Name: ________________________ Class: ___________________ Date: __________ ID: A Chapter 8 Practice Test ____ 1. Aaron made a list of some multiples of 1 . Which could be Aaron’s list? 8 A. 1 , 1 , 1 , 1 , 1 8 16 24 32 40 B. 1 , 2 , 3 , 4 , 5 8 9 10 11 12 C. 1 , 2 , 3 , 4 , 5 8 8 8 8 8 D. 1, 2, 3, 4, 5 ____ 2. Look at the number line. What fraction goes directly below the whole number 2? A. 3 10 B. 3 5 C. 8 5 D. 10 5 1 Name: ________________________ ____ ID: A 3. Sandi buys some fabric to make a quilt. She needs 1 yard of each of 9 5 types of fabric. Sandi writes the following equation. What number goes in the box to make the statement true? 9 =F× 1 5 5 A. B. C. D. ____ 9 8 5 4 4. A recipe for one dozen bran muffins needs 1 cup of raisins. 3 How many dozen bran muffins can be made with 2 cups of raisins? A. B. C. D. 2 4 6 8 5. Write the fraction 5 as a product of a whole number and a unit fraction. 8 Explain how that product is equivalent to 5 . 8 2 Name: ________________________ ____ ID: A 6. Phil drew a number line showing multiples of 3 . 6 Which number on the number line shows the product 2 × 3 ? 6 A. 2 6 B. 3 6 C. 6 6 D. 9 6 3 Name: ________________________ ____ ID: A 7. Gwen listed the multiples of 3 . Which is not a multiple of 3 ? 10 10 A. 8 10 B. 9 10 C. 15 10 D. 30 10 ____ 8. Oleg drew a number line to help him multiply 4 × 2 . 5 Which shows 4 × 2 written as the product of a whole number and a unit 5 fraction? A. 4 × 1 5 B. 4 × 2 5 C. 8 × 1 5 D. 8 × 1 4 4 Name: ________________________ ____ ID: A 9. Alma is making 3 batches of tortillas. She needs to add 3 cup water to 4 each batch. Her measuring cup holds 1 cup. How many times must Alma 4 measure 1 cup of water to have enough for all the tortillas? 4 A. B. C. D. 4 6 8 9 10. Explain how to write the first three multiples of 4 . 9 ____ 11. Alani uses 3 cup pineapple juice to make one Hawaiian sweet bread. How 4 much pineapple juice will she use to make 5 sweet breads? A. 15 cups 4 B. 11 cups 4 C. 10 cups 4 D. 8 cups 4 5 Name: ________________________ ID: A ____ 12. Jason writes repeated addition to show 4 × 2 . Which shows an expression 3 Jason could use? A. 4 + 1 + 1 + 1 3 3 3 B. 2 + 2 + 2 + 2 12 12 12 12 C. 2 + 2 + 2 + 2 3 3 3 3 D. 1 + 1 + 1 + 1 3 3 3 3 ____ 13. Mr. Tuyen uses 5 of a tank of gas each week to drive to and from work. 8 How many tanks of gas does Mr. Tuyen use in 5 weeks? A. 40 8 B. 25 8 C. 10 8 D. 5 40 6 Name: ________________________ ID: A ____ 14. Mark bought 3 packages of grapes. Each package weighed 7 pound. How 8 many pounds of grapes did Mark buy? A. 10 pounds 8 B. 21 pounds 8 C. 10 pounds D. 21 pounds ____ 15. Mickey exercises for 3 hour every day. How many hours does he exercise 4 in 8 days? A. 4 hours B. 22 hours 4 C. 24 hours 4 D. 26 hours 4 7 Name: ________________________ ID: A ____ 16. Malak solved a problem that had an answer of 33 . How can Malak write 5 33 as a mixed number? 5 A. 6 3 5 B. 5 3 5 C. 4 3 5 D. 3 3 5 ____ 17. Bo recorded a basketball game that lasted 2 1 hours. Bo watched the 2 game 3 times last week. How many hours did Bo spend watching the game? A. 6 1 hours 2 B. 7 1 hours 2 C. 9 hours D. 10 hours 8 Name: ________________________ ID: A ____ 18. Carrie spends 1 1 hours practicing the piano 3 times a week. How much 4 time does Carrie spend practicing the piano in one week? A. 4 1 hours 4 B. 4 hours C. 3 3 hours 4 D. 3 1 hours 4 ____ 19. Yasuo always puts 1 1 teaspoons of honey in his tea. Yesterday Yasuo 2 drank 5 cups of tea. How much honey did he use in all? A. 6 1 teaspoons 2 B. 7 1 teaspoons 2 C. 8 teaspoons D. 8 1 teaspoons 2 20. Amanda is building a fence. She needs a pole to measure 4 5 feet from the 6 ground. Explain how she can write 4 5 as a fraction. 6 9 Name: ________________________ ID: A ____ 21. Rudi is comparing shark lengths. He read that a sandbar shark is 4 1 feet 2 long. A thresher shark is 3 times as long as that. How long is a thresher shark? A. 13 1 feet 2 B. 12 feet C. 7 1 feet 2 D. 7 feet ____ 22. Cyndi made macaroni salad. She used 1 1 cups of mayonnaise. She used 8 9 times as much macaroni. How many cups of macaroni did Cyndi use? A. 9 2 cups 3 B. 10 1 cups 8 C. 18 cups D. 81 cups 10 Name: ________________________ ID: A ____ 23. A flight takes 1 1 hours to get from Dyson to Hardy. The flight takes 3 times 4 as long to get from Dyson to Williams. How long is the flight from Dyson to Williams? A. 3 3 hours 4 B. 4 hours C. 4 1 hours 4 D. 4 3 hours 4 ____ 24. Paz weighed 5 5 pounds when she was born. By age 2, she weighed 4 8 times as much. If p stands for pounds, which equation could you use to find Paz’s weight at age 2? A. p = 4 + 5 5 8 B. p = (4 × 5) + 5 8 C. p = 4 × 5 5 8 ÊÁ ˆ˜ D. p = ÁÁÁ 4 × 5 ˜˜˜ + 5 8¯ Ë 25. A recipe for rice and beans uses 1 1 cups of beans and 4 times as much 2 rice. Jess has plenty of beans but only 5 cups of rice. Does she have enough rice to make the recipe? Explain. 11 ID: A Chapter 8 Practice Test Answer Section 1. ANS: C PTS: 1 DIF: average REF: Lesson 65: Multiples of Unit Fractions OBJ: Write a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4a Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction as a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product of 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: multiple | unit fraction NOT: Number and Operations - Fractions 2. ANS: D PTS: 1 DIF: average REF: Lesson 65: Multiples of Unit Fractions OBJ: Write a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4a Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction as a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product of 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: multiple | unit fraction NOT: Number and Operations - Fractions 3. ANS: A PTS: 1 DIF: average REF: Lesson 65: Multiples of Unit Fractions OBJ: Write a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4a Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction as a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product of 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: multiple | unit fraction NOT: Number and Operations - Fractions 1 ID: A 4. ANS: C PTS: 1 DIF: average REF: Lesson 65: Multiples of Unit Fractions OBJ: Write a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4a Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction as a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product of 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: multiple | unit fraction NOT: Number and Operations - Fractions 5. ANS: 5 × 1 ; Possible explanation: all unit fractions have 1 as the numerator. The 8 unit fraction is 1 . Multiplication is repeated addition. 5 × 1 is the same as 8 8 1 + 1 + 1 + 1 + 1. 8 8 8 8 8 PTS: 1 DIF: average REF: Lesson 65: Multiples of Unit Fractions OBJ: Write a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4a Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction as a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product of 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: multiple | unit fraction NOT: Number and Operations - Fractions 2 ID: A 6. ANS: C PTS: 1 DIF: average REF: Lesson 66: Multiples of Fractions OBJ: Write a product of a whole number and a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 7. ANS: A PTS: 1 DIF: average REF: Lesson 66: Multiples of Fractions OBJ: Write a product of a whole number and a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 8. ANS: C PTS: 1 DIF: average REF: Lesson 66: Multiples of Fractions OBJ: Write a product of a whole number and a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 3 ID: A 9. ANS: D PTS: 1 DIF: average REF: Lesson 66: Multiples of Fractions OBJ: Write a product of a whole number and a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 10. ANS: Possible explanation: multiply the fraction by the counting numbers. 1 × 4 = 4 ; 2 × 4 is 4 + 4 , which is 8 ; 3 × 4 is 4 + 4 + 4 , which is 12 . The 9 9 9 9 9 9 9 9 9 9 9 first 3 multiples are 4 , 8 , 12 . 9 9 9 PTS: 1 DIF: average REF: Lesson 66: Multiples of Fractions OBJ: Write a product of a whole number and a fraction as a product of a whole number and a unit fraction. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 4 ID: A 11. ANS: A PTS: 1 DIF: average REF: Lesson 67: Multiply a Fraction by a Whole Number Using Models OBJ: Use a model to multiply a fraction by a whole number. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 12. ANS: C PTS: 1 DIF: average REF: Lesson 67: Multiply a Fraction by a Whole Number Using Models OBJ: Use a model to multiply a fraction by a whole number. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 13. ANS: B PTS: 1 DIF: average REF: Lesson 67: Multiply a Fraction by a Whole Number Using Models OBJ: Use a model to multiply a fraction by a whole number. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 5 ID: A 14. ANS: B PTS: 1 DIF: average REF: Lesson 67: Multiply a Fraction by a Whole Number Using Models OBJ: Use a model to multiply a fraction by a whole number. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 15. ANS: C PTS: 1 DIF: average REF: Lesson 67: Multiply a Fraction by a Whole Number Using Models OBJ: Use a model to multiply a fraction by a whole number. NAT: CC.4.NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.) TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 16. ANS: A PTS: 1 DIF: average REF: Lesson 68: Multiply a Fraction or Mixed Number by a Whole Number OBJ: Multiply a fraction by a whole number to solve a problem. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: mixed number NOT: Number and Operations - Fractions 6 ID: A 17. ANS: B PTS: 1 DIF: average REF: Lesson 68: Multiply a Fraction or Mixed Number by a Whole Number OBJ: Multiply a fraction by a whole number to solve a problem. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: mixed number NOT: Number and Operations - Fractions 18. ANS: C PTS: 1 DIF: average REF: Lesson 68: Multiply a Fraction or Mixed Number by a Whole Number OBJ: Multiply a fraction by a whole number to solve a problem. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: mixed number NOT: Number and Operations - Fractions 7 ID: A 19. ANS: B PTS: 1 DIF: average REF: Lesson 68: Multiply a Fraction or Mixed Number by a Whole Number OBJ: Multiply a fraction by a whole number to solve a problem. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: mixed number NOT: Number and Operations - Fractions 20. ANS: Possible explanation: she needs to write a fraction with a denominator of 6. Each whole = 6 . So 4 wholes = 4 × 6 = 24 . Then she can add 5 more. 6 6 6 6 24 + 5 = 29 . 6 6 6 PTS: 1 DIF: average REF: Lesson 68: Multiply a Fraction or Mixed Number by a Whole Number OBJ: Multiply a fraction by a whole number to solve a problem. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. KEY: mixed number NOT: Number and Operations - Fractions 8 ID: A 21. ANS: A PTS: 1 DIF: average REF: Lesson 69: Problem Solving • Comparison Problems with Fractions OBJ: Use the strategy draw a diagram to solve comparison problems with fractions. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 22. ANS: B PTS: 1 DIF: average REF: Lesson 69: Problem Solving • Comparison Problems with Fractions OBJ: Use the strategy draw a diagram to solve comparison problems with fractions. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 9 ID: A 23. ANS: A PTS: 1 DIF: average REF: Lesson 69: Problem Solving • Comparison Problems with Fractions OBJ: Use the strategy draw a diagram to solve comparison problems with fractions. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 24. ANS: C PTS: 1 DIF: average REF: Lesson 69: Problem Solving • Comparison Problems with Fractions OBJ: Use the strategy draw a diagram to solve comparison problems with fractions. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 10 ID: A 25. ANS: No; Possible explanation: I know that 4 × 1 cup = 4 cups and 4 × 1 = 4 , or 2 2 2 cups. So Jess needs 4 + 2 or 6 cups of rice. 5 cups is not enough. PTS: 1 DIF: average REF: Lesson 69: Problem Solving • Comparison Problems with Fractions OBJ: Use the strategy draw a diagram to solve comparison problems with fractions. NAT: CC.4.NF.4c Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? TOP: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. NOT: Number and Operations - Fractions 11
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