Question 1

Perform the modular arithmetic operation.
-(10 ·7)(mod 6)

Accepted Answer

A) 3 
B) 11 
C) 6 
D) 4 
A) 3 
B) 11 
C) 6 
D) 4

Question 2

Perform the modular arithmetic operation.
-(15 - 53)(mod 4)

Accepted Answer

A) 3 
B) 1 
C) 2 
D) 152 
A) 3 
B) 1 
C) 2 
D) 152

Question 3

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system.
-

Accepted Answer

A)  Mayan; 286 
B)  Mayan; 5046 
C)  Babylonian; 8651 
D)  Mayan; 491 
A)  Mayan; 286 
B)  Mayan; 5046 
C)  Babylonian; 8651 
D)  Mayan; 491

Question 4

Find the sum or product using the requested clock system.
-3 + 221 in 7-day clock arithmetic

Accepted Answer

A) 0 
B) 8 
C) 5 
D) 3 
A) 0 
B) 8 
C) 5 
D) 3

Question 5

Find all positive solutions for the equation.
-8x≡ 4 (mod 4)

Accepted Answer

A) {1, 5, 9, ...} 
B) Identity 
C) {4, 8, 12, ...} 
D) {2, 6, 5, ...} 
A) {1, 5, 9, ...} 
B) Identity 
C) {4, 8, 12, ...} 
D) {2, 6, 5, ...}

Question 6

Use the requested method to find the product.
-807 ·811; Use the Russian peasant method

Accepted Answer

A) 654,577 
B) 654,477 
C) 654,487 
D) 654,467 
A) 654,577 
B) 654,477 
C) 654,487 
D) 654,467

Question 7

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system.
-

Accepted Answer

A)  Mayan; 272 
B)  Mayan; 482 
C)  Babylonian; 1402 
D)  Mayan; 267 
A)  Mayan; 272 
B)  Mayan; 482 
C)  Babylonian; 1402 
D)  Mayan; 267

Question 8

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system.
-

Accepted Answer

A)  Mayan; 277 
B)  Babylonian; 1412 
C)  Babylonian; 492 
D)  Babylonian; 1943 
A)  Mayan; 277 
B)  Babylonian; 1412 
C)  Babylonian; 492 
D)  Babylonian; 1943

Question 9

Solve the problem.
-A machine operator works both day and evening shifts. She works the day shift for 5 consecutive days, then the evening shift for 3 consecutive days, then the day shift for 2 consecutive days and
Then the evening shift for 4 consecutive days. If she is in day 3 of the 5-day consecutive day shift,
What shift will she be working 75 days from now?

Accepted Answer

A) Evening 
B) Day 
A) Evening 
B) Day

Question 10

Write the number in expanded form.
-936

Accepted Answer

A)  $\left( 9 \cdot 10 ^ { 0 } \right) + \left( 3 \cdot 10 ^ { 1 } \right) + \left( 6 \cdot 10 ^ { 2 } \right)$ 
B)  $\left( 9 \cdot 10 ^ { 2 } \right) + \left( 3 \cdot 10 ^ { 1 } \right) + \left( 6 \cdot 10 ^ { 0 } \right)$ 
C)  $\left( 9 \cdot 10 ^ { 1 } \right) + \left( 3 \cdot 10 ^ { 2 } \right) + \left( 6 \cdot 10 ^ { 3 } \right)$ 
D)  $\left( 9 \cdot 10 ^ { 3 } \right) + \left( 3 \cdot 10 ^ { 2 } \right) + \left( 6 \cdot 10 ^ { 1 } \right)$ 
A)  $\left( 9 \cdot 10 ^ { 0 } \right) + \left( 3 \cdot 10 ^ { 1 } \right) + \left( 6 \cdot 10 ^ { 2 } \right)$ 
B)  $\left( 9 \cdot 10 ^ { 2 } \right) + \left( 3 \cdot 10 ^ { 1 } \right) + \left( 6 \cdot 10 ^ { 0 } \right)$ 
C)  $\left( 9 \cdot 10 ^ { 1 } \right) + \left( 3 \cdot 10 ^ { 2 } \right) + \left( 6 \cdot 10 ^ { 3 } \right)$ 
D)  $\left( 9 \cdot 10 ^ { 3 } \right) + \left( 3 \cdot 10 ^ { 2 } \right) + \left( 6 \cdot 10 ^ { 1 } \right)$

Question 11

Simplify the expansion.
-$\left( 5 \cdot 10 ^ { 3 } \right) + \left( 8 \cdot 10 ^ { 2 } \right) + \left( 0 \cdot 10 ^ { 1 } \right) + \left( 8 \cdot 10 ^ { 0 } \right)$

Accepted Answer

A)  5880 
B)  58,080 
C)  5808 
D)  588 
A)  5880 
B)  58,080 
C)  5808 
D)  588

Question 12

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system.
-$\theta$
M $\chi \alpha$

Accepted Answer

A)  Greek; 90,601 
B)  Greek; 96,100 
C)  Mayan; 90,061 
D)  Greek; 9601 
A)  Greek; 90,601 
B)  Greek; 96,100 
C)  Mayan; 90,061 
D)  Greek; 9601

Question 13

Convert the decimal number to the given base.
-2,874 to base seven

Accepted Answer

A)  $11422 _ { \text {seven } }$ 
B)  $11244 _ { \text {seven } }$ 
C)  $11442 _ { \text {seven } }$ 
D)  $11224 _ { \text {seven } }$ 
A)  $11422 _ { \text {seven } }$ 
B)  $11244 _ { \text {seven } }$ 
C)  $11442 _ { \text {seven } }$ 
D)  $11224 _ { \text {seven } }$

Question 14

Identify the number represented on the abacus.
-

Accepted Answer

A)  9,309 
B)  939 
C)  5309 
D)  539 
A)  9,309 
B)  939 
C)  5309 
D)  539

Question 15

Sketch an abacus to represent the given number.
-55,555

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 16

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

Accepted Answer

A) 1100001 
B) 1110011 
C) 1000011 
D) 1000111 
A) 1100001 
B) 1110011 
C) 1000011 
D) 1000111

Question 17

Solve the problem.
-Write (in the same base)the counting numbers just before and just after 3246seven.

Accepted Answer

A) 3254seven, 3250seven 
B) 165seven, 166seven 
C) 3245seven, 3247seven 
D) 3245seven, 3250seven 
A) 3254seven, 3250seven 
B) 165seven, 166seven 
C) 3245seven, 3247seven 
D) 3245seven, 3250seven

Question 18

Convert the Chinese numeral to Hindu-Arabic form.
-

Accepted Answer

A)  86 
B)  806 
C)  85 
D)  805 
A)  86 
B)  806 
C)  85 
D)  805

Question 19

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

Accepted Answer

A)  434 
B)  4340 
C)  4350 
D)  435 
A)  434 
B)  4340 
C)  4350 
D)  435

Question 20

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols.
-base ten, six distinct symbols

Accepted Answer

A) 1,000,000 
B) 100,000 
C) 99,999 
D) 999,999 
A) 1,000,000 
B) 100,000 
C) 99,999 
D) 999,999

Perform the modular arithmetic operation. -(10 ·7)(mod 6)

Perform the modular arithmetic operation. -(15 - 53)(mod 4)

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Find the sum or product using the requested clock system. -3 + 221 in 7-day clock arithmetic

Find all positive solutions for the equation. -8x≡ 4 (mod 4)

Use the requested method to find the product. -807 ·811; Use the Russian peasant method

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Write the number in expanded form. -936

Simplify the expansion. - $\left( 5 \cdot 10 ^ { 3 } \right) + \left( 8 \cdot 10 ^ { 2 } \right) + \left( 0 \cdot 10 ^ { 1 } \right) + \left( 8 \cdot 10 ^ { 0 } \right)$

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. - $\theta$ M $\chi \alpha$

Convert the decimal number to the given base. -2,874 to base seven

Identify the number represented on the abacus. -

Sketch an abacus to represent the given number. -55,555

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

Solve the problem. -Write (in the same base)the counting numbers just before and just after 3246seven.

Convert the Chinese numeral to Hindu-Arabic form. -

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

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols. -base ten, six distinct symbols

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

Perform the modular arithmetic operation. -(10 ·7)(mod 6)

Perform the modular arithmetic operation. -(15 - 53)(mod 4)

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Find the sum or product using the requested clock system. -3 + 221 in 7-day clock arithmetic

Find all positive solutions for the equation. -8x≡ 4 (mod 4)

Use the requested method to find the product. -807 ·811; Use the Russian peasant method

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. -

Write the number in expanded form. -936

Simplify the expansion. - (5⋅103)+(8⋅102)+(0⋅101)+(8⋅100)\left( 5 \cdot 10 ^ { 3 } \right) + \left( 8 \cdot 10 ^ { 2 } \right) + \left( 0 \cdot 10 ^ { 1 } \right) + \left( 8 \cdot 10 ^ { 0 } \right)(5⋅103)+(8⋅102)+(0⋅101)+(8⋅100)

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. - θ\thetaθ M χα\chi \alphaχα

Convert the decimal number to the given base. -2,874 to base seven

Identify the number represented on the abacus. -

Sketch an abacus to represent the given number. -55,555

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

Solve the problem. -Write (in the same base)the counting numbers just before and just after 3246seven.

Convert the Chinese numeral to Hindu-Arabic form. -

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

Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols. -base ten, six distinct symbols

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. - $\left( 5 \cdot 10 ^ { 3 } \right) + \left( 8 \cdot 10 ^ { 2 } \right) + \left( 0 \cdot 10 ^ { 1 } \right) + \left( 8 \cdot 10 ^ { 0 } \right)$

Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system. - $\theta$ M $\chi \alpha$