NYSTCE Childhood Math Questions And Answers
2025
Integer - ANS-set of whole positive and negative numbers includes zero. Does not
include fractions, decimals, or mixed numbers
Prime number - ANS-whole number greater than one, only has two factors (itself and 1)
Composite number - ANS-whole number greater than one, has more than two factors
Even number - ANS-any integer that can be divided by evenly divided by 2 without
leaving a remainder
Odd number - ANS-any integer that cannot be evenly divided by 2
Decimal number - ANS-number that uses decimal point to show the part of the number
that is less than one
Decimal point - ANS-symbol used to separate the ones place from the tenths place in
decimals or dollars from cents in currency
Decimal place - ANS-position of number to the right of the decimal point
Base 10 number system - ANS-uses two different digits
Rational numbers - ANS-includes all integers, decimals, and fractions. All
terminating/repeating decimals
Irrational numbers - ANS-cannot be written as fractions or decimals because number of
decimal places is infinite and no recurring patterns exist
Real numbers - ANS-set of all rational and irrational numbers
Factors - ANS-numbers that are multiplied together to obtain a product
Common factor - ANS-Number that divides exactly into two or more other numbers
Prime factor - ANS-A factor that is also a prime number
Greatest common factor (GCF) - ANS-largest number that is a factor of two or more
numbers
Least common multiple (LCM) - ANS-smallest number that is a multiple of two or more
numbers
, Rounding - ANS-approximation of a number by increasing or decreasing it to the
nearest possible exact value of the cutoff digit, 5 or higher round up, 4 or lower round
down
Addition - ANS-increases value of one quantity by the value of the another quantity
Subtraction - ANS-opposite of addition, decreases value of one quantity by value of
another quantity
Multiplication - ANS-repeated addition, one number tells you how many times to add the
other number to itself
Division - ANS-opposite of multiplication, repeated subtraction, one number tells you
how many parts to divide the other number into
Exponent - ANS-superscript number placed at top right, indicates how many times to
multiply base number by it self
Order of operations - ANS-PEMDAS, multiplication and division/addition and subtraction
have equal weight so they are completed left to right in order
Laws of exponents - ANS-1) Any number to the power of 1 is equal to itself: 𝑎^1 = 𝑎.
2) The number 1 raised to any power is equal to 1: 1^𝑛 = 1.
3) Any number raised to the power of 0 is equal to 1: 𝑎^0 = 1.
4) Add exponents to multiply powers of the same base number:𝑎^𝑛 × 𝑎^𝑚 = 𝑎^(𝑛+𝑚).
5) Subtract exponents to divide powers of the same number; that is 𝑎^𝑛 ÷ 𝑎^𝑚 =
𝑎^(𝑛−𝑚).
6) Multiply exponents to raise a power to a power: (𝑎^𝑛)^𝑚 = 𝑎^(𝑛×𝑚).
7) If multiplied or divided numbers inside parentheses are collectively raised to a power,
this is the
same as each individual term being raised to that power: (𝑎 × 𝑏)^𝑛 = 𝑎^𝑛 × 𝑏^𝑛; (𝑎 ÷
𝑏)^𝑛 = 𝑎^𝑛 ÷ 𝑏^𝑛
Roots - ANS-another way of writing a fractional exponent, √𝑎 (with n in the upper left),
can be translated as a^(1/n)
Perfect square - ANS-number that has an integer for its square root, there are 10 for
numbers 1 to 100
Scientific notation - ANS-way of writing larger numbers in a shorter form 𝑎 × 10^𝑛, a is
greater than or equal to 1 but less than 10
Fraction - ANS-number expressed as one integer (numerator) written above another
integer (denominator) with dividing line b/t them, x/y. Represents quotient of 2 numbers,
x divided by y
2025
Integer - ANS-set of whole positive and negative numbers includes zero. Does not
include fractions, decimals, or mixed numbers
Prime number - ANS-whole number greater than one, only has two factors (itself and 1)
Composite number - ANS-whole number greater than one, has more than two factors
Even number - ANS-any integer that can be divided by evenly divided by 2 without
leaving a remainder
Odd number - ANS-any integer that cannot be evenly divided by 2
Decimal number - ANS-number that uses decimal point to show the part of the number
that is less than one
Decimal point - ANS-symbol used to separate the ones place from the tenths place in
decimals or dollars from cents in currency
Decimal place - ANS-position of number to the right of the decimal point
Base 10 number system - ANS-uses two different digits
Rational numbers - ANS-includes all integers, decimals, and fractions. All
terminating/repeating decimals
Irrational numbers - ANS-cannot be written as fractions or decimals because number of
decimal places is infinite and no recurring patterns exist
Real numbers - ANS-set of all rational and irrational numbers
Factors - ANS-numbers that are multiplied together to obtain a product
Common factor - ANS-Number that divides exactly into two or more other numbers
Prime factor - ANS-A factor that is also a prime number
Greatest common factor (GCF) - ANS-largest number that is a factor of two or more
numbers
Least common multiple (LCM) - ANS-smallest number that is a multiple of two or more
numbers
, Rounding - ANS-approximation of a number by increasing or decreasing it to the
nearest possible exact value of the cutoff digit, 5 or higher round up, 4 or lower round
down
Addition - ANS-increases value of one quantity by the value of the another quantity
Subtraction - ANS-opposite of addition, decreases value of one quantity by value of
another quantity
Multiplication - ANS-repeated addition, one number tells you how many times to add the
other number to itself
Division - ANS-opposite of multiplication, repeated subtraction, one number tells you
how many parts to divide the other number into
Exponent - ANS-superscript number placed at top right, indicates how many times to
multiply base number by it self
Order of operations - ANS-PEMDAS, multiplication and division/addition and subtraction
have equal weight so they are completed left to right in order
Laws of exponents - ANS-1) Any number to the power of 1 is equal to itself: 𝑎^1 = 𝑎.
2) The number 1 raised to any power is equal to 1: 1^𝑛 = 1.
3) Any number raised to the power of 0 is equal to 1: 𝑎^0 = 1.
4) Add exponents to multiply powers of the same base number:𝑎^𝑛 × 𝑎^𝑚 = 𝑎^(𝑛+𝑚).
5) Subtract exponents to divide powers of the same number; that is 𝑎^𝑛 ÷ 𝑎^𝑚 =
𝑎^(𝑛−𝑚).
6) Multiply exponents to raise a power to a power: (𝑎^𝑛)^𝑚 = 𝑎^(𝑛×𝑚).
7) If multiplied or divided numbers inside parentheses are collectively raised to a power,
this is the
same as each individual term being raised to that power: (𝑎 × 𝑏)^𝑛 = 𝑎^𝑛 × 𝑏^𝑛; (𝑎 ÷
𝑏)^𝑛 = 𝑎^𝑛 ÷ 𝑏^𝑛
Roots - ANS-another way of writing a fractional exponent, √𝑎 (with n in the upper left),
can be translated as a^(1/n)
Perfect square - ANS-number that has an integer for its square root, there are 10 for
numbers 1 to 100
Scientific notation - ANS-way of writing larger numbers in a shorter form 𝑎 × 10^𝑛, a is
greater than or equal to 1 but less than 10
Fraction - ANS-number expressed as one integer (numerator) written above another
integer (denominator) with dividing line b/t them, x/y. Represents quotient of 2 numbers,
x divided by y
