Question 1

Find the greatest common factor (GCF) of the numbers 8, 36. ​

Accepted Answer

A)  72 
B)  4 
C)  1 
D)  288 
E)  8 
A)  72 
B)  4 
C)  1 
D)  288 
E)  8

Question 2

In some dairy states, a kind of base 6 is used for shipping milk. Six cartons of milk make 1 box; 6 boxes make 1 crate, 6 crates make 1 flat, and 6 flats make 1 pallet. Thus, if someone said they had filled 4355, that would mean 4 flats, 3 crates, 5 boxes, and 5 cartons. ​ How many cartons of milk would this be in base 10? ​

Accepted Answer

A)  172 cartons 
B)  1007 cartons 
C)  1013 cartons 
D)  31,787 cartons 
E)  6042 cartons 
A)  172 cartons 
B)  1007 cartons 
C)  1013 cartons 
D)  31,787 cartons 
E)  6042 cartons

Question 3

Find all factors of the number 441. ​

Accepted Answer

A)  1, 3, 7, 9, 21, 49, 147, 441 
B)  1, 3, 7, 9, 21, 49, 63 , 441 
C)  1, 3, 7, 9, 21, 49, 63, 147, 441 
D)  1, 3, 7, 9, 21, 49, 63, 147 
E)  3, 7, 9, 21, 49, 63, 147, 441 
A)  1, 3, 7, 9, 21, 49, 147, 441 
B)  1, 3, 7, 9, 21, 49, 63 , 441 
C)  1, 3, 7, 9, 21, 49, 63, 147, 441 
D)  1, 3, 7, 9, 21, 49, 63, 147 
E)  3, 7, 9, 21, 49, 63, 147, 441

Question 4

Find the base 10 equivalent of the following numeral. ​ DCXVII ​

Accepted Answer

A)  92 
B)  113 
C)  617 
D)  126 
E)  1904 
A)  92 
B)  113 
C)  617 
D)  126 
E)  1904

Question 5

Is 1647 an even or odd number? ​

Accepted Answer

A)  odd 
B)  even 
A)  odd 
B)  even

Question 6

Place the correct symbol  between the two numbers. ​   ​

Accepted Answer

A)    
B)    ​ 
A)    
B)    ​

Question 7

NASA keeps track of time using the following system: ​ Hours:Minutes:Seconds:Hundreths of a Second ​ Thus 4:2:5:6 would mean that the program is 4 hours, 2 minutes, 5.06 seconds from launch. Let's say that a launch was temporarily stopped at 8 : 56 : 20 : 19 and then later stopped at 10 : 58 : 23 : 17 . How much time had elapsed between the two stops? ​

Accepted Answer

A)  18 hours, 2 minutes, 3.36 seconds 
B)  2 hours, 18 minutes, 3.02 seconds 
C)  2 hours, 2 minutes, 2.98 seconds 
D)  12 hours, 60 minutes, 2.98 seconds 
E)  18 hours, 60 minutes, 2.64 seconds 
A)  18 hours, 2 minutes, 3.36 seconds 
B)  2 hours, 18 minutes, 3.02 seconds 
C)  2 hours, 2 minutes, 2.98 seconds 
D)  12 hours, 60 minutes, 2.98 seconds 
E)  18 hours, 60 minutes, 2.64 seconds

Question 8

For what base x is the statement true? ​ 135 10 = 343 X ​

Accepted Answer

A)  7 
B)  4 
C)  6 
D)  13 
E)  5 
A)  7 
B)  4 
C)  6 
D)  13 
E)  5

Question 9

Place the correct symbol  between the two numbers. ​   ​

Accepted Answer

A)    
B)    ​ 
A)    
B)    ​

Question 10

What number comes after   ? ​

Accepted Answer

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

Question 11

Convert the following number into base 2. ​ 34 ​

Accepted Answer

A)  1 0 0 0 1 0 
B)  1 0 0 0 1 
C)  1 0 0 0 1 0 10 
D)  11 0 0 0 1 0 
E)  0 0 0 1 0 111 
A)  1 0 0 0 1 0 
B)  1 0 0 0 1 
C)  1 0 0 0 1 0 10 
D)  11 0 0 0 1 0 
E)  0 0 0 1 0 111

Question 12

Find the prime factorization of the number 440 . ​

Accepted Answer

A)  4 ⋅ 275 
B)  8 ⋅ 5 ⋅ 11 
C)  2 ⋅ 4 ⋅ 121 
D)  2 ⋅ 2 ⋅ 5 ⋅ 5 ⋅ 11 
E)  2 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 11 
A)  4 ⋅ 275 
B)  8 ⋅ 5 ⋅ 11 
C)  2 ⋅ 4 ⋅ 121 
D)  2 ⋅ 2 ⋅ 5 ⋅ 5 ⋅ 11 
E)  2 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 11

Question 13

What is the largest 3 digit number in base 4 ? ​

Accepted Answer

A)  12 
B)  11 
C)  16 
D)  65 
E)  63 
A)  12 
B)  11 
C)  16 
D)  65 
E)  63

Question 14

Name a fraction between   and   that has a denominator of 7 . ​

Accepted Answer

A)  ​   
B)    
C)    
D)    
E)    
A)  ​   
B)    
C)    
D)    
E)

Question 15

Find the base 10 equivalent of the following manipulative. ​   ​

Accepted Answer

A)  1517 
B)  877 
C)  436 
D)  345 
E)  187 
A)  1517 
B)  877 
C)  436 
D)  345 
E)  187

Question 16

You have from 10:00 p.m. to 11:30 p.m. to do a project. At 10:34, what fraction of the project remains? ​

Accepted Answer

A)    ​ 
B)    
C)    
D)    
E)    
A)    ​ 
B)    
C)    
D)    
E)

Question 17

Sam worked 4 days, 5 hours, and 55 minutes last week. Convert this to a decimal, that is, 4._ _ days. In this problem, one day is equal to 8 hours. Round your answer to two decimal places. ​

Accepted Answer

A)  5.54 
B)  5.31 
C)  4.25 
D)  5.77 
E)  4.74 
A)  5.54 
B)  5.31 
C)  4.25 
D)  5.77 
E)  4.74

Question 18

Translate the following base 10 number into ancient Greek notation. ​ 5550 ​

Accepted Answer

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

Question 19

How many tens are in 6500? ​

Accepted Answer

A)  65 
B)  0 
C)  650 
D)  65,000 
E)  650,000 
A)  65 
B)  0 
C)  650 
D)  65,000 
E)  650,000

Question 20

Translate the following base 10 number into ancient Chinese notation. ​ 346 ​

Accepted Answer

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

Find the greatest common factor (GCF) of the numbers 8, 36.

Find all factors of the number 441.

Find the base 10 equivalent of the following numeral. DCXVII

Is 164₇ an even or odd number?

Place the correct symbol < , or , > between the two numbers.

For what base x is the statement true? 135 ₁₀ = 343 _X

Place the correct symbol < , or , > between the two numbers.

What number comes after ?

Convert the following number into base 2. 34

Find the prime factorization of the number 440 .

What is the largest 3 digit number in base 4 ?

Name a fraction between $Name a fraction between and that has a denominator of 7 . $ and $Name a fraction between and that has a denominator of 7 . $ that has a denominator of 7 .

Find the base 10 equivalent of the following manipulative.

You have from 10:00 p.m. to 11:30 p.m. to do a project. At 10:34, what fraction of the project remains?

Sam worked 4 days, 5 hours, and 55 minutes last week. Convert this to a decimal, that is, 4._ _ days. In this problem, one day is equal to 8 hours. Round your answer to two decimal places.

Translate the following base 10 number into ancient Greek notation. 5550

How many tens are in 6500?

Translate the following base 10 number into ancient Chinese notation. 346

Foundations for Learning Mathematics

Understanding Addition and Subtraction

Understanding Multiplication and Division

Proportional Reasoning

Algebraic Thinking

Understanding Statistics and Probability

Geometry As Shape

Geometry As Measurement

Geometry As Transforming Shapes

Filters

Exam 2: The Number System

Find the greatest common factor (GCF) of the numbers 8, 36. ​

Find all factors of the number 441. ​

Find the base 10 equivalent of the following numeral. ​ DCXVII ​

Is 1647 an even or odd number? ​

Place the correct symbol < , or , > between the two numbers. ​ ​

For what base x is the statement true? ​ 135 10 = 343 X ​

Place the correct symbol < , or , > between the two numbers. ​ ​

What number comes after ? ​

Convert the following number into base 2. ​ 34 ​

Find the prime factorization of the number 440 . ​

What is the largest 3 digit number in base 4 ? ​

Name a fraction between and that has a denominator of 7 . ​

Find the base 10 equivalent of the following manipulative. ​ ​

You have from 10:00 p.m. to 11:30 p.m. to do a project. At 10:34, what fraction of the project remains? ​

Sam worked 4 days, 5 hours, and 55 minutes last week. Convert this to a decimal, that is, 4._ _ days. In this problem, one day is equal to 8 hours. Round your answer to two decimal places. ​

Translate the following base 10 number into ancient Greek notation. ​ 5550 ​

How many tens are in 6500? ​

Translate the following base 10 number into ancient Chinese notation. ​ 346 ​

Foundations for Learning Mathematics

Understanding Addition and Subtraction

Understanding Multiplication and Division

Proportional Reasoning

Algebraic Thinking

Understanding Statistics and Probability

Geometry As Shape

Geometry As Measurement

Geometry As Transforming Shapes

Filters

Find the greatest common factor (GCF) of the numbers 8, 36.

Find all factors of the number 441.

Find the base 10 equivalent of the following numeral. DCXVII

Is 164₇ an even or odd number?

Place the correct symbol < , or , > between the two numbers.

For what base x is the statement true? 135 ₁₀ = 343 _X

Place the correct symbol < , or , > between the two numbers.

What number comes after ?

Convert the following number into base 2. 34

Find the prime factorization of the number 440 .

What is the largest 3 digit number in base 4 ?

Name a fraction between $Name a fraction between and that has a denominator of 7 . $ and $Name a fraction between and that has a denominator of 7 . $ that has a denominator of 7 .

Find the base 10 equivalent of the following manipulative.

You have from 10:00 p.m. to 11:30 p.m. to do a project. At 10:34, what fraction of the project remains?

Sam worked 4 days, 5 hours, and 55 minutes last week. Convert this to a decimal, that is, 4._ _ days. In this problem, one day is equal to 8 hours. Round your answer to two decimal places.

Translate the following base 10 number into ancient Greek notation. 5550

How many tens are in 6500?

Translate the following base 10 number into ancient Chinese notation. 346