Deck 1: Problem Solving

Question 1

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 5 10 20 40 80

Answer 1

160

Question 2

Answer 2

Question 3

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

A) watch football and open gifts.
B) eat Mexican food and take a walk in a park.
C) eat Korean food and take a walk in a park.
D) eat fast food and take a walk in a park.

Answer 3

C

Question 4

Round to the nearest hundred-thousand. 98,521,900

Question 5

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 7 8 10 13 17 22 28

Question 6

One number is 18 more than another number. The sum of the numbers is 36. Find the numbers.

Question 7

A car travels 485 miles on 11.9 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)

A) 24.5 miles per gallon
B) 43.2 miles per gallon
C) 35.3 miles per gallon
D) 40.8 miles per gallon

Question 8

Question 9

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 80. Multiply by 7. Subtract 560. Divide by 7. Subtract the original number.

A) The answer is always 0.
B) The answer is always -480.
C) The answer is always the original number.
D) The answer is always 480.

Question 10

Estimate the cost to live in an apartment for 1 year if the rent is $319 per month and utilities are $62 per month.

Question 11

Question 12

An item that originally cost $887.99 is on sale for 20% off. Estimate the sale price of the item.

Question 13

The manager of an Internet cafe is having new counters custom-made. She wants to put 4 PCs on each counter with 4 feet between the PCs and 3 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) 26 ft
B) 24 ft
C) 25 ft
D) 28 ft

Question 14

Question 15

Question 16

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 1 3 7 13 15 19 25 27 31 37

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

Question 17

Round to the nearest hundredth. 2.87491

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

Question 18

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 6 7 3 4 0 1 -3 -2

A) -3
B) 2
C) -6
D) -1

Question 19

Question 20

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.
$$\begin{array} { c } 12,345,679 \times 9 = 111,111,111 \\12,345,679 \times 18 = 222,222,222 \\12,345,679 \times 27 = 333,333,333 \\\cdot \\\cdot \\12,345,679 \times 36 = ?\end{array}$$

A) 333,333,333
B) 555,555,555
C) 444,444,444
D) 444,444,408

Question 21

Jane has 17 phone cards worth either $20 or $15. How many of each does he have if the phone cards total $315?

A) twelve $20 cards and five $15 cards
B) five $20 cards and twelve $15 cards
C) eleven $20 cards and six $15 cards
D) fifteen $20 cards and one $15 cards

Question 22

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) $40,000
C) $15,000
D) $23,000

Question 23

Phil has 12 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $3.18 how many $0.37 stamps does Phil have?

A) 4
B) 3
C) 9
D) 2

Question 24

A person's monthly budget includes $226 for food, $172 for gasoline, and $193 for utilities. If the person earns $2037 per month, how much money is left for other expenses?

A) $1639
B) $1672
C) $1446
D) $723

Question 25

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) 11 × 5 = 55; 5 + 5 = 10, which is divisible by 5.
B) 111 × 5 = 555; 5 + 5 + 5 = 15, which is not divisible by 5.
C) 5 × 5 = 25; 2 + 5 = 7, which is not divisible by 5.
D) 10 × 5 = 50; 5 + 0 = 5, which is divisible by 5.

Question 26

Round 857,665,735 to the nearest ten-thousand.

A) 857,666,000
B) 857,665,740
C) 857,700,000
D) 857,670,000

Question 27

Write a counter example to show that the statement is false. When an odd number is added to the product of two even numbers, the result will be even.

A) 4  2 + 3 = 11. 11 is not even.
B) 4  5 + 1 = 21. 21 is not even.
C) 3  5 + 4 = 19. 19 is not even.
D) 4  5 + 2 = 22. 22 is even.

Question 28

Determine whether the type of reasoning used is inductive or deductive reasoning. Matthew has already lost 5 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 29

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

Question 30

The demographics of an elementary school are shown below. The school has 504 students. Estimate the number of students who are White Non-Hispanic.

A) 166
B) 17
C) 33
D) 16,632

Question 31

Determine whether the type of reasoning used is inductive or deductive reasoning. If a computer tech says it will cost $125 to fix my computer, it will actually cost $200. Since a computer tech told me it would cost $125 to fix my computer, I can expect it to cost me $200.

A) deductive reasoning
B) inductive reasoning

Question 32

The length of a garden is double its width. There is a fence around the perimeter that measures 180 ft. What are the length and width of the garden?

A) length = 90 ft, width = 45 ft
B) length = 45 ft, width = 90 ft
C) length = 60 ft, width = 30 ft
D) length = 30 ft, width = 60 ft

Question 33

Estimate the number of people living in the US in 1910.

A) 12,100,000
B) 101,000,000
C) 81,000,000
D) 121,000,000