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# List of all available problems

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Name
Description
Quick name with link to detail view
A square is also a rectangle
Identify correct statements for 2d geometric shapes
Add and sub sibling numbers in the range from 1 to 100
Add and subtract spliting one digit number
Addition and subtraction by splitting one digit number
Add and subtract terms with incrementing summand
In a series of addition or subtraction terms, one number changes stepwise.
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 missing line segment name for intercept theorem
In a statement of the intercept theorems the missing line segment name has to be inserted.
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.
Add two numbers with specific no of places
Addition of two numbers with controlled number of digits for each number.
Addition of powers of ten, fill blanks
What multiple of a power of ten has been added?
Addition or subtraction, insert correct symbol
In a series of addition or subtraction problems, the plus or minus symbol is missing.
Addition up to ten in graphical form
Plus problems up to ten are to be described using marbles.
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.
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.
Bar chart for multi data set table of values
Create a bar chart for a given table of values with multiple data sets.
Binomic formula fill in blanks
Fill gaps correctly in binomic formulas
Clock faces, match digital and analog
Match pairs of analog and digital clock faces showing the same time.
Clock faces, match time specification and face
In a series of clock faces and time specifications, match correct face and time spec.
Columnar addition of multiple decimal fractions.
Blanks in columnar addition to be filled in correctly.
Columnar subtraction
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
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.
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
Convert units of measurement
Convert volume, length, time, area, time units.
Coordinates of points in the coordinate system
Identify the coordinates of points on a cartesian coordinate plane.
Count cubes in cube building shown
A cube building is shown, count the number of cubes used to build it.
Count up to ten
A series of different symbols is shown. Count each of the symbols.
Cube building to cuboid, how many cubes are needed
Count the number of cubes to complete cuboid from cube building.
Cube net find opposite side of marked side
Find the opposite side in a cube net.
Custom text block
Insert multiple custom text blocks.
Custom text lines
Insert custom text lines.
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.
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
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.
Determine shapes with same shaded fraction
In a series of shapes find the two shapes that represent the same fraction.
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
Distributive law: Match complex and expanded terms
Find pairs of complex terms and their corresponding expanded form.
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 by multiples of power of ten
Divison by a power of ten or a multiple thereof.
Division of fractions: Fill in the blanks
In a division term of two fractions, blanks have to be filled in.
Division series 1x1 with factor 10
Division problem series with divisor and dividend alternating with factor ten.
Division times table 1-10
Division problems from the multiplication tables
Division, perform by splitting dividend
Divide by splitting the dividend.
Double a given number
Double a number with or without decimal places.
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 a triangle with given dimensions
Dimensions are given that define triangle. The corresponding triangle has to be drawn and sides and/or angles measured.
Draw clock's hands
An analog clock face is shown. A time is given. The clock's hands have to be drawn to show the specified time.
Draw dice pips for correct sum
First steps to subtraction skills: Add dice pips so that sum of multiple dice is correct.
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.
Evaluate algebraic expression
A simple algebraic expression is to be evaluated, observing computational rules
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.
Expand fractions by given number
Fractions are to be expanded by a given number
Extract binomic formula from term
A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand.
Factor or multiple?
Determine whether a number is a factor or multiple of another.
Factorisation of terms
Factorise a term with variables
Factors of a number
For a given number, all factors have to be listed.
Find number in the middle
For two given numbers, find the number in the middle, the midpoint.
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.
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.
Free space for your own problem
Generate a block of free space, with an optional headline.
GCD computation with the Euclidean Algorithm
Compute the GCD step by step with the Euclidian Algorithm.
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.
Halve numbers
Divide numbers by two, whole numbers or with decimal places.
Hexominoes two are the same
Two shapes, similar to cube nets, are the same. Which ones?
Horizontal bar chart for table of values
Create a bar chart for a given table of values.
Identify cube nets in a series of cube-like nets
A series of drawings is shown. Which ones represent cube nets?
Insert relational operator
Insert the correct relational symbol between two decimals.
Insert relational operator - simple
Insert the correct relational symbol between two numbers.
Insert relational operator for subtraction terms
The correct relational operator has to be inserted for subtraction terms.
Insert relational operator for sum terms
The correct relational operator has to be inserted for addition terms.
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.
Intercept theorem statements right or wrong
Correct statements on the intercept theorems must be identified and marked.
Inverse proportionality - complete table
Apply the rule of three for an inverse proportionality relationship and fill in missing values in a table.
Labyrinth
Find your way through the labyrinth.
lcm derived via prime factorization
The lcm is to be derived for two given numbers.
Linear equation system - Gaussian algorithm
A system of linear equations is to be solved with the Gaussian elimination method.
Long division of two whole numbers
Division of two whole numbers, with remainder, written long division method illustrated.
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.
Long multiplication to be performed for two factors
Two factors have to be multiplied using the long multiplication written form.
Magic triangle with sums to be filled in correctly
In a magic triangle, six numbers have to be filled in correctly.
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
Match binomic formula to simplified form
Find matching terms of original and simplified binomic formulas in two lists.
Matrix of addition and subtraction problems
Table of addition and subtraction problems
Meander line pattern continuation
Continue a line pattern like a meander-motif band
Measure length of line segment
Measure the length of a given line.
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.
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
Multiples of a number list first n
For a given number, list the first n multiples.
Multiples of a number up to a limit
For a given number, the multiples up to a given limit have to be listed.
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
Multiplication problem 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.
Multiply fractions
Multiply two fractions.
Multiply fractions by whole numbers
A fraction has to multiplied by a whole number.
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.
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 line find midpoint
On a number line, the midpoint between to marks has to be identified.
Number line illustrating times table problem
On a numberline, 1 to 10 jumps each 1-10 units in length are depicted. What problem is shown and where do we land?
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.
Number wall sums of whole numbers
In the number wall missing sums have to be added.
Number wall times table products
In a number wall, products from the times tables 1-10 are to be filled in.
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.
Perpendicular bisector construction for a line segment
For a given line segment, construct the perpendicular bisector using only a compass and a ruler.
Place value board table and number words
In a table, place values and number words have to be added
Plan for cube building to be drawn
Create the plan for a cube building.
Points matched to correct coordinates
A series of points must be assigned to the correct given coordinates in the Cartesian coordinate system.
Prime factorization
Perform the prime factorization for a given number.
Prime test
Determine if number is prime.
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.
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.
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.
Reduce fractions
A fraction has to be reduced to lowest terms.
Reduce fractions by
Fractions are to be reduced by a given number
Reflection in a mirror line
For a given shape the mirror image has to be drawn.
Relational operator insert digit for true statement
Add a digit in a relational statement to make it true.
Relational symbol with times table terms and number
Compare Times table multiplication terms to numbers, decide what is the correct relational symbol.
Roman numerals, convert from and to decimal system
Numbers have to be converted from the decimal system to roman numerals and vice versa.
Rotate shape by multiples of 90 degrees
A shape has to be rotated by a multiple of 90 degrees.
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.
Semi-long multiplication by decomposition
Preparation for long multiplication: Multiply by decomposing first factor
Shade given fractions of a shape
An image of s subdivided shape is shown. Shade according to given fraction.
Shade same fractions of different shapes
Shade n/m, 2n/2m, 3n/3m and so on of shapes with increasing number of parts.
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 to be identified
Some shapes are shown. Which two have the same area?
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
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.
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.
Specify equation to straight line
For a given straight line on a coordinate plane, the corresponding equation must be specified.
Step up to place value
A natural number is incremented to the next multiple of a power of ten.
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 by filling up place values
Calculate difference by stepping up each place value.
Subtraction power of ten fill blanks
What multiple of a power of ten has been subtracted?
Subtraction term graphical representation
A series of marbles represents a subtraction term - empty spaces to be filled in term.
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
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.
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.
Tell the time on a clock face shown
An analog clock is shown. Tell the time!
Test for divisibility
A row of numbers is presented. Delete those that are not divisible by a given divisor.
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 passed - draw clock face
A clock face is shown. Draw another face to show the time before some time has passed.
Time passed between two clock faces
How much time has passed between times shown by two clock faces?
Time passes - draw clock face
A clock face is shown. Draw another face to show the time after some time has passed.
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.
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
Times table:Multiplication problems in range one to ten
Multiplication problems from the 1-10 times tables.
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.
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
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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