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# All available problems for grade 6

Elementary School, Primary School, Junior High School, Middle School.

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## Math topic Algebra

Name
Description
Quickname with link for detail view
Binomic formula fill in blanks
Fill gaps correctly in binomic formulas
Combine like terms
Combine like terms in a sum term
Combine like terms with negated brackets
Combine like terms in a sum term and expand terms in negated brackets
Distributive law - use to evaluate
Evaluate terms by multiplying out using distributive law
Distributive law: Match complex and expanded terms
Find pairs of complex terms and their corresponding expanded form.
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.
Insert two arithmetic operators
In an equation with three operands, insert two operators.
Simplify term with binomic formula, combine like terms
Simplify a term which contains a binomic formula
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
Numbers with or without decimal places have to be added.
Columnar addition of multiple decimal fractions.
Compare two fractions and tell which one is larger
Insert the correct relational symbol between two fractions
Complete the table with scaled lengths
In a table with scale, scaled length and real length, missing values must be added
Find the next numbers in a series
Convert fractions to like fractions
Convert multiple fractions to like quantities
Convert the value of a scaled length
Conversion of lengths at a given scale in both directions
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.
Distributive law - use to evaluate
Evaluate terms by multiplying out using distributive law
Divide a fraction by a whole number
A fraction has to be divided by a whole number.
Divide two fractions
Division of two fractions.
Divisibility rules to be specified and applied
The rules on divisibility have to be specified and applied.
Division of fractions: Fill in the blanks
In a division term of two fractions, blanks have to be filled in.
Double a given number
Double a number with or without decimal places.
Expand fractions by given number
Fractions are to be expanded by a given number
Find number in the middle
For two given numbers, find the number in the middle, the midpoint.
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.
Fraction to percentage
A fraction is given, write as a percentage.
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.
Halve numbers
Divide numbers by two, whole numbers or with decimal places.
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.
Long division with whole numbers, blanks to be filled
Division of two whole numbers, with remainder, written long division with blanks to be filled in.
Magic triangle with sums to be filled in correctly
In a magic triangle, six numbers have to be filled in correctly.
Matrix of addition and subtraction problems
Table of addition and subtraction problems
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 by power of ten
Multiplication of a whole numbers with powers of ten or multiples of powers of ten
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
Multiply two fractions.
Multiply fractions by whole numbers
A fraction has to multiplied by a whole number.
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.
Number wall sums of whole numbers
In the number wall missing sums have to be added.
Number wall with physical quantities
Fill in the blank boxes in the pyramid of units of measurement.
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 calculation
Calculate percentage from base value and rate.
Percentage to fraction
A percentage has to be written in fraction bar notation.
Reduce fractions
A fraction has to be reduced to lowest terms.
Reduce fractions by
Fractions are to be reduced by a given number
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.
Rule of three word problem, easy variant
Easy word problems that can be solved by applying the rule of three. No initial division necessary, first factor is one.
Scale factor to be determined
The scale used for an illustration shall be determined.
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.
Subtraction two numbers with specific no of places
Subtraction of two numbers with controlled number of digits for each number.
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.
Divisibility rules to be specified and applied
The rules on divisibility have to be specified and applied.
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.
Roman numerals, convert from and to decimal system
Numbers have to be converted from the decimal system to roman numerals and vice versa.

## Math topic Divisibility

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
Divisibility rules to be specified and applied
The rules on divisibility have to be specified and applied.
Factor or multiple?
Determine whether a number is a factor or multiple of another.
Factors of a number
For a given number, all factors have to be listed.
GCD computation with the Euclidean Algorithm
Compute the GCD step by step with the Euclidian Algorithm.
Halve numbers
Divide numbers by two, whole numbers or with decimal places.
lcm derived via prime factorization
The lcm is to be derived for two given numbers.
Prime factorization
Perform the prime factorization for a given number.
Prime test
Determine if number is prime.
Test for divisibility
A row of numbers is presented. Delete those that are not divisible by a given divisor.

## Math topic Elementary arithmetic

Name
Description
Quickname with link for detail view
Numbers with or without decimal places have to be added.
Columnar addition of multiple decimal fractions.
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.
Divide two fractions
Division of two fractions.
Division of fractions: Fill in the blanks
In a division term of two fractions, blanks have to be filled in.
Double a given number
Double a number with or without decimal places.
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?
Halve numbers
Divide numbers by two, whole numbers or with decimal places.
Inverse proportionality - complete table
Apply the rule of three for an inverse proportionality relationship and fill in missing values in a table.
Long division with whole numbers, blanks to be filled
Division of two whole numbers, with remainder, written long division with blanks to be filled in.
Magic triangle with sums to be filled in correctly
In a magic triangle, six numbers have to be filled in correctly.
Matrix of addition and subtraction problems
Table of addition and subtraction problems
Multiplication by power of ten
Multiplication of a whole numbers with powers of ten or multiples of powers of ten
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
Multiply two fractions.
Multiply fractions by whole numbers
A fraction has to multiplied by a whole number.
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.
Number wall sums of whole numbers
In the number wall missing sums have to be added.
Number wall with physical quantities
Fill in the blank boxes in the pyramid of units of measurement.
Subtract numbers in range
Multiple numbers with or without decimal places have to be subtracted.
Subtraction two numbers with specific no of places
Subtraction of two numbers with controlled number of digits for each number.
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.
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
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.

## Math topic Geometry

Name
Description
Quickname with link for detail view
A square is also a rectangle
Identify correct statements for 2d geometric shapes
Angle bisector construction
Construct the bisector for a given angle using just a compass and a straightedge.
Angle size measurement
Measure the size of a given angle
Angle to be drawn
An angle of a given size has to be drawn.
Angle types
For a given angle, the correct type has to be marked.
Complete equation for given straight line
In a straight line equation for a given line, gaps must be filled in correctly.
Complete the table with scaled lengths
In a table with scale, scaled length and real length, missing values must be added
Convert the value of a scaled length
Conversion of lengths at a given scale in both directions
Coordinates of points in the coordinate system
Identify the coordinates of points on a cartesian coordinate plane.
Draw 3d geometric shape in perspective
Draw an oblique image of the three-dimensional geometric shape given.
Draw a line for a given line equation
A line equation is given, draw the respective line in a coordinate plane.
Draw shape on coordinate plane with given points
A shape is formed by connecting points in a coordinate plane that have to be marked first.
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.
Geometric shape: Add missing invisible lines
The invisible lines are missing in an an oblique sketch of a geometric shape. Add them to the drawing.
Lines are missing in an an oblique sketch of a geometric shape. Add hidden and visible lines to the drawing.
Hexominoes two are the same
Two shapes, similar to cube nets, are the same. Which ones?
Mark point on line segment with specified distance
On a given line segment AB, mark point C with distance x to A or B.
Mark points on a coordinate plane
Points with whole number coordinates have to be marked on a coordinate plane.
Match angles to angle types
Given angles have to be matched to given types
Measure length of line segment on coordinate plane
Measure the length of a given line segment on a coordinate plane.
Measure part of line segment
A line AB is given with a point C marked on it. Measure the length of AC or BC.
Measure part of line segment on coordinate plane
A line AB is given on a coordinate plane with a point C marked on it. Measure the length of AC or BC.
Name the 2d geometric shape
Name the two dimensional flat geometric shape shown
Name the 3d geometric shape
An oblique sketch of a geometric shape is shown. Name the shape.
Perpendicular bisector construction for a line segment
For a given line segment, construct the perpendicular bisector using only a compass and a ruler.
Points matched to correct coordinates
A series of points must be assigned to the correct given coordinates in the Cartesian coordinate system.
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.
Scale factor to be determined
The scale used for an illustration shall be determined.
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.
Tell kinds of symmetry of a shape
For each one of a series of shapes, determine whether it has mirror- or point symmetry.
Tell symmetry of a shape
A series of shapes is shown. For each shape, tell whether is has point or mirror symmetry.

## Math topic Number spaces

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
Find number in the middle
For two given numbers, find the number in the middle, the midpoint.
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
Roman numerals, convert from and to decimal system
Numbers have to be converted from the decimal system to roman numerals and vice versa.
Test for divisibility
A row of numbers is presented. Delete those that are not divisible by a given divisor.

## Math topic Numbers

Name
Description
Quickname with link for detail view
Divisibility rules to be specified and applied
The rules on divisibility have to be specified and applied.
Find number in the middle
For two given numbers, find the number in the middle, the midpoint.
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.

## 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
Fraction to percentage
A fraction is given, write as a percentage.
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 calculation
Calculate percentage from base value and rate.
Percentage to fraction
A percentage has to be written in fraction bar notation.

## Math topic Physical Quantities

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.
Convert the value of a scaled length
Conversion of lengths at a given scale in both directions
Convert units of measurement
Convert volume, length, time, area, time units.
Direct proportionality - complete table
Apply the rule of three for a direct proportionality relationship and fill in missing values in a 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.
Measure part of line segment
A line AB is given with a point C marked on it. Measure the length of AC or BC.
Measure part of line segment on coordinate plane
A line AB is given on a coordinate plane with a point C marked on it. Measure the length of AC or BC.
Number wall with physical quantities
Fill in the blank boxes in the pyramid of units of measurement.
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.
Scale factor to be determined
The scale used for an illustration shall be determined.
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.
Three ways to express quantity in units
Write volume, length, time, area, time quantities in units and with decimals.
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.

## Math topic Planes and figures

Name
Description
Quickname with link for detail view
Hexominoes two are the same
Two shapes, similar to cube nets, are the same. Which ones?

## Math topic Puzzles

Name
Description
Quickname with link for detail view
A square is also a rectangle
Identify correct statements for 2d geometric shapes
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.
Labyrinth
Find your way through the labyrinth.
Long division with whole numbers, blanks to be filled
Division of two whole numbers, with remainder, written long division with blanks to be filled in.
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
Points matched to correct coordinates
A series of points must be assigned to the correct given coordinates in the Cartesian coordinate system.
Prime test
Determine if number is prime.

## Math topic Rational numbers

Name
Description
Quickname with link for detail view
Numbers with or without decimal places have to be added.
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.
Divide two fractions
Division of two fractions.
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
Find number in the middle
For two given numbers, find the number in the middle, the midpoint.
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?
Halve numbers
Divide numbers by two, whole numbers or with decimal places.
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
Multiply two fractions.
Multiply fractions by whole numbers
A fraction has to multiplied by a whole number.
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
Reduce fractions
A fraction has to be reduced to lowest terms.
Reduce fractions by
Fractions are to be reduced by a given number
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.

## Math topic Statistics

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.

## Math topic Stochastics

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.

## Math topic Whole numbers

Name
Description
Quickname with link for detail view
Numbers with or without decimal places have to be added.
Divide a fraction by a whole number
A fraction has to be divided by a whole number.
Double a given number
Double a number with or without decimal places.
Factor or multiple?
Determine whether a number is a factor or multiple of another.
Factors of a number
For a given number, all factors have to be listed.
Halve numbers
Divide numbers by two, whole numbers or with decimal places.
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.
Matrix of addition and subtraction problems
Table of addition and subtraction problems
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 by power of ten
Multiplication of a whole numbers with powers of ten or multiples of powers of ten
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.
Number wall sums of whole numbers
In the number wall missing sums have to be added.
Subtract numbers in range
Multiple numbers with or without decimal places have to be subtracted.
Subtraction two numbers with specific no of places
Subtraction of two numbers with controlled number of digits for each number.
Table of multiplication problems
Matrix of multiplication problems with whole numbers
Test for divisibility
A row of numbers is presented. Delete those that are not divisible by a given divisor.

## Math topic Word, story , written problems

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.
Convert units of measurement
Convert volume, length, time, area, time units.
Direct proportionality - complete table
Apply the rule of three for a direct proportionality relationship and fill in missing values in a 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.
Number wall with physical quantities
Fill in the blank boxes in the pyramid of units of measurement.
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.
Rule of three word problem, easy variant
Easy word problems that can be solved by applying the rule of three. No initial division necessary, first factor is one.
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.
Three ways to express quantity in units
Write volume, length, time, area, time quantities in units and with decimals.
Time left till next minute, hour, day
Calculate periods of time it takes to reach the next minute, hour or day.
Time period start, duration and end
For a period of time defined by the start, duration and end time, fill in the missing piece of information.
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.

## dw-Math worksheet templates for this grade

Name
Titke
Description
Reducing and expanding fractions
Expansion and reduction of fractions, and converting fractions to like quantities.
Two-dimensional geometric shapes
Identify, distinguish and name two-dimensional geometric shapes.
Three-dimensional geometric shapes
This worksheet covers basic shapes: cube/cuboid, pyramid and cylinder.
Three-dimensional geometric shapes
This worksheet covers advenced shapes: cube/cuboid, pyramid, cylinder, prism, cone, tetrahedron.
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.