Question 1

Determine the indicated term in the given sequence.
-The 16 th term of $\frac { 2 } { 5 } , \frac { 7 } { 10 } , 1 , \ldots$

Accepted Answer

A)  4 
B)  $\frac { 43 } { 10 }$ 
C)  $\frac { 23 } { 5 }$ 
D)  $\frac { 49 } { 10 }$ 
A)  4 
B)  $\frac { 43 } { 10 }$ 
C)  $\frac { 23 } { 5 }$ 
D)  $\frac { 49 } { 10 }$

Question 2

Use the appropriate formula to find the indicated figurate number.
-the 8th heptagonal number

Accepted Answer

A)  $\mathrm { Hp } _{8} { = } = 172$ 
B)  $\mathrm { Hp } _ { 8 } = 8.8$ 
C)  $\operatorname { Hp8 } = 148$ 
D)  $\mathrm { Hp } = 160$ 
A)  $\mathrm { Hp } _{8} { = } = 172$ 
B)  $\mathrm { Hp } _ { 8 } = 8.8$ 
C)  $\operatorname { Hp8 } = 148$ 
D)  $\mathrm { Hp } = 160$

Question 3

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.  
-Which two majors combined account for more than half of the total number of students in the College of Arts and Sciences?

Accepted Answer

A) English and math 
B) History and English 
C) History and math 
D) English and other 
A) English and math 
B) History and English 
C) History and math 
D) English and other

Question 4

Solve the problem using inductive reasoning.
-When the numbers in the sequence of n-agonal numbers are divided by n, the sequence of remainders obtained is a repeating sequence. Verify this for n = 7 and find the repeating sequence of remainders.

Accepted Answer

The pattern is 1, 0,

Question 5

Determine the most probable next term in the sequence.
-$1 , - \frac { 1 } { 4 } , \frac { 1 } { 16 } , - \frac { 1 } { 64 } , \frac { 1 } { 256 }$

Accepted Answer

A)  $\frac { 1 } { 4096 }$ 
B)  $- \frac { 1 } { 1024 }$ 
C)  $\frac { 1 } { 1024 }$ 
D)  $- \frac { 1 } { 4096 }$ 
A)  $\frac { 1 } { 4096 }$ 
B)  $- \frac { 1 } { 1024 }$ 
C)  $\frac { 1 } { 1024 }$ 
D)  $- \frac { 1 } { 4096 }$

Question 6

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display.
-7.2 - 2(10.2 ÷ 2 + 5)

Accepted Answer

A) -6.14 
B) 34.6 
C) -13 
D) 7.00 
A) -6.14 
B) 34.6 
C) -13 
D) 7.00

Question 7

Use inductive reasoning to predict the next equation.
-10 × 12 = 11 × 13 - 23 
12 × 14 = 13 × 15 - 27

Accepted Answer

A) 14 × 16 = 17 × 27 - 31 
B) 14 × 16 = 15 × 17 + 29 
C) 14 × 16 = 15 × 17 - 31 
D) 14 × 16 = 15 × 17 - 29 
A) 14 × 16 = 17 × 27 - 31 
B) 14 × 16 = 15 × 17 + 29 
C) 14 × 16 = 15 × 17 - 31 
D) 14 × 16 = 15 × 17 - 29

Question 8

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

Accepted Answer

A)  $\mathrm { P } _ { 6 } = 21$ 
B)  $\mathrm { P } _ { 6 } = 36$ 
C)  $\mathrm { P } _ { 6 } = 57$ 
D)  $\mathrm { P } _ { 6 } = 51$ 
A)  $\mathrm { P } _ { 6 } = 21$ 
B)  $\mathrm { P } _ { 6 } = 36$ 
C)  $\mathrm { P } _ { 6 } = 57$ 
D)  $\mathrm { P } _ { 6 } = 51$

Question 9

Solve the problem.
-six painters can paint three rooms in 4 hours. How many rooms can a painter paint in 1 hour?

Accepted Answer

A)  $\frac { 1 } { 2 }$ of a room 
B)  $\frac { 2 } { 9 }$ of a room 
C)  $\frac { 1 } { 8 }$ of a room 
D)  12 rooms 
A)  $\frac { 1 } { 2 }$ of a room 
B)  $\frac { 2 } { 9 }$ of a room 
C)  $\frac { 1 } { 8 }$ of a room 
D)  12 rooms

Question 10

Decide whether the argument is an example of inductive or deductive reasoning.
-All U.S. Presidents have come from the original 48 states. Therefore, no U.S. President can be from Alaska.

Accepted Answer

A) Deductive 
B) Inductive 
A) Deductive 
B) Inductive

Question 11

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display.
-8.7 + (12.8 - 7.1)× 5.1

Accepted Answer

A) 37.77 
B) 66.88 
C) 73.44 
D) 8.10 
A) 37.77 
B) 66.88 
C) 73.44 
D) 8.10

Question 12

Give the appropriate counting number answer to the problem.
-Jane runs 53 miles a day. Without finding the exact answer, estimate the total number of miles Jane runs in 28 days.

Accepted Answer

A) 1800 
B) 600 
C) 1000 
D) 1500 
A) 1800 
B) 600 
C) 1000 
D) 1500

Question 13

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence.
-224, 112, 56, 28, 14, . . .

Accepted Answer

A) neither 
B) geometric; 7 
C) arithmetic; 7 
A) neither 
B) geometric; 7 
C) arithmetic; 7

Question 14

Use this graph to answer the question.  
-What were the total sales for 2009?

Accepted Answer

A) $50,000 
B) $582,000 
C) $48,000 
D) $764,000 
A) $50,000 
B) $582,000 
C) $48,000 
D) $764,000

Question 15

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true.
-$\sqrt [ 3 ] { - 7 } ; \sqrt [ 5 ] { - 10 } ; \sqrt [ 7 ] { - 200 } ; \sqrt [ 9 ] { - 0.28 }$

Accepted Answer

A) An odd root of a negative number can be either positive or negative. 
B) An odd root of a negative number is positive. 
C) An odd root of a negative number is negative. 
D) An odd root of a negative number is undefined. 
A) An odd root of a negative number can be either positive or negative. 
B) An odd root of a negative number is positive. 
C) An odd root of a negative number is negative. 
D) An odd root of a negative number is undefined.

Question 16

Determine the most probable next term in the sequence.
-486, 162, 54, 18, 6

Accepted Answer

A)  1 
B)  $\frac { 2 } { 3 }$ 
C)  2 
D)  3 
A)  1 
B)  $\frac { 2 } { 3 }$ 
C)  2 
D)  3

Question 17

If the hometown baseball team scored 3 runs every inning played, and the visiting team scored 1 run every inning played, what was the final score?

Accepted Answer

A)  Home: 24
Visitors: 9 
B)  Home: 27
Visitors: 8 
C)  Home: 0
Visitors: 0 
D)  Home: 27
Visitors: 9 
A)  Home: 24
Visitors: 9 
B)  Home: 27
Visitors: 8 
C)  Home: 0
Visitors: 0 
D)  Home: 27
Visitors: 9

Question 18

In a school survey, students showed these preferences for instructional materials. Answer the question.  
-About how many students would you expect to prefer TV in a school of 850 students?

Accepted Answer

A) About 102 students 
B) About 170 students 
C) About 153 students 
D) About 12 students 
A) About 102 students 
B) About 170 students 
C) About 153 students 
D) About 12 students

Question 19

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.  
-Which two majors show the greatest difference in numbers of students?

Accepted Answer

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

Question 20

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

Accepted Answer

A)  14 
B)  9 
C)  15 
D)  10 
A)  14 
B)  9 
C)  15 
D)  10

Determine the indicated term in the given sequence. -The 16 th term of $\frac { 2 } { 5 } , \frac { 7 } { 10 } , 1 , \ldots$

Use the appropriate formula to find the indicated figurate number. -the 8th heptagonal number

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question. -Which two majors combined account for more than half of the total number of students in the College of Arts and Sciences?

Solve the problem using inductive reasoning. -When the numbers in the sequence of n-agonal numbers are divided by n, the sequence of remainders obtained is a repeating sequence. Verify this for n = 7 and find the repeating sequence of remainders.

Determine the most probable next term in the sequence. - $1 , - \frac { 1 } { 4 } , \frac { 1 } { 16 } , - \frac { 1 } { 64 } , \frac { 1 } { 256 }$

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. -7.2 - 2(10.2 ÷ 2 + 5)

Use inductive reasoning to predict the next equation. -10 × 12 = 11 × 13 - 23 12 × 14 = 13 × 15 - 27

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

Solve the problem. -six painters can paint three rooms in 4 hours. How many rooms can a painter paint in 1 hour?

Decide whether the argument is an example of inductive or deductive reasoning. -All U.S. Presidents have come from the original 48 states. Therefore, no U.S. President can be from Alaska.

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. -8.7 + (12.8 - 7.1)× 5.1

Give the appropriate counting number answer to the problem. -Jane runs 53 miles a day. Without finding the exact answer, estimate the total number of miles Jane runs in 28 days.

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. -224, 112, 56, 28, 14, . . .

Use this graph to answer the question. -What were the total sales for 2009?

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true. - $\sqrt [ 3 ] { - 7 } ; \sqrt [ 5 ] { - 10 } ; \sqrt [ 7 ] { - 200 } ; \sqrt [ 9 ] { - 0.28 }$

Determine the most probable next term in the sequence. -486, 162, 54, 18, 6

If the hometown baseball team scored 3 runs every inning played, and the visiting team scored 1 run every inning played, what was the final score?

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer TV in a school of 850 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 show the greatest difference in numbers of students?

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

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

Determine the indicated term in the given sequence. -The 16 th term of 25,710,1,…\frac { 2 } { 5 } , \frac { 7 } { 10 } , 1 , \ldots52​,107​,1,…

Use the appropriate formula to find the indicated figurate number. -the 8th heptagonal number

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question. -Which two majors combined account for more than half of the total number of students in the College of Arts and Sciences?

Solve the problem using inductive reasoning. -When the numbers in the sequence of n-agonal numbers are divided by n, the sequence of remainders obtained is a repeating sequence. Verify this for n = 7 and find the repeating sequence of remainders.

Determine the most probable next term in the sequence. - 1,−14,116,−164,12561 , - \frac { 1 } { 4 } , \frac { 1 } { 16 } , - \frac { 1 } { 64 } , \frac { 1 } { 256 }1,−41​,161​,−641​,2561​

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. -7.2 - 2(10.2 ÷ 2 + 5)

Use inductive reasoning to predict the next equation. -10 × 12 = 11 × 13 - 23 12 × 14 = 13 × 15 - 27

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

Solve the problem. -six painters can paint three rooms in 4 hours. How many rooms can a painter paint in 1 hour?

Decide whether the argument is an example of inductive or deductive reasoning. -All U.S. Presidents have come from the original 48 states. Therefore, no U.S. President can be from Alaska.

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. -8.7 + (12.8 - 7.1)× 5.1

Give the appropriate counting number answer to the problem. -Jane runs 53 miles a day. Without finding the exact answer, estimate the total number of miles Jane runs in 28 days.

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. -224, 112, 56, 28, 14, . . .

Use this graph to answer the question. -What were the total sales for 2009?

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true. - −73;−105;−2007;−0.289\sqrt [ 3 ] { - 7 } ; \sqrt [ 5 ] { - 10 } ; \sqrt [ 7 ] { - 200 } ; \sqrt [ 9 ] { - 0.28 }3−7​;5−10​;7−200​;9−0.28​

Determine the most probable next term in the sequence. -486, 162, 54, 18, 6

If the hometown baseball team scored 3 runs every inning played, and the visiting team scored 1 run every inning played, what was the final score?

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer TV in a school of 850 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 show the greatest difference in numbers of students?

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

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

Determine the indicated term in the given sequence. -The 16 th term of $\frac { 2 } { 5 } , \frac { 7 } { 10 } , 1 , \ldots$

Determine the most probable next term in the sequence. - $1 , - \frac { 1 } { 4 } , \frac { 1 } { 16 } , - \frac { 1 } { 64 } , \frac { 1 } { 256 }$

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true. - $\sqrt [ 3 ] { - 7 } ; \sqrt [ 5 ] { - 10 } ; \sqrt [ 7 ] { - 200 } ; \sqrt [ 9 ] { - 0.28 }$