A ratio demonstrates a mathematical relationship between two quantities, and can be represented as a fraction, two numbers joined by a colon, or two numbers joined by the word “to.” If the ratio is a fraction, generally the first value mentioned goes in the numerator while the second value goes in the denominator. If [...]

The factors of a number are integers that can be divided evenly (without a remainder) into the number. For example, the number 20 is divisible by 5 in that 5 can go into 20 four times without going over or under the number 20. However, the number 20 is not divisible by 6, as [...]

A basic representation of a number, such as 546, is designated as standard notation. Expanded notation demonstrates the place value for each digit in a number by multiplying each digit by its place value and adding all the digits together. You do not have to multiply 1 to the one’s place, but it can [...]

Powers or exponents refer to multiplying the same number to itself a certain number of times, and the same is true for variables and algebraic expressions. The exponent will be located in the upper right hand corner next to the number and will be much smaller than the number (called superscript). When the power [...]

Number lines are used to visually represent the relationships between integers, fractions, and decimals and to show how mathematic operations work in these relationships. Some number lines are shown with arrows pointing in opposite directions on either end of the line to designate a continuity of sequence in positive and negative numbers. The number line [...]

Word problems can be some of the most difficult types of questions on any test. You have to understand precisely what the question is asking you and what relevance the quantities have to one another. For Arithmetic Word Problems, you will not really have to worry about creating algebraic expressions in order to answer [...]

Operations are the actions taken to solve math problems: addition, subtraction, multiplication, division, grouping (placing values in parentheses), and exponentiation (multiplying the same number to itself a certain number of times). Order of Operations was developed to make sure operations in a problem are completed in a particular order to achieve the correct result. [...]

Math is filled with theorems, axioms, and properties. Though the following properties may seem simplistic, the ISEE will couple these properties with difficult concepts, such as algebraic functions. Reflexive Property A value is equal to itself. x = x Examples 17 = 17 y = 400 Symmetric Property Equal values may be placed on [...]