Worksheets6th grade Math cumulative review
Total questions: 100
Worksheet time: 3hrs 30mins
What is the absolute value of -5?
-5
5
0
10
What does the Addition Property of Equality state?
When you subtract the same number to each side of an equation, the two sides remain equal.
When you add different numbers to each side of an equation, the two sides remain equal.
When you add the same number to each side of an equation, the two sides remain unequal.
When you add the same number to each side of an equation, the two sides remain equal.
What is the result of adding any number and 0?
The number itself
0
1
The opposite of the number
What is the additive inverse of 8?
8
0
-8
1/8
What is the result according to the Addition Property of Inequality when you add the same number to each side of an inequality?
The inequality remains true.
The inequality becomes an equation.
The inequality reverses.
The inequality becomes false.
What is the sum of an integer and its additive inverse?
The sum is the same as the integer
The sum is 1
The sum is 0
The sum is the additive inverse of the integer
What does an angle consist of?
A figure formed by two lines intersecting
A figure formed by two rays with the same endpoint
A figure formed by two circles intersecting
A figure formed by two points on a line
How is area measured?
In linear units
In cubic units
In square units
In circular units
What does the Associative Property of Addition and Multiplication state?
Changing the grouping of addends or factors changes the sum or product
Changing the grouping of addends or factors does not change the sum or product
Changing the order of addends or factors changes the sum or product
Changing the order of addends or factors does not change the sum or product
What is the base of a power?
The exponent in the power
The number that is being divided
The repeated factor in the power
The number that is being subtracted
What does a bar graph represent?
A graph in which the lengths of bars are used to represent and compare data
A graph that shows data over a continuous period
A graph that uses dots to represent values
A graph that uses lines to connect data points
What is a box-and-whisker plot?
A type of graph that represents a data set along a number line by using the least value, the greatest value, and the averages of the data
A type of graph that represents a data set along a number line by using the least value, the greatest value, and the modes of the data
A type of graph that represents a data set along a number line by using the least value, the greatest value, and the medians of the data
A type of graph that represents a data set along a number line by using the least value, the greatest value, and the quartiles of the data
What does the term 'capacity' refer to in mathematics?
The ability to perform mathematical operations
The amount a container can hold
The maximum number of items in a set
The volume of a solid figure
What is a coefficient in an algebraic expression?
The variable part of a term
The exponent of a term
The numerical factor of a term that contains a variable
The sum of all terms in an expression
Which of the following is a common factor of 8 and 10?
3
5
7
9
What are common multiples?
Multiples that are unique to one number
Multiples that are shared by two or more numbers
The first two multiples of a number
The last two multiples of a number
Which property states that changing the order of addends or factors does not change the sum or product?
Associative Property
Distributive Property
Commutative Property
Identity Property
What is a complex fraction?
A fraction with a whole number in the numerator or denominator
A fraction that has at least one fraction in the numerator, denominator, or both
A fraction with a negative numerator or denominator
A fraction that cannot be simplified further
What is a composite figure?
A figure made up of circles and ellipses
A figure made up of only triangles
A figure made up of triangles, squares, rectangles, and other two-dimensional figures
A three-dimensional figure made up of various shapes
Which of the following is a composite number?
2
3
11
9
What is a constant in an algebraic expression?
A term with a variable
The number in a direct variation equation
A term without a variable
The variable whose value depends on another variable
What is the constant of proportionality in the equation y = 2x?
y
x
2
0
What is a conversion factor?
A number that changes the value of a unit
A rate that equals 1
A method to calculate area
A type of algebraic expression
What is the conversion factor between miles and feet?
1 mile = 528 feet
1 mile = 5280 feet
1 mile = 52800 feet
1 mile = 528000 feet
What are cross products in a proportion?
The sum of the products of the means and extremes
The difference between the products of the means and extremes
The products of the means and extremes
The quotient of the products of the means and extremes
According to the Cross Products Property, what is true about the cross products of a proportion?
They are always unequal
They are always equal
They are always greater than 1
They are always less than 1
What are cubic units?
The units used to measure area
The units used to measure length
The units volume is measured in
The units used to measure weight
In the equation y = 5x – 8, which variable is the dependent variable?
x
5
8
y
What is the result when one number is subtracted from another number called?
Sum
Product
Difference
Quotient
What does a direct variation between two quantities x and y show when y = kx, where k is a number and k ≠ 0?
The graph of y = kx is a line with a slope of k that passes through the origin.
The graph of y = kx is a parabola that opens upwards.
The graph of y = kx is a horizontal line.
The graph of y = kx is a vertical line.
What is a decrease in the original price of an item called?
Increase
Markup
Discount
Surcharge
What remains true when you divide each side of an equation by the same nonzero number?
The two sides become unequal.
The equation becomes an inequality.
The two sides remain equal.
The equation is no longer valid.
What is the Division Property of Inequality?
When you divide each side of an inequality by the same nonzero number, the inequality remains true.
When you divide each side of an inequality by the same nonzero number, the inequality becomes an equation.
When you divide each side of an inequality by the same nonzero number, the inequality reverses.
When you divide each side of an inequality by the same nonzero number, the inequality becomes undefined.
What is an edge in geometric terms?
A point where two lines meet.
A line segment where two faces intersect.
The surface of a three-dimensional object.
The midpoint of a line segment.
What is an equation?
A mathematical sentence that uses a greater than sign, >, to show that one expression is larger than another.
A mathematical sentence that uses a division sign, ÷, to show the division of two expressions.
A mathematical sentence that uses an equal sign, =, to show that two expressions are equal.
A mathematical sentence that uses a subtraction sign, -, to show the difference between two expressions.
What is an equation in two variables?
An equation that represents three quantities that change in relationship to one another
An equation that represents two quantities that change in relationship to one another
An equation that represents two quantities that do not change
An equation that has no variables
Which of the following is an example of equivalent equations?
3x + 5 = 15 and 3x = 10
x/2 = 4 and 2x = 8
2x - 8 = 0 and 2x = 8
x^2 = 4 and x = 2
What are equivalent expressions?
Expressions with different values
Expressions with the same variable
Expressions with the same value
Expressions that are equations
What are equivalent ratios?
Two ratios that describe different relationships
Two ratios that describe the same relationship
Two ratios that have different unit rates
Two ratios that are not comparable
What does an exponent indicate in a power?
The number of times the exponent is used as a factor
The number of times the base is subtracted
The number of times the base is added
The number of times the base is used as a factor
What is an expression in mathematics?
A mathematical phrase containing only numbers
A mathematical phrase containing only operations
A mathematical phrase containing numbers, operations, and/or variables
A mathematical phrase containing only variables
What is a face in the context of a polyhedron?
A line segment where two faces meet
A corner point where edges meet
A flat surface of a polyhedron
A point where three or more edges meet
What is a factor pair?
A pair of numbers that are added to get a product
Two whole numbers other than zero that are multiplied together to get a sum
Two whole numbers other than zero that are multiplied together to get a product
A pair of prime numbers that are multiplied together
What does factoring an expression involve?
Adding a numerical expression or algebraic expression as a sum of factors
Writing a numerical expression or algebraic expression as a product of sums
Writing a numerical expression or algebraic expression as a product of factors
Dividing a numerical expression or algebraic expression into a difference of factors
What is a factor tree?
A diagram that shows the addition of factors of a number
A diagram that shows the subtraction of factors of a number
A diagram that shows the multiplication of factors of a number
A diagram that shows the prime factorization of a number
What does the first quartile (Q1) represent in a data set?
The median of the upper half of a data set
The average value of a data set
The median of the lower half of a data set
The mode of a data set
What is included in a five-number summary?
Mean, median, mode, range, and standard deviation
Minimum value, Q1, median, Q3, and maximum value
First quartile, second quartile, third quartile, fourth quartile, and median
Median, mode, range, variance, and standard deviation
What does frequency refer to in statistics?
The number of data values in a sample
The number of data values in an interval
The number of possible outcomes in an experiment
The number of times an experiment is conducted
What is a frequency table?
A graph that shows all the solutions of an inequality on a number line.
A table used to group data values into intervals.
A mathematical sentence that compares expressions.
The set of whole numbers and their opposites.
What does the greatest common factor (GCF) refer to?
The smallest of the common factors of two or more numbers.
The variable representing the quantity that can change freely in an equation.
The set of whole numbers and their opposites.
The greatest of the common factors of two or more numbers.
Which variable is the independent variable in the equation y = 5x – 8?
y
5
8
x
What are integers?
A mathematical sentence that compares expressions.
Money paid or earned for the use of money.
The set of whole numbers and their opposites.
A bar graph that shows the frequency of data values in intervals.
What is an inequality?
A table used to group data values into intervals.
The set of whole numbers and their opposites.
A mathematical sentence that compares expressions.
Money paid or earned for the use of money.
What is a histogram?
A table used to group data values into intervals.
A mathematical sentence that compares expressions.
A bar graph that shows the frequency of data values in intervals of the same size.
The set of whole numbers and their opposites.
What does interest refer to in financial terms?
A mathematical sentence that compares expressions.
The set of whole numbers and their opposites.
Money paid or earned for the use of money.
A bar graph that shows the frequency of data values in intervals of the same size.
What is the interquartile range (IQR) of the data set 3, 4, 8, 16, 21, 26?
4
17
23
26
What is the least common multiple (LCM) of 10 and 15?
15
30
45
60
Which of the following is an example of inverse operations?
Addition and subtraction
Multiplication and division
Both A and B
Neither A nor B
What is the least common denominator (LCD) of the fractions 3/4 and 5/6?
4
6
12
24
Which of the following represents like terms?
4 and 8
2x and 7x
4 and 2x
8 and 7x
What is a line segment?
A part of a line that consists of one point
A part of a line that consists of two points, called endpoints, and all the points on the line between the endpoints
A line that extends infinitely in one direction
A line that extends infinitely in both directions
Which of the following is an example of a linear expression?
4x^2 + 3x - 5
-4x + 3x + 5 - 1/6
2x^3 - 3x + 7
1/2x - 3/4
What is the markup on a hat that a store buys for $12 and sells for $20?
$8
$12
$20
$32
How is the mean calculated for the values 7, 4, 8, and 9?
(7 + 4 + 8 + 9) / 4
(7 + 4 + 8 + 9) / 3
(7 + 4) / (8 + 9)
7 + 4 + 8 + 9
What is the mean absolute deviation of the data set 5, 7, 12, 16?
4
10
16
40
Which of the following are measures of variation?
Range, interquartile range, mean absolute deviation
Mean, median, mode
Metric system
Markup, mean, median
What is the median of the data set 24, 25, 29, 33, 38?
24
25
29
33
Which of the following is a measure of center?
Mean absolute deviation
Metric system
Range
Mode
What are the units of the metric system mentioned in the document?
Centimeter, meter, liter, kilogram
Inch, foot, yard, pound
Mile, gallon, ton
Square foot, cubic meter, quart
What is the mode of the data set 3, 4, 4, 7, 7, 9, 12?
4 and 7
4 and 12
7 and 9
3 and 9
What is the product of any number and 0 according to the Multiplication Properties of Zero and One?
The number itself
0
1
Undefined
According to the Multiplication Property of Equality, if you multiply each side of an equation by the same nonzero number, what happens to the two sides?
They become unequal
They remain equal
They both become zero
One side becomes the multiplicative inverse of the other
What is the result when you multiply a nonzero number by its reciprocal, as stated in the Multiplicative Inverse Property?
0
The number itself
1
The reciprocal of the number
What are negative numbers?
Numbers that are greater than 0
Numbers that are equal to 0
Numbers that are less than 0
Numbers that are multiples of 10
What does a number line represent?
A line whose points are associated with letters that increase from left to right
A line whose points are associated with numbers that decrease from left to right
A line whose points are associated with numbers that increase from left to right
A line that represents only positive numbers
What is a numerical expression?
An expression that contains only letters and operations
An expression that contains only numbers and operations
An expression that contains only numbers
An expression that contains no operations
What is a net in mathematical terms?
A three-dimensional representation of a solid
A one-dimensional representation of a solid
A two-dimensional representation of a solid
A numerical expression
What are opposites in the context of numbers on a number line?
Two numbers that are the same distance from 1 on a number line, but on the same side of 1
Two numbers that are the same distance from 0 on a number line, but on opposite sides of 0
Two numbers that are next to each other on a number line
Two numbers that add up to 0
What is an ordered pair?
A pair of numbers used to perform operations in mathematics
A pair of numbers (x, y) used to locate a point in a coordinate plane
Two numbers that are arranged in a specific order for a function
A pair of numbers that are both even or both odd
What is an outlier in a data set?
The most frequently occurring number in a data set
A data value that is much greater or much less than the other values
The middle value in a data set when it is ordered from least to greatest
The average of all the numbers in a data set
What is a parallelogram?
A triangle with one pair of parallel sides
A quadrilateral with all sides of equal length
A quadrilateral with two pairs of parallel sides
A six-sided figure with opposite sides parallel
What does the term "percent" mean?
A ratio where the whole is 1000
A part-to-whole ratio where the whole is 10
A part-to-whole ratio where the whole is 100
A part-to-whole ratio where the whole is 1
What is the ordered pair that represents the origin in a coordinate plane?
(1, 1)
(0, 1)
(1, 0)
(0, 0)
What is the correct order of operations when evaluating expressions with more than one operation?
Perform addition, then multiplication
Perform multiplication, then subtraction
Perform multiplication, then addition
Perform addition, then division
Which of the following is an example of parallel lines?
Two lines in the same plane that intersect at one point
Two lines in the same plane that intersect at ninety degrees
Two lines in the same plane that do not intersect
Two lines in different planes that do not intersect
What is the formula for calculating percent of change?
percent of change = new amount - original amount
percent of change = amount of change / original amount
percent of change = original amount / amount of change
percent of change = (original amount + new amount) / 2
If the original amount is 20 and the new amount after increase is 30, what is the percent of increase?
10%
25%
50%
75%
What is percent error?
The percent that a quantity decreases from the original amount
The percent of change when the original amount increases
The percent that an estimated quantity differs from the actual amount
The square of a whole number
Which of the following is a perfect square?
48
49
50
51
What is a polygon?
A solid whose faces are all polygons
A flat surface that extends without end in all directions
A closed figure in a plane that is made up of three or more line segments that intersect only at their endpoints
The square of a whole number
What is a polyhedron?
A flat surface that extends without end in all directions
A closed figure in a plane that is made up of three or more line segments that intersect only at their endpoints
A solid whose faces are all polygons
The square of a whole number
What are positive numbers?
Numbers that are less than 0
Numbers that are greater than 0
Numbers that are equal to 0
All real numbers
What is the prime factorization of 60?
2 × 2 × 3 × 5
2 × 3 × 5
2 × 2 × 2 × 3 × 5
3 × 3 × 5 × 5
What is a prime number?
A whole number greater than 1 with exactly three factors, including 1 and itself
A whole number greater than 1 with exactly two factors, including 1 and itself
Any number that can be divided by 2
Any number that can be divided by itself and 1
What is the principal in a financial context?
The total amount of interest earned
The amount of money borrowed or deposited
The interest rate applied to a loan
The duration of a loan or investment
What is a prism in geometry?
A solid figure with one base that is a circle
A polyhedron that has two parallel, identical bases; the lateral faces are parallelograms
A solid figure with six congruent square faces
A two-dimensional shape with four equal sides
What is the product of 4 and 3?
7
12
13
24
What is a proportion in mathematics?
An equation stating that two differences are equivalent
An equation stating that two sums are equivalent
An equation stating that two products are equivalent
An equation stating that two ratios are equivalent
What are the four regions created by the intersection of the horizontal and vertical number lines in a coordinate plane called?
Quadrants
Quartiles
Quadrilaterals
Quotients
What is a polygon with four sides known as?
Quadrants
Quartiles
Quadrilaterals
Quotients
