Question 1

If posts are spaced 11 feet apart, how many posts are needed for 99 feet of straight-line fence?
​
__________ posts
​

Accepted Answer

The answer of If posts are spaced 11 feet apart,...

Question 2

How many pages are necessary to make 1,050 copies of a manuscript that is 423 pages long? (Print on one side only.) ​

Accepted Answer

A)  915,850 
B)  775,850 
C)  626,650 
D)  423 
E)  444,150 
A)  915,850 
B)  775,850 
C)  626,650 
D)  423 
E)  444,150

Question 3

Thoth, an ancient Egyptian god of wisdom and learning, has abducted Ahmes, a famous Egyptian scribe, in order to assess his intellectual prowess. Thoth places Ahmes before a large funnel set in the ground (see figure below). It has a circular opening 1,000 ft in diameter, and its walls are quite slippery. If Ahmes attempts to enter the funnel, he will slip down the wall. At the bottom of the funnel is a sleep-inducing liquid that will instantly put Ahmes to sleep for eight hours if he touches it. Thoth hands Ahmes two objects: a rope 1,006.28 ft in length and the skull of a chicken. Thoth says to Ahmes, "If you are able to get to the central tower and touch it, we will live in harmony for the next millennium. If not, I will detain you for further testing. Please note that with each passing hour, I will decrease the rope's length by a foot. How can Ahmes reach the central ankh tower and touch it?
​   ​
Ahmes' dilemma. Note that there are two ankh-shaped towers. One stands on a cylindrical platform in the center of the funnel. The platform's surface is at ground level. The distance from the platform surface to the liquid is 500 ft. The other ankh tower is on land, at the edge of the funnel.
​

Accepted Answer

Tie one end of the rope onto t

Question 4

There are four separate, equal-size boxes, and inside each box there are two separate small boxes, and inside each of the small boxes there are three even smaller boxes. How many boxes are there all together?
​
__________ boxes
​

Accepted Answer

The answer of There are four separate, equal-size boxes, and...

Question 5

Perform the operations. ​
6 + 8 × 5
​

Accepted Answer

A)  49 
B)  70 
C)  46 
D)  43 
E)  40 
A)  49 
B)  70 
C)  46 
D)  43 
E)  40

Question 6

Compute the result. Leave your answer in scientific notation. Round your answer to 1 decimal place. ​   ​

Accepted Answer

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

Question 7

Ten full crates of walnuts weigh 390 pounds, whereas an empty crate weighs 5 pounds. How much do the walnuts alone weigh?
​
__________ pounds
​

Accepted Answer

The answer of Ten full crates of walnuts weigh 390...

Question 8

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,000? ​

Accepted Answer

A)  48 min, 13 sec. 
B)  105 min, 1 sec. 
C)  91 min, 3 sec. 
D)  48 min 
E)  83 min, 6 sec. 
A)  48 min, 13 sec. 
B)  105 min, 1 sec. 
C)  91 min, 3 sec. 
D)  48 min 
E)  83 min, 6 sec.

Question 9

Compute the result. Leave your answer in scientific notation. Round your answer to 1 decimal place. ​   ​

Accepted Answer

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

Question 10

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,100?
​
It takes __________ min, __________ sec.

Accepted Answer

The answer of If it takes one second to write...

Question 11

Find the seven pattern. ​

Accepted Answer

A)  7, 5, 3, 1, 8, 7, 5, 3, 9, . . . 
B)  7, 6, 4, 2, 7, 7, 5, 3, 8, . . . 
C)  7, 6, 3, 2, 8, 7, 4, 3, 9, . . . 
D)  7, 5, 3, 1, 8, 6, 4, 2, 9, . . . 
E)  7, 5, 4, 1, 7, 6, 5, 2, 8, . . . 
A)  7, 5, 3, 1, 8, 7, 5, 3, 9, . . . 
B)  7, 6, 4, 2, 7, 7, 5, 3, 8, . . . 
C)  7, 6, 3, 2, 8, 7, 4, 3, 9, . . . 
D)  7, 5, 3, 1, 8, 6, 4, 2, 9, . . . 
E)  7, 5, 4, 1, 7, 6, 5, 2, 8, . . .

Question 12

Perform the operations.
​

Accepted Answer

The answer of Perform the operations.
​  ...

Question 13

Alex, Beverly, and Cal live on the same straight road. Alex lives 13 miles from Beverly and Cal lives 2 miles from Beverly. How far does Alex live from Cal? ​

Accepted Answer

A)  15 miles 
B)  11 miles 
C)  11 miles or 15 miles 
D)  13 miles or 2 miles 
E)  24 miles or 17 miles 
A)  15 miles 
B)  11 miles 
C)  11 miles or 15 miles 
D)  13 miles or 2 miles 
E)  24 miles or 17 miles

Question 14

Perform the operations. ​   ​

Accepted Answer

A)  33 
B)  39 
C)  36 
D)  37 
E)  300 
A)  33 
B)  39 
C)  36 
D)  37 
E)  300

Question 15

Write the number in fixed-point notation. Round your answer to 10 decimal places. ​   ​

Accepted Answer

A)  0.0771604938 
B)  0.0000007716 
C)  0.0077160494 
D)  0.6666666667 
E)  0.0007716049 
A)  0.0771604938 
B)  0.0000007716 
C)  0.0077160494 
D)  0.6666666667 
E)  0.0007716049

Question 16

What is the sum of the first 80 consecutive odd numbers? ​

Accepted Answer

A)  6,396 
B)  6,404 
C)  6,360 
D)  6,400 
E)  6,480 
A)  6,396 
B)  6,404 
C)  6,360 
D)  6,400 
E)  6,480

Question 17

Write the number 2,600 in scientific notation and in floating-point notation (as on a calculator). Round your answers to 1 decimal place.
​
Enter the number in scientific notation. __________
​
The number in floating-point notation is __________ __________.

Accepted Answer

The answer of Write the number 2,600 in scientific notation...

Question 18

Use Euler circles to check the validity of the argument. ​
No politicians are honest. Some dishonest people are found out. Therefore, some politicians are found out.
​
The argument is __________.
​

Accepted Answer

A)  not valid 
B)  valid 
A)  not valid 
B)  valid

Question 19

What is the sum of the first 100 consecutive odd numbers?

Accepted Answer

The answer of What is the sum of the first...

Question 20

Use Euler circles to check the validity of the argument. ​
All lions are fierce. Some lions do not drink coffee. Therefore, some creatures that drink coffee are not fierce.
​
The argument is __________.
​

Accepted Answer

A)  not valid 
B)  valid 
A)  not valid 
B)  valid

If posts are spaced 11 feet apart, how many posts are needed for 99 feet of straight-line fence? __________ posts

How many pages are necessary to make 1,050 copies of a manuscript that is 423 pages long? (Print on one side only.)

There are four separate, equal-size boxes, and inside each box there are two separate small boxes, and inside each of the small boxes there are three even smaller boxes. How many boxes are there all together? __________ boxes

Perform the operations. 6 + 8 × 5

Compute the result. Leave your answer in scientific notation. Round your answer to 1 decimal place.

Ten full crates of walnuts weigh 390 pounds, whereas an empty crate weighs 5 pounds. How much do the walnuts alone weigh? __________ pounds

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,000?

Compute the result. Leave your answer in scientific notation. Round your answer to 1 decimal place.

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,100? It takes min, sec.

Find the seven pattern.

Perform the operations.

Alex, Beverly, and Cal live on the same straight road. Alex lives 13 miles from Beverly and Cal lives 2 miles from Beverly. How far does Alex live from Cal?

Perform the operations.

Write the number in fixed-point notation. Round your answer to 10 decimal places.

What is the sum of the first 80 consecutive odd numbers?

Write the number 2,600 in scientific notation and in floating-point notation (as on a calculator). Round your answers to 1 decimal place. Enter the number in scientific notation. The number in floating-point notation is __.

Use Euler circles to check the validity of the argument. No politicians are honest. Some dishonest people are found out. Therefore, some politicians are found out. The argument is __________.

What is the sum of the first 100 consecutive odd numbers?

Use Euler circles to check the validity of the argument. All lions are fierce. Some lions do not drink coffee. Therefore, some creatures that drink coffee are not fierce. The argument is __________.

The Nature of Sets

The Nature of Logic

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

The Nature of Voting and Apportionment

Filters

Exam 1: The Nature of Problem Solving

If posts are spaced 11 feet apart, how many posts are needed for 99 feet of straight-line fence? ​ __________ posts ​

How many pages are necessary to make 1,050 copies of a manuscript that is 423 pages long? (Print on one side only.) ​

There are four separate, equal-size boxes, and inside each box there are two separate small boxes, and inside each of the small boxes there are three even smaller boxes. How many boxes are there all together? ​ __________ boxes ​

Perform the operations. ​ 6 + 8 × 5 ​

Compute the result. Leave your answer in scientific notation. Round your answer to 1 decimal place. ​ ​

Ten full crates of walnuts weigh 390 pounds, whereas an empty crate weighs 5 pounds. How much do the walnuts alone weigh? ​ __________ pounds ​

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,000? ​

Compute the result. Leave your answer in scientific notation. Round your answer to 1 decimal place. ​ ​

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,100? ​ It takes __________ min, __________ sec.

Find the seven pattern. ​

Perform the operations. ​

Alex, Beverly, and Cal live on the same straight road. Alex lives 13 miles from Beverly and Cal lives 2 miles from Beverly. How far does Alex live from Cal? ​

Perform the operations. ​ ​

Write the number in fixed-point notation. Round your answer to 10 decimal places. ​ ​

What is the sum of the first 80 consecutive odd numbers? ​

Write the number 2,600 in scientific notation and in floating-point notation (as on a calculator). Round your answers to 1 decimal place. ​ Enter the number in scientific notation. __________ ​ The number in floating-point notation is __________ __________.

Use Euler circles to check the validity of the argument. ​ No politicians are honest. Some dishonest people are found out. Therefore, some politicians are found out. ​ The argument is __________. ​

What is the sum of the first 100 consecutive odd numbers?

Use Euler circles to check the validity of the argument. ​ All lions are fierce. Some lions do not drink coffee. Therefore, some creatures that drink coffee are not fierce. ​ The argument is __________. ​

The Nature of Sets

The Nature of Logic

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

The Nature of Voting and Apportionment

Filters

If posts are spaced 11 feet apart, how many posts are needed for 99 feet of straight-line fence? __________ posts

How many pages are necessary to make 1,050 copies of a manuscript that is 423 pages long? (Print on one side only.)

There are four separate, equal-size boxes, and inside each box there are two separate small boxes, and inside each of the small boxes there are three even smaller boxes. How many boxes are there all together? __________ boxes

Perform the operations. 6 + 8 × 5

Compute the result. Leave your answer in scientific notation. Round your answer to 1 decimal place.

Ten full crates of walnuts weigh 390 pounds, whereas an empty crate weighs 5 pounds. How much do the walnuts alone weigh? __________ pounds

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,000?

Compute the result. Leave your answer in scientific notation. Round your answer to 1 decimal place.

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,100? It takes min, sec.

Find the seven pattern.

Perform the operations.

Alex, Beverly, and Cal live on the same straight road. Alex lives 13 miles from Beverly and Cal lives 2 miles from Beverly. How far does Alex live from Cal?

Perform the operations.

Write the number in fixed-point notation. Round your answer to 10 decimal places.

What is the sum of the first 80 consecutive odd numbers?

Write the number 2,600 in scientific notation and in floating-point notation (as on a calculator). Round your answers to 1 decimal place. Enter the number in scientific notation. The number in floating-point notation is __.

Use Euler circles to check the validity of the argument. No politicians are honest. Some dishonest people are found out. Therefore, some politicians are found out. The argument is __________.

Use Euler circles to check the validity of the argument. All lions are fierce. Some lions do not drink coffee. Therefore, some creatures that drink coffee are not fierce. The argument is __________.