Question 1

Determine the letters or numbers.
-Write the binary code for the letter p.

Accepted Answer

A) 1110000 
B) 1011100 
C) 1101100 
D) 1101000 
A) 1110000 
B) 1011100 
C) 1101100 
D) 1101000

Question 2

Identify the number represented on the abacus.
-

Accepted Answer

A)  $60.652$ 
B)  606,520 
C)  $66.520$ 
D)  $600.652$ 
A)  $60.652$ 
B)  606,520 
C)  $66.520$ 
D)  $600.652$

Question 3

Convert the number to binary form.
-$3425_ \text { eight }$

Accepted Answer

A)  $11100011110 _ { \text {two } }$ 
B)  $11100010111 _ { \text {two } }$ 
C)  $11100011010 _ { \text {two } }$ 
D)  $11100010101 _ { \text {two } }$ 
A)  $11100011110 _ { \text {two } }$ 
B)  $11100010111 _ { \text {two } }$ 
C)  $11100011010 _ { \text {two } }$ 
D)  $11100010101 _ { \text {two } }$

Question 4

Perform the operation in expanded notation. Write your answer in simplified form.
-940 - 771

Accepted Answer

A) 169 
B) 189 
C) 9569 
D) 179 
A) 169 
B) 189 
C) 9569 
D) 179

Question 5

Find the sum or product using the requested clock system.
-3 ·18 in 7-day clock arithmetic

Accepted Answer

A) 6 
B) 0 
C) 9 
D) 5 
A) 6 
B) 0 
C) 9 
D) 5

Question 6

Convert the Roman numeral to Hindu-Arabic form
-CLXXXV

Accepted Answer

A) 105 
B) 1085 
C) 185 
D) 85 
A) 105 
B) 1085 
C) 185 
D) 85

Question 7

Convert the Egyptian numeral to Hindu-Arabic form.
-

Accepted Answer

A) $8,314,758$ 
B) $11,014,713$ 
C) $835,714$ 
D) $834,758$ 
A) $8,314,758$ 
B) $11,014,713$ 
C) $835,714$ 
D) $834,758$

Question 8

Find the modular residue of the product.
-6,734,947 ·6,868,419 (mod 7)

Accepted Answer

A) 1 
B) 3 
C) 6 
D) 0 
A) 1 
B) 3 
C) 6 
D) 0

Question 9

Solve the problem using the Egyptian algorithm for multiplication. Give final answer in Hindu-Arabic form.
-16 × 50

Accepted Answer

A) 736 
B) 832 
C) 800 
D) 784 
A) 736 
B) 832 
C) 800 
D) 784

Question 10

Determine for base four the smallest and largest four-digit numbers and their decimal equivalents.

Accepted Answer

A)  $1111 _ { \text {four } } = 85,3333$ _four $= 255$ 
B)  $0000_{\text {four }}=0, \quad 4444_{\text {four }}=340$ 
C)  $1111_{\text {four }}=85,4444_{\text {four }}=340$ 
D)  $1000 _\text { four }=64, \quad 3333_{\text {four }}=255$ 
A)  $1111 _ { \text {four } } = 85,3333$ _four $= 255$ 
B)  $0000_{\text {four }}=0, \quad 4444_{\text {four }}=340$ 
C)  $1111_{\text {four }}=85,4444_{\text {four }}=340$ 
D)  $1000 _\text { four }=64, \quad 3333_{\text {four }}=255$

Question 11

Convert the number to decimal form.
-5337eight

Accepted Answer

A) 42,696 
B) 2783 
C) 144 
D) 95 
A) 42,696 
B) 2783 
C) 144 
D) 95

Question 12

Convert the Egyptian numeral to Hindu-Arabic form.
-

Accepted Answer

A)  6020 
B)  620 
C)  62 
D)  6200 
A)  6020 
B)  620 
C)  62 
D)  6200

Question 13

Identify the number represented on the abacus.
-

Accepted Answer

A)  16 
B)  56 
C)  12 
D)  52 
A)  16 
B)  56 
C)  12 
D)  52

Question 14

Write the number as a Greek numeral.
-8531

Accepted Answer

A) $, \eta \chi \lambda \alpha$ 
B) , $\eta \varphi \lambda \alpha$ 
C)   
D)    
A) $, \eta \chi \lambda \alpha$ 
B) , $\eta \varphi \lambda \alpha$ 
C)   
D)

Question 15

Write the number as a Mayan numeral.
-54,439

Accepted Answer

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

Question 16

Convert the Hindu-Arabic numeral to Egyptian form.
-620

Accepted Answer

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

Question 17

Write the number in expanded form.
-three million, four hundred sixteen thousand, four hundred five

Accepted Answer

A)  $\left( 3 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 6 \cdot 10 ^ { 4 } \right) + \left( 0 \cdot 10 ^ { 3 } \right) + \left( 4 \cdot 10 ^ { 2 } \right) + \left( 5 \cdot 10 ^ { 1 } \right) + \left( 0 \cdot 10 ^ { 0 } \right)$ 
B)  $\left( 3 \cdot 10 ^ { 7 } \right) + \left( 4 \cdot 10 ^ { 6 } \right) + \left( 1 \cdot 10 ^ { 5 } \right) + \left( 6 \cdot 10 ^ { 4 } \right) + \left( 4 \cdot 10 ^ { 3 } \right) + \left( 0 \cdot 10 ^ { 2 } \right) + \left( 5 \cdot 10 ^ { 1 } \right)$ 
C)  $\left( 3 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 1 \cdot 10 ^ { 4 } \right) + \left( 6 \cdot 10 ^ { 3 } \right) + \left( 4 \cdot 10 ^ { 2 } \right) + \left( 0 \cdot 10 ^ { 1 } \right) + \left( 5 \cdot 10 ^ { 0 } \right)$ 
D)  $\left( 3 \cdot 10 ^ { 7 } \right) + \left( 4 \cdot 10 ^ { 6 } \right) + \left( 6 \cdot 10 ^ { 5 } \right) + \left( 1 \cdot 10 ^ { 4 } \right) + \left( 4 \cdot 10 ^ { 3 } \right) + \left( 5 \cdot 10 ^ { 2 } \right) + \left( 0 \cdot 10 ^ { 1 } \right)$ 
A)  $\left( 3 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 6 \cdot 10 ^ { 4 } \right) + \left( 0 \cdot 10 ^ { 3 } \right) + \left( 4 \cdot 10 ^ { 2 } \right) + \left( 5 \cdot 10 ^ { 1 } \right) + \left( 0 \cdot 10 ^ { 0 } \right)$ 
B)  $\left( 3 \cdot 10 ^ { 7 } \right) + \left( 4 \cdot 10 ^ { 6 } \right) + \left( 1 \cdot 10 ^ { 5 } \right) + \left( 6 \cdot 10 ^ { 4 } \right) + \left( 4 \cdot 10 ^ { 3 } \right) + \left( 0 \cdot 10 ^ { 2 } \right) + \left( 5 \cdot 10 ^ { 1 } \right)$ 
C)  $\left( 3 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 1 \cdot 10 ^ { 4 } \right) + \left( 6 \cdot 10 ^ { 3 } \right) + \left( 4 \cdot 10 ^ { 2 } \right) + \left( 0 \cdot 10 ^ { 1 } \right) + \left( 5 \cdot 10 ^ { 0 } \right)$ 
D)  $\left( 3 \cdot 10 ^ { 7 } \right) + \left( 4 \cdot 10 ^ { 6 } \right) + \left( 6 \cdot 10 ^ { 5 } \right) + \left( 1 \cdot 10 ^ { 4 } \right) + \left( 4 \cdot 10 ^ { 3 } \right) + \left( 5 \cdot 10 ^ { 2 } \right) + \left( 0 \cdot 10 ^ { 1 } \right)$

Question 18

Simplify the expansion.
-$\left( 6 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 1 \cdot 10 ^ { 3 } \right) + \left( 4 \cdot 10 ^ { 0 } \right)$

Accepted Answer

A)  $6,400,104$ 
B)  $6,401,040$ 
C)  $1,001,004$ 
D)  $6,401,004$ 
A)  $6,400,104$ 
B)  $6,401,040$ 
C)  $1,001,004$ 
D)  $6,401,004$

Question 19

Write the number as a Babylonian numeral.
-474

Accepted Answer

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

Question 20

Use the requested method to find the product.
-725 ·4035; use the Russian peasant method

Accepted Answer

A) 2,925,365 
B) 2,925,375 
C) 2,925,385 
D) 2,925,475 
A) 2,925,365 
B) 2,925,375 
C) 2,925,385 
D) 2,925,475

Determine the letters or numbers. -Write the binary code for the letter p.

Identify the number represented on the abacus. -

Convert the number to binary form. - $3425_ \text { eight }$

Perform the operation in expanded notation. Write your answer in simplified form. -940 - 771

Find the sum or product using the requested clock system. -3 ·18 in 7-day clock arithmetic

Convert the Roman numeral to Hindu-Arabic form -CLXXXV

Convert the Egyptian numeral to Hindu-Arabic form. -

Find the modular residue of the product. -6,734,947 ·6,868,419 (mod 7)

Solve the problem using the Egyptian algorithm for multiplication. Give final answer in Hindu-Arabic form. -16 × 50

Determine for base four the smallest and largest four-digit numbers and their decimal equivalents.

Convert the number to decimal form. -5337_eight

Convert the Egyptian numeral to Hindu-Arabic form. -

Identify the number represented on the abacus. -

Write the number as a Greek numeral. -8531

Write the number as a Mayan numeral. -54,439

Convert the Hindu-Arabic numeral to Egyptian form. -620

Write the number in expanded form. -three million, four hundred sixteen thousand, four hundred five

Simplify the expansion. - $\left( 6 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 1 \cdot 10 ^ { 3 } \right) + \left( 4 \cdot 10 ^ { 0 } \right)$

Write the number as a Babylonian numeral. -474

Use the requested method to find the product. -725 ·4035; use the Russian peasant method

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 4: Numeration Systems

Determine the letters or numbers. -Write the binary code for the letter p.

Identify the number represented on the abacus. -

Convert the number to binary form. - 3425 eight 3425_ \text { eight }3425 eight ​

Perform the operation in expanded notation. Write your answer in simplified form. -940 - 771

Find the sum or product using the requested clock system. -3 ·18 in 7-day clock arithmetic

Convert the Roman numeral to Hindu-Arabic form -CLXXXV

Convert the Egyptian numeral to Hindu-Arabic form. -

Find the modular residue of the product. -6,734,947 ·6,868,419 (mod 7)

Solve the problem using the Egyptian algorithm for multiplication. Give final answer in Hindu-Arabic form. -16 × 50

Determine for base four the smallest and largest four-digit numbers and their decimal equivalents.

Convert the number to decimal form. -5337eight

Convert the Egyptian numeral to Hindu-Arabic form. -

Identify the number represented on the abacus. -

Write the number as a Greek numeral. -8531

Write the number as a Mayan numeral. -54,439

Convert the Hindu-Arabic numeral to Egyptian form. -620

Write the number in expanded form. -three million, four hundred sixteen thousand, four hundred five

Simplify the expansion. - (6⋅106)+(4⋅105)+(1⋅103)+(4⋅100)\left( 6 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 1 \cdot 10 ^ { 3 } \right) + \left( 4 \cdot 10 ^ { 0 } \right)(6⋅106)+(4⋅105)+(1⋅103)+(4⋅100)

Write the number as a Babylonian numeral. -474

Use the requested method to find the product. -725 ·4035; use the Russian peasant method

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Convert the number to binary form. - $3425_ \text { eight }$

Convert the number to decimal form. -5337_eight

Simplify the expansion. - $\left( 6 \cdot 10 ^ { 6 } \right) + \left( 4 \cdot 10 ^ { 5 } \right) + \left( 1 \cdot 10 ^ { 3 } \right) + \left( 4 \cdot 10 ^ { 0 } \right)$