ISEE/SSAT Math Formulas

Pythagorean Theorem

a² + b² = c²

Area of Circle

πr²

Circumference of a Circle

2πr or πd

Surface Area of Rectangular Prism

A=2(wl+hl+hw)

Sum of the Angles of a Quadrilateral

360º

Rational Number

a number that can be written as a fraction (i.e. as a ratio of two integers)

Irrational Number

a number that cannot be expressed as a fraction; its decimal representation does not terminate or repeat

Counting Number/Natural Number

integers greater than 0: {1, 2, 3, 4, ...}

Real Numbers

the set of positive integers and 0: {0, 1, 2, 3, 4, ...}

Integers

numbers that can be written without a fractional component: {...-3, -2, -1, 0, 1, 2, 3, ...}

Factors

the divisors of an integer

Multiple

The result of multiplying a number by an integer

Surface Area of a Cube

6s²

Surface Area of a Cylinder

2πrh + 2πr²

Surface Area of Triangular Prism

1/2bh

Volume of a Rectangular Prism

lwh

Volume of a Cube

s³

Volume of a Triangular Prism

1/2wh × l

Volume of a Cylinder

πr²h

Range

the largest - the smallest number

1 liter =

1,000 milliliters

1 pound =

16 ounces

1 cubic yard =

27 cubic feet

1 cup =

8 fluid ounces

Range

the largest - the smallest number

1 ton =

2,000 pounds

1 quart =

2 pints

1 gallon =

4 quarts

Customary Units

pound, ton, cup, pint, quart, gallon

Metric Units

gram, kilgram, liter, kiloliter, milliliter, milligram

1 gram =

1,000 milligrams

1 kiloliter =

1,000 liters

Mean

average

Median

the middle number or the mean of the two middle numbers

Range

the largest - the biggest number

Mode

the numbers that occur most frequently in a set, when all the numbers occur with the same frequency there is no mode, when two or more numbers occur with the same frequency, there can be multiple modes