Question 1

What number comes before 4 5 0 8 ? ​

Accepted Answer

A)  3 4 8  8  
B)  4 4 9 8  
C)  4 5 7  8  
D)  4 4 7  8  
E)  4 4 8  8  
A)  3 4 8  8  
B)  4 4 9 8  
C)  4 5 7  8  
D)  4 4 7  8  
E)  4 4 8  8  D

Question 2

Let's say there are 25 students in your class. If each student gives every other student a card, how many cards are distributed? ​

Accepted Answer

A)  600 
B)  300 
C)  650 
D)  50 
E)  625 
A)  600 
B)  300 
C)  650 
D)  50 
E)  625 A

Question 3

Find the greatest common factor (GCF) of the numbers 10, 12, 36. ​

Accepted Answer

A)  1 
B)  4320 
C)  2 
D)  180 
E)  10 
A)  1 
B)  4320 
C)  2 
D)  180 
E)  10 C

Question 4

Graph the numbers on the number line. -3 and 0 ​

Accepted Answer

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

Question 5

Represent the following number in base 5 by sketching a manipulative. ​ 2405 ​

Accepted Answer

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

Question 6

Translate the following ancient Greek number into base 10. ​ Η H H Δ Δ Δ Δ Γ I I ​

Accepted Answer

A)  345 
B)  330 
C)  5550 
D)  5555 
E)  347 
A)  345 
B)  330 
C)  5550 
D)  5555 
E)  347

Question 7

Rewrite the following in standard form. ​ 8 · 105 + 4 · 104 + 9 ​ ​

Accepted Answer

A)  849,000 
B)  8,490,000 
C)  840,009 
D)  84,009 
E)  849 
A)  849,000 
B)  8,490,000 
C)  840,009 
D)  84,009 
E)  849

Question 8

What is the largest square that can be used to fill a 63 by 28 rectangle? ​

Accepted Answer

A)  14 by 14 
B)  63 by 63 
C)  7 by 7 
D)  28 by 28 
E)  5 by 5 
A)  14 by 14 
B)  63 by 63 
C)  7 by 7 
D)  28 by 28 
E)  5 by 5

Question 9

Find all factors of the number 45 . ​

Accepted Answer

A)  1, 3 , 5 , 15 , 25 , 45 
B)  1, 3 , 5 , 9 , 15 , 25 , 45 
C)  1, 3 , 5 , 9 , 15 , 45 
D)  3 , 5 , 15 , 25 , 45 
E)  3 , 5 , 9 , 15 , 25 , 45 
A)  1, 3 , 5 , 15 , 25 , 45 
B)  1, 3 , 5 , 9 , 15 , 25 , 45 
C)  1, 3 , 5 , 9 , 15 , 45 
D)  3 , 5 , 15 , 25 , 45 
E)  3 , 5 , 9 , 15 , 25 , 45

Question 10

Convert the following Roman numeral into base 10 notation. ​ DCXVII ​

Accepted Answer

A)  337 
B)  115 
C)  513 
D)  617 
E)  832 
A)  337 
B)  115 
C)  513 
D)  617 
E)  832

Question 11

Find the greatest common factor (GCF) of the numbers 18 , 72 . ​

Accepted Answer

A)  4 
B)  72 
C)  18 
D)  1296 
E)  1 
A)  4 
B)  72 
C)  18 
D)  1296 
E)  1

Question 12

Translate the following ancient Chinese numbers into base 10. ​   ​

Accepted Answer

A)  46 
B)  12,345 
C)  45 
D)  346 
E)  123 
A)  46 
B)  12,345 
C)  45 
D)  346 
E)  123

Question 13

Represent the following base 10 number in expanded form. ​ 30,505 ​

Accepted Answer

A)  3 · 10 4 + 5 · 10 3 + 5 
B)  3 · 10 4 + 5 · 10 2 + 5 
C)  3 · 10 5 + 5 · 10 2 + 5 
D)  3 · 10 4 + 5 · 10 3 + 5 · 10 2 
E)  3 · 10 3 + 5 · 10 2 + 5 · 10 
A)  3 · 10 4 + 5 · 10 3 + 5 
B)  3 · 10 4 + 5 · 10 2 + 5 
C)  3 · 10 5 + 5 · 10 2 + 5 
D)  3 · 10 4 + 5 · 10 3 + 5 · 10 2 
E)  3 · 10 3 + 5 · 10 2 + 5 · 10

Question 14

Round 95.0710 to the nearest whole number. ​

Accepted Answer

A)  91 
B)  93 
C)  95 
D)  97 
E)  92 
A)  91 
B)  93 
C)  95 
D)  97 
E)  92

Question 15

Let's say there are 31 students in your class. If each student greeted and shook hands with every other student in the class, how many handshakes would there be? ​

Accepted Answer

A)  465 
B)  310 
C)  62 
D)  93 
E)  4495 
A)  465 
B)  310 
C)  62 
D)  93 
E)  4495

Question 16

Place the correct symbol  between the two numbers. ​   ​

Accepted Answer

A)    ​ 
B)    ​ 
A)    ​ 
B)    ​

Question 17

Write the fraction in simplest form. ​   ​

Accepted Answer

A)    ​ 
B)  1 
C)  0 
D)    
E)    ​ 
A)    ​ 
B)  1 
C)  0 
D)    
E)    ​

Question 18

Find the prime factorization of the number 24. ​

Accepted Answer

A)  8·3 
B)  2·2·3·3 
C)  2·2·2·2 
D)  2·2·2·3 
E)  4·9 
A)  8·3 
B)  2·2·3·3 
C)  2·2·2·2 
D)  2·2·2·3 
E)  4·9

Question 19

Convert the following number into base 10. 7 4 1 S1U1B19S1U1B0

Accepted Answer

A)  252 
B)  100 
C)  5436 
D)  612 
E)  604 
A)  252 
B)  100 
C)  5436 
D)  612 
E)  604

Question 20

What is the largest tank you could use to measure both 72 gallons of gasoline and 45 gallons of gasoline? ​

Accepted Answer

A)  5 
B)  9 
C)  18 
D)  8 
E)  10 
A)  5 
B)  9 
C)  18 
D)  8 
E)  10

What number comes before 4 5 0₈?

Let's say there are 25 students in your class. If each student gives every other student a card, how many cards are distributed?

Find the greatest common factor (GCF) of the numbers 10, 12, 36.

Graph the numbers on the number line. -3 and 0

Represent the following number in base 5 by sketching a manipulative. 2405

Translate the following ancient Greek number into base 10. Η H H Δ Δ Δ Δ Γ I I

Rewrite the following in standard form. 8 · 10⁵ + 4 · 10⁴ + 9

What is the largest square that can be used to fill a 63 by 28 rectangle?

Find all factors of the number 45 .

Convert the following Roman numeral into base 10 notation. DCXVII

Find the greatest common factor (GCF) of the numbers 18 , 72 .

Translate the following ancient Chinese numbers into base 10.

Represent the following base 10 number in expanded form. 30,505

Round 95.0710 to the nearest whole number.

Let's say there are 31 students in your class. If each student greeted and shook hands with every other student in the class, how many handshakes would there be?

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

Write the fraction in simplest form. $Write the fraction in simplest form. $

Find the prime factorization of the number 24.

Convert the following number into base 10. 7 4 1 ₉

What is the largest tank you could use to measure both 72 gallons of gasoline and 45 gallons of gasoline?

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