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# All available problems for grade 5

Elementary School, Primary School, Middle School.

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## Math topic Algebra

Name
Description
Quickname with link for detail view
Add and subtract times table product
Addition and subtraction of times table products
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
Determine shapes with same shaded fraction
In a series of shapes find the two shapes that represent the same fraction.
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.
Evaluate algebraic expression
A simple algebraic expression is to be evaluated, observing computational rules
Insert two arithmentic operators
In an equation with three operands, insert two operators.
An image of s subdivided shape is shown. Shade according to given fraction.
Shade n/m, 2n/2m, 3n/3m and so on of shapes with increasing number of parts.

## Math topic Arithmetic

Name
Description
Quickname with link for detail view
Add and subtract times table product
Addition and subtraction of times table products
Add and subtract times table product with same factor
Addition and subtraction of times table products for a single number one to ten
Add multiples of powers of ten
Multiples of powers of ten added to natural numbers.
Numbers with or without decimal places have to be added.
Addition of powers of ten, fill blanks
What multiple of a power of ten has been added?
Columnar addition of multiple decimal fractions.
Blanks in columnar addition to 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
Find the next numbers in a series
Convert the value of a scaled length
Conversion of lengths at a given scale in both directions
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
Distributive law - use to evaluate
Evaluate terms by multiplying out using distributive law
Divisibility rules to be specified and applied
The rules on divisibility have to be specified and applied.
Division series 1x1 with factor 10
Division problem series with divisor and dividend alternating with factor ten.
Double a number
Double a number with or without decimal places.
Evaluate algebraic expression
A simple algebraic expression is to be evaluated, observing computational rules
Find number in the middle
For two given numbers, find the number in the middle, the midpoint.
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.
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.
Halves
Divide numbers by two, whole numbers or with decimal places.
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.
lcm derived via prime factorization
The lcm is to be derived for two given numbers.
Long division whole numbers fill blanks
Division of two whole numbers, with remainder, written long division with blanks to be filled in.
Long multiplication
Two factors have to be multiplied using the long multiplication written form.
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.
Matrix of addition and subtraction problems
Table of addition and subtraction problems
Multiples list first n
For a given number, list the first n multiples.
Multiples up to
For a given number, the multiples up to a given limit have to be listed.
Multiplication
Multiplication problems with defined number range
Multiplication by power of ten
Multiplication of a whole numbers with powers of ten or multiples of powers of ten
Multiplication series with powers of ten
In a series of multiplication terms with same product, the number of places move from first to second factor.
Multiplication tables with mistakes
In a number of tasks from the multiplication tables, mistakes have to be found.
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
Relational symbol with times table terms and number
Compare Times table multiplication terms to numbers, decide what is the correct relational symbol.
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 mupltiples of powers of ten
Multiples of powers of ten subtracted from natural numbers.
Subtract numbers in range
Multiple numbers with or without decimal places have to be subtracted.
Subtraction power of ten fill blanks
What multiple of a power of ten has been 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
Times table 1-10
Multiplication problems from the 1-10 times tables.
Times table fill in blanks
Simple times table problems where the product and a factor are given.
Times table with factor ten
Multiplication problem series introducing factor of ten
Units of measurement add and subtract
Add and subtract units of measurement

## Math topic Decimal system

Name
Description
Quickname with link for detail view
Add multiples of powers of ten
Multiples of powers of ten added to natural numbers.
Addition of powers of ten, fill blanks
What multiple of a power of ten has been added?
Divisibility rules to be specified and applied
The rules on divisibility have to be specified and applied.
Multiplication series with powers of ten
In a series of multiplication terms with same product, the number of places move from first to second factor.
Number line find midpoint
On a number line, the midpoint between to marks has to be identified.
Place value board table and number words
In a table, place values and number words have to be added
Roman numerals
Numbers have to be converted from the decimal system to roman numerals and vice versa.
Subtract mupltiples of powers of ten
Multiples of powers of ten subtracted from natural numbers.
Subtraction power of ten fill blanks
What multiple of a power of ten has been subtracted?

## 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.
Division series 1x1 with factor 10
Division problem series with divisor and dividend alternating with factor ten.
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.
Halves
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.
Multiples list first n
For a given number, list the first n multiples.
Multiples up to
For a given number, the multiples up to a given limit have to be listed.
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.
Times table with factor ten
Multiplication problem series introducing factor of ten

## Math topic Elementary arithmetic

Name
Description
Quickname with link for detail view
Add and subtract times table product
Addition and subtraction of times table products
Add and subtract times table product with same factor
Addition and subtraction of times table products for a single number one to ten
Add multiples of powers of ten
Multiples of powers of ten added to natural numbers.
Numbers with or without decimal places have to be added.
Addition of powers of ten, fill blanks
What multiple of a power of ten has been added?
Columnar addition of multiple decimal fractions.
Blanks in columnar addition to be filled in correctly.
Find the next numbers in a series
Division series 1x1 with factor 10
Division problem series with divisor and dividend alternating with factor ten.
Double a number
Double a number with or without decimal places.
Halves
Divide numbers by two, whole numbers or with decimal places.
Long division whole numbers fill blanks
Division of two whole numbers, with remainder, written long division with blanks to be filled in.
Long multiplication
Two factors have to be multiplied using the long multiplication written form.
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.
Matrix of addition and subtraction problems
Table of addition and subtraction problems
Multiples list first n
For a given number, list the first n multiples.
Multiples up to
For a given number, the multiples up to a given limit have to be listed.
Multiplication
Multiplication problems with defined number range
Multiplication by power of ten
Multiplication of a whole numbers with powers of ten or multiples of powers of ten
Multiplication tables with mistakes
In a number of tasks from the multiplication tables, mistakes have to be found.
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.
Relational symbol with times table terms and number
Compare Times table multiplication terms to numbers, decide what is the correct relational symbol.
Subtract mupltiples of powers of ten
Multiples of powers of ten subtracted from natural numbers.
Subtract numbers in range
Multiple numbers with or without decimal places have to be subtracted.
Subtraction power of ten fill blanks
What multiple of a power of ten has been 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
Times table 1-10
Multiplication problems from the 1-10 times tables.
Times table fill in blanks
Simple times table problems where the product and a factor are given.
Times table with factor ten
Multiplication problem series introducing factor of ten

## 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 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.
Cube net find opposite side
Find the opposite side in a cube net.
Draw 3d geometric shape in perspective
Draw an oblique image of the three-dimensional geometric shape given.
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.
Enlarge or reduce shape
A scale factor is given, reduce or enlarge a given shape.
Find shapes with largest and smallest area
A series of shapes is presented. The ones with the largest and smallest areas have to be picked.
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?
Identify cube nets
A series of drawings is shown. Which ones represent cube nets?
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.
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.
Shapes with same area
Some shapes are shown. Which two have the same area?
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
Find number in the middle
For two given numbers, find the number in the middle, the midpoint.
Fractions omsert correct relational symbol
Insert the correct relational symbol between two fractions
Multiplication series with powers of ten
In a series of multiplication terms with same product, the number of places move from first to second factor.
Number line find midpoint
On a number line, the midpoint between to marks has to be identified.
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.
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
Place value board table and number words
In a table, place values and number words have to be added
Roman numerals
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.
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
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.

## 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.
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.
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.
Units of measurement add and subtract
Add and subtract units of measurement

## Math topic Planes and figures

Name
Description
Quickname with link for detail view
Cube net find opposite side
Find the opposite side in a cube net.
Enlarge or reduce shape
A scale factor is given, reduce or enlarge a given shape.
Hexominoes two are the same
Two shapes, similar to cube nets, are the same. Which ones?
Identify cube nets
A series of drawings is shown. Which ones represent cube nets?

## Math topic Puzzles

Name
Description
Quickname with link for detail view
A square is also a rectangle
Identify correct statements for 2d geometric shapes
Blanks in columnar addition to be filled in correctly.
Find the next numbers in a series
Determine shapes with same shaded fraction
In a series of shapes find the two shapes that represent the same fraction.
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.
Labyrinth
Find your way through the labyrinth.
Long division whole numbers fill blanks
Division of two whole numbers, with remainder, written long division with blanks to be filled in.
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
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.
Find number in the middle
For two given numbers, find the number in the middle, the midpoint.
Fractions omsert correct relational symbol
Insert the correct relational symbol between two fractions
Halves
Divide numbers by two, whole numbers or with decimal places.
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.
Number line find midpoint
On a number line, the midpoint between to marks has to be identified.
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.
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
Subtract numbers in range
Multiple numbers with or without decimal places have to be subtracted.

## Math topic Whole numbers

Name
Description
Quickname with link for detail view
Add and subtract times table product
Addition and subtraction of times table products
Add and subtract times table product with same factor
Addition and subtraction of times table products for a single number one to ten
Add multiples of powers of ten
Multiples of powers of ten added to natural numbers.
Numbers with or without decimal places have to be added.
Addition of powers of ten, fill blanks
What multiple of a power of ten has been added?
Blanks in columnar addition to be filled in correctly.
Division series 1x1 with factor 10
Division problem series with divisor and dividend alternating with factor ten.
Double a 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.
Halves
Divide numbers by two, whole numbers or with decimal places.
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.
Long multiplication
Two factors have to be multiplied using the long multiplication written form.
Magic triangle sums
In a magic triangle, six numbers have to be filled in correctly.
Matrix of addition and subtraction problems
Table of addition and subtraction problems
Multiples list first n
For a given number, list the first n multiples.
Multiples up to
For a given number, the multiples up to a given limit have to be listed.
Multiplication
Multiplication problems with defined number range
Multiplication by power of ten
Multiplication of a whole numbers with powers of ten or multiples of powers of ten
Multiplication tables with mistakes
In a number of tasks from the multiplication tables, mistakes have to be found.
Number wall sums of whole numbers
In the number wall missing sums have to be added.
Place value board table and number words
In a table, place values and number words have to be added
Relational symbol with times table terms and number
Compare Times table multiplication terms to numbers, decide what is the correct relational symbol.
Subtract mupltiples of powers of ten
Multiples of powers of ten subtracted from natural numbers.
Subtract numbers in range
Multiple numbers with or without decimal places have to be subtracted.
Subtraction power of ten fill blanks
What multiple of a power of ten has been 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.
Times table 1-10
Multiplication problems from the 1-10 times tables.
Times table fill in blanks
Simple times table problems where the product and a factor are given.
Times table with factor ten
Multiplication problem series introducing factor of ten

## 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.
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.
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, 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.
Units of measurement add and subtract
Add and subtract units of measurement

## dw-Math worksheet templates for this grade

Name
Titke
Description
Greatest Common Divisor
Two ways to determine the gcd of two 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.
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