Question 1

Determine the most probable next term in the sequence.
-2, 5, 4, 10, 8, 20

Accepted Answer

A) 40 
B) 12 
C) 30 
D) 16 
A) 40 
B) 12 
C) 30 
D) 16

Question 2

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 33, 34, 35, 36, 37, 38, 39, 40, and 41 once. $\begin{array}{|l|l|l|}
\hline 38 & & \
\hline & 37 & 35 \
\hline 34 & 41 & \
\hline
\end{array}$

Accepted Answer

A) 
$\begin{array}{|l|l|l|}
\hline 38 & 36 & 40 \
\hline 39 & 37 & 35 \
\hline 34 & 41 & 33 \
\hline
\end{array}$ 
B) 
$\begin{array}{|l|l|l|}
\hline 38 & 36 & 39 \
\hline 40 & 37 & 35 \
\hline 34 & 41 & 33 \
\hline
\end{array}$ 
C) 
$\begin{array}{|l|l|l|}
\hline 38 & 33 & 40 \
\hline 39 & 37 & 35 \
\hline 34 & 41 & 36 \
\hline
\end{array}$ 
D) 
$\begin{array}{|l|l|l|}
\hline 38 & 33 & 39 \
\hline 40 & 37 & 35 \
\hline 34 & 41 & 36 \
\hline
\end{array}$ 
A) 
$\begin{array}{|l|l|l|}
\hline 38 & 36 & 40 \
\hline 39 & 37 & 35 \
\hline 34 & 41 & 33 \
\hline
\end{array}$ 
B) 
$\begin{array}{|l|l|l|}
\hline 38 & 36 & 39 \
\hline 40 & 37 & 35 \
\hline 34 & 41 & 33 \
\hline
\end{array}$ 
C) 
$\begin{array}{|l|l|l|}
\hline 38 & 33 & 40 \
\hline 39 & 37 & 35 \
\hline 34 & 41 & 36 \
\hline
\end{array}$ 
D) 
$\begin{array}{|l|l|l|}
\hline 38 & 33 & 39 \
\hline 40 & 37 & 35 \
\hline 34 & 41 & 36 \
\hline
\end{array}$

Question 3

Use problem solving strategies to solve the problem.
-Steve is older than Donna but younger than Brenda. Kelly is younger than Brandon. What is the first letter in the name of the oldest person?

Accepted Answer

A) K 
B) D 
C) B 
D) S 
A) K 
B) D 
C) B 
D) S

Question 4

Solve the problem.
-If you raise 4 to the 214th power, what is the units digit of the result?

Accepted Answer

A) 2 
B) 4 
C) 8 
D) 6 
A) 2 
B) 4 
C) 8 
D) 6

Question 5

Solve the problem using inductive reasoning.
-Choose a value of $n$ greater than 
1 . Find $S _ { n }$ and multiply it by 
3 . Find $T _ { n }$ and multiply it by
2. Subtract the smaller number from the larger number. In other words calculate $3 S _ { n } - 2$ $\mathrm { T } _ { \mathrm { n } }$. Repeat this for various values of $\mathrm { n }$. What kind of figurate numbers do you get?

Accepted Answer

The answer of Solve the problem using inductive reasoning.
-Choose a...

Question 6

Use logic to solve the problem.
-How much dirt is there in a hole 10 feet wide by 2 feet long by 7 feet deep?

Accepted Answer

A)  None 
B)  $70 \mathrm { ft } ^ { 3 }$ 
C)  $140 \mathrm { ft } ^ { 3 }$ 
D)  $20 \mathrm { ft } ^ { 3 }$ 
A)  None 
B)  $70 \mathrm { ft } ^ { 3 }$ 
C)  $140 \mathrm { ft } ^ { 3 }$ 
D)  $20 \mathrm { ft } ^ { 3 }$

Question 7

Determine the most probable next term in the sequence.
-6, -24, 96, -384, 1536

Accepted Answer

A) -2688 
B) 6144 
C) -6144 
D) 2688 
A) -2688 
B) 6144 
C) -6144 
D) 2688

Question 8

Solve the problem using inductive reasoning.
-Write the next three "triangular" figurate numbers.

Accepted Answer

The answer of Solve the problem using inductive reasoning.
-Write the...

Question 9

Solve the problem using inductive reasoning.
-How many rectangles are there in the last two figures?

Accepted Answer

None

Question 10

A farmer had a stone weighing 40 pounds that he used to weigh pigs, but the stone broke into 4 pieces. The farmer found to his surprise that with the four pieces, he could weigh any whole
Number from 1 to 40. What did each of the 4 pieces weigh?

Accepted Answer

A) 1, 4, 8, and 27 lb 
B) 1, 3, 9, and 27 lb 
C) 1, 3, 7, and 29 lb 
D) 1, 4, 9, and 26 lb 
A) 1, 4, 8, and 27 lb 
B) 1, 3, 9, and 27 lb 
C) 1, 3, 7, and 29 lb 
D) 1, 4, 9, and 26 lb

Question 11

Use this graph to answer the question.  
-What were the total sales for 2010?

Accepted Answer

A) $72,000 
B) $764,000 
C) $578,000 
D) $60,000 
A) $72,000 
B) $764,000 
C) $578,000 
D) $60,000

Question 12

Solve the problem.
-If you raise 9 to the 387th power, what is the units digit of the result?

Accepted Answer

A) 9 
B) 7 
C) 6 
D) 1 
A) 9 
B) 7 
C) 6 
D) 1

Question 13

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true.
-$71 ^ { 1 } ; ( - 3 ) ^ { 1 } ; 0.789 ^ { 1 } ; ( - 192 ) ^ { 1 } ; 0 ^ { 1 }$

Accepted Answer

A) Raising a number to a power of 1 changes the sign of the number. 
B) Raising a number to a power of 1 gives a result of 0. 
C) Raising a number to a power of 1 gives a result of 1. 
D) Raising a number to a power of 1 leaves the number unchanged 
A) Raising a number to a power of 1 changes the sign of the number. 
B) Raising a number to a power of 1 gives a result of 0. 
C) Raising a number to a power of 1 gives a result of 1. 
D) Raising a number to a power of 1 leaves the number unchanged

Question 14

In a school survey, students showed these preferences for instructional materials. Answer the question.  
-About how many students would you expect to prefer films in a school of 750 students?

Accepted Answer

A) About 135 students 
B) About 150 students 
C) About 20 students 
D) About 90 students 
A) About 135 students 
B) About 150 students 
C) About 20 students 
D) About 90 students

Question 15

Find a pattern and use it to solve the problem.
-Find the next term: 1, 1, 2, 3, 5, 8, 13

Accepted Answer

A) 16 
B) 21 
C) 15 
D) 18 
A) 16 
B) 21 
C) 15 
D) 18

Question 16

In a school survey, students showed these preferences for instructional materials. Answer the question.  
-About how many students would you expect to prefer radio in a school of 450 students?

Accepted Answer

A) About 5 students 
B) About 23 students 
C) About 81 students 
D) About 162 students 
A) About 5 students 
B) About 23 students 
C) About 81 students 
D) About 162 students

Question 17

Solve the problem.
-Jake's birth date in numbers (month-day-year)is a 6-digit palindrome, say ab-cd-ef, satisfying these conditions:
 $a + b \neq c + d ; b + e = ( c + d ) + 10$
he was born later than 1958;
had he been born 1 month later, his birthday would fall on the same day as his mother's birthday; his mother was born on an even numbered day after the 16 th of the month; in the year 2023 , Jake will be in his 50 's.
On what month and day was his mother born?

Accepted Answer

A)  July $22 n d$ 
B)  June 20th 
C)  September 24th 
D)  August 22nd 
A)  July $22 n d$ 
B)  June 20th 
C)  September 24th 
D)  August 22nd

Question 18

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.  
-Which two majors are the most popular?

Accepted Answer

A) Math and history 
B) English and history 
C) Math and science 
D) Science and other 
A) Math and history 
B) English and history 
C) Math and science 
D) Science and other

Question 19

Determine the indicated term in the given sequence.
-The 7th term of 5 , 15 , 45 , . . .

Accepted Answer

A) 10,935 
B) 32,805 
C) 3645 
D) 729 
A) 10,935 
B) 32,805 
C) 3645 
D) 729

Question 20

Use the appropriate formula to find the indicated figurate number.
-the 6th triangular number

Accepted Answer

A)  $\mathrm { T } _ { 6 } = 18$ 
B)  $\mathrm { T } _ { 6 } = 15$ 
C)  $\mathrm { T } _ { 6 } = 42$ 
D)  $\mathrm { T } _ { 6 } = 21$ 
A)  $\mathrm { T } _ { 6 } = 18$ 
B)  $\mathrm { T } _ { 6 } = 15$ 
C)  $\mathrm { T } _ { 6 } = 42$ 
D)  $\mathrm { T } _ { 6 } = 21$

Determine the most probable next term in the sequence. -2, 5, 4, 10, 8, 20

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 33, 34, 35, 36, 37, 38, 39, 40, and 41 once. 38 37 35 34 41

Use problem solving strategies to solve the problem. -Steve is older than Donna but younger than Brenda. Kelly is younger than Brandon. What is the first letter in the name of the oldest person?

Solve the problem. -If you raise 4 to the 214th power, what is the units digit of the result?

Use logic to solve the problem. -How much dirt is there in a hole 10 feet wide by 2 feet long by 7 feet deep?

Determine the most probable next term in the sequence. -6, -24, 96, -384, 1536

Solve the problem using inductive reasoning. -Write the next three "triangular" figurate numbers.

Solve the problem using inductive reasoning. -How many rectangles are there in the last two figures?

A farmer had a stone weighing 40 pounds that he used to weigh pigs, but the stone broke into 4 pieces. The farmer found to his surprise that with the four pieces, he could weigh any whole Number from 1 to 40. What did each of the 4 pieces weigh?

Use this graph to answer the question. -What were the total sales for 2010?

Solve the problem. -If you raise 9 to the 387th power, what is the units digit of the result?

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true. - $71 ^ { 1 } ; ( - 3 ) ^ { 1 } ; 0.789 ^ { 1 } ; ( - 192 ) ^ { 1 } ; 0 ^ { 1 }$

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer films in a school of 750 students?

Find a pattern and use it to solve the problem. -Find the next term: 1, 1, 2, 3, 5, 8, 13

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer radio in a school of 450 students?

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question. -Which two majors are the most popular?

Determine the indicated term in the given sequence. -The 7th term of 5 , 15 , 45 , . . .

Use the appropriate formula to find the indicated figurate number. -the 6th triangular number

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