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5 th Grade Summative Review Addition/Subtraction of Whole Numbers Order of Operations

5 th Grade Summative Review Addition/Subtraction of Whole Numbers Order of Operations Factors/Multiples Prime/Composite Numbers Squares and Square Roots Distributive Property Estimation Determining Products Finding the mean Writing Algebraic Expressions/Equations

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5 th Grade Summative Review Addition/Subtraction of Whole Numbers Order of Operations

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  1. 5th Grade Summative Review Addition/Subtraction of Whole Numbers Order of Operations Factors/Multiples Prime/Composite Numbers Squares and Square Roots Distributive Property Estimation Determining Products Finding the mean Writing Algebraic Expressions/Equations Interpreting Remainders

  2. 26 x 7 = • (20 x 6) + (6 x 7) • (20 + 7) x (6 + 7) • (20 x 7) + (6 x 7) • (20 x 7) x (6 x 7)

  3. 26 x 7 = • (20 x 6) + (6 x 7) • (20 + 7) x (6 + 7) • (20 x 7) + (6 x 7) • (20 x 7) x (6 x 7)

  4. Find the product of 29 and 35. Use any method you would like to use.

  5. Find the product of 29 and 35. Use any method you like to use. The product is 1015.

  6. Solve for x in the problem below: x – 312 = 542

  7. Solve for x in the problem below: x – 312 = 542 The answer is 854

  8. Joy, Gary, and Donna each have two bags of candy. There are twenty pieces of candy in each bag. Which expression below could be used to find the total number of pieces of candy? • 3 + 2 + 20 • 3 x (2 + 20) • 3 x 2 x 20 • 3 + (2 x 20)

  9. Joy, Gary, and Donna each have two bags of candy. There are twenty pieces of candy in each bag. Which expression below could be used to find the total number of pieces of candy? • 3 + 2 + 20 • 3 x (2 + 20) • 3 x 2 x 20 • 3 + (2 x 20)

  10. Jackie does 35 push-ups every day for x days. Which expression below represents the total number of push-ups she does? • 35 + x • 35 – x • 35x • 35 ÷ x

  11. Jackie does 35 push-ups every day for x days. Which expression below represents the total number of push-ups she does? • 35 + x • 35 – x • 35x • D) 35 ÷ x

  12. Simplify the following expression: 14 – 2 x 3 + 4

  13. Simplify the following expression: 14 – 2 x 3 + 4 The answer is 12.

  14. Sally needs to simplify the expression 24 – (7 + 1) + 5 x 2 Which operation needs to be done second? • Addition • Subtraction • Multiplication • Division

  15. Sally needs to simplify the expression 24 – (7 + 1) + 5 x 2 Which operation needs to be done second? • Addition • Subtraction • Multiplication • Division

  16. There are 42 rows of chairs in an auditorium. Each row has 28 chairs in it. What is a reasonable estimate for the number of chairs in the auditorium? • 70 chairs • 120 chairs • 800 chairs • 1200 chairs

  17. There are 42 rows of chairs in an auditorium. Each row has 28 chairs in it. What is a reasonable estimate for the number of chairs in the auditorium? • 70 chairs • 120 chairs • 800 chairs • 1200 chairs

  18. There are three fish tanks in a store. Each tank has 4 goldfish and 5 angel fish in it. Write two expressions that could be used to determine the total number of fish there are in all. Then, tell how many total fish there are in the store.

  19. There are three fish tanks in a store. Each tank has 4 goldfish and 5 angel fish in it. Write two expressions that could be used to determine to total number of fish there are in all. Then, tell how many total fish there are in the store. 3 x (4 + 5) = (3 x 4) + (3 x 5) There are a total of 27 fish in the store.

  20. Which of the following sets of numbers are all perfect squares? • 3, 6, 9, 12 • 4, 9, 15, 25 • 9, 25, 36, 64 • 4, 16, 25, 75

  21. Which of the following sets of numbers are all perfect squares? • 3, 6, 9, 12 • 4, 9, 15, 25 • 9, 25, 36, 64 • 4, 16, 25, 75

  22. Which of the following numbers is the square root of 9? • 3 • 6 • 9 • 81

  23. Which of the following numbers is the square root of 9? • 3 • 6 • 9 • 81

  24. I am thinking of a number. My number is a multiple of 4. My number is a square number smaller than 50. My number is greater than 20. What is my number? • 16 • 28 • 32 • 36

  25. I am thinking of a number. My number is a multiple of 4. My number is a square number smaller than 50. My number is greater than 20. What is my number? • 16 • 28 • 32 • 36

  26. Kendra has 400 books at her house. She gives 32 books to her cousin, 57 books to her best friend and 75 books to the local library. How many books did Kendra give away? How many books does she have left?

  27. Kendra has 400 books at her house. She gives 32 books to her cousin, 57 books to her best friend and 75 books to the local library. How many books did Kendra give away? How many books does she have left? Kendra gave away 164 books and has 236 books left.

  28. I am thinking of a number. The number I am thinking of is a prime number greater than 25 and is odd. The number is less than 35. The sum of the digits of the number is 11. What is the number?

  29. I am thinking of a number. The number I am thinking of is a prime number greater than 25 and is odd. The number is less than 35. The sum of the digits of the number is 11. What is the number? The number I am thinking of is 29.

  30. Tom needs $50 to buy a toy. He has a total of $28 in his piggy bank. Let x represent how much more money he needs to buy the toy. Which two number sentences below could be used to find out how much more money he needs? (Give two answers!) • 50 + 28 = x • 28 - x = 50 • 28 + x = 50 • 50 – 28 = x

  31. Tom needs $50 to buy a toy. He has a total of $28 in his piggy bank. Let x represent how much more money he needs to buy the toy. Which two number sentences below could be used to find out how much more money he needs? (Give two answers!) • 50 + 28 = x • 28 - x = 50 • 28 + x = 50 • 50 – 28 = x

  32. Sally needs to take exactly 180 pieces of candy to a party. She has five different bags of candy with different amounts in each bag. Bag A has 35 pieces. Bag B has 79 pieces. Bag C has 42 pieces. Bag D has 47 pieces. Bag E has 54 pieces. Sally chooses Bags B and D. Which other bag should she choose so she has exactly 180 pieces? .

  33. Sally needs to take exactly 180 pieces of candy to a party. She has five different bags of candy with different amounts in each bag. Bag A has 35 pieces. Bag B has 79 pieces. Bag C has 42 pieces. Bag D has 47 pieces. Bag E has 54 pieces. Sally chooses Bags B and D. Which other bag should she choose so she has exactly 180 pieces? Answer: Bag E

  34. Becky has 8 different stacks of books with n books in each stack. Which expression below could be used to find the total number of books Becky has all together? • 8 + n • 8 – n • 8n • 8 ÷ n

  35. Becky has 8 different stacks of books with n books in each stack. Which expression below could be used to find the total number of books Becky has all together? • 8 + n • 8 – n • 8n • 8 ÷ n

  36. There are 6 cupcakes on the counter. Each cupcake has 4 red stars, 2 blue stars and 3 white stars on it. How many total stars are there in all?

  37. There are 6 cupcakes on the counter. Each cupcake has 4 red stars, 2 blue stars and 3 white stars on it. How many total stars are there in all? There are a total of 54 stars.

  38. Look at the table below. Which of the following equations fits the table? • y – 4 = x • x – y = 2 • x + y = 10 • 4x = y

  39. Look at the table below. Which of the following equations fits the table? • y – 4 = x • x – y = 2 • x + y = 10 • 4x = y

  40. Joe and Bill are working on solving two different expressions. They know that in their expressions x = 4 and y = 5. The first expression they are working on is x2 + y2 The second expression they are working on is (x + y)2 Joe says that the first expression is greater and Bill says the second expression is greater. Who is right? Show your thinking.

  41. Joe and Bill are working on solving two different expressions. They know that in their expressions x = 4 and y = 5. The first expression they are working on is x2 + y2 The second expression they are working on is (x + y)2 Joe says that the first expression is greater and Bill says the second expression is greater. Who is right? Show your thinking. Answer: Bill is right. The first expression is equal to 41 and the second expression is equal to 81.

  42. Dr. Kempe had a total of 342 pieces of chocolate. She then ate n pieces, which left her with 319 pieces of chocolate. Write an algebraic equation that describes this situation and solve. Algebraic equation: _____________________________ Solution: _______________________

  43. Dr. Kempe had a total of 342 pieces of chocolate. She then ate n pieces, which left her with 319 pieces of chocolate. Write an algebraic equation that describes this situation and solve. Algebraic equation: 342 – n = 319 OR 319 + n = 342 Solution: n = 23 pieces

  44. There are 141 people that are going to attend a party. Each table at the party can seat 8 people. How many tables will be needed at the party? • 10 tables • 17 tables • 18 tables • 22 tables

  45. There are 141 people that are going to attend a party. Each table at the party can seat 8 people. How many tables will be needed at the party? • 10 tables • 17 tables • 18 tables • 22 tables

  46. Look at the graph below. Determine the mean number of vanilla ice cream cones that were sold each day.

  47. Look at the graph below. Determine the mean number of vanilla ice cream cones that were sold each day. Answer: The mean number of vanilla ice cream cones sold each day was 11.

  48. Good luck on your test!!

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