Deck 1: Critical Thinking Skills

Question 1

Use inductive reasoning to predict the next line in the pattern.
30 - 9 = 21
300 - 89 = 211
3000 - 789 = 2211

A) 30,000 - 6789 = 293,211
B) 30,000 - 6789 = 23,211
C) 300,000 - 6789 = 23,211
D) 3000 - 6789 = 23,211

Answer 1

B

Question 2

Draw the next figure in the pattern.

Answer 2

C

Question 3

Use inductive reasoning to predict the next number in the sequence.
0, 5, 5, 0, -5, ...

A) 0
B) -5C)10D)5

Answer 3

B

Question 4

Draw the next figure in the pattern.

Question 5

Use inductive reasoning to predict the next line in the pattern.
18 + 81 = 99
19 + 91 = 110

A) 88 + 33 = 121
B) 101 + 20 = 121
C) 20 + 101 = 121
D) 20 + 101 = 162

Question 6

Draw the next figure in the pattern.

Question 7

Use inductive reasoning to predict the next number in the sequence.

Question 8

Draw the next figure in the pattern.

Question 9

Use inductive reasoning to predict the next line in the pattern.

A) 10 × 12 = 11 × 13 - 23
B) 10 × 12 = 11 × 13 - 21
C) 10 × 12 = 11 × 13 + 21
D) 10 × 12 = 13 × 19 - 23

Question 10

Use inductive reasoning to predict the next number in the sequence.
4, -20, 100, -500, 2500

A) 12,500
B) -12,500
C) -4500
D) 4500

Question 11

Draw the next figure in the pattern.

Question 12

Draw the next figure in the pattern.

Question 13

Use inductive reasoning to predict the next line in the pattern.

A) 3333 × 3333 = 112,889
B) 333 × 3333 = 11,108,889
C) 3333 × 3333 = 111,889
D) 3333 × 3333 = 11,108,889

Question 14

Use inductive reasoning to predict the next number in the sequence.
6, 8, 10, 12, 14

A) 16
B) 18
C) 15
D) 20

Question 15

Use inductive reasoning to predict the next line in the pattern.

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 16

Use inductive reasoning to predict the next line in the pattern.

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

Question 17

Use inductive reasoning to predict the next number in the sequence.
29, 24, 19, 14, 9

A) 2
B) 5
C) 0
D) 4

Question 18

Draw the next figure in the pattern.

Question 19

Use inductive reasoning to predict the next line in the pattern.

A) 11 × 12 = 13 × 14 - (9 + 10 + 11 + 12 + 13 + 14)
B) 12 × 13 = 14 × 15 - (12 + 13 + 14 + 15)
C) 11 × 12 = 13 × 14 - (11 + 12 + 13 + 14)
D) 12 × 13 = 14 × 15 - (11 + 10 + 9 + 8)

Question 20

Use inductive reasoning to predict the next number in the sequence.
2, 5, 4, 10, 8, 20, ...

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

Question 21

Solve the problem using inductive reasoning.
How many triangles are in the next figure?

A) 16
B) 18
C) 36
D) 12

Question 22

Solve the problem.
Estimate the answer by rounding each number to the nearest hundred.
871 - 224

A) 600
B) 1100
C) 700
D) 647

Question 23

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

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

Question 24

Solve the problem using inductive reasoning.
Find the 18th square number that corresponds to the following dot sequence.

Question 25

Solve the problem.
Estimate the answer by rounding the first number to the nearest hundred and the second number
To the nearest thousand.
131 × 2854

A) 200,000
B) 300,000
C) 400,000
D) 60,000

Question 26

Solve the problem.
Estimate the answer by rounding the first number to the nearest ten thousand and the second
Number to the nearest hundred.

A) 1300
B) 130
C) 1400
D) 140

Question 27

Solve the problem using inductive reasoning.
Find the next term in the following sequence.
T, F, S, E, T, T, F

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

Question 28

Solve the problem.
Estimate the answer by rounding each number to the nearest ten.
54 - 35

A) 10
B) 20
C) 19
D) 90

Question 29

Solve the problem using inductive reasoning.
In how many ways can you exactly cover the last two diagrams with ʺdominoesʺ that are
just the size of two small squares?

Question 30

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

Question 31

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

Question 32

Solve the problem using inductive reasoning.
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.
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.

Question 33

Solve the problem using inductive reasoning.
How many line segments are determined by joining dots on the last two circles?

Question 34

Solve the problem using inductive reasoning.
The following graph shows the average monthly cost for satellite television for each year from
2005 through 2012. Assuming the trend continues, use the graph to predict the average monthly
Cost for satellite TV in 2013.

A) $42
B) $68
C) $48
D) $58

Question 35

Solve the problem.
Estimate the answer by rounding the first number to the nearest ten thousand and the second
Number to the nearest hundred.
53,130 ÷ 469

A) 1000
B) 100
C) 900
D) 90

Question 36

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

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

Question 37

Solve the problem.
Estimate the answer by rounding each number to the nearest hundred.
738 + 766 + 567 + 991 + 886

A) 3900
B) 3950
C) 3948
D) 4000

Question 38

Solve the problem.
Estimate the answer by rounding each number to the nearest ten.
99 + 51 + 55 + 92 + 65

A) 400
B) 370
C) 362
D) 360

Question 39

Solve the problem.
Estimate the answer by rounding each number to the nearest hundred.
943 - 672

A) 271
B) 200
C) 270
D) 300

Question 40

Solve the problem using inductive reasoning.
Find the 6th triangular number that corresponds to the following dot sequence.

Question 41

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?

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

Question 42

Estimate the answer to the problem.
Davidʹs company has to ship 3082 boxes of sprinklers. If a truck can hold 550 boxes, how many
Trucks does he need to ship all the boxes?

A) 4 trucks
B) 5 trucks
C) 6 trucks
D) 7 trucks

Question 43

Estimate the answer to the problem.
The profit earnings for ABC company are reported quarterly. The earnings as a percentage of the
Yearly earnings for 2012 are shown in the pie chart. If the total earnings for the year were $430,000,
What were the earnings for the third quarter?

A) $107,500
B) $172,000
C) $215,000
D) $86,000

Question 44

Estimate the answer to the problem.
An appliance store sells 46 refrigerators a week. Without finding the exact amount, calculate the
Total amount of money the store makes in a week if each refrigerator costs $739.

A) $28,000
B) $32,000
C) $40,000
D) $35,000

Question 45

Estimate the answer to the problem.
Each gallon of porch and deck paint covers 200 square feet. How many gallons are needed to cover
1557 square feet?

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

Question 46

Estimate the answer to the problem.
A mobile library has 1078 books in its collection. If there are 22 shelves in the library, then how
Many books, on average, are stacked on each shelf?

A) 60 books
B) 46 books
C) 50 books
D) 55 books

Question 47

Estimate the answer to the problem.
A particular freight elevator can safely carry 862 pounds. How many 160-pound bundles of wood
Can be safely carried by this elevator?

A) 5 bundles
B) 4 bundles
C) 6 bundles
D) 7 bundles

Question 48

Estimate the answer to the problem.
The number of calories in different food items are given below. If Jeanne had a serving of salad and
Two slices of bread for lunch, what was her calorie intake?

A) 190 calories
B) 130 calories
C) 95 calories
D) 155 calories

Question 49

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?

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

Question 50

Estimate the answer to the problem.
Each gallon of shingle stain covers 120 square feet. How many gallons should you buy to cover 445
Square feet?

A) 3 gal
B) 2 gal
C) 5 gal
D) 4 gal

Question 51

Estimate the answer to the problem.
A retail chain has three stores that are carrying various sizes of a particular dress. The number of
Pieces of each size that a store has is shown in the graph below. If Store 1 sold 35 pieces of the large
(L) size, how many does it still have?

A) 165 pieces
B) 115 pieces
C) 85 pieces
D) 1140 pieces

Question 52

Estimate the answer to the problem.
Jane runs 32 miles a day. Without finding the exact answer, estimate the total number of miles Jane
Runs in 18 days.

A) 300 mi
B) 600 mi
C) 800 mi
D) 200 mi

Question 53

Estimate the answer to the problem.
A retail store has items such that they fall under the categories of clothes, housewares, jewelry, and
Other. The percentage floor space allocated for displaying each category of items is shown in the
Pie chart. If the floor space allocated to clothes is 22,000 ft2, what is the floor space allocated to
Jewelry?

A) 44,000 ft2
B) 11,000 ft2
C) 66,000 ft2
D) 5500 ft2

Question 54

Estimate the answer to the problem.
The profit earnings for XYZ company are reported quarterly. The earnings as a percentage of the
Yearly earnings for 2012 are shown in the pie chart. If the earnings in the first quarter were $55,000,
What were the earnings for the whole year?

A) $110,000
B) $220,000
C) $275,000
D) $27,500

Question 55

Estimate the answer to the problem.
The number of students at Alder High School who studied foreign languages in different years is
Shown in the bar graph. What is the total number of students who studied a foreign language in
2012? (Assume no student studied two foreign languages).

A) 170 students
B) 150 students
C) 90 students
D) 130 students

Question 56

Estimate the answer to the problem.
The graph shows the average monthly cost of a wireless phone service for the years 2005 through
2012. Estimate the average monthly cost of this wireless phone service in 2005.

A) $25
B) $30
C) $35
D) $40

Question 57

Estimate the answer to the problem.
Jamesʹ drive from home to work is 30.5 miles one way. If in a month he goes to work 19 days, then
How many miles does he drive going from home to work and back in one month?

A) 1200 mi
B) 1500 mi
C) 900 mi
D) 1750 mi

Question 58

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?

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

Question 59

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.

Question 60

Estimate the answer to the problem.
Ingred is planning a vacation to Colorado. Her round-trip airfare from Chicago, Illinois, to
Denver, Colorado, totals $154. Car rental is $56 per day and her hotel is a total of $94 per day, and
She estimates a total of $50 per day for food, gas, and miscellaneous items. If Ingred is planning on
Staying five full days and nights, estimate her total expenses.

A) $1150
B) $1500
C) $1210
D) $350

Question 61

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.

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

Question 62

Solve the problem.
A small farm field is a square measuring 320 ft on a side. What is the perimeter of the field? If you
Double the length of each side of the field, what is the new perimeter?

A) 320 ft, 1280 ft
B) 640 ft, 2560 ft
C) 640 ft, 1280 ft
D) 1280 ft, 2560 ft

Question 63

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

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

Question 64

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

A) 9
B) 10
C) 12
D) 14

Question 65

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

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

Question 66

Solve the problem.
Estimate the maximum number of smaller figures (at left) that can be placed in the larger figure (at
Right) without the small figures overlapping.

A) 17
B) 20
C) 15
D) 24

Question 67

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?

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

Question 68

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

A) 15
B) 19
C) 16
D) 13

Question 69

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?

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

Question 70

Solve the problem.
An airport parking lot charges $5.00 for the first two hours of parking and $0.75 for each additional
Half hour or part thereof. If Sam parks his car for 8 hours, how much does he pay for parking?

A) $9.50
B) $12.00
C) $9.00
D) $14.00

Question 71

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?

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

Question 72

Solve the problem.
An electric pole 15 ft high casts a shadow that is 7.5 ft long. What is the length of the shadow of a
22-ft pole?

A) 2 ft
B) 14 ft
C) 11 ft
D) 8 ft

Question 73

Solve the problem.
The cost of gasoline is $3.92 per gallon. Janeʹs car gives a mileage of 37 miles per gallon.
Approximately how much did Jane pay for gasoline for a trip of 556 miles?

A) $58.91
B) $66.64
C) $74.48
D) $54.88

Question 74

Solve the problem.
One gallon of a driveway sealant covers an area of 190 ft2. How many gallons of the sealant are
Needed to cover a 950 ft2 driveway?

A) 8 gal
B) 7 gal
C) 2 gal
D) 5 gal

Question 75

Solve the problem.
A rectangle has area of 600 square meters. Its length and width are whole numbers. Which
Measurements give the smallest perimeter?

A) 5 m by 120 mB)1 m by 600 mC)20m by 30 mD)6 m by 100 m

Question 76

Solve the problem.
A boxer takes 3 drinks of water between each round for the first four rounds of a championship
Fight. After the fourth round he starts to take his three drinks plus one additional drink between
Each of the remaining rounds. If he continues to increase his drinks by 1 after each round, how
Many drinks will he take between the 14th and 15th round?

A) 10 drinks
B) 16 drinks
C) 12 drinks
D) 14 drinks

Question 77

Solve the problem.
Missy and Karl work at different jobs. Missy earns $5 per hour and Karl earns $4 per hour. They
Each earn the same amount per week but Karl works 2 more hours. How many hours a week does
Karl work?

A) 8 hr
B) 10 hr
C) 12 hr
D) 14 hr

Question 78

Solve the problem.
To make orange juice from concentrate powder, you need to mix 1.5 teaspoons of the concentrate
In 8 ounces of water. How much concentrate powder do you need for 1 gallon of water?

A) 3 teaspoons
B) 12 teaspoons
C) 24 teaspoons
D) 7.5 teaspoons

Question 79

Solve the problem.
Estimate the percent of area that is shaded in the following figure.

A) 25%
B) 50%
C) 80%
D) 40%

Question 80

Solve the problem.
Jill took five courses this semester, each for four credit hours. She received a B (3 points), a B+ (3.5
Points), an A (4 points), and a B+ (3.5 points) in four of the courses. If her GPA is 3.4, what was her
Grade in the fifth course?

A) B (3 points)
B) D (1 point)
C) B+ (3.5 points)
D) C+ (2.5 points)