Deck 5: The Real Number System

Question 1

Find all the factors of 189.

Answer 1

1, 3, 7, 9, 21, 27, 63, 189

Question 2

Find the first five multiples of 6.

Answer 2

6, 12, 18, 24, 30

Question 3

Find all the factors of 67.

Answer 3

1, 67

Question 4

Find the least common multiple of 4 and 20.

A)2
B)20
C)80
D)4

Question 5

Find the first five multiples of 6.

Question 6

Which number is a prime number?

A)17
B)27
C)21
D)18

Question 7

Find a prime factorization of 31.

Question 8

The number 31 is ____________ .

A)neither prime nor composite
B)composite
C)prime

Question 9

Find the greatest common factor of 14 and 21.

A)7
B)6
C)1
D)42

Question 10

Find the first five multiples of 30.

Question 11

A bakery makes three types of muffins to be distributed to local grocery stores: chocolate chip,
Blueberry, and banana nut. Each morning, the bakers produce 120 chocolate chip muffins, 80
Blueberry muffins, and 80 banana nut. They want to package the muffins efficiently for shipping.
The plan is to pack them in boxes so that every box has just one kind of muffin, and every box has
The same number of muffins. What's the smallest number of boxes they can ship in total?

A)280 boxes
B)2 boxes
C)40 boxes
D)7 boxes

Question 12

Find all the factors of 37.

Question 13

Find the greatest common factor of 36 and 49.

A)1
B)1,764
C)36
D)49

Question 14

Find a prime factorization of 901.

Question 15

Find all the factors of 45.

Question 16

Find the prime factorization of 24.

Question 17

Find a prime factorization of 5,929.

Question 18

Find the greatest common factor of 6, 18, and 30.

Question 19

Which number is a composite number?

A)23
B)36
C)13
D)7

Question 20

Find the greatest common factor of 14, 21, and 28.

Question 21

Fill in the blank with make a true statement.

A)
B)

Question 22

Find the least common multiple of 76 and 114.

Question 23

Linda and Deepti are walking and jogging on a circular trail. Linda can complete one circuit in 30
Minutes, and Deepti can complete the circuit in 42 minutes. If they both start at the same place at
The same time, when will they be at the starting place at the same time?

A)210 minutes
B)1,260 minutes
C)30 minutes
D)6 minutes

Question 24

Find the least common multiple of 18, 28, and 48.

A)2
B)24,192
C)1,008
D)42

Question 25

Determine the absolute value.

A)8
B)-8

Question 26

Find the opposite of -8.

Question 27

Which is greater, ?

A)
B)Neither, they are equal.
C)15

Question 28

List the numbers from the following set which are integers.

Question 29

Find the least common multiple of 5, 19, and 67.

A)95
B)6,365
C)1,273
D)335

Question 30

Fill in the blank with make a true statement.

A)
B)

Question 31

Find the opposite. -7

A)7
B)
C)- 7
D)-7

Question 32

Find the opposite. 31

A)-31
B)31
C)
D)

Question 33

Determine the absolute value.

A)-25,000
B)25,000

Question 34

List the numbers from the following set which are whole numbers.

Question 35

Evaluate.

Question 36

Add. -1 + (-6)+ (-3)

A)10
B)8
C)-8
D)-10

Question 37

Add. (-4)+ (-2)

A)-6
B)-2
C)2
D)6

Question 38

Which is greater, ?

A)
B)Neither, they are equal.
C)-3

Question 39

Insert

Question 40

Find the least common multiple of 11 and 33.

A)363
B)1
C)11
D)33

Question 41

Perform the indicated operations. -120 ÷ 5 + 3

A)21
B)-21
C)15
D)-15

Question 42

Divide. 48 ÷ 6

Question 43

Convert the improper fraction to a mixed number.

Question 44

Subtract. 15 - (-13)

A)28
B)-2
C)2
D)-28

Question 45

Perform the indicated operations. -5[5 + (-17)- (-1)]

A)65
B)55
C)-43
D)-41

Question 46

Convert the mixed number to an improper fraction. 1

Question 47

Perform the indicated operations.

Question 48

Convert the improper fraction to a mixed number.

A)
B)
C)
D)

Question 49

Perform the indicated operations. (82 - 60)+ [(-3 × 4)- 36 ÷ 4]

A)10
B)25
C)19
D)1

Question 50

Convert the mixed number to an improper fraction.

A)
B)
C)
D)

Question 51

Multiply. (-11)(-7)

Question 52

A large grocery store had 362 cases of canned vegetables in the storeroom. During the past month
The store removed 67 cases, 75 cases, 71 cases, and 84 cases among 362 cases from the shelves.
Also the store received two lots of 90 cases each. How many cases are in the storeroom now?

A)479 cases
B)569 cases
C)155 cases
D)245 cases

Question 53

Multiply and reduce the answer to lowest terms.

Question 54

A new company makes a profit of $27,480 in the first year. The owner wants to keep $10,000 of that
For herself, then divide the remainder among two salespeople and three associates. Write an order of
Operations problem based on this situation. How much will each salesperson and associate get?

A)(27,480 - 10,000)÷ 2 + 3; $8,743
B)27,480 - 10,000 ÷ 2 + 3; $22,483
C)(27,480 - 10,000)÷ (2 + 3); $3,496
D)27,480 - 10,000 ÷ (2 + 3); $25,480

Question 55

Reduce the fraction to lowest terms.

Question 56

Reduce the fraction to the lowest terms.

A)
B)
C)
D)

Question 57

A food bank sends a truck with 400 pounds of food to each of five local food pantries every week,
And receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000
Pounds of food on hand at the beginning of July, how much will it have six weeks later?

A)20,600 pounds
B)4,200 pounds
C)10,600 pounds
D)20,200 pounds

Question 58

The 30-year average snowfall in Coldsville, USA is approximately 16 inches per year. As of
January 10, Coldsville received approximately 6 inches. How much more snow will Coldsville
Receive if this is an average year?

A)10 inches
B)22 inches
C)24 inches
D)14 inches

Question 59

List the numbers from the following set which are rational numbers.

Question 60

Divide. -55 ÷ (-55)

A)0
B)-55
C)1
D)-1

Question 61

Change the decimal to a reduced fraction. 0.48

A)
B)
C)
D)

Question 62

List the numbers from the following set which are irrational numbers.

Question 63

Perform the indicated operations and reduce the answer to lowest terms.

A)
B)
C)
D)

Question 64

Change the decimal to a reduced fraction.

A)
B)
C)
D)

Question 65

Change the decimal to a reduced fraction. 0.115

Question 66

Change the fraction to a decimal.

Question 67

Subtract and reduce the answer to lowest terms.

Question 68

Change the fraction to an equivalent fraction with the given denominator.

A)
B)
C)
D)

Question 69

Which number is irrational?

A)
B)
C)
D)0.454545...

Question 70

Change the fraction to an equivalent fraction with the given denominator.

Question 71

A company uses of its budget for advertising. Of that, is spent on television advertisement.
What part of its budget is spent on television advertisement?

A)
B)
C)
D)

Question 72

Divide and reduce the answer to lowest terms.

Question 73

Change the fraction to a decimal.

A)
B)
C)
D)

Question 74

Change the fraction to a decimal.

A)
B)
C)
D)

Question 75

Add and reduce the answer to lowest terms.

Question 76

Change the decimal to a reduced fraction.

A)
B)
C)

Question 77

Simplify the radical.

A)
B)
C)21
D)

Question 78

Is the number rational or irrational?

A)rational
B)irrational

Question 79

Change the fraction to a decimal.

Question 80

In a recent election of all votes cast were for Candidate A and 1 were for Candidate B.
What fraction of ballots were cast for someone other than Candidate A or Candidate B?

A)
B)
C)
D)