ILTS 305 Math Exam Questions
with Verified Answers
Number - -basic building block
- integer - -All whole numbers (both positive and negative) and zero.
- prime number - -A whole number that has exactly two factors, 1 and itself.
- composite number - -A whole number greater than 1 that has more than
two factors.
- rational number - -A number that can be written as a fraction
- irrational number - -a number that can NOT be expressed as a ratio of two
integers or as a repeating or terminating decimal - Pi or any square root of
an imperfect square are considered irrational
- Number line - -
- absolute value - -The distance a number is from zero on a number line
- divisor - -The number by which another number is divided.
- quotient - -the answer to a division problem
- Parenthesis - -
- Exponet - -number that represents the number of times the base is used
as a factor
- root - -a solution of an equation
- perfect square - -a square of a whole number
- order of operations - -PEMDAS (parenthesis, Exponents, Multiplication,
Division, Addition, Subtraction)
- common factor - -Any common factor of two or more numbers.
- prime factorization - -a number written as the product of all its prime
factors
, - GCF (Greatest Common Factor) - -the greatest number that is a factor of
two or more numbers
- least common multiple (LCM) - -The smallest multiple (other than zero)
that two or more numbers have in common.
- fraction - -part of a whole
- numerator - -the top number in a fraction
- denominator - -The bottom number in a fraction
- equivelent fractions - -when one fraction is equal to another.
- common denominator - -A denominator that is the same in two or more
fractions.
- Adding and Subtracting Fractions - -make denominator same number then
add or subtract across
- Multiplying Fractions - -1. Multiply the numerators.
2. Multiply the denominators.
- Dividing Fractions - -To divide fractions, invert the second one and
multiply
- Multiplying mixed numbers - -Change to an improper fraction and
multiply; then change the answer, if in improper form, back to a mixed
number and reduce if necessary.
Example: 3 1/3 x 2 1/4 = 10/3 x 9/4 = 90/12 =
7 6/12 = 7 1/2`
- adding and subtracting decimals - -Line up the decimal points and proceed
as usual
- Multiplying Decimals - -Ignore the decimal point until the answer. Count
the number of Decimal places in both factors. Use that number of decimal
places to write the answer.
- Dividing Decimals - -Move the decimal to the right on both numbers until
there is nothing to the right of the decimal
- percentages - -part = (percent / 100) x whole
e.g. 7 + 9 + 4 = 20, what % is 4 of whole.
4/20 = (4x5)/(20x5) = =20%
with Verified Answers
Number - -basic building block
- integer - -All whole numbers (both positive and negative) and zero.
- prime number - -A whole number that has exactly two factors, 1 and itself.
- composite number - -A whole number greater than 1 that has more than
two factors.
- rational number - -A number that can be written as a fraction
- irrational number - -a number that can NOT be expressed as a ratio of two
integers or as a repeating or terminating decimal - Pi or any square root of
an imperfect square are considered irrational
- Number line - -
- absolute value - -The distance a number is from zero on a number line
- divisor - -The number by which another number is divided.
- quotient - -the answer to a division problem
- Parenthesis - -
- Exponet - -number that represents the number of times the base is used
as a factor
- root - -a solution of an equation
- perfect square - -a square of a whole number
- order of operations - -PEMDAS (parenthesis, Exponents, Multiplication,
Division, Addition, Subtraction)
- common factor - -Any common factor of two or more numbers.
- prime factorization - -a number written as the product of all its prime
factors
, - GCF (Greatest Common Factor) - -the greatest number that is a factor of
two or more numbers
- least common multiple (LCM) - -The smallest multiple (other than zero)
that two or more numbers have in common.
- fraction - -part of a whole
- numerator - -the top number in a fraction
- denominator - -The bottom number in a fraction
- equivelent fractions - -when one fraction is equal to another.
- common denominator - -A denominator that is the same in two or more
fractions.
- Adding and Subtracting Fractions - -make denominator same number then
add or subtract across
- Multiplying Fractions - -1. Multiply the numerators.
2. Multiply the denominators.
- Dividing Fractions - -To divide fractions, invert the second one and
multiply
- Multiplying mixed numbers - -Change to an improper fraction and
multiply; then change the answer, if in improper form, back to a mixed
number and reduce if necessary.
Example: 3 1/3 x 2 1/4 = 10/3 x 9/4 = 90/12 =
7 6/12 = 7 1/2`
- adding and subtracting decimals - -Line up the decimal points and proceed
as usual
- Multiplying Decimals - -Ignore the decimal point until the answer. Count
the number of Decimal places in both factors. Use that number of decimal
places to write the answer.
- Dividing Decimals - -Move the decimal to the right on both numbers until
there is nothing to the right of the decimal
- percentages - -part = (percent / 100) x whole
e.g. 7 + 9 + 4 = 20, what % is 4 of whole.
4/20 = (4x5)/(20x5) = =20%
