Numbers And Operations

Question 1

An integer consists of

Answer 1

Whole numbers and their negatives including zero extending infinitely in both negative and positive directions

Question 2

Even times even equals

Answer 2

even

Question 3

Odd times odd equals

Answer 3

Odd

Question 4

Odd times even equals

Answer 4

Even

Question 5

Pythagorean theorem

Answer 5

A^2 + b^2 = c^2

Question 6

If a positive fraction with a value less than one is squared

Answer 6

The result is always smaller than the original fraction

Question 7

As it applies to fractions:

A rational number is a number that

Answer 7

Can be represented by a fraction whose numerator and denominator are both integers

Question 8

Decimal equivalents:

1/3

Answer 8

.33333333

Question 9

Decimal equivalents:

2/3

Answer 9

.6666666

Question 10

The product of a number and it’s reciprocal is always

Answer 10

1

Question 11

The reciprocal of zero is

Answer 11

Zero has no reciprocal

Question 12

Common factors are

Answer 12

Factors that two or more numbers have in common

Question 13

Multiples are

Answer 13

The multiples of any given number are those numbers that can be divided by their factors without a remainder

The multiples of any number will always be multiples of all the factors of that number

The numbers 30, 45, 60 and 75 are all multiples of the number 15 two factors of 15 are the numbers three and five that means that 30, 45, 60 and 75 are all multiples of three and five

Question 14

Common multiples

Answer 14

If you have two or more numbers any number that is a multiple of all the given numbers is called a common multiple

Question 15

Least common multiple

Answer 15

The smallest multiple of two or more numbers

Question 16

Modular arithmetic is

Answer 16

Examining only the remainders of numbers

Question 17

Prime factors

Answer 17

The factors of a number that are prime

Question 18

Proportion

Answer 18

An equation in which two ratios are set equal to each other

Question 19

A factor is

Answer 19

Positive integers that can be divided evenly into a number without remainders

Question 20

A sequence is

Answer 20

An ordered list of numbers

Question 21

Arithmetic sequence

Answer 21

a + d(n-1)

a is the first number in a sequence
d is the common difference
n is the term number

Question 22

Geometric sequence

Answer 22

ar^(n-1)

a is the first number in a sequence
r is the constant ratio
n is the term number

Question 23

A set is

Answer 23

A collection of things, and the things are called elements or members of the set

Question 24

Permutations are

Answer 24

Reordering of the elements in the set

For example a four letter password that can’t use the same letter twice has the possible combinations of 26 x 25 x 24 x 23 because it reduces by one each choice made

Question 25

Combinations

Answer 25

Are permutations that the members chosen make no difference

Question 26

Logical reasoning

Answer 26

You have to figure out how to draw conclusions from a set of facts

Remember the mathematical rules and apply the logic