Question 1

Convert the Chinese numeral to Hindu-Arabic form.
-

Accepted Answer

A)  2000 
B)  26 
C)  200 
D)  20 
A)  2000 
B)  26 
C)  200 
D)  20

Question 2

Determine the letters or numbers.
-Break 1101101110111111011111101110 into groups of seven digits and write as lower case letters.

Accepted Answer

A) mend 
B) soon 
C) mash 
D) moon 
A) mend 
B) soon 
C) mash 
D) moon

Question 3

Simplify the expansion.
-$\left( 5 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 0 } \right)$

Accepted Answer

A)  590 
B)  95 
C)  950 
D)  59 
A)  590 
B)  95 
C)  950 
D)  59

Question 4

Use the requested method to find the product.
-112 ·82; Use the Russian peasant method

Accepted Answer

A) 9284 
B) 9174 
C) 9194 
D) 9184 
A) 9284 
B) 9174 
C) 9194 
D) 9184

Question 5

Convert the Egyptian numeral to Hindu-Arabic form.
-

Accepted Answer

A)  6547 
B)  11,473 
C)  6973 
D)  65,473 
A)  6547 
B)  11,473 
C)  6973 
D)  65,473

Question 6

Convert the Hindu-Arabic numeral to Egyptian form.
-1011

Accepted Answer

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

Question 7

Sketch an abacus to represent the given number.
-45,352

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 8

Perform the modular arithmetic operation.
-[(-5)· 6](mod 7)

Accepted Answer

A) 1 
B) -2 
C) -5 
D) 5 
A) 1 
B) -2 
C) -5 
D) 5

Question 9

Use the requested method to find the product.
-29 ·74; Use the Russian peasant method

Accepted Answer

A) 2156 
B) 2136 
C) 2146 
D) 2246 
A) 2156 
B) 2136 
C) 2146 
D) 2246

Question 10

Perform the modular arithmetic operation.
-[(13 ·3)+ 9](mod 8)

Accepted Answer

A) 1 
B) 3 
C) 7 
D) 0 
A) 1 
B) 3 
C) 7 
D) 0

Question 11

Convert the Roman numeral to Hindu-Arabic form
-MMDXCVIII

Accepted Answer

A) 2598 
B) 2098 
C) 298 
D) 2508 
A) 2598 
B) 2098 
C) 298 
D) 2508

Question 12

Convert the number to the indicated base.
-$123_{\text {five }}$ to base nine

Accepted Answer

A) $38 _\text { nine }$ 
B) $24 _\text { nine }$ 
C)  $42 _\text { nine }$ 
D)  $14 _\text { nine }$ 
A) $38 _\text { nine }$ 
B) $24 _\text { nine }$ 
C)  $42 _\text { nine }$ 
D)  $14 _\text { nine }$

Question 13

Sketch an abacus to represent the given number.
-635

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 14

Convert the number to decimal form.
-130five

Accepted Answer

A) 650 
B) 40 
C) 200 
D) 20 
A) 650 
B) 40 
C) 200 
D) 20

Question 15

Convert the Egyptian numeral to Hindu-Arabic form.
-

Accepted Answer

A)  11,001 
B)  1011 
C)  1101 
D)  1110 
A)  11,001 
B)  1011 
C)  1101 
D)  1110

Question 16

Convert from binary form to the indicated base.
-$10100100010 _ { \text {two } }$ to base eight

Accepted Answer

A)  $2222_ \text { eight }$ 
B)  $1111_ \text { eight }$ 
C) $2442_ \text { eight }$ 
D)  $8888_ \text { eight }$ 
A)  $2222_ \text { eight }$ 
B)  $1111_ \text { eight }$ 
C) $2442_ \text { eight }$ 
D)  $8888_ \text { eight }$

Question 17

Perform the operation in expanded notation. Write your answer in simplified form.
-59 + 38

Accepted Answer

A) 117 
B) 97 
C) 107 
D) 569 
A) 117 
B) 97 
C) 107 
D) 569

Question 18

Solve the problem.
-If Tuesday is your starting day, what day will it be 1 year, 45 days from Tuesday? (Assume no leap years.)

Accepted Answer

A) Tuesday 
B) Monday 
C) Saturday 
D) Thursday 
A) Tuesday 
B) Monday 
C) Saturday 
D) Thursday

Question 19

The following formula can be used to find the day of the week on which a given year begins. First calculate $\mathrm { a } = \mathrm { y } + \llbracket ( \mathrm { y } - 1 ) / 4 \rrbracket - \llbracket ( \mathrm { y } - 1 ) / 100 \rrbracket + \llbracket ( \mathrm { y } - 1 ) / 400 \rrbracket $ where y represents the year and $\llbracket x  \rrbracket$ represents the greatest integer less than or equal to $x$. After finding $a$, find the smallest nonnegative integer $b$ such that$a \equiv b ( \bmod 7 )$ Then $b$ gives the day of January 1 , with $b = 0$ representing Sunday, $b = 1$ Monday and so on. Find the day of the week on which January 1 would occur in the year 1890 .

Accepted Answer

A)  Thursday 
B)  Sunday 
C)  Tuesday 
D)  Wednesday 
A)  Thursday 
B)  Sunday 
C)  Tuesday 
D)  Wednesday

Question 20

Perform the addition or subtraction and give your answer in Hindu-Arabic form.
-

Accepted Answer

A)  1267 
B)  1277 
C)  1367 
D)  1377 
A)  1267 
B)  1277 
C)  1367 
D)  1377

Convert the Chinese numeral to Hindu-Arabic form. -

Determine the letters or numbers. -Break 1101101110111111011111101110 into groups of seven digits and write as lower case letters.

Simplify the expansion. - $\left( 5 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 0 } \right)$

Use the requested method to find the product. -112 ·82; Use the Russian peasant method

Convert the Egyptian numeral to Hindu-Arabic form. -

Convert the Hindu-Arabic numeral to Egyptian form. -1011

Sketch an abacus to represent the given number. -45,352

Perform the modular arithmetic operation. -[(-5)· 6](mod 7)

Use the requested method to find the product. -29 ·74; Use the Russian peasant method

Perform the modular arithmetic operation. -[(13 ·3)+ 9](mod 8)

Convert the Roman numeral to Hindu-Arabic form -MMDXCVIII

Convert the number to the indicated base. - $123_{\text {five }}$ to base nine

Sketch an abacus to represent the given number. -635

Convert the number to decimal form. -130_five

Convert the Egyptian numeral to Hindu-Arabic form. -

Convert from binary form to the indicated base. - $10100100010 _ { \text {two } }$ to base eight

Perform the operation in expanded notation. Write your answer in simplified form. -59 + 38

Solve the problem. -If Tuesday is your starting day, what day will it be 1 year, 45 days from Tuesday? (Assume no leap years.)

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

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

Convert the Chinese numeral to Hindu-Arabic form. -

Determine the letters or numbers. -Break 1101101110111111011111101110 into groups of seven digits and write as lower case letters.

Simplify the expansion. - (5⋅101)+(9⋅100)\left( 5 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 0 } \right)(5⋅101)+(9⋅100)

Use the requested method to find the product. -112 ·82; Use the Russian peasant method

Convert the Egyptian numeral to Hindu-Arabic form. -

Convert the Hindu-Arabic numeral to Egyptian form. -1011

Sketch an abacus to represent the given number. -45,352

Perform the modular arithmetic operation. -[(-5)· 6](mod 7)

Use the requested method to find the product. -29 ·74; Use the Russian peasant method

Perform the modular arithmetic operation. -[(13 ·3)+ 9](mod 8)

Convert the Roman numeral to Hindu-Arabic form -MMDXCVIII

Convert the number to the indicated base. - 123five 123_{\text {five }}123five ​ to base nine

Sketch an abacus to represent the given number. -635

Convert the number to decimal form. -130five

Convert the Egyptian numeral to Hindu-Arabic form. -

Convert from binary form to the indicated base. - 10100100010two 10100100010 _ { \text {two } }10100100010two ​ to base eight

Perform the operation in expanded notation. Write your answer in simplified form. -59 + 38

Solve the problem. -If Tuesday is your starting day, what day will it be 1 year, 45 days from Tuesday? (Assume no leap years.)

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

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

Simplify the expansion. - $\left( 5 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 0 } \right)$

Convert the number to the indicated base. - $123_{\text {five }}$ to base nine

Convert the number to decimal form. -130_five

Convert from binary form to the indicated base. - $10100100010 _ { \text {two } }$ to base eight