Deck 4: Understanding Multiplication and Division

Question 1

Find the product of 6,062 and 475,354. ​

A) 2,871,595,948
B) 2,881,595,948
C) 2,871,596,248
D) 2,880,596,248
E) 2,881,596,248

Answer 1

2,881,595,948

Question 2

Multiply: ​ 5298 × 72 ¯¯¯¯

A) 371,456
B) 328,476
C) 381,456
D) 376,158
E) 381,384

Answer 2

381,456

Question 3

John takes his house number 159 and doubles it, adds 6 , multiplies by 50, adds his age 12 , and subtracts 300 . What does he get? ​

A) 12,159
B) 15,972
C) 15,912
D) 159,120
E) 7,962

Answer 3

15,912

Question 4

Multiply: ​ 3,525 × 28 ¯¯¯¯¯¯¯ ​

A) 137,475
B) 63,450
C) 63,468
D) 95,175
E) 98,700

Question 5

Multiply: ​ 187 × 111 ¯¯¯¯¯¯

A) 21,978
B) 21,757
C) 20,757
D) 10,757
E) 19,747

Question 6

What is 5597 times 45?

A) 251,415
B) 251,860
C) 195,545
D) 252,310
E) 251,865

Question 7

What is the smallest 4 -digit number that has exactly three factors? ​

A) 1,296
B) 1,521
C) 1,444
D) 1,369
E) 1,600

Question 8

Multiply: ​ 2199 × 302 ¯¯¯¯¯¯¯

A) 654,098
B) 673,098
C) 653,098
D) 663,098
E) 664,098

Question 9

Find the quotient of 479 and 32 . ​

A) 31 r 15
B) 15 r 30
C) 14 r 30
D) 15 r 31
E) 14 r 31

Question 10

Multiply: ​ 710 × 15 ¯¯¯¯¯¯

A) 10,650
B) 3,550
C) 9,940
D) 12,150
E) 9,650

Question 11

Which of the following statements is true? ​
I. The sum of 14 consecutive numbers is divisible by 14.
II. The sum of 16 consecutive numbers is divisible by 16.
III. The sum of 18 consecutive numbers is divisible by 18.
IV. The sum of 10 consecutive numbers is divisible by 10.
V. The sum of 9 consecutive numbers is divisible by 9. ​

A) V
B) I
C) III
D) IV
E) II

Question 12

Place the digits 1, 2, 3, 4 , and 9 in the boxes below to obtain the least product. ​ ​

A) 4,386
B) 3,237
C) 4,836
D) 3,328
E) 3,886

Question 13

Find the product of 3, 29, and 81.

A) 7037
B) 7050
C) 7047
D) 7076
E) 7038

Question 14

Multiply: ​ 65 × 51 ¯¯¯¯

A) 3335
B) 14
C) 3415
D) 116
E) 3315

Question 15

Multiply: ​ 784 × 357 ¯¯¯¯¯¯

A) 240,618
B) 276,318
C) 244,188
D) 279,888
E) 287,361

Question 16

What is 823 multiplied by 293?

A) 241,039
B) 240,116
C) 241,139
D) 241,116
E) 241,016

Question 17

Find the number that has the following pattern: If you put a 6 after it, the number is three times as large as it would be if you had added 600,000. ​

A) 342,856
B) 257,142
C) 267,142
D) 247,142
E) 299,999

Question 18

Multiply: ​ 554 × 200 ¯¯¯¯¯¯

A) 110,800
B) 11,070
C) 110,700
D) 1,107,000
E) 110,600

Question 19

What is 5151 divided by 8? ​

A) 653 r6.
B) 653 r5.
C) 643 r5.
D) 643 r6.
E) 643 r7.

Question 20

People at the copy center at Keene State College told me that they used 1000 reams (one ream is 500 sheets) of paper last semester at my college. Departments are charged 4 ¢ per copy when they use the copy center. If departments use their own copy machines, which they do for small jobs, they are charged 5 ¢ per copy. How much did the college save by having a copy center? ​

A) $ 50,000.0
B) $ 20,000.0
C) $ 5,000.0
D) $ 25,000.0
E) $ 200,000.0

Question 21

Find a and b such that and . ​

A) a = 56 ; b = 14
B) a = 56 ; b = 15
C) a = 14 ; b = 56
D) a = 14 ; b = 14
E) a = 42 ; b = 14

Question 22

Find the smallest natural number that is divisible by the first 12 natural numbers. ​

A) 27,720
B) 27,730
C) 27,719
D) 27,715
E) 27,726

Question 23

Find a number that when divided by 3 gives a remainder of 0 , when divided by 5 gives a remainder of 2 , and when divided by 7 gives a remainder of 2 . ​

A) 77
B) 72
C) 67
D) 75
E) 65

Question 24

Find the missing digits. ​ 18 ⋅ ( _ _4 + 29_ ) = 19,080 ​ ​

A) 18 ⋅ ( 764 + 295 ) = 19,080
B) 18 ⋅ ( 764 + 296 ) = 19,080
C) 18 ⋅ ( 774 + 296 ) = 19,080
D) 18 ⋅ ( 754 + 296 ) = 19,080
E) 18 ⋅ ( 814 + 295 ) = 19,080

Question 25

An organization with 297 people will be divided into smaller committees. What are the possible committee sizes if every committee must be the same size? ​

A) 3 , 9 , 11 , 27 , 33 , 99
B) 3 , 9 , 11 , 27 , 33 , 99 , 297
C) 1, 3 , 9 , 11 , 297
D) 1, 3 , 9 , 11 , 33 , 99 , 297
E) 1, 3 , 9 , 11 , 27 , 33 , 99 , 297

Question 26

Determine whether the number is prime or composite. ​ 139 ​

A) prime
B) composite

Question 27

If 6 divides m, what else must divide m? ​

A) 2
B) 2 and 3
C) 3
D) 3.
E) 3 and 4

Question 28

What is 1,218 divided by 5 ? Round to the nearest ten. ​

A) 250
B) 270
C) 230
D) 260
E) 240

Question 29

Divide: . ​

A) 0 r24
B) 0 r26
C) 10 r26
D) 10 r24
E) 10 r25

Question 30

There are 384 students in the school and 16 homerooms. Can each homeroom have the same number of students? If yes, then how many students will be in each homeroom? ​

A) yes, 24 students
B) yes, 19 students
C) yes, 25 students
D) yes, 29 students
E) no

Question 31

To determine whether 719 is a prime number, it suffices to check that no prime number less than ___ is a factor of it. ​

A) 28
B) 32
C) 29
D) 27
E) 37

Question 32

What is the remainder when 3¹³ is divided by 5? ​

A) 4
B) 6
C) 3
D) 5
E) 2

Question 33

Determine whether the number is prime or composite. ​ 165 ​

A) prime
B) composite

Question 34

Four children want to share 196 jelly beans. How many does each get? ​

A) 49
B) 25
C) 98
D) 33
E) 147

Question 35

In order to make the most accurate calendar, the following system was devised. Leap years occur every 4 years (for years that are a multiple of 4) except for years ending in 00, for example, 2000. Which of the following years is a leap year? ​ 1898 , 1967 , 1858 , 1872 , 1400 ​

A) 1872
B) 1858
C) 1400
D) 1898
E) 1967

Question 36

Ramon, a high school football player, gained 176 yards on 23 carries in a high school football game. Find the average number of yards gained per carry. Round to the nearest hundredth. ​

A) 7.54 yards
B) 7.64 yards
C) 8.65 yards
D) 8.74 yards
E) 7.65 yards

Question 37

What is the smallest composite number that is divisible by no prime less than or equal to 19? ​

A) 674
B) 361
C) 667
D) 657
E) 399

Question 38

Determine possible whole numbers a , b , and c for which the statement is true.

A)
B)
C)
D)
E)

Question 39

Find the quotient of 740 and 6 . ​

A) 122 r 3
B) 124 r 2
C) 123 r 2
D) 123 r 3
E) 122 r 2

Question 40

Which of the following statements is true? ​
I. The product of 3 consecutive numbers is divisible by 23 .
II. The product of 11 consecutive numbers is divisible by 22 .
III. The product of 7 consecutive numbers is divisible by 29 .
IV. The product of 5 consecutive numbers is divisible by 37 .
V. The product of 10 consecutive numbers is divisible by 11 . ​

A) IV
B) V
C) III
D) II
E) I

Question 41

Simplify the following: ​ 10 - ( 9 - 18 )/ 3 ​

A) -3
B) -5
C) 19
D) -11
E) 13

Question 42

Without doing any computations, order the following from least to greatest. ​ ​

A)
B)
C)
D)
E)

Question 43

The Inverness Investor Group bought acres of land for $51,200. What was the cost of each acre? ​

A) $546,133
B) $51,200
C) $5120
D) $588,800
E) $4800

Question 44

A car used gallons of gasoline on a 568-mile trip. How many miles can the car travel on 1 gallon of gasoline? ​

A) 29 miles
B) 1 mile
C) 37 miles
D) 113 miles
E) 40 miles

Question 45

Divide: . ​

A) 11 r104
B) 11 r103
C) 12 r103
D) 11 r3
E) 12 r3

Question 46

A family budgets of its monthly income of $2250 per month for housing and utilities. What amount is budgeted for housing and utilities? ​

A) $250
B) $750
C) $1500
D) $1000
E) $2000

Question 47

Bay Area Rental Cars charges $ 17 a day and $ 0.13 per mile for renting a car. You rented a car for 4 days and drove 433 miles. Find the total cost of renting the car. ​

A) $ 135.39
B) $ 73.16
C) $ 125.39
D) $ 73.29
E) $ 124.29

Question 48

A computer company has 6,837 copies of a hot-selling program and wants to ship the same number to each of its 21 distributors. Approximately how many programs does each distributor get? ​

A) 228
B) 684
C) 42
D) 326
E) 21

Question 49

Salmon costs $3 per pound. Find the cost of pounds of salmon. ​

A) $17.00
B) $14.00
C) $17.67
D) $16.00
E) $16.67

Question 50

Multiply: ​ ​

A)
B)
C)
D)
E)

Question 51

Betty is stacking boxes at a factory. Each box is inches high. The ceiling is 14 feet. How many boxes can she stack in one pile? ​

A) 10
B) 11
C) 12
D) 17
E) 13

Question 52

Divide: . ​

A) 5055 r3
B) 4953 r1
C) 4955 r3
D) 5055 r1
E) 5053 r1

Question 53

Sunflower seeds are sold in packages that weigh ounces. If there is a supply of 315 ounces of sunflower seeds, how many packages of seed can be made? ​

A) 30
B) 61
C) 63
D) 55
E) 60

Question 54

The length of the tropical year is 365.24220 days, as compared to the length of 365.2425 days used by the Gregorian calendar. About how many years will it take for this difference to amount to 5 days? Round to the nearest year. ​

A) 225 years
B) 1,667 years
C) 39,370 years
D) 714 years
E) 16,667 years

Question 55

The perimeter of a square is equal to 4 times the length of a side of the square. Find the perimeter of a square whose side measures inches. ​

A) inches
B) inches
C) inches
D) inches
E) inches

Question 56

Divide: . ​

A) 206 r12
B) 206 r11
C) 196 r12
D) 209 r1
E) 209 r0

Question 57

Pete has just made a batch of marshmallow treats. The baking pan measures 13 inches by 10 inches. He has decided that each treat will be inches by 1 inch. Determine how many treats can he get from one pan. Round your answer to the nearest integer. ​

A) 90
B) 83
C) 82
D) 87
E) 97

Question 58

Individual cereal boxes contain ounce of cereal. How many boxes can be filled with 1239 ounces of cereal? ​

A) ​
B) ​
C) 1084 ​
D) ​
E) 1416 ​

Question 59

Let's say the cost of gasoline just went up by 5 ¢ per gallon. If the average citizen buys 27 gallons of gas per week, how much more will the average citizen pay per week for gasoline? ​

A) $ 5.40
B) $ 1.35
C) $ 13.50
D) $ 67.50
E) $ 0.54

Question 60

The area of a rectangle is equal to the length of the rectangle times its width. Find the area of a rectangle that has a length of miles and a width of miles. The area will be in square miles. ​

A) sq mi
B) sq mi
C) sq mi
D) sq mi
E) sq mi

Question 61

Anne is building bookcases that are 2.5 feet long. How many complete shelves can be cut from a 6 -foot board? ​

A) 2
B) 0
C) 4
D) 24
E) 3

Question 62

The formula for converting from Fahrenheit to Celsius is given by . If the temperature outside is 96 Fahrenheit, what would the temperature be in Celsius? Round your answer to the nearest degree Celsius. ​

A) 50 ° Celsius
B) 36 ° Celsius
C) 41 ° Celsius
D) 7 ° Celsius
E) 64 ° Celsius

Question 63

Earl is 50 years old and is buying $ 70,000 of life insurance for an annual premium of $ 739.05 . If he pays each annual premium in 12 equal installments, how much is each monthly payment? Round your answer to the nearest cent. ​

A) $ 61.48
B) $ 61.58
C) $ 61.59
D) $ 5834.43
E) $ 5833.33

Question 64

A case of diet cola costs $ 7.25 . If there are 24 cans in a case, find the cost per can. Round to the nearest cent. ​

A) $ 1.40
B) $ 0.30
C) $ 0.50
D) $ 0.40
E) $ 1.30

Question 65

Divide: ​ ​

A) 90
B) 92
C) 103
D) 112
E) 93

Question 66

What is 0.26544 divided by 0.84? ​

A) 0.327
B) 0.417
C) 0.306
D) 0.307
E) 0.316

Question 67

Simplify the following: ​ ​

A) -5
B) 11
C) -13
D) -1
E) 19

Question 68

Divide: ​ ​

A) 76.6
B) 96.6
C) 86.6
D) 77.6
E) 87.6

Question 69

The daily low temperatures during one week were recorded as follows: 8 ° F , -1 ° F , 12 ° F , 3 ° F , -8 ° F , -10 ° F , -4 ° F . Find the average daily low temperature for the week. ​

A) 32 °F
B) 0 ° F
C) 11 ° F
D) -3 ° F
E) -24 ° F