Deck 1: Problem Solving

Question 1

Use inductive reasoning to make a conjecture about a rule that relates the original number to the final
Answer. Try to prove your conjecture using deductive reasoning.
Select a number.
Add 90.
Multiply by 6.
Subtract 540.
Divide by 6.
Subtract the original number.

A)The answer is always the original number.
B)The answer is always 450.
C)The answer is always -450.
D)The answer is always 0.

Answer 1

D

Question 2

Use inductive reasoning to conjecture the rule that relates the number you selected to the final answer.
Try to prove your conjecture using deductive reasoning.
Select a number:
Multiply by 7:
Subtract 56 from the
Divide by 7:
Subtract the original number:

Answer 2

Final answer is always -8.

Question 3

Determine whether the type of reasoning used is inductive or deductive reasoning.
If a computer tech says it will cost $225 to fix my computer, it will actually cost $300. Since
A computer tech told me it would cost $225 to fix my computer, I can expect it to cost me $300.

A)deductive reasoning
B)inductive reasoning

Answer 3

A

Question 4

An item that originally cost $279.99 is on sale for 20% off. Estimate the sale price of the item.

Question 5

Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of
The final calculation, and perform the operation to see if your answer is correct.

A)555,555,510
B)444,444,444
C)666,666,666
D)555,555,555

Question 6

Round to the nearest ten.
202

Question 7

Read the following scenario and determine whether the type of reasoning used by Leanne is
inductive or deductive. Explain how you decided.
Leanne was concerned that if she continued to be late for work, she would lose her job.

Question 8

Determine whether the type of reasoning used is inductive or deductive reasoning.
Victor has already lost 3 cameras. He didn't spend a lot of money on his newest camera because he
Knows he'll eventually lose that one too.

A)inductive reasoning
B)deductive reasoning

Question 9

Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of
The final calculation, and perform the operation to see if your answer is correct.

A)111
B)
C)
D)120

Question 10

Write a counter example to show that the statement is false.
When any number is multiplied by 5 and the digits of the answer are added, the sum will be divisible by
5.

A)111 × 5 = 555; 5 + 5 + 5 = 15, which is not divisible by 5.
B)11 × 5 = 55; 5 + 5 = 10, which is divisible by 5.
C)2 × 5 = 10; 1 + 0 = 1, which is not divisible by 5.
D)10 × 5 = 50; 5 + 0 = 5, which is divisible by 5.

Question 11

Read the following scenario and determine whether the type of reasoning used by Paul is inductive
or deductive. Explain how you decided.
Paul knew that his friend, Leanne, had been late the past 8 workdays, so he didn't save a seat for
her at morning meeting.

Question 12

Round to the nearest hundredth.
2.87491

A)2.87500
B)2.88000
C)2.87400
D)2.87000

Question 13

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the
sequence.

Question 14

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the
Sequence.

A)34
B)36
C)26
D)28

Question 15

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the
Sequence.

A)39
B)45
C)41
D)43

Question 16

Estimate the total cost of the following meal at a sub shop.

Question 17

Round 560,565,131 to the nearest ten-million.

A)560,000,000
B)560,570,000
C)561,000,000
D)600,000,000

Question 18

Use deductive reasoning to arrive at a conclusion.
On Christmas Day, Japanese restaurants and ski slopes are always open, so this Christmas Day we can

A)eat Japanese food and go skiing.
B)watch football and open gifts.
C)eat Mexican food and go skiing.
D)eat fast food and go skiing.

Question 19

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the
sequence.

Question 20

Bob and Sue are celebrating their 5th wedding anniversary. Estimate the total cost of their evening based on
the prices below:
theater $63.59
dinner $76.83
drinks $17.71
taxi $13.25

Question 21

For a specific year, the average household income for selected states is shown here. Estimate the
Difference between the highest and lowest average incomes.

A)$32,000
B)$15,000
C)$40,000
D)$23,000

Question 22

A person's monthly budget includes $236 for food, $165 for gasoline, and $170 for utilities. If the
Person earns $2,406 per month, how much money is left for other expenses?

A)$2,005
B)$918
C)$1,835
D)$2,071

Question 23

Estimate the number of people living in the US in 1,900.

A)76,000,000
B)96,000,000
C)56,000,000
D)9,600,000

Question 24

One number is 21 more than another number. The sum of the numbers is 29. Find the numbers.

Question 25

The demographics of an elementary school are shown below. The school has 291 students.
Estimate the number of students who are White Non-Hispanic.

A)9,603
B)33
C)10
D)96

Question 26

Phil has 12 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $4.02 how
Many $0.37 stamps does Phil have?

A)3
B)10
C)8
D)9

Question 27

Estimate the cost to live in an apartment for 1 year if the rent is $209 per month and utilities are $64
per month.

Question 28

Jane has 15 phone cards worth either $20 or $15. How many of each does he have if the phone
Cards total $245?

A)three $20 cards and twelve $15 cards
B)eleven $20 cards and four $15 cards
C)four $20 cards and eleven $15 cards
D)seven $20 cards and seven $15 cards

Question 29

The length of a garden is double its width. There is a fence around the perimeter that measures
114 ft. What are the length and width of the garden?

A)length = 38 ft, width = 19 ft
B)length = 28.5 ft, width = 57 ft
C)length = 57 ft, width = 28.5 ft
D)length = 19 ft, width = 38 ft

Question 30

A car travels 348 miles on 5.6 gallons of gasoline. How many miles per gallon did the car get?
(Round to the nearest tenth.)

A)56.6 miles per gallon
B)64.5 miles per gallon
C)16.1 miles per gallon
D)62.1 miles per gallon

Question 31

The manager of an Internet cafe is having new counters custom-made. She wants to put 8 PCs on
Each counter with 3 feet between the PCs and 2 feet on each end. The PCs measure 18 inches wide
And 24 inches high. What length of counters should the Internet cafe have made?

A)40 ft
B)37 ft
C)38 ft
D)41 ft

Question 32

The peak rate of a phone company is per minute, and the off-peak rate is per minute. Find
the savings for a 23-minute phone call if it was made during off-peak time as opposed to peak time.

Question 33

For a specific year, the average household income for selected states is shown here. Estimate the
average household income for Ohio.

Question 34

Arrange the digits 3, 4, and 9 to form two numbers divisible by 6.

Question 35

A recipe calls for 3 cups of flour. If the baker wants to make half a recipe, how much flour should
Be used?

A)
B)6 cups
C)5 cups
D)