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# All problems for the topic of Arithmetic

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Name
Description
Quickname with link for detail view
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 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.
Columnar addition of multiple decimal fractions.
Blanks in columnar addition to be filled in correctly.
Columnar subtraction
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
Count up to ten
A series of different symbols is shown. Count each of the symbols.
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
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 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 dice pips for correct sum
First steps to subtraction skills: Add dice pips so that sum of multiple dice is correct.
Evaluate algebraic expression
A simple algebraic expression is to be evaluated, observing computational rules
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 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.
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.
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.
Matrix of addition and subtraction problems
Table of addition and subtraction problems
Missing elements in unlike fractions
In unlike fractions of the same value, numerators or denominators have to be filled in.
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.
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 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 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.
Reduce fractions
A fraction has to be reduced to lowest terms.
Reduce fractions by
Fractions are to be reduced by a given number
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.
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
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
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.
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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