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Junior High School, Middle School, High School.

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Name

Description

Quickname with link for detail view

Binomic formula fill in blanks

Fill gaps correctly in binomic formulas

Combine like terms with negated brackets

Combine like terms in a sum term and expand terms in negated brackets

Examine the elements of binomic formulas

Elements of a binomic formula and their expanded form are grouped in a table. Fill the empty spaces.

Expand and simplify binomic formula

Apply binomic formula expansion rules to simplify term.

Expand and simplify binomic formula, advanced

Apply binomic formula expansion rules to simplify term. Advanced version mit multiples of variables as summands.

Expand and simplify term, combine like terms

Expand a term with sums and products with numbers and variables. Combine like terms to simplify the result.

Extract binomic formula from term

A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand.

Insert two arithmetic operators

In an equation with three operands, insert two operators.

Match binomic formula to simplified form

Find matching terms of original and simplified binomic formulas in two lists.

Product of two sums term expansion

Expand a product term which has sums with variables as factors.

Simplify product term

A product term with number literals and variables as factors has to be simplified.

Simplify term with binomic formula, combine like terms

Simplify a term which contains a binomic formula

Solve linear equation

Solve a linear equation step-by-step by performing equivalent transformations.

Solve linear equation with distributive element

Solve a linear equation step-by-step by performing equivalent transformations.

Specify binomic formula for expanded term

A term is given which is the expanded form of a binomic formula. The original binomic formula has to be found.

Name

Description

Quickname with link for detail view

Complete equation for given straight line

In a straight line equation for a given line, gaps must be filled in correctly.

Draw a line for a given line equation

A line equation is given, draw the respective line in a coordinate plane.

Slope to be derived from given slope triangle

The slope shall be derived from a straight line with a gradient triangle in the coordinate system.

Slope triangle to be drawn for a given line

In a coordinate system with a given straight line a slope triangle is to be drawn.

Specify equation to straight line

For a given straight line on a coordinate plane, the corresponding equation must be specified.

Name

Description

Quickname with link for detail view

Columnar addition of decimal fractions

Columnar addition of multiple decimal fractions.

Compare two fractions and tell which one is larger

Insert the correct relational symbol between two fractions

Continue number sequence add subtract

Find the next numbers in a series

Convert fractions to like fractions

Convert multiple fractions to like quantities

Decimal fraction divide by power of 10

A decimal fraction has to be divided by a power of ten.

Decimal fraction divide by whole number

A decimal fraction has to be divided by a whole number.

Decimal fraction division

A decimal fraction has to be divided by another decimal fraction.

Decimal fraction multiply by power of 10

A decimal fraction has to be multiplied by a power of ten.

Decimal fraction multiply by whole number

A decimal fraction has to be multiplied by a whole number.

Decimal fraction to fraction bar notation

Decimals have to be converted to fraction bar notation.

Decimal fractions multiplication

Two decimals have to be multiplied.

Determine gcd and lcm by comparing multiples & divisors

For two given numbers, the gcd and lcm are determined by comparing lists of multiples or divisors

Direct proportionality - complete table

Apply the rule of three for a direct proportionality relationship and fill in missing values in a table.

Divide a fraction by a whole number

A fraction has to be divided by a whole number.

Division of fractions: Fill in the blanks

In a division term of two fractions, blanks have to be filled in.

Expand fractions by given number

Fractions are to be expanded by a given number

Fraction mult factor has to be filled in

Two fractions are multiplied, one fraction and result given.

Fraction to decimal conversion

A given fraction has to be converted to decimal notation.

Fractions addition subtraction fill in the blanks

In a sum term of fractions, blanks have to be filled in correctly

Fractions multiplication by whole numbers fill blanks

What whole number has be fraction been multiplied with?

Fractions of units of measurement

Identify fractions of area, price, weight, length given in different forms: 1/8, 20%, 0.3.

GCD computation with the Euclidean Algorithm

Compute the GCD step by step with the Euclidian Algorithm.

Insert relational operator

Insert the correct relational symbol between two decimals.

Insert the arithmetic operator

In an equation with two operands, insert the correct arithmetic symbol.

Insert two arithmetic operators

In an equation with three operands, insert two operators.

Inverse proportionality - complete table

Apply the rule of three for an inverse proportionality relationship and fill in missing values in a table.

lcm derived via prime factorization

The lcm is to be derived for two given numbers.

Magic triangle with sums to be filled in correctly

In a magic triangle, six numbers have to be filled in correctly.

Mean and median to be determined

For a series of numbers, the mean or median is to be found.

Median and mean - decide which number is which

For two given numbers for a number series, decide which is the median and which is the mean.

Median or mean value - Which one is it?

Decide whether a number is the median or mean of a given series of whole numbers.

Missing elements in unlike fractions

In unlike fractions of the same value, numerators or denominators have to be filled in.

Multiplication of negative and positive numbers

Multiplication of two negative numbers, training the rules for the product's sign.

Multiplication of two natural numbers

Multiplication problems with defined number range

Multiply fractions by whole numbers

A fraction has to multiplied by a whole number.

Negative decimals add and subtract

Negative decimal numbers are to be added and subtracted

Negative whole numbers add and subtract

Negative whole numbers are to be added and subtracted

Negative whole numbers add and subtract choose result

For an addition or subtraction problem with negative numbers, the correct result must be chosen.

Number wall sums of decimal numbers

In a number wall, blanks have to be filled in with decimal numbers.

Order fractions from least to greatest

A series of fractions has to be put in the correct order.

Order numbers according to size

Sort positive and negative decimal numbers and whole numbers by size

Percent base value calculation from base and rate

Percent rate and percentage are given, calculate the rate and fill in the empty box.

Percent calculate missing value

In a percentage term, one of the base, percentage, or percent rate has to be filled in.

Percent rate calculation from base and percentage

Base value and percentage are given, calculate the rate and fill in the empty box.

Percentage to fraction

A percentage has to be written in fraction bar notation.

Round whole numbers and decimals

Round whole numbers and decimal fractions

Rule of three word problem

Word problems that can be solved by applying the rule of three.

Scaled rectangle: determine original dimensions

A given rectangle must be measured, length and width converted and the area determined.

Subtract numbers in range

Multiple numbers with or without decimal places have to be subtracted.

Table of multiplication problems

Matrix of multiplication problems with whole numbers

Name

Description

Quickname with link for detail view

Decimal fraction divide by power of 10

A decimal fraction has to be divided by a power of ten.

Decimal fraction multiply by power of 10

A decimal fraction has to be multiplied by a power of ten.

Number line find midpoint

On a number line, the midpoint between to marks has to be identified.

Percentage to fraction

A percentage has to be written in fraction bar notation.

Name

Description

Quickname with link for detail view

Determine gcd and lcm by comparing multiples & divisors

For two given numbers, the gcd and lcm are determined by comparing lists of multiples or divisors

GCD computation with the Euclidean Algorithm

Compute the GCD step by step with the Euclidian Algorithm.

lcm derived via prime factorization

The lcm is to be derived for two given numbers.

Name

Description

Quickname with link for detail view

Columnar addition of decimal fractions

Columnar addition of multiple decimal fractions.

Continue number sequence add subtract

Find the next numbers in a series

Decimal fraction divide by power of 10

A decimal fraction has to be divided by a power of ten.

Decimal fraction divide by whole number

A decimal fraction has to be divided by a whole number.

Decimal fraction division

A decimal fraction has to be divided by another decimal fraction.

Decimal fraction multiply by power of 10

A decimal fraction has to be multiplied by a power of ten.

Decimal fraction multiply by whole number

A decimal fraction has to be multiplied by a whole number.

Decimal fractions multiplication

Two decimals have to be multiplied.

Direct proportionality - complete table

Apply the rule of three for a direct proportionality relationship and fill in missing values in a table.

Divide a fraction by a whole number

A fraction has to be divided by a whole number.

Division of fractions: Fill in the blanks

In a division term of two fractions, blanks have to be filled in.

Fraction mult factor has to be filled in

Two fractions are multiplied, one fraction and result given.

Fractions addition subtraction fill in the blanks

In a sum term of fractions, blanks have to be filled in correctly

Fractions multiplication by whole numbers fill blanks

What whole number has be fraction been multiplied with?

Inverse proportionality - complete table

Apply the rule of three for an inverse proportionality relationship and fill in missing values in a table.

Magic triangle with sums to be filled in correctly

In a magic triangle, six numbers have to be filled in correctly.

Multiplication of negative and positive numbers

Multiplication of two negative numbers, training the rules for the product's sign.

Multiplication of two natural numbers

Multiplication problems with defined number range

Multiply fractions by whole numbers

A fraction has to multiplied by a whole number.

Negative decimals add and subtract

Negative decimal numbers are to be added and subtracted

Negative whole numbers add and subtract

Negative whole numbers are to be added and subtracted

Negative whole numbers add and subtract choose result

For an addition or subtraction problem with negative numbers, the correct result must be chosen.

Number wall sums of decimal numbers

In a number wall, blanks have to be filled in with decimal numbers.

Subtract numbers in range

Multiple numbers with or without decimal places have to be subtracted.

Table of multiplication problems

Matrix of multiplication problems with whole numbers

Name

Description

Quickname with link for detail view

Complete equation for given straight line

In a straight line equation for a given line, gaps must be filled in correctly.

Draw a line for a given line equation

A line equation is given, draw the respective line in a coordinate plane.

Solve linear equation

Solve a linear equation step-by-step by performing equivalent transformations.

Solve linear equation with distributive element

Solve a linear equation step-by-step by performing equivalent transformations.

Specify equation to straight line

For a given straight line on a coordinate plane, the corresponding equation must be specified.

Name

Description

Quickname with link for detail view

Direct proportionality - complete table

Apply the rule of three for a direct proportionality relationship and fill in missing values in a table.

Draw a line for a given line equation

A line equation is given, draw the respective line in a coordinate plane.

Slope to be derived from given slope triangle

The slope shall be derived from a straight line with a gradient triangle in the coordinate system.

Slope triangle to be drawn for a given line

In a coordinate system with a given straight line a slope triangle is to be drawn.

Specify equation to straight line

For a given straight line on a coordinate plane, the corresponding equation must be specified.

Name

Description

Quickname with link for detail view

Add missing line segment name for intercept theorem

In a statement of the intercept theorems the missing line segment name has to be inserted.

Angle bisector construction

Construct the bisector for a given angle using just a compass and a straightedge.

Area of a triangle from side and height

The lengths of a side of a triangle and the corrensponding height are given. Calculate the area of the triangle.

Area of triangle draw height and measure

A triangle is given. Draw a height of choice, measure side and height and calculate area.

Area of triangle draw triangle and height and measure

A triangle has to be drawn with given dimensions. Draw a height of choice, measure side and height and calculate area.

Complete equation for given straight line

In a straight line equation for a given line, gaps must be filled in correctly.

Determine line segment length with intercept theorem

In application of the intercept theorem the fourth line segment length is to be calculated from three given lengths.

Draw a line for a given line equation

A line equation is given, draw the respective line in a coordinate plane.

Draw a triangle with given dimensions

Dimensions are given that define triangle. The corresponding triangle has to be drawn and sides and/or angles measured.

Empty coordinate plane for a custom made problem

An empty coordinate raster plane with custom text.

Hexominoes two are the same

Two shapes, similar to cube nets, are the same. Which ones?

Intercept theorem statements right or wrong

Correct statements on the intercept theorems must be identified and marked.

Match angles to angle types

Given angles have to be matched to given types

Perpendicular bisector construction for a line segment

For a given line segment, construct the perpendicular bisector using only a compass and a ruler.

Reflection in a mirror line

For a given shape the mirror image has to be drawn.

Rotate shape by multiples of 90 degrees

A shape has to be rotated by a multiple of 90 degrees.

Scaled rectangle: determine original dimensions

A given rectangle must be measured, length and width converted and the area determined.

Shapes 3d: Match shape and volume or surface formula

Match named or shown three-dimensional geometric shapes to the correct formula for volume or surface area.

Shapes 3d:Values and formulas for surface and volume

For three-dimensional geometric shapes, state the formula for the volume and/or surface area, or calculate these values.

Specify equation to straight line

For a given straight line on a coordinate plane, the corresponding equation must be specified.

Triangle draw circumcircle

The circumcircle and perpendicular bisectors have to be drawn for a given triangle.

Triangle draw incircle

The incircle and angle bisectors have to be drawn for a given triangle.

Triangle label parts

A fully or partly unlabeled triangle is given. The vertices, sides or angles have to be labeled correctly.

Triangle mark centroid

The medians and centroid have to be drawn for a given triangle.

Triangle missing value area, side or height

One of the values area, length of a side or corresponding height of a triangle are given. Determine the missing value.

Triangle sides and perimeter

For a given triangle, the sides and/or perimeter have to be determined.

Triangle: Draw heights, medians and bisectors

Draw heights, medians, angle bisectors or perpendicular bisectors for a triangle.

Name

Description

Quickname with link for detail view

Compare two fractions and tell which one is larger

Insert the correct relational symbol between two fractions

Mean and median to be determined

For a series of numbers, the mean or median is to be found.

Number line find midpoint

On a number line, the midpoint between to marks has to be identified.

Number line match fractions to markers

A number line, markers on the line and fractions are given - match markers to fractions.

Number line match numbers to markers

A number line, markers on the line and numbers are given - match markers to numbers.

Number line tell marked number

On a number line, numbers for marked positions have to be told.

Number line to be drawn for given numbers to be marked

Numbers are given, draw number line and mark positions.

Order fractions from least to greatest

A series of fractions has to be put in the correct order.

Order numbers according to size

Sort positive and negative decimal numbers and whole numbers by size

Name

Description

Quickname with link for detail view

Median and mean - decide which number is which

For two given numbers for a number series, decide which is the median and which is the mean.

Median or mean value - Which one is it?

Decide whether a number is the median or mean of a given series of whole numbers.

Negative whole numbers add and subtract

Negative whole numbers are to be added and subtracted

Negative whole numbers add and subtract choose result

For an addition or subtraction problem with negative numbers, the correct result must be chosen.

Number line match numbers to markers

A number line, markers on the line and numbers are given - match markers to numbers.

Number line to be drawn for given numbers to be marked

Numbers are given, draw number line and mark positions.

Name

Description

Quickname with link for detail view

Free space for your own problem

Generate a block of free space, with an optional headline.

Name

Description

Quickname with link for detail view

Fractions of units of measurement

Identify fractions of area, price, weight, length given in different forms: 1/8, 20%, 0.3.

Percent base value calculation from base and rate

Percent rate and percentage are given, calculate the rate and fill in the empty box.

Percent calculate missing value

In a percentage term, one of the base, percentage, or percent rate has to be filled in.

Percent rate calculation from base and percentage

Base value and percentage are given, calculate the rate and fill in the empty box.

Percentage to fraction

A percentage has to be written in fraction bar notation.

Name

Description

Quickname with link for detail view

Bar chart for multi data set table of values

Create a bar chart for a given table of values with multiple data sets.

Direct proportionality - complete table

Fractions of units of measurement

Identify fractions of area, price, weight, length given in different forms: 1/8, 20%, 0.3.

Horizontal bar chart for table of values

Create a bar chart for a given table of values.

Inverse proportionality - complete table

Apply the rule of three for an inverse proportionality relationship and fill in missing values in a table.

Read vertical bar chart with multiple data sets

Read values from a column chart or vertical bar chart with multiple data sets and create or complete a table of values.

Shapes 3d:Values and formulas for surface and volume

For three-dimensional geometric shapes, state the formula for the volume and/or surface area, or calculate these values.

Table of values from bar chart

Read values from a bar chart and create or complete a table of values.

Table of values from bar chart with multiple data sets

Read values from a bar chart with multiple data sets and create or complete a table of values.

Table of values from column chart

Read values from a column chart or vertical bar chart and create or complete a table of values.

Vertical bar chart for table of values

Create a column diagram or vertical bar chart for a given table of values.

Vertical bar chart for table with multiple data sets

Create a column diagram or vertical bar chart for a given table of values with multiple data sets.

Name

Description

Quickname with link for detail view

Area of a triangle from side and height

The lengths of a side of a triangle and the corrensponding height are given. Calculate the area of the triangle.

Area of triangle draw height and measure

A triangle is given. Draw a height of choice, measure side and height and calculate area.

Hexominoes two are the same

Two shapes, similar to cube nets, are the same. Which ones?

Triangle missing value area, side or height

One of the values area, length of a side or corresponding height of a triangle are given. Determine the missing value.

Name

Description

Quickname with link for detail view

Add missing line segment name for intercept theorem

In a statement of the intercept theorems the missing line segment name has to be inserted.

Continue number sequence add subtract

Find the next numbers in a series

Examine the elements of binomic formulas

Elements of a binomic formula and their expanded form are grouped in a table. Fill the empty spaces.

Extract binomic formula from term

A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand.

GCD computation with the Euclidean Algorithm

Compute the GCD step by step with the Euclidian Algorithm.

Insert the arithmetic operator

In an equation with two operands, insert the correct arithmetic symbol.

Insert two arithmetic operators

In an equation with three operands, insert two operators.

Intercept theorem statements right or wrong

Correct statements on the intercept theorems must be identified and marked.

Magic triangle with sums to be filled in correctly

In a magic triangle, six numbers have to be filled in correctly.

Match angles to angle types

Given angles have to be matched to given types

Name

Description

Quickname with link for detail view

Columnar addition of decimal fractions

Columnar addition of multiple decimal fractions.

Compare two fractions and tell which one is larger

Insert the correct relational symbol between two fractions

Complete equation for given straight line

In a straight line equation for a given line, gaps must be filled in correctly.

Convert fractions to like fractions

Convert multiple fractions to like quantities

Decimal fraction divide by power of 10

A decimal fraction has to be divided by a power of ten.

Decimal fraction divide by whole number

A decimal fraction has to be divided by a whole number.

Decimal fraction division

A decimal fraction has to be divided by another decimal fraction.

Decimal fraction multiply by power of 10

A decimal fraction has to be multiplied by a power of ten.

Decimal fraction multiply by whole number

A decimal fraction has to be multiplied by a whole number.

Decimal fraction to fraction bar notation

Decimals have to be converted to fraction bar notation.

Decimal fractions multiplication

Two decimals have to be multiplied.

Divide a fraction by a whole number

A fraction has to be divided by a whole number.

Division of fractions: Fill in the blanks

In a division term of two fractions, blanks have to be filled in.

Draw a line for a given line equation

A line equation is given, draw the respective line in a coordinate plane.

Expand fractions by given number

Fractions are to be expanded by a given number

Fraction mult factor has to be filled in

Two fractions are multiplied, one fraction and result given.

Fraction to decimal conversion

A given fraction has to be converted to decimal notation.

Fractions addition subtraction fill in the blanks

In a sum term of fractions, blanks have to be filled in correctly

Fractions multiplication by whole numbers fill blanks

What whole number has be fraction been multiplied with?

Insert relational operator

Insert the correct relational symbol between two decimals.

Magic triangle with sums to be filled in correctly

In a magic triangle, six numbers have to be filled in correctly.

Missing elements in unlike fractions

In unlike fractions of the same value, numerators or denominators have to be filled in.

Mixed numbers and improper fractions

Convert mixed numbers to improper fractions and vice versa

Multiply fractions by whole numbers

A fraction has to multiplied by a whole number.

Negative decimals add and subtract

Negative decimal numbers are to be added and subtracted

Number line find midpoint

On a number line, the midpoint between to marks has to be identified.

Number line match fractions to markers

A number line, markers on the line and fractions are given - match markers to fractions.

Number line match numbers to markers

A number line, markers on the line and numbers are given - match markers to numbers.

Number line tell marked number

On a number line, numbers for marked positions have to be told.

Number line to be drawn for given numbers to be marked

Numbers are given, draw number line and mark positions.

Number wall sums of decimal numbers

In a number wall, blanks have to be filled in with decimal numbers.

Order fractions from least to greatest

A series of fractions has to be put in the correct order.

Order numbers according to size

Sort positive and negative decimal numbers and whole numbers by size

Round whole numbers and decimals

Round whole numbers and decimal fractions

Slope to be derived from given slope triangle

The slope shall be derived from a straight line with a gradient triangle in the coordinate system.

Slope triangle to be drawn for a given line

In a coordinate system with a given straight line a slope triangle is to be drawn.

Specify equation to straight line

For a given straight line on a coordinate plane, the corresponding equation must be specified.

Subtract numbers in range

Multiple numbers with or without decimal places have to be subtracted.

Name

Description

Quickname with link for detail view

Bar chart for multi data set table of values

Create a bar chart for a given table of values with multiple data sets.

Horizontal bar chart for table of values

Create a bar chart for a given table of values.

Mean and median to be determined

For a series of numbers, the mean or median is to be found.

Median and mean - decide which number is which

For two given numbers for a number series, decide which is the median and which is the mean.

Median or mean value - Which one is it?

Decide whether a number is the median or mean of a given series of whole numbers.

Table of values from bar chart

Read values from a bar chart and create or complete a table of values.

Table of values from bar chart with multiple data sets

Read values from a bar chart with multiple data sets and create or complete a table of values.

Table of values from column chart

Read values from a column chart or vertical bar chart and create or complete a table of values.

Name

Description

Quickname with link for detail view

Mean and median to be determined

For a series of numbers, the mean or median is to be found.

Median and mean - decide which number is which

For two given numbers for a number series, decide which is the median and which is the mean.

Median or mean value - Which one is it?

Decide whether a number is the median or mean of a given series of whole numbers.

Name

Description

Quickname with link for detail view

Divide a fraction by a whole number

A fraction has to be divided by a whole number.

Insert the arithmetic operator

In an equation with two operands, insert the correct arithmetic symbol.

Insert two arithmetic operators

In an equation with three operands, insert two operators.

Magic triangle with sums to be filled in correctly

In a magic triangle, six numbers have to be filled in correctly.

Mean and median to be determined

For a series of numbers, the mean or median is to be found.

Median and mean - decide which number is which

For two given numbers for a number series, decide which is the median and which is the mean.

Median or mean value - Which one is it?

Decide whether a number is the median or mean of a given series of whole numbers.

Multiplication of two natural numbers

Multiplication problems with defined number range

Multiply fractions by whole numbers

A fraction has to multiplied by a whole number.

Negative whole numbers add and subtract

Negative whole numbers are to be added and subtracted

Negative whole numbers add and subtract choose result

For an addition or subtraction problem with negative numbers, the correct result must be chosen.

Subtract numbers in range

Multiple numbers with or without decimal places have to be subtracted.

Table of multiplication problems

Matrix of multiplication problems with whole numbers

Name

Description

Quickname with link for detail view

Bar chart for multi data set table of values

Create a bar chart for a given table of values with multiple data sets.

Direct proportionality - complete table

Fractions of units of measurement

Identify fractions of area, price, weight, length given in different forms: 1/8, 20%, 0.3.

Horizontal bar chart for table of values

Create a bar chart for a given table of values.

Inverse proportionality - complete table

Read vertical bar chart with multiple data sets

Read values from a column chart or vertical bar chart with multiple data sets and create or complete a table of values.

Rule of three word problem

Word problems that can be solved by applying the rule of three.

Table of values from bar chart

Read values from a bar chart and create or complete a table of values.

Table of values from bar chart with multiple data sets

Read values from a bar chart with multiple data sets and create or complete a table of values.

Table of values from column chart

Read values from a column chart or vertical bar chart and create or complete a table of values.

Vertical bar chart for table of values

Create a column diagram or vertical bar chart for a given table of values.

Vertical bar chart for table with multiple data sets

Create a column diagram or vertical bar chart for a given table of values with multiple data sets.

Name

Titke

Description

Binomic formulas: Expand and simplify

This worksheet provides basic exercises to become familiar with the binomic formulas.

Binomic formulas: Advanced applications

Use the binomic formulas to simplify and expand terms.

Label the basic parts of a triangle

This work package is about the basic parts: Vertices, angles and sides.

These informational pages with samples describe math problems that can be combined on custom math worksheets with solutions for home and K-12 school use.

Please visit the dw math main page for more information!

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Please visit the dw math main page for more information!

Privacy policy and imprint

Deutsche Seiten