Question 1

Use inductive reasoning to predict the next equation.
-(1 × 9)- 7 = 2 
(21 × 9)- 7 = 182
(321 × 9)- 7 = 2882

Accepted Answer

A) (4321 × 9)- 7 = 3881 
B) (4321 × 9)- 7 = 28,882 
C) (432 × 9)- 7 = 38,882 
D) (4321 × 9)- 7 = 38,882 
A) (4321 × 9)- 7 = 3881 
B) (4321 × 9)- 7 = 28,882 
C) (432 × 9)- 7 = 38,882 
D) (4321 × 9)- 7 = 38,882

Question 2

Solve the problem.
-An average library contains at least 50 and at most 250 books. How many library owners must be polled to be certain that at least two owners have the same number of books in their libraries?

Accepted Answer

A) 200 owners 
B) 201 owners 
C) 203 owners 
D) 202 owners 
A) 200 owners 
B) 201 owners 
C) 203 owners 
D) 202 owners

Question 3

Use logic to solve the problem.
-If it takes 10 minutes to hard-boil 5 goose eggs when dropped into boiling water, how long will it take to hard-boil 10 goose eggs?

Accepted Answer

The same t

Question 4

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display.
-41.3 - 7 × 4.5

Accepted Answer

A) 257.60 
B) 9.80 
C) 29.8 
D) 176.85 
A) 257.60 
B) 9.80 
C) 29.8 
D) 176.85

Question 5

Complete the magic (addition)square. A magic square has the property that the sum of the numbers in any row, column,
or diagonal is the same.
-Use each number 8, 9, 10, 11, 12, 13, 14, 15, and 16 once.
 $\begin{array}{|r|r|r|}
\hline 11 & & 9 \
\hline & 12 & 14 \
\hline & 8 & \
\hline
\end{array}$

Accepted Answer

A) 
$\begin{array}{|r|r|r|}
\hline 11 & 16 & 9 \
\hline 10 & 12 & 14 \
\hline 15 & 8 & 13 \
\hline
\end{array}$ 
B) 
$\begin{array}{|r|r|r|}
\hline 11 & 13 & 9 \
\hline 10 & 12 & 14 \
\hline 15 & 8 & 16 \
\hline
\end{array}$ 
C) 
$\begin{array}{|r|r|r|}
\hline 11 & 15 & 9 \
\hline 10 & 12 & 14 \
\hline 13 & 8 & 16 \
\hline
\end{array}$ 
D) 
$\begin{array}{|r|r|r|}
\hline 11 & 16 & 9 \
\hline 10 & 12 & 14 \
\hline 13 & 8 & 15 \
\hline
\end{array}$ 
A) 
$\begin{array}{|r|r|r|}
\hline 11 & 16 & 9 \
\hline 10 & 12 & 14 \
\hline 15 & 8 & 13 \
\hline
\end{array}$ 
B) 
$\begin{array}{|r|r|r|}
\hline 11 & 13 & 9 \
\hline 10 & 12 & 14 \
\hline 15 & 8 & 16 \
\hline
\end{array}$ 
C) 
$\begin{array}{|r|r|r|}
\hline 11 & 15 & 9 \
\hline 10 & 12 & 14 \
\hline 13 & 8 & 16 \
\hline
\end{array}$ 
D) 
$\begin{array}{|r|r|r|}
\hline 11 & 16 & 9 \
\hline 10 & 12 & 14 \
\hline 13 & 8 & 15 \
\hline
\end{array}$

Question 6

Use the indicated formula to find the sum.
-Use $S = \frac { n ( n + 1 ) } { 2 }$ to find the sum of $10 + 11 + 12 + \ldots + 600$

Accepted Answer

A)  180,264 
B)  180,300 
C)  180,255 
D)  179,664 
A)  180,264 
B)  180,300 
C)  180,255 
D)  179,664

Question 7

Use logic to solve the problem.
-Mike and Tom find a long drainage pipe in a vacant lot. It is big enough so that each boy can just manage to squeeze into it and crawl from one end to the other. If Mike and Tom go into the pipe from opposite ends, is it possible for each boy to crawl the entire length of the pipe and come out the other end?

Accepted Answer

Yes. First Mike crawls through

Question 8

Find a pattern and use it to solve the problem.
-Find the next term: 2, 3, 5, 7, 11, 13

Accepted Answer

A) 17 
B) 16 
C) 19 
D) 15 
A) 17 
B) 16 
C) 19 
D) 15

Question 9

Determine the number of figures (of any size)in the design.
-Squares (of any size)

Accepted Answer

A)  11 
B)  12 
C)  9 
D)  8 
A)  11 
B)  12 
C)  9 
D)  8

Question 10

Use the indicated formula to find the sum.
-Use $S = \frac { n ( n + 1 ) } { 2 }$ to find the sum of $1 + 2 + 3 + \ldots + 7000$.

Accepted Answer

A)  $24,499,999.5$ 
B)  $24,503,500$ 
C)  $24,496,500$ 
D)  $12,248,250$ 
A)  $24,499,999.5$ 
B)  $24,503,500$ 
C)  $24,496,500$ 
D)  $12,248,250$

Use inductive reasoning to predict the next equation. -(1 × 9)- 7 = 2 (21 × 9)- 7 = 182 (321 × 9)- 7 = 2882

Solve the problem. -An average library contains at least 50 and at most 250 books. How many library owners must be polled to be certain that at least two owners have the same number of books in their libraries?

Use logic to solve the problem. -If it takes 10 minutes to hard-boil 5 goose eggs when dropped into boiling water, how long will it take to hard-boil 10 goose eggs?

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. -41.3 - 7 × 4.5

Complete the magic (addition)square. A magic square has the property that the sum of the numbers in any row, column, or diagonal is the same. -Use each number 8, 9, 10, 11, 12, 13, 14, 15, and 16 once. 11 9 12 14 8

Use the indicated formula to find the sum. -Use $S = \frac { n ( n + 1 ) } { 2 }$ to find the sum of $10 + 11 + 12 + \ldots + 600$

Find a pattern and use it to solve the problem. -Find the next term: 2, 3, 5, 7, 11, 13

Determine the number of figures (of any size)in the design. -Squares (of any size)

Use the indicated formula to find the sum. -Use $S = \frac { n ( n + 1 ) } { 2 }$ to find the sum of $1 + 2 + 3 + \ldots + 7000$ .

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

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 1: The Art of Problem Solving