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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 arithmentic 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.

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

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.

Continue number sequence add subtract

Find the next numbers in a series

Convert to like fractions

Convert multiple fractions to like quantities

Decimal fraction div by power of 10

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

Decimal fraction div by whole no

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.

Dividing fractions by whole numbers

A fraction has to be divided by a whole number.

Dividing 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.

Fraction to decimal conversion

A given fraction has to be converted to decimal notation.

Fractions add sub fill in the blanks

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

Fractions mult 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.

Fractions omsert correct relational symbol

Insert the correct relational symbol between two fractions

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 arithmentic operator

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

Insert two arithmentic 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.

Magic triangle sums

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.

Multiplication of negative numbers

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

Multiply fractions by whole numbers

A fraction has to multiplied by a whole number.

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.

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

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

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 div by power of 10

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

Decimal fraction div by whole no

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.

Dividing fractions by whole numbers

A fraction has to be divided by a whole number.

Dividing 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 add sub fill in the blanks

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

Fractions mult 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 sums

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

Multiplication of negative numbers

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

Multiply fractions by whole numbers

A fraction has to multiplied by a whole number.

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

Decimal fraction div 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.

Name

Description

Quickname with link for detail view

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

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.

Draw a line for a given line equation

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

Draw a triangle w/ 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?

Match angles to angle types

Given angles have to be matched to given types

Reflection in a mirror line

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

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

Fractions omsert correct relational symbol

Insert the correct relational symbol between two fractions

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.

Order fractions from least to greatest

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

Name

Description

Quickname with link for detail view

Number line match numbers to markers

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

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

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 arithmentic operator

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

Insert two arithmentic operators

In an equation with three operands, insert two operators.

Magic triangle sums

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.

Convert to like fractions

Convert multiple fractions to like quantities

Decimal fraction div by power of 10

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

Decimal fraction div by whole no

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.

Dividing fractions by whole numbers

A fraction has to be divided by a whole number.

Dividing 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.

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 add sub fill in the blanks

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

Fractions mult by whole numbers fill blanks

What whole number has be fraction been multiplied with?

Fractions omsert correct relational symbol

Insert the correct relational symbol between two fractions

Insert relational operator

Insert the correct relational symbol between two decimals.

Magic triangle sums

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.

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 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.

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

Dividing fractions by whole numbers

A fraction has to be divided by a whole number.

Insert the arithmentic operator

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

Insert two arithmentic operators

In an equation with three operands, insert two operators.

Magic triangle sums

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

Multiply fractions by whole numbers

A fraction has to multiplied by a whole number.

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.

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 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!

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