craft fair she goes to this summer. She plans to go to 4 craft fairs this summer. What is the total number of beads that Madelyn will use to make the necklaces she plans to sell at the 4 craft fairs? Show your work. Answer ____________________beads Questions 35 & 36 – 4 points total A grocery store had cans of soup on 7 different shelves. The bottom 4 shelves each had 29 cans. The top 3 shelves each had 42 cans. Question 35 – 2 points What was the total number of cans on the shelves? Show your work. Answer ____________________cans of soup Question 36 – 2 points After 56 cans of soup were sold, a clerk moved the remaining cans to a display case. The display case had shelves that could each hold 9 cans. How many shelves were needed to fit all the remaining cans? Answer ____________________shelves Questions 37 & 38 – 4 points total The table below shows the number of people who attended an amusement park over the weekend. AMUSEMENT PARK ATTENDANCE Day Saturday Sunday Number of People 120,765 221,324 Question 37 – 2 points The manager of the park would like to know approximately how many more people attended the park on Sunday than on Saturday. (When answering this question, be sure to round the attendance of each day to the nearest hundred first). Show your work. Answer __________________________more people Question 38 – 2 points Explain on the lines below how to round the number of people who attended on Saturday to the nearest thousand. ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Questions 39, 40 & 41 – 3 points total There are 202 soup cans in the factory. One crate holds 200 cans. A case holds 20 cans. The rest of the cans go into individual boxes. The factory wants to use as few packages as possible. Question 39 – 1 point How many crates, cases, and individual boxes will you need to hold the 202 soup cans? Answer ______________ crates ______________ cases ______________ boxes Question 40 – 1 point If you only had cases and individual boxes, how many of each would you need? Answer ______________ cases ______________ boxes Question 41 – 1 point If you only had individual boxes, how many would you need? Answer ______________ boxes
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