8, 2 8, 3 8, 4 8, 5 8 D. 1, 2, 3, 4, 5 2. Look at the number line. What fraction goes directly below the whole number 2?
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1 Name: Class: Date: ID: A Chapter Practice Test 1. Aaron made a list of some multiples of 1. Which could be Aaron s list? A. 1, 1 16, 1 24, 1 32, 1 40 B. 1, 2 9, 3 10, 4 11, 5 12 C. 1, 2, 3, 4, 5 D. 1, 2, 3, 4, 5 2. Look at the number line. What fraction goes directly below the whole number 2? A. B. C. D
2 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? A. 9 B. C. 5 D = A recipe for one dozen bran muffins needs 1 3 cup of raisins. How many dozen bran muffins can be made with 2 cups of raisins? A. 2 B. 4 C. 6 D. 5. Write the fraction 5 as a product of a whole number and a unit fraction. Explain how that product is equivalent to 5. 2
3 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. B. C. D
4 Name: ID: A 7. Gwen listed the multiples of Which is not a multiple of 3 10? A. B. C. D Oleg drew a number line to help him multiply Which shows fraction? written as the product of a whole number and a unit A B C. 1 5 D
5 Name: ID: A 9. Alma is making 3 batches of tortillas. She needs to add 3 4 cup water to each batch. Her measuring cup holds 1 4 cup. How many times must Alma measure 1 4 cup of water to have enough for all the tortillas? A. 4 B. 6 C. D Explain how to write the first three multiples of 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. B. C. D cups 11 4 cups 10 4 cups 4 cups 5
6 Name: ID: A 12. Jason writes repeated addition to show 4 2. Which shows an expression 3 Jason could use? A B. C. D Mr. Tuyen uses 5 of a tank of gas each week to drive to and from work. How many tanks of gas does Mr. Tuyen use in 5 weeks? A. B. C. D
7 Name: ID: A 14. Mark bought 3 packages of grapes. Each package weighed 7 many pounds of grapes did Mark buy? pound. How A. B. 10 pounds 21 pounds C. 10 pounds D. 21 pounds 15. Mickey exercises for 3 4 in days? hour every day. How many hours does he exercise A. 4 hours B. C. D hours 24 4 hours 26 4 hours 7
8 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 B C D 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 hours B hours C. 9 hours D. 10 hours
9 Name: ID: A 1. 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 hours B. 4 hours C hours D hours 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 teaspoons B teaspoons C. teaspoons D. 1 2 teaspoons 20. Amanda is building a fence. She needs a pole to measure feet from the ground. Explain how she can write 4 5 as a fraction. 6 9
10 Name: ID: A 21. Rudi is comparing shark lengths. He read that a sandbar shark is feet long. A thresher shark is 3 times as long as that. How long is a thresher shark? A feet B. 12 feet C feet D. 7 feet 22. Cyndi made macaroni salad. She used 1 1 cups of mayonnaise. She used 9 times as much macaroni. How many cups of macaroni did Cyndi use? A cups B cups C. 1 cups D. 1 cups 10
11 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 hours B. 4 hours C hours D hours 24. Paz weighed 5 5 pounds when she was born. By age 2, she weighed 4 times as much. If p stands for pounds, which equation could you use to find Paz s weight at age 2? A. p = B. p = ( 4 5)+ 5 C. p = Ê D. p = 4 5 ˆ Ë Á 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
12 ID: A Chapter 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 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). KEY: multiple unit fraction 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 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). KEY: multiple unit fraction 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 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). KEY: multiple unit fraction 1
13 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 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). KEY: multiple unit fraction 5. ANS: 5 1 ; Possible explanation: all unit fractions have 1 as the numerator. The unit fraction is 1. Multiplication is repeated addition is the same as 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 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). KEY: multiple unit fraction 2
14 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 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.) 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 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.). 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 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.) 3
15 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 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.) 10. ANS: Possible explanation: multiply the fraction by the counting numbers = 4 9 ; is , which is 9 ; is , which is The first 3 multiples are 4 9, 9,12 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 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.) 4
16 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 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.) 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 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.) 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 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.) 5
17 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 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.) 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 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.) 16. ANS: A PTS: 1 DIF: average REF: Lesson 6: 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/ 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? KEY: mixed number 6
18 ID: A 17. ANS: B PTS: 1 DIF: average REF: Lesson 6: 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/ 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? KEY: mixed number 1. ANS: C PTS: 1 DIF: average REF: Lesson 6: 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/ 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? KEY: mixed number 7
19 ID: A 19. ANS: B PTS: 1 DIF: average REF: Lesson 6: 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/ 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? KEY: mixed number 20. ANS: Possible explanation: she needs to write a fraction with a denominator of 6. Each whole = 6 6. So 4 wholes = = Then she can add 5 6 more = PTS: 1 DIF: average REF: Lesson 6: 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/ 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? KEY: mixed number
20 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/ 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? 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/ 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? 9
21 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/ 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? 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/ 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? 10
22 ID: A 25. ANS: No; Possible explanation: I know that 4 1 cup = 4 cups and = 4 2, or 2 cups. So Jess needs 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/ 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? 11
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