Name Date Summer Math Completed 5 th grade Entering 6 th grade Instructions: Please complete the following problems showing all work. This packet is due on the first day of school and will count as your first daily grade of the semester. This will be a completion grade. Full credit will not be given if work is not shown where applicable. Once your Summer Work is graded for completion, you will have the opportunity to review the packet with your teacher. Your first quiz of the semester will cover the topics in this packet. If you are unclear as to solving a problem, then you are welcome to check www.coolmath.com as a resource or www.khanacademy.org for short videos which will explain the process. There are many other web resources, but those are two that have proven to be excellent. You should work through the problems until the correct solution is found, being sure to show all of the correct work along with this solution. Section 1 Problems: 1. You are a member of a summer movie club at your local movie theater. The club meets every Wednesday in July to watch a movie. If the first meeting is on July 5, on what other dates in July will the club meet? 2. Describe the following pattern: 3, 10, 17, 24, Then write the next three numbers. 3. Describe the following pattern: 4, 20, 100, 500, Then write the next three numbers. 4. What are the next three shapes that should be put in the row of shapes below? 1. 2. 3. 4. Patterns Answers: 5. Write the first four numbers in the pattern start with 4 and repeatedly add 8. 5. 1 P a g e
Section 2 Problems: 1. Round 7.623 to the nearest tenth. 1. Answers: 2. Round 3.354 to the nearest tenth. 2. 3. Round 2.742 to the nearest hundredth. 3. 4. Round 1.539 to the nearest hundredth. 4. 5. Complete the statement using <, >, or =. 3.34? 3.24 6. Complete the statement using <, >, or =. 2.36? 2.67 5. 6. 7. Order 3.15, 3.28, 3.06, 3, and 3.1 from least to greatest. 7. 8. Order 6.15, 6.3, 6.2, 6.05, and 6.25 from least to greatest. 8 2 P a g e
Section 3 Whole Numbers and Decimals You MUST show ALL work for the following problems #1-23 Show work on this page in the area provided for each problem. Problems: 1. Add. 1. Answers: 105 + 3046 2. Add. 2. 2,848 + 5,620 + 8,012 3. Subtract. 3. 653 48 4. Subtract. 4. 8,000 5672 3 P a g e
5. Multiply. 5. 659 72 6. Multiply. 6. 5280 91 7. Divide. 7. 366 6 8. Divide. 8. 1725 69 9. Add. 9. 7.08 + 10.74 4 P a g e
10. Add. 10. 3.328+11.78 11. Add. 11. 2+12.32 12. Subtract. 12. 2.8 2. 28 13. Subtract. 13. 9.5 5. 4 14. Find the difference. 14. 7 2.91 5 P a g e
15. Find the product. 15. 6. 30 0.26 16. Find the product. 16. 0.83 1.9 17. Find the product. 17. 62.23 85 18. Find the quotient. 18. 9 1.8 19. Find the quotient. 19. 9.5 1.9 6 P a g e
20. Find the quotient. 20. 0.060 1.2 21. A rectangular park about 6.2 miles long and about 0.3 mile wide. What is the area of the park? 21. 22. For your birthday you receive a $25 gift certificate. You want to buy 3 used video games whose prices are $10.79, $6.20, and $6.92. Can you buy all 3 games using the gift certificate? 22. 23. You buy a pack of 8 trading cards for $6.16. Find the price of each card. 23. 7 P a g e
Section 4 Fractions You MUST show ALL work for at least the following problems #13-26 Show work on this page in the area provided for each problem. 1. 2. 3. 4. 5. 6. Problems: Write 4 9 11 as an improper fraction. 1. Write 6 13 15 as an improper fraction. 2. Write 3 7 9 as an improper fraction. 3. Write 7 3 as a mixed number. 4. Write 22 5 as a mixed number. 5. Write 23 9 as a mixed number. 6. Answers: 7. 8. Write the fraction 6 12 in simplest form. Write the fraction 15 in simplest form. 24 7. 8. 9. Find the sum. Simply if possible. 9. 2 6 + 3 6 = 10. Find the sum. Simply if possible. 10. 2 18 + 3 18 = 11. Find the difference. Simply if possible. 11. 7 8 5 8 = 8 P a g e
12. Find the difference. Simply if possible. 12. 5 10 2 10 = 13. Find the sum. Simply if possible. 13. 9 10 + 8 9 = 14. Find the sum. Simply if possible. 14. 3 4 + 2 3 15. Find the difference. Simply if possible. 15. 13 36 1 9 16. Find the difference. Simply if possible. 16. 4 5 3 7 17. Find the sum. Simply if possible. 17. 8 6 21 + 1 2 21 9 P a g e
18. Find the sum. Simply if possible. 18. 2 7 8 + 3 5 6 19. Find the difference. Simply if possible. 19. 7 3 4 6 1 4 20. Find the difference. Simply if possible. 20. 3 5 6 2 3 4 21. Find the difference. Simply if possible. 21. 7 2 2 3 22. Find the product. Simplify if possible. 23. 3 5 1 2 10 P a g e
23. Find the product. Simplify if possible. 23. 2 3 3 4 24. Find the product. Simplify if possible. 24. 5 1 2 4 1 4 25. Find the quotient. Simplify if possible. 25. 1 2 1 4 26. Find the quotient. Simplify if possible. 26. 3 1 6 11 P a g e
Section 5 Problems: 1. List all of the factors of 24. 1. Factors and Multiples Answers: 2. List all of the factors of 19. 2. 3. Tell whether the number 24 is prime or composite. 3. 4. Tell whether the number 19 is prime or composite. 4. Section 6 Problems: 1. Name the place value of the underlined digit. 82.395 2. Name the place value of the underlined digit. 0.784 3. Name the place value of the underlined digit. 946,207 4. Name the place value of the underlined digit. 57,862 5. Write the number in standard form. twenty-six million, seven hundred fifty thousand, six hundred thirty-four. 1. 2. 3. 4. 5. Answers: Place Value 12 P a g e