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Numbers
(Click on the question number for the answer.)
 
Integers
Which is an integer?
A. pi
B. 396
C. 1.007
D. 12 14/15
E. 6.02 times 10 to the fifth power
 
Ordinary Numbers
What are the first three ordinal numbers?
 
Real Ratios
Real numbers which cannot be expressed as the ratio of two integers are classified as ...
A. prime numbers
B. composite numbers
C. deficient numbers
D. irrational numbers
E. denominate numbers
 
Palindrome Numbers
The odometer on Bill's truck reads 93884. What is the fewest number of miles he must drive before the numbers on his odometer form a palindrome?
A. 9
B. 55
C. 109
D. 165
E. 232
 
Powerful Numbers
What is the name for a numeral that tells how many times to use a number called the base as a factor in a product?
 
Decimal Points
Begin at the decimal point and move 5 places left. Then move 3 places right and 1 place left. Finally move 8 places right. You are now in what place?
A. tenths
B. hundredths
C. millionths
D. ten thousandths
E. hundred thousandths
 
Number History
The numerals you use today were developed by what civilization?
A. Roman
B. Arab
C. Mayan
D. Greek
E. English
 
Exponents
Express the answer to the following in simplified exponential form.
6 to the second power times 6
to the sixth power times 6 to the
negative sixth power.
 
Combinations
How many integers greater than 100 can be written using just 0, 4, and 7 if no digit is repeated in any number?
A. 3
B. 4
C. 5
D. 6
E. 7
 
Perfection
Which number is not a perfect square?
A. 25
B. 49
C. 81
D. 102
E. 121
 
Square Rules
If a whole number is even, its square is even. If a whole number is odd, its square is ...
 
Abundant Numbers
Ancient Greeks said a number is abundant if the sum of its divisors excluding itself is greater than itself. Which number below is abundant?
A. 4
B. 8
C. 12
D. 15
E. 16
 
Even Integers
How many four-digit, positive even numbers are there?
A. 4000
B. 4500
C. 5000
D. 5500
E. 6000
 
Place Holders
How many zeroes are there in the number representing the sum of one trillion and one hundred?
A. 8
B. 9
C. 10
D. 11
E. 12
 
Number Pairs
If you use the integers from 1 through 8 to form pairs of numbers so that the sum of each pair is identical, what would that sum be?
 
Equivalence
Which is not equal to the others?
A. .15
B. .015
C. 1.5%
D. 1 1/2%
E. 15/1000
 
Big Numbers
What number equals to one thousand billion?
A. trillion
B. quadrillion
C. quintillion
D. sextillion
E. septillion
 
History of Math
In the ninth century A.D., the Hindus added what new element to the set of natural numbers?
 
Unusual Numbers
What year in the 20th century reads the same when printed upside down and backwards?
 
Number Comparisons
Which choice is largest given this expression?
-1 < P < 0

A. 0
B. 2P
C. -1
D. P + 1
E. P cubed
 
Mnemonic Devices
This jingle helps you remember what number?
See - I have a rhyme assisting my feeble
brain - its tasks ofttimes resisting.
 
Conditions
(x+1)/(x+1) = 1 if and only if ...
A. x is not prime
B. x does not equal -1
C. x is not less than 1
D. x does not equal zero
E. x is a positive number
 
Prime Place Value
How many prime numbers less than 40 have a 3 in the one's place?
 
Special Numbers
What number when doubled equals twice as much as when squared?
 
Number Savvy
Which is an irrational number?
A. 688/4
B. -39127
C. 9 to the 11th power
D. the square root of 2
E. 5 to the negative 2 power
 
Number Properties
Rearrange the digits in any whole number any way you want. The difference between the original number and the new number will always be divisible by what number greater than 1?
 
Number History
Because it is the sum of all its divisors except itself, what single-digit number did the Greeks consider to be the first perfect number?
 
Triangular Numbers
The numbers 3 and 6 are triangular numbers because sets of 3 and 6 members can be arranged in triangles. Which of these is not triangular?
A. 28
B. 10
C. 16
D. 21
E. 36
 
Integers
What integer has these properties?
It is positive.
It is prime.
Its square is less than 10.
It is even.
Its square root is less than 4.
 
Infinity
Which number is not finite?
A. the stars in our solar system
B. the fractions between 1 and 2
C. the number of insects in Brazil
D. the odd integers less than 1000
E. the ounces of ice in Antarctica
 

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Answers to Numbers
1. B
2. first, second, third
3. D
4. B
5. exponent
6. E
7. B
8. 6 to the second power
9. B
10. D
11. odd
12. C
13. B
14. D
15. 9
16. A
17. A
18. zero
19. 1961
20. D
21. pi (3.141592...)
22. B
23. 3
24. one
25. D
26. 9
27. 6
28. C
29. 2
30. B
 
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