HSPT Math Review with Complete Solutions
AREA - ANSWER-The number of square units inside a 2-dimensional figure
Ex. The area of a rectangle whose length is 18 feet and width is 5 feet is: 18×5 = 90
square feet.
arithmetic sequence - ANSWER-A sequence where each term is found by adding or
subtracting the exact same
number to the previous term
Ex. 4, 6, 8, 10, 12...is an arithmetic sequence (add 2)
Central Tendency - - ANSWER-An attempt to find the "average" or "central value" of a
given set of data.
Ex. In statistics, there are three main measures of central tendency: MEAN, MEDIAN,
MODE
CHORD - ANSWER-A line segment that runs from somewhere on the circle to another
place on the circle
OA
Ex. AB is a chord
Circumference - ANSWER-The distance around a circle
Ex. The circumference of a circle whose radius is 4 inches is: 2π(4) = 8π inches or
approximately 25.12 inches.
Coefficient - ANSWER-A number that multiples a variable
Commutative Property - ANSWER-States that two or more numbers can be added or
multiplied in any order and still arrive at the same sum or product. i.e. 8 + 20 = 20 + 8 7
• 12 = 12 • 7
Compatible numbers - ANSWER-Numbers that can be divided evenly; useful in
estimating quotients
Ex. 27.2÷4.14 ≈ 28÷4=7...28and4arecompatible#s.
Constant - ANSWER-A term with no variable part (i.e. a number)
Coordinate Plane - ANSWER-A plane formed by two number lines (the horizontal x-axis
and the vertical y-axis)
intersecting at their zero points
Deductive Reasoning - ANSWER-Reasoning logically from given facts to a conclusion
DIAMETER - ANSWER-A chord that passes through the center of the circle R
Ex. RS is a diameter
, DIFFERENCE - ANSWER-The result of subtraction.
DISCOUNT - ANSWER-The amount by which a price is decreased
Ex. If shoes marked at $56 have a discount of $10, the new price is now $46.
Distributive Property - ANSWER-If you multiply a sum by a number, you will get the
same result if you multiply each addend by that number and then add the products. i.e.
4(7 + 6) = 4(7) + 4(6)
Equation - ANSWER-A mathematical sentence that uses an equals (=) sign to indicate
that the side to the left of the equals sign has the same value as the side to the right of
the equals sign
Ex. Theequationx+4=10hasasolutionofx=6
Evaluate - ANSWER-To replace variables with numbers and then simplify an
expression
Ex. To evaluate 4x + 10 when x = 3, replace "x" with 3 and simplify: 4(3)+10=12+10=22
Expanded Notation - ANSWER-Pointing out the place value of a digit by writing a
number as the digit × its place value. For example, 342 = (3 × 102 ) + (4 × 101) + (2 ×
10).
Exponent - ANSWER-A raised number that tells the power of the base.
i.e. 43 = 4 • 4 • 4 = 64
62 = 6 • 6 = 36
Factor (noun) - ANSWER-A number or symbol that divides evenly into a larger number.
For example, 6 is a factor of 24.
Geometric sequence - - ANSWER-A sequence where each term is found by multiplying
or dividing by the exact
same number to the previous term
Ex. 2, 6, 18, 54, 162...is a geometric sequence (multiply 3)
Greatest Common Factor (GCF) - ANSWER-The largest factor common to two or more
numbers.
Grouping Symbols - ANSWER-Ex. (parenthesis), [brackets], {braces}, long division bar
Identity Property - ANSWER-Has 2 parts. The sum of any number and Zero is that
number. The product of any number and One is that number. i.e. 8 + 0 = 8
45(1) = 45
Inequality - ANSWER-A mathematical sentence that shows the relationship between
quantities that are not equivalent.
i.e. 5‹8
AREA - ANSWER-The number of square units inside a 2-dimensional figure
Ex. The area of a rectangle whose length is 18 feet and width is 5 feet is: 18×5 = 90
square feet.
arithmetic sequence - ANSWER-A sequence where each term is found by adding or
subtracting the exact same
number to the previous term
Ex. 4, 6, 8, 10, 12...is an arithmetic sequence (add 2)
Central Tendency - - ANSWER-An attempt to find the "average" or "central value" of a
given set of data.
Ex. In statistics, there are three main measures of central tendency: MEAN, MEDIAN,
MODE
CHORD - ANSWER-A line segment that runs from somewhere on the circle to another
place on the circle
OA
Ex. AB is a chord
Circumference - ANSWER-The distance around a circle
Ex. The circumference of a circle whose radius is 4 inches is: 2π(4) = 8π inches or
approximately 25.12 inches.
Coefficient - ANSWER-A number that multiples a variable
Commutative Property - ANSWER-States that two or more numbers can be added or
multiplied in any order and still arrive at the same sum or product. i.e. 8 + 20 = 20 + 8 7
• 12 = 12 • 7
Compatible numbers - ANSWER-Numbers that can be divided evenly; useful in
estimating quotients
Ex. 27.2÷4.14 ≈ 28÷4=7...28and4arecompatible#s.
Constant - ANSWER-A term with no variable part (i.e. a number)
Coordinate Plane - ANSWER-A plane formed by two number lines (the horizontal x-axis
and the vertical y-axis)
intersecting at their zero points
Deductive Reasoning - ANSWER-Reasoning logically from given facts to a conclusion
DIAMETER - ANSWER-A chord that passes through the center of the circle R
Ex. RS is a diameter
, DIFFERENCE - ANSWER-The result of subtraction.
DISCOUNT - ANSWER-The amount by which a price is decreased
Ex. If shoes marked at $56 have a discount of $10, the new price is now $46.
Distributive Property - ANSWER-If you multiply a sum by a number, you will get the
same result if you multiply each addend by that number and then add the products. i.e.
4(7 + 6) = 4(7) + 4(6)
Equation - ANSWER-A mathematical sentence that uses an equals (=) sign to indicate
that the side to the left of the equals sign has the same value as the side to the right of
the equals sign
Ex. Theequationx+4=10hasasolutionofx=6
Evaluate - ANSWER-To replace variables with numbers and then simplify an
expression
Ex. To evaluate 4x + 10 when x = 3, replace "x" with 3 and simplify: 4(3)+10=12+10=22
Expanded Notation - ANSWER-Pointing out the place value of a digit by writing a
number as the digit × its place value. For example, 342 = (3 × 102 ) + (4 × 101) + (2 ×
10).
Exponent - ANSWER-A raised number that tells the power of the base.
i.e. 43 = 4 • 4 • 4 = 64
62 = 6 • 6 = 36
Factor (noun) - ANSWER-A number or symbol that divides evenly into a larger number.
For example, 6 is a factor of 24.
Geometric sequence - - ANSWER-A sequence where each term is found by multiplying
or dividing by the exact
same number to the previous term
Ex. 2, 6, 18, 54, 162...is a geometric sequence (multiply 3)
Greatest Common Factor (GCF) - ANSWER-The largest factor common to two or more
numbers.
Grouping Symbols - ANSWER-Ex. (parenthesis), [brackets], {braces}, long division bar
Identity Property - ANSWER-Has 2 parts. The sum of any number and Zero is that
number. The product of any number and One is that number. i.e. 8 + 0 = 8
45(1) = 45
Inequality - ANSWER-A mathematical sentence that shows the relationship between
quantities that are not equivalent.
i.e. 5‹8
