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All available problems for grade 8

Junior High School, Middle School, High School.

If you remember the quickname of a problem, you can add it to your worksheet very quickly: On the bottom right of the worksheet editor, there is a quick entry form field.

Math topic Algebra

Name
Description
Quickname with link for detail view
Binomic formula fill in blanks
Fill gaps correctly in binomic formulas
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.
Factorisation of terms
Factorise a term with variables
Match binomic formula to simplified form
Find matching terms of original and simplified binomic formulas in two lists.
Product term expansion
Expand product term with variables.
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.

Math topic Analysis

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.

Math topic Arithmetic

Name
Description
Quickname with link for detail view
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 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.
Fraction to decimal conversion
A given fraction has to be converted to decimal notation.
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.
Multiplication
Multiplication problems with defined number range
Multiplication of negative numbers
Multiplication of two negative numbers, training the rules for the product's sign.
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.
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 calculation
Calculate percentage from base value and rate.
Table of multiplication problems
Matrix of multiplication problems with whole numbers

Math topic Decimal system

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.

Math topic Elementary arithmetic

Name
Description
Quickname with link for detail view
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 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.
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.
Multiplication
Multiplication problems with defined number range
Multiplication of negative numbers
Multiplication of two negative numbers, training the rules for the product's sign.
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.
Table of multiplication problems
Matrix of multiplication problems with whole numbers

Math topic Equations

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.

Math topic Functions

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.

Math topic Geometry

Name
Description
Quickname with link for detail view
Add missing line name for intercept theorem
In a statement of the intercept theorems the missing line segment name has to be inserted.
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.
Empty raster
Empty squared free space for custom made problems.
Intercept theorem statements right or wrong
Correct statements on the intercept theorems must be identified and marked.
Reflection in a mirror line
For a given shape the mirror image has to be drawn.
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.

Math topic Number spaces

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.
Number line tell marked number
On a number line, numbers for marked positions have to be told.
Number line to draw
Numbers are given, draw number line and mark positions.

Math topic Numbers

Name
Description
Quickname with link for detail view
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 draw
Numbers are given, draw number line and mark positions.

Math topic Other

Name
Description
Quickname with link for detail view
Custom text block
Insert multiple custom text blocks.
Custom text lines
Insert custom text lines.
Empty raster
Empty squared free space for custom made problems.
Free space for your own problem
Generate a block of free space, with an optional headline.

Math topic Percentage & interest

Name
Description
Quickname with link for detail view
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 calculation
Calculate percentage from base value and rate.

Math topic Physical Quantities

Name
Description
Quickname with link for detail view
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.

Math topic Planes and figures

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.
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.

Math topic Puzzles

Name
Description
Quickname with link for detail view
Add missing line 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.
Intercept theorem statements right or wrong
Correct statements on the intercept theorems must be identified and marked.
Labyrinth
Find your way through the labyrinth.
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.

Math topic Rational 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.
Decimal fraction divide by power of 10
A decimal fraction has to be divided by a power of ten.
Decimal fraction divide 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.
Draw a line for a given line equation
A line equation is given, draw the respective line in a coordinate plane.
Fraction to decimal conversion
A given fraction has to be converted to decimal notation.
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.
Negative decimals add and subtract
Negative decimal numbers are to be added and subtracted
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 draw
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.
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.

Math topic Whole numbers

Name
Description
Quickname with link for detail view
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.
Multiplication
Multiplication problems with defined number range
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.
Table of multiplication problems
Matrix of multiplication problems with whole numbers

dw-Math worksheet templates for this grade

Name
Titke
Description
Label advanced parts of a triangle
Construct perpendicular bisectors, angle bisectors and medians.
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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