Question 1

Use inductive reasoning to predict the next line in the pattern.
-$$\begin{array} { l } 
( 5 \times 1 ) \times ( 2 \times 1 ) = 10 \
( 5 \times 10 ) \times ( 2 \times 2 ) = 200 \
( 5 \times 100 ) \times ( 2 \times 3 ) = 3000
\end{array}$$

Accepted Answer

A)  (5 × 1000) × (2 × 4) = 35,000 
B)  (5 × 1000) × (2 × 4) = 45,000 
C)  (5 × 1000) × (2 × 4) = 4000 
D)  (5 × 1000) × (2 × 4) = 40,000 
A)  (5 × 1000) × (2 × 4) = 35,000 
B)  (5 × 1000) × (2 × 4) = 45,000 
C)  (5 × 1000) × (2 × 4) = 4000 
D)  (5 × 1000) × (2 × 4) = 40,000

Question 2

Estimate the answer to the problem.
-The probability of finding apples, oranges, and pears in each of baskets A, B, C, D, and E is shown In the graph given below. What is the probability of finding oranges in one of the baskets A, B, or C?

Accepted Answer

A)  None 
B)  1 
C)  0.72 
D)  0.70 
A)  None 
B)  1 
C)  0.72 
D)  0.70

Question 3

Use the table or graph to answer the question.
-Amy graphed her utility bills for the last year for her records. Estimate the total amount Amy paid For her utilities for the month of January.

Accepted Answer

A)  $125 
B)  $85 
C)  $75 
D)  $105 
A)  $125 
B)  $85 
C)  $75 
D)  $105

Question 4

Solve the problem.
-Below is a map of a trail through a forest preserve. Using the scale on the map, estimate the distance of the route starting at the fishing dock and ending at the ranger station.

Accepted Answer

A)  $\approx 32 \mathrm {~km}$ 
B)  $\approx 28 \mathrm {~km}$ 
C)  $\approx 16 \mathrm {~km}$ 
D)  $\approx 20 \mathrm {~km}$ 
A)  $\approx 32 \mathrm {~km}$ 
B)  $\approx 28 \mathrm {~km}$ 
C)  $\approx 16 \mathrm {~km}$ 
D)  $\approx 20 \mathrm {~km}$

Question 5

Use the table or graph to answer the question.
-The number of vacation days a company provides for its employees depends on the number of Years of service as shown in the following table: $$\begin{array} { l | c c c c } 
\text { Number of years of service } & 1 & 1 - 5 & 5 - 10 & 10 \text { or more } \
\hline \text { Number of vacation days } & 6 & 8 & 14 & 19
\end{array}$$
If Jack took 15 vacation days last year, what is the minimum number of years he must have Worked for the company?

Accepted Answer

A)  10 
B)  11 
C)  9 
D)  8 
A)  10 
B)  11 
C)  9 
D)  8

Question 6

Solve the problem.
-How many cubes (of any size) are there in the figure?

Accepted Answer

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

Question 7

Solve the problem.
-Margaret is saving $27 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $706. What is the minimum number of weeks she will have to save to be able to Buy the bracelet?

Accepted Answer

A)  25 weeks 
B)  26 weeks 
C)  27 weeks 
D)  28 weeks 
A)  25 weeks 
B)  26 weeks 
C)  27 weeks 
D)  28 weeks

Question 8

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

Question 9

Find the number of games played in a round robin tournament for the given numbers of teams. In a round robin tournament every team plays every other team once. $$\begin{array} { r | r } 
\text { Number of teams } & \text { Number of games played } \
\hline 3 \text { teams } & 3 \text { games } \
4 \text { teams } & 6 \text { games } \
5 \text { teams } & 10 \text { games } \
6 \text { teams } & - \text { games } \
7 \text { teams } & \text { - games }
\end{array}$$ 
Look for a pattern. Find the number of games played in a round robin tournament involving n teams. Find the number of games played in a round robin tournament involving 19 teams.

Accepted Answer

6 teams: @#LAT-DLM& games
7 te

Question 10

Use the table or graph to answer the question.
-Company MRK declared profits of $3,000,000 for the year 2012. The profits were from its three Groups (research, product, and consulting) as shown in the pie chart. The profits from the product Group were further categorized as shown in the second pie chart. How much was the profit from
Appliances?

Accepted Answer

A)  $360,000 
B)  $600,000 
C)  $900,000 
D)  $450,000 
A)  $360,000 
B)  $600,000 
C)  $900,000 
D)  $450,000

Question 11

Solve the problem using inductive reasoning.
-Find the next term in the following sequence of days of the week.
S, S, M, T, W

Accepted Answer

A)  T 
B)  S 
C)  F 
D)  M 
A)  T 
B)  S 
C)  F 
D)  M

Question 12

Estimate the answer to the problem.
-In a shop that sells a variety of nuts, the prices of some items are as given below. If Sarah buys 2 lb of cashews, 1 lb of walnuts, and 2 lb of raisins, how much did she have to pay? $$\begin{array} { l | c } 
\text { Item } & \text { Cost/lb } \
\hline \text { Almonds } & \$ 4.50 \
\text { Walnuts } & \$ 3.90 \
\text { Cashews } & \$ 4.90 \
\text { Pecans } & \$ 3.70 \
\text { Raisins } & \$ 3.10
\end{array}$$

Accepted Answer

A)  $19.90 
B)  $16.00 
C)  $26.90 
D)  $23.80 
A)  $19.90 
B)  $16.00 
C)  $26.90 
D)  $23.80

Question 13

How many line segments are determined by joining dots on the last two circles?

Accepted Answer

4 + 3 + 2 + 1 = 10 s

Question 14

In how many ways can you exactly cover the last two diagrams with ʺdominoesʺ that are just the size of two small squares?

Accepted Answer

The answer of In how many ways can you exactly...

Question 15

Solve the problem using inductive reasoning.
-How many line segments are used in the next figure?

Accepted Answer

A)  24 
B)  30 
C)  27 
D)  36 
A)  24 
B)  30 
C)  27 
D)  36

Question 16

Solve the problem.
-A yardstick measures $\frac { 1 } { 2 }$ by 2 by 36 inches. How many yardsticks will fit in a box 2 inches wide And 36 inches high, if the girth of the box is 24 inches?

Accepted Answer

A)  48 yardsticks 
B)  60 yardsticks 
C)  10 yardsticks 
D)  40 yardsticks 
A)  48 yardsticks 
B)  60 yardsticks 
C)  10 yardsticks 
D)  40 yardsticks

Question 17

Solve the problem.
-A telephone call from Texas, U.S.A. to Ontario, Canada costs $1.00 for the first minute and $0.53 For each additional minute. How much will a 27-minute call cost?

Accepted Answer

A)  $13.78 
B)  $14.78 
C)  $14.31 
D)  $28.56 
A)  $13.78 
B)  $14.78 
C)  $14.31 
D)  $28.56

Question 18

Solve the problem.
-The height of the antenna on top of the building, shown in the figure below, is 73 feet. Estimate the Total height of the building and antenna together.

Accepted Answer

A)  511 feet 
B)  365 feet 
C)  584 feet 
D)  438 feet 
A)  511 feet 
B)  365 feet 
C)  584 feet 
D)  438 feet

Question 19

Estimate the answer to the problem.
-One cook can make enough food for 350 people a night. How many cooks are needed to feed 2317 People a night?

Accepted Answer

A)  8 cooks 
B)  9 cooks 
C)  7 cooks 
D)  6 cooks 
A)  8 cooks 
B)  9 cooks 
C)  7 cooks 
D)  6 cooks

Question 20

Solve the problem.
-If each square represents one square unit, estimate the area of the shaded figure in square units.

Accepted Answer

A)  6 square units 
B)  7 square units 
C)  8 square units 
D)  10 square units 
A)  6 square units 
B)  7 square units 
C)  8 square units 
D)  10 square units

Use inductive reasoning to predict the next line in the pattern. - (5\times1)\times(2\times1)=10 (5\times10)\times(2\times2)=200 (5\times100)\times(2\times3)=3000

Estimate the answer to the problem. -The probability of finding apples, oranges, and pears in each of baskets A, B, C, D, and E is shown In the graph given below. What is the probability of finding oranges in one of the baskets A, B, or C?

Use the table or graph to answer the question. -Amy graphed her utility bills for the last year for her records. Estimate the total amount Amy paid For her utilities for the month of January.

Solve the problem. -Below is a map of a trail through a forest preserve. Using the scale on the map, estimate the distance of the route starting at the fishing dock and ending at the ranger station.

Solve the problem. -How many cubes (of any size) are there in the figure?

Solve the problem. -Margaret is saving $27 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $706. What is the minimum number of weeks she will have to save to be able to Buy the bracelet?

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?

Solve the problem using inductive reasoning. -Find the next term in the following sequence of days of the week. S, S, M, T, W

How many line segments are determined by joining dots on the last two circles?

In how many ways can you exactly cover the last two diagrams with ʺdominoesʺ that are just the size of two small squares?

Solve the problem using inductive reasoning. -How many line segments are used in the next figure?

Solve the problem. -A yardstick measures $\frac { 1 } { 2 }$ by 2 by 36 inches. How many yardsticks will fit in a box 2 inches wide And 36 inches high, if the girth of the box is 24 inches?

Solve the problem. -A telephone call from Texas, U.S.A. to Ontario, Canada costs $1.00 for the first minute and $0.53 For each additional minute. How much will a 27-minute call cost?

Solve the problem. -The height of the antenna on top of the building, shown in the figure below, is 73 feet. Estimate the Total height of the building and antenna together.

Estimate the answer to the problem. -One cook can make enough food for 350 people a night. How many cooks are needed to feed 2317 People a night?

Solve the problem. -If each square represents one square unit, estimate the area of the shaded figure in square units.

Sets

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Exam 1: Critical Thinking Skills

Use inductive reasoning to predict the next line in the pattern. - (5\times1)\times(2\times1)=10 (5\times10)\times(2\times2)=200 (5\times100)\times(2\times3)=3000

Estimate the answer to the problem. -The probability of finding apples, oranges, and pears in each of baskets A, B, C, D, and E is shown In the graph given below. What is the probability of finding oranges in one of the baskets A, B, or C?

Use the table or graph to answer the question. -Amy graphed her utility bills for the last year for her records. Estimate the total amount Amy paid For her utilities for the month of January.

Solve the problem. -Below is a map of a trail through a forest preserve. Using the scale on the map, estimate the distance of the route starting at the fishing dock and ending at the ranger station.

Solve the problem. -How many cubes (of any size) are there in the figure?

Solve the problem. -Margaret is saving $27 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $706. What is the minimum number of weeks she will have to save to be able to Buy the bracelet?

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?

Solve the problem using inductive reasoning. -Find the next term in the following sequence of days of the week. S, S, M, T, W

How many line segments are determined by joining dots on the last two circles?

In how many ways can you exactly cover the last two diagrams with ʺdominoesʺ that are just the size of two small squares?

Solve the problem using inductive reasoning. -How many line segments are used in the next figure?

Solve the problem. -A yardstick measures 12\frac { 1 } { 2 }21​ by 2 by 36 inches. How many yardsticks will fit in a box 2 inches wide And 36 inches high, if the girth of the box is 24 inches?

Solve the problem. -A telephone call from Texas, U.S.A. to Ontario, Canada costs $1.00 for the first minute and $0.53 For each additional minute. How much will a 27-minute call cost?

Solve the problem. -The height of the antenna on top of the building, shown in the figure below, is 73 feet. Estimate the Total height of the building and antenna together.

Estimate the answer to the problem. -One cook can make enough food for 350 people a night. How many cooks are needed to feed 2317 People a night?

Solve the problem. -If each square represents one square unit, estimate the area of the shaded figure in square units.

Sets

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Solve the problem. -A yardstick measures $\frac { 1 } { 2 }$ by 2 by 36 inches. How many yardsticks will fit in a box 2 inches wide And 36 inches high, if the girth of the box is 24 inches?