FTCE K-6 MATH 2025/2026 QUESTIONS AND SOLUTIONS
GRADED A+
✔✔Verbal expressions - ✔✔are the language used to express math symbols.
✔✔Algebraic expressions - ✔✔represent relationships among varying numbers
(variables).
✔✔Synthesizing - ✔✔involves putting information together in a new, creative way.
✔✔PEMDAS - ✔✔•terms inside Parentheses or brackets
•Exponents and roots
•Multiplication and Division as they appear left to right
•Addition and Subtraction as they appear left to right
✔✔The rules for both multiplication and division when at least one negative number is
involved are as follows: - ✔✔•Two positives OR two negatives give a positive.
•" Mixing" a positive and a negative gives a negative.
✔✔Number theory - ✔✔examines and categorizes the properties of integers in terms of
mathematical relationships.
✔✔prime number. - ✔✔A number with exactly two whole-number factors— 1 and the
number itself
✔✔Most other whole numbers are composite numbers - ✔✔that is, they can be
expressed as several whole-number factors
✔✔The number 1 is neither prime nor composite - ✔✔it has only one whole-number
factor.
✔✔The rules of divisibility are as follows - ✔✔•Division by zero is not possible.
•Only whole numbers ending in 0, 2, 4, 6, and 8 are divisible by 2.
•Only whole numbers whose digits add up to a number divisible by 3 are divisible by 3
•A number is divisible by 4 if the last two digits are divisible by 4
•A number is divisible by 5 if the ones place has a 5 or zero.
•A number is divisible by 6 if it is divisible by both 2 and 3.
•A number is divisible by 8 if the last three digits are divisible by 8.
•A number is divisible by 9 if the sum of the digits is divisible by 9.
•A number that has a 0 in the ones place is divisible by 10.
✔✔Compensation - ✔✔two-digit numbers grouped by tens and ones.
✔✔Integers - ✔✔are numbers preceded by either a positive (+) or negative (-) sign.
, ✔✔An exponent of 1 is equivalent to the base number. - ✔✔An exponent of 1 is
equivalent to the base number.
✔✔An exponent of 0 for any number is equivalent to 1. - ✔✔An exponent of 0 for any
number is equivalent to 1.
✔✔Scientific notation - ✔✔a special form of exponential notation most useful for very
large or very small real numbers in which a number (n) is represented as between 1 and
10 multiplied by a power of 10.
✔✔Customary units - ✔✔are generally the same as U.S. units.
✔✔Customary units of length include - ✔✔inches, feet, yards, and miles.
✔✔Customary units of weight - ✔✔include ounces, pounds, and tons
✔✔Metric units of length - ✔✔include millimeters, centimeters, decimeters, meters, and
kilometers.
✔✔Metric units of weight - ✔✔include grams and kilograms.
✔✔operations - ✔✔The ways in which numbers are manipulated or used
✔✔Measures of central tendency - ✔✔ways to describe data as a single number. These
measures consist of the mean (mathematical average), median (middle score), and
mode (most frequent score).
✔✔To determine the mean - ✔✔add the values in the set and divide by the total number
of elements in the set.
✔✔To find the median - ✔✔order a given set of numbers from smallest to largest; the
median is the "middle" number.
✔✔To determine the mode - ✔✔examine the data to see which value occurs most
often.
✔✔If two scores have the same frequency - ✔✔the distribution is termed bimodal.
✔✔the range - ✔✔The difference between high and low scores. To determine the range
of a set of numbers, subtract the smallest number in the set from the largest number in
the set.
✔✔Frequency - ✔✔refers to how often something happens
GRADED A+
✔✔Verbal expressions - ✔✔are the language used to express math symbols.
✔✔Algebraic expressions - ✔✔represent relationships among varying numbers
(variables).
✔✔Synthesizing - ✔✔involves putting information together in a new, creative way.
✔✔PEMDAS - ✔✔•terms inside Parentheses or brackets
•Exponents and roots
•Multiplication and Division as they appear left to right
•Addition and Subtraction as they appear left to right
✔✔The rules for both multiplication and division when at least one negative number is
involved are as follows: - ✔✔•Two positives OR two negatives give a positive.
•" Mixing" a positive and a negative gives a negative.
✔✔Number theory - ✔✔examines and categorizes the properties of integers in terms of
mathematical relationships.
✔✔prime number. - ✔✔A number with exactly two whole-number factors— 1 and the
number itself
✔✔Most other whole numbers are composite numbers - ✔✔that is, they can be
expressed as several whole-number factors
✔✔The number 1 is neither prime nor composite - ✔✔it has only one whole-number
factor.
✔✔The rules of divisibility are as follows - ✔✔•Division by zero is not possible.
•Only whole numbers ending in 0, 2, 4, 6, and 8 are divisible by 2.
•Only whole numbers whose digits add up to a number divisible by 3 are divisible by 3
•A number is divisible by 4 if the last two digits are divisible by 4
•A number is divisible by 5 if the ones place has a 5 or zero.
•A number is divisible by 6 if it is divisible by both 2 and 3.
•A number is divisible by 8 if the last three digits are divisible by 8.
•A number is divisible by 9 if the sum of the digits is divisible by 9.
•A number that has a 0 in the ones place is divisible by 10.
✔✔Compensation - ✔✔two-digit numbers grouped by tens and ones.
✔✔Integers - ✔✔are numbers preceded by either a positive (+) or negative (-) sign.
, ✔✔An exponent of 1 is equivalent to the base number. - ✔✔An exponent of 1 is
equivalent to the base number.
✔✔An exponent of 0 for any number is equivalent to 1. - ✔✔An exponent of 0 for any
number is equivalent to 1.
✔✔Scientific notation - ✔✔a special form of exponential notation most useful for very
large or very small real numbers in which a number (n) is represented as between 1 and
10 multiplied by a power of 10.
✔✔Customary units - ✔✔are generally the same as U.S. units.
✔✔Customary units of length include - ✔✔inches, feet, yards, and miles.
✔✔Customary units of weight - ✔✔include ounces, pounds, and tons
✔✔Metric units of length - ✔✔include millimeters, centimeters, decimeters, meters, and
kilometers.
✔✔Metric units of weight - ✔✔include grams and kilograms.
✔✔operations - ✔✔The ways in which numbers are manipulated or used
✔✔Measures of central tendency - ✔✔ways to describe data as a single number. These
measures consist of the mean (mathematical average), median (middle score), and
mode (most frequent score).
✔✔To determine the mean - ✔✔add the values in the set and divide by the total number
of elements in the set.
✔✔To find the median - ✔✔order a given set of numbers from smallest to largest; the
median is the "middle" number.
✔✔To determine the mode - ✔✔examine the data to see which value occurs most
often.
✔✔If two scores have the same frequency - ✔✔the distribution is termed bimodal.
✔✔the range - ✔✔The difference between high and low scores. To determine the range
of a set of numbers, subtract the smallest number in the set from the largest number in
the set.
✔✔Frequency - ✔✔refers to how often something happens
