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For all problems there are free worksheets and solution sheets available for instant download. Just click on the link for a detail view.Is there a type of problem missing that you need? Register here, and add it as an item to our wish list!

# All available problems for grade 9

Junior High 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
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.
Factorisation of terms
Factorise a term with variables
Linear equation system - Gaussian algorithm
A system of linear equations is to be solved with the Gaussian elimination method.
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.
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.
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.

## Math topic Analysis

Name
Description
Quickname with link for detail view
Quadratic formula: Complete square to determine vertex
To determine the vertex of a square function, convert it to vertex form by completing the square.
Quadratic formula: Complete square to solve equation
To solve a quadratic equation, complete the square.

## Math topic Arithmetic

Name
Description
Quickname with link for detail view
Continue number sequence add subtract
Find the next numbers in a series
Linear equation system - Gaussian algorithm
A system of linear equations is to be solved with the Gaussian elimination method.
Multiplication of two natural numbers
Multiplication problems with defined number range
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 Elementary arithmetic

Name
Description
Quickname with link for detail view
Continue number sequence add subtract
Find the next numbers in a series
Multiplication of two natural numbers
Multiplication problems with defined number range
Table of multiplication problems
Matrix of multiplication problems with whole numbers

## Math topic Equations

Name
Description
Quickname with link for detail view
Linear equation system - Gaussian algorithm
A system of linear equations is to be solved with the Gaussian elimination method.
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.

## Math topic Functions

Name
Description
Quickname with link for detail view
Quadratic formula: Complete square to determine vertex
To determine the vertex of a square function, convert it to vertex form by completing the square.
Quadratic formula: Complete square to solve equation
To solve a quadratic equation, complete the square.

## Math topic Geometry

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.
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.
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.
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.

## 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 Puzzles

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
Intercept theorem statements right or wrong
Correct statements on the intercept theorems must be identified and marked.
Labyrinth
Find your way through the labyrinth.

## Math topic Whole numbers

Name
Description
Quickname with link for detail view
Multiplication of two natural numbers
Multiplication problems with defined number range
Table of multiplication problems
Matrix of multiplication problems with whole numbers
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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