Topic 3 Study Guide

1. Two bags with 3 marbles in each bag is the same amount as 3 bags with 2 marbles in each bag. Which property of multiplication does this represent?

A. Identity B. Zero C. Commutative D. Associative

2. Two sets of 3 bags with 5 marbles in each bag is the same amount as 3 sets of 2 bags with 5 marbles in each bag. Which property of multiplication does this represent?

A. Zero B. Identity C. Commutative D. Associative 3. What is the missing number in the number sentence?

(6 × 3) × 8 = 6 × ( × 8)

A. 3 B. 6 C. 8 D. 18

4. What is the missing number in the number sentence?

(5 × 9) × 2 = × (9 × 2)

A. 2 B. 5 C. 9 D. 18 5. What is the missing number in the number sentence?

(4 × 8) × 6 = 4 × ( 8 × )

A. 4 B. 6 C. 8 D. 32

1. A certain activity burns 203 calories in one hour. Use the Distributive Property and mental math. What is the total calories burned in 8 hours?

A. 1,624 calories B. 1,600 calories C. 1,576 calories D. 1,520 calories

2. Mrs. Barber teaches a total of 22 students. Each student writes 8 papers for her class during the year. Use the Distributive Property and mental math. What is the total number of papers that will be written for Mrs. Barber in one year?

A. 240 B. 192 C. 176 D. 160 3. A company can produce 240 items in one hour. Use the Distributive Property and mental math. How many items are made in 3 hours?

A. 640 B. 180 C. 600 D. 720

4. Max has 23 spelling words to learn for each test. He has 6 spelling tests each semester. Use the Distributive Property and mental math. What is the total number of spelling words Max must learn a semester? A. 30 B. 138 C. 123 D. 300 5. Camilla works 41 hours in July. How many minutes did Camilla work in July?

A. 41 minutes B. 101 minutes C. 2,400 minutes D. 2,460 minute

1. A playhouse is putting on a production of Show Boat. The following table shows the number of sections of seats they have, the number of seats in each section, and the price for each seat. The producers need to know how much money they would make if they sold a ticket for each seat in the playhouse. Which is the most reasonable estimate? PLAYHOUSE SEATING Sections 2 Seats per Section 57 Price per Seat $47

A. $60,000 B. $6,000 C. $1,060 D. $600

2. A theater has 58 rows with 26 seats in each row. Mitchell estimated the number of seats in the theater by using this mathematical sentence, 60 × 30 = 1,800. Is this estimate greater or less than the actual number of seats? What is the total number of seats in the auditorium?

A. Greater; 1,508 B. Less; 1,508 C. Less; 1,908 D. Greater; 1,708 3. Each day a bicycle company has 10 people put 48 bicycles together. The company needs to know how many bicycles they would put together over a period of 47 days. Which is the most reasonable estimate?

A. 250,000 B. 25,000 C. 2,500 D. 1,050

4. We Love Your Hair employs 3 haircutters. If each haircutter cuts 58 people’s hair in one week, and each haircut costs $12, what is the best estimate of the total amount taken in that week? A. $600 B. $1,800 C. $3,600 D. $2,400 5. A cafe serves 9 types of drinks. Suppose 21 people buy each type of drink every day. The owner would like to know how many drinks in total are served in 62 days. Which is the most reasonable estimate?

A. 1,200 B. 90 C. 600 D. 12,000

1. Which of the following is equal to 2 7?

A. 2 × 7 B. 7 × 7 C. 2 × 2 × 2 × 2 × 2 D. 2 × 2 × 2 × 2 × 2 × 2 × 2

2. Which of the following is equal to 5 3?

A. 5 × 3 B. 5 × 5 C. 5 × 5 × 5 D. 3 × 3 × 3 × 3 × 3

3. The area of a square with sides 8 centimeters long is 8 square centimeters. Which of the following is equal to 8 2?

A. 16 B. 64 C. 32 D. 256 4. Which of the following is equal to 2 4?

A. 4 2 B. 3 4 C. 8 2 D. 4 4 5. Keila told 3 friends she wanted to have a skating party on Friday. She told each of the friends to invite 3 other friends. Each of these other friends were also told to invite 3 friends. If each friend invites 3 people to the party, 3 3friends will be invited. Which of the following is equal to 3 3?

A. 6 B. 9 C. 18 D. 27

1. If Jose bikes an average of 21 miles per week for 5 weeks, he will bike 21 × 5 miles. Which of the following is equal to 21 × 5?

A. (20 × 5) – (1 × 5) B. (20 × 5) + (1 × 5) C. (20 + 5) – (1 + 5) D. (20 + 5) × (1 + 5)

2. If Carol runs an average of 32 miles a month for 9 months, she will run 32 × 9 miles. Which of the following is equal to 32 × 9?

A. (30 × 9) + (2 × 9) B. (30 + 9) × (2 + 9) C. (30 × 9) – (2 × 9) D. (30 + 9) – (2 + 9)

3. What value of pmakes the equation true? 48 × 131 = (48 × 100) + (48 × p)

A. 30 B. 1 C. 31 D. 48

4. What value of mmakes the equation true? 23 × 158 = (23 × 100) + (23 × m)

A. 23 B. 50 C. 8 D. 58

5. What value of qmakes the equation true? 30 × 589 = (30 × 500) + (30 × q)

A. 589 B. 89 C. 80 D. 9 1. A train has 9 cars. If each car holds 45 people, what is the total number of people the train can hold?

A. 305 people B. 405 people C. 505 people D. 605 people

2. A bookstore ordered 5 crates of books. If each crate holds 336 books, what is the total number of books in the shipment?

A. 2,000 B. 1,787 C. 1,720 D. 1,680

3. A ride at an amusement park has 8 cars. If each car holds 12 people, what is the total number of people the ride can hold?

A. 90 B. 96 C. 98 D. 102 4. A sporting goods store ordered 4 crates of baseballs. If each crate holds 144 baseballs, what is the total number of baseballs in the shipment?

A. 166 B. 432 C. 466 D. 576

5. The speed limit on a highway is 65 miles per hour. At this speed, how many miles would a car travel in 3 hours?

A. 195 B. 33 C. 95 D. 185

1. There are 24 packs of paper in a box. The school ordered 45 boxes. How many packs of paper were ordered in all?

A. 880 packs of paper B. 1,800 packs of paper C. 1,008 packs of paper D. 1,080 packs of paper

2. Kirsten walks 32 miles each week. She walks 50 weeks a year. How far does Kirsten walk in a year? A. 1,000 miles B. 1,060 miles C. 1,600 miles D. 1,800 miles

3. Mr. Sanchez bakes 22 loaves of bread in an hour. He bakes bread for 35 hours each week. How many loaves of bread does Mr. Sanchez bake in a week? A. 670 loaves B. 660 loaves C. 780 loaves D. 770 loaves

4. Barbara can type 52 words per minute. At that rate, how many words can she type in 25 minutes?

A. 1,400 words B. 1,300 words C. 1,100 words D. 1,000 words

5. Lynne can paint 31 mugs in a day. At that rate, how many mugs can she make in 35 days?

A. 1,805 mugs B. 1,085 mugs C. 1,175 mugs D. 1,065 mugs

1. The school band has 115 members. They are raising money for band camp. If each member raises $75, what is the total amount of money raised for band camp?

A. $8,625 B. $8,605 C. $8,305 D. $7,750 2. An amusement park roller coaster has a ride capacity of 1,225 people per hour. If the ride operates for one month (360 hours), how many people can ride the roller coaster?

A. 11,025 people B. 110,250 people C. 405,000 people D. 441,000 people

3. In a forest-planting project, 450 oak trees are planted on one acre of land. If there are 125 acres planted with oak trees, how many trees will have been planted?

A. 3,600 trees B. 56,250 trees C. 45,050 trees D. 55,150 trees

4. A hummingbird’s wings beat about 65 times per second. How many times do the hummingbird’s wings beat in 180 seconds?

A. 11,700 times B. 11,300 times C. 10,850 times D. 12,350 times 5. A machine can package 246 cases of juice in one hour. How many cases of juice can the machine package in a week (168 hours)?

A. 39,588 cases B. 15,574 cases C. 41,328 cases D. 41,116 cases 1. Taryn feeds her horse 3 carrots each day. Which equation can be used to find t, the number of carrots her horse will eat in 5 days?

A. 3 × t= 15 B. 15 × t= 3 C. 15 ÷ 3 = t D. 3 × 5 = t

2. Susan collects 4 seashells each day at the beach. Which equation can be used to find s, the number of seashells Susan will collect in 6 days at the beach?

A. 4 × s= 6 B. 4 ÷ s= 6 C. 6 ÷ 4 = s D. 4 × 6 = s 3. William brought 32 apples to distribute to the 8 animals in the petting zoo. Which of the following equations can be used to find c, the number of apples each animal in the petting zoo will receive?

A. 8 × 32 = c B. c× 32 = 8 C. 32 ÷ 8 = c D. 8 ÷ 32 = c

4. Gerald threw 80 pitches in the last 5 days of baseball practice. Which equation can be used to find p, the number of pitches per day that Gerald threw? A. 80 × p= 5 B. 5 × 80 = p C. 80 ÷ 5 = p D. 5 ÷ 80 = p 5. Renee bought 45 beads to make 5 bracelets for her friends. Which equation can be used to find p, the number of beads that each bracelet will contain?

A. 45 ÷ 5 = p B. 5 × 45 = p C. 5 ÷ 45 = p D. 45 × p= 5