Free Math Worksheets for Grade 5

This is a comprehensive collection of free printable math worksheets for grade 5, organized by topics such as addition, subtraction, algebraic thinking, place value, multiplication, division, prime factorization, decimals, fractions, measurement, coordinate grid, and geometry. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any fifth grade math program, but go especially well with IXL's 5th grade math curriculum, and their brand new lessons at the bottom of the page.

The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5).

You can print them directly from your browser window, but first check how it looks like in the "Print Preview". If the worksheet does not fit the page, adjust the margins, header, and footer in the Page Setup settings of your browser. Another option is to adjust the "scale" to 95% or 90% in the Print Preview. Some browsers and printers have "Print to fit" option, which will automatically scale the worksheet to fit the printable area.

All worksheets come with an answer key placed on the 2nd page of the file.

Algebra

• Addition equations 1 - three 2-digit numbers (missing addend)
• Addition equations 2 - four numbers, up to 4 digits (missing addend)
• Subtraction equations - 2-digit numbers (missing minuend or subtrahend)
• Subtraction equations - 4-digit numbers (missing minuend or subtrahend)
• Addition and subtraction equations - using 2-digit numbers and variables
• Addition and subtraction equations - using 3-digit numbers and variables
  
• Simple multiplication and division equations based on the multiplication tables (mental math)
• Multiplication and division equations - using a two-digit divisor or two-digit factors (solve using long multiplication or long division)

• Order of operations - 3 operations to do, no parentheses
• Order of operations - 3 operations to do, parentheses included
• Order of operations - 4 operations to do, parentheses included

Primary Grade Challenge Math by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.

Addition and subtraction in columns (numbers under each other)

• Add 5 and 6-digit numbers, 4 addends
• Add 5 and 6-digit numbers, 5 addends
  
• Add 7 and 8-digit numbers, 4 addends
• Add 7 and 8-digit numbers, 6 addends
  
• Subtract 6-digit numbers in columns
• Subtract 7-digit numbers in columns
• Subtract 8-digit numbers in columns

Place Value and Rounding

• Find the missing part from a 5-digit number
• Find the missing part from a 6-digit number (print in landscape)
• Find the missing part, up to 8-digit numbers or hundred millions (print in landscape)
  
• Write up to a 7-digit number given in expanded form in a normal form
• Write up to a 10-digit number given in expanded form in a normal form (print in landscape)
• Write up to a 7-digit number given in expanded form in a normal form, parts are scrambled
• Write up to a 10-digit number given in expanded form in a normal form, parts are scrambled (print in landscape)
  
• Write up to a 5-digit number in expanded form
• Write up to an 8-digit number in expanded form
• Write up to a 10-digit number in expanded form

Skip-counting

• Skip-count by 20,000, starting at 550,000
• Skip-count by 50,000, starting at 120,000
• Skip-count by 100,000, starting at 1,350,000
• Skip-count by 100,000, starting at 628,000
• Skip-count by 300,000, starting at 4,250,000
• Skip-count by 500,000, starting at 750,000

• Mixed rounding problems 2 - round to the nearest ten, hundred, thousand, or ten thousand
• Mixed rounding problems 3 - as above but rounding to the underlined digit
• Mixed rounding problems 4 - round to the underlined digit, up to rounding to the nearest million

Multiplication

Mental Multiplication

• Multiply up to 3-digit numbers by 10, 100, or 1000
• Multiply up to 3-digit numbers by 10, 100, or 1000 - missing factor
  
• Multiply by whole tens, whole hundreds, and whole thousands (such as 20 × 3000)
• Multiply by whole tens, whole hundreds, and whole thousands - missing factor
  
• Multiply a 1-digit number by a 2-digit number (using partial products mentally)
• Multiply mentally in parts (such as 3 × 97 or 4 × 208, using distributive property)

Long multiplication (in columns)

• Multiply a 4-digit number by a 1-digit number
• Multiply a 3-digit number by a 2-digit number
• Multiply a 4-digit number by a 2-digit number
• Multiply a 5-digit number by a 2-digit number
• Multiply a 3-digit number by a 3-digit number
• Multiply a 4-digit number by a 3-digit number
  
• Solve multiplication equations - using long division, 1 or 2-digit divisor
• Solve division equations - use either long division or multiplication

Division

Mental division

• Divide 3- and 4-digit numbers by 1-digit number mentally
• Division with remainder within 1-100
• Division with remainder, divisor a whole ten
• Division with remainder, divisor a whole hundred

Long division

• 1-digit divisor, 4-digit dividend, no remainder
• 1-digit divisor, 4-digit dividend, remainder
  
• 2-digit divisor, 4-digit dividend, divisor between 11 and 35
• 2-digit divisor, 4-digit dividend, no remainder — (the divisor is any two-digit number)
• 2-digit divisor, 4-digit dividend, with remainder — (the divisor is any two-digit number)
  
• Multiplication equations (missing factor; solve by long division)
• Division equations (missing dividend or divisor; solve by long multiplication or long division)

The following four worksheet types are beyond the Common Core standards for fifth grade.

• 1-digit divisor, 5-digit dividend, no remainder
• 1-digit divisor, 5-digit dividend, with remainder
• 2-digit divisor, 5-digit dividend, no remainder
• 2-digit divisor, 5-digit dividend, with remainder

Factoring

• Factoring numbers within 4-100 to prime factors
• Challenging factoring: factor numbers within 4-500 to prime factors
• List all the factors of the given number

Fraction addition & subtraction

Like fractions/fractional parts

• Add or subtract 2 like fractions - denominators from 2-25
• Add or subtract 3 like fractions - denominators from 2-25
• Add or subtract 2 like fractions - denominators from 2-99
  
• Add or subtract 2 mixed numbers (like denominators)
• Add or subtract 3 mixed numbers (like denominators)
• Add or subtract a mixed number/fraction/whole number (like denominators)
• Add or subtract a mixed number/fraction/whole number (like denominators) - missing addend

Unlike fractions/fractional parts

• Add or subtract unlike fractions - denominators 2, 3, 4, 5, 6, 8, and 10
• Add or subtract unlike fractions - denominators 2-12
• Challenge: add or subtract unlike fractions - denominators 2-25
• Challenge: add or subtract 3 unlike fractions - denominators 2, 3, 4, 5, 6, 8, and 10
  
• Add or subtract mixed numbers - denominators 2-12
• Add or subtract mixed numbers - denominators 2-25
  
• Add or subtract a mixed number and a fraction or a whole number - denominators 2-12
• Add or subtract a mixed number and a fraction or a whole number - denominators 2-25

Fraction multiplication

• Fraction times a whole number - easy
• Fraction times a whole number - medium
  
• Fraction multiplication 1 - special easy denominators
• Fraction multiplication 2 - denominators 2-12
• Fraction multiplication 3 - three fractions, denominators 2-12
• Fraction multiplication 4 - challenge; denominators 2-25
  
• Multiply a mixed number by a fraction
• Multiply mixed numbers 1 - easy
• Multiply mixed numbers 2 - denominators 2-12
  
• Mixed multiplication practice (by fractions, mixed numbers, or whole numbers)
  
• Challenge: a whole number times a fraction - missing factor
• Challenge: a fraction times a fraction - missing factor

Fraction division

• Divide a whole number by a unit fraction (mental math)
• Divide a unit fraction by a whole number (mental math)

The following worksheet types are beyond the Common Core standards.

• Divide a whole number by a fraction - easy (mental math), answers are whole numbers
• Divide a mixed number by a fraction - easy (mental math), answers are whole numbers

Convert fractions to mixed numbers and vice versa

• Mixed numbers to fractions - easy (the answers are NOT simplified; 12 problems per page)
• Mixed numbers to fractions - easy (the answers are NOT simplified; 18 problems per page)
• Mixed numbers to fractions - easy (the answers are simplified)
  
• Mixed numbers to fractions - medium (the answers are simplified; 12 problems per page)
• Mixed numbers to fractions - medium (the answers are simplified; 18 problems per page)
• Mixed numbers to fractions - challenge (the answers are simplified)
  
• Fractions to mixed numbers - easy (the answers are NOT simplified; 12 problems per page)
• Fractions to mixed numbers - easy (the answers are simplified; 12 problems per page)
• Fractions to mixed numbers - easy (the answers are simplified; 18 problems per page)
• Fractions to mixed numbers - medium (the answers are simplified)

Equivalent Fractions and Simplify Fractions

• Simplify fractions - easy
• Simplify fractions - harder
  
• Equivalent fractions - easy
• Equivalent fractions - harder
• Equivalent fractions - hardest

Write Fractions as Decimals and Vice Versa

In the worksheets below, the answer key does not give the fractions in simplified form. For example, 0.24 is given as 24/100, not as 6/25. If you prefer, you may ask the student to simplify.

• Write decimals as fractions (1-2 decimal digits) (the numbers are less than 1)
• Write decimals as mixed numbers (1-2 decimal digits)
  
• Write decimals as fractions (1-3 decimal digits)
• Write decimals as mixed numbers (1-3 decimal digits)
  
• Write fractions as decimals (tenths and hundredths) (the numbers are less than 1)
• Write fractions as decimals (till thousandths) (the numbers are less than 1)
• Write mixed numbers and fractions as decimals (till thousandths)
  
• Write improper fractions as decimals (till hundredths)
• Write improper fractions as decimals (till thousandths)

Decimal Addition

Mental math

0 to 1 decimal digits

• Two addends, 0-1 decimal digits
• Three addends, 0-1 decimal digits
• Four addends, 0-1 decimal digits
• Two addends, 0-1 decimal digits, missing addend
• Three addends, 0-1 decimal digits, missing addend

0 to 2 decimal digits

• Two addends, 0-2 decimal digits
• Three addends, 0-2 decimal digits (challenge)
• Two addends, 0-2 decimal digits, missing addend (easier)
• Two addends, 0-2 decimal digits, missing addend (harder)
• Two addends, up to 3 decimal digits

Column-addition

• Add in columns (addends have 0-2 decimal digits)
• Add in columns (addends have 0-2 decimal digits) (three addends)
• Add in columns (addends have 0-2 decimal digits) (four addends)
  
• Write the decimals under each other to add in columns (0-2 decimal digits; 2 addends)
• Write the decimals under each other to add in columns (0-2 decimal digits; 3 addends)
• Write the decimals under each other to add in columns (0-2 decimal digits; 4 addends)
  
• Write the decimals under each other to add in columns (0-3 decimal digits; 2 addends)
• Write the decimals under each other to add in columns (0-3 decimal digits; 4 addends)

Decimal Subtraction

Mental math

0 to 1 decimal digits

• Subtract a decimal from a whole number
• Subtract two decimal numbers
• Missing minuend/subtrahend
• Addition and subtraction problems
• Subtract decimals - two subtrahends (such as 4.5 − 0.3 − 0.9)
• Missing minuend/subtrahend - two subtrahends (such as 4.5 − ___ − 0.9 = 2.1)
• Addition and subtraction problems with 3 numbers

0 to 2 decimal digits

• Subtract a decimal from a whole number
• Subtract two decimal numbers
• Missing minuend/subtrahend

Challenges: mental math

• Subtract from a whole number - two subtrahends
• Subtract a decimal from a whole number, with up to 3 decimal digits
• Subtract two decimal numbers
• Subtract decimals - two subtrahends
• Addition and subtraction problems

Column-subtraction

• Subtract in columns (0-2 decimal digits)
• Write the decimals under each other to subtract in columns (0-2 decimal digits)
• Write the decimals under each other to subtract in columns (0-3 decimal digits)
  
• Write the numbers under each other and subtract - two subtrahends
• Addition and subtraction problems with 3 numbers

Challenges: algebraic thinking

• Addition and subtraction equations - easy (0-1 decimal digits)
• Addition and subtraction equations - easy (0-2 decimal digits
• Addition and subtraction equations - harder (0-1 decimal digits)
• Addition and subtraction equations - harder (0-2 decimal digits)

Decimal Multiplication

Mental math

• Multiply a whole number and a decimal - easy (one decimal digit)
• Multiply a whole number and a decimal - harder (one decimal digit)
• Multiply a whole number and a decimal - missing factor (one decimal digit)
  
• Multiply a whole number and a decimal (1-2 decimal digits)
• Multiply a whole number and a decimal - missing factor (1-2 decimal digits)
  
• Multiply a whole number and a decimal (1-3 decimal digits)
• Multiply a whole number and a decimal - missing factor (1-3 decimal digits)
  
• Multiply decimals by decimals
• Multiply decimals by decimals - missing factor
  
• Multiply decimals by decimals or whole numbers (mixed practice)
• Multiply decimals by decimals or whole numbers - missing factor (mixed practice)
  
• Multiply by 10 or 100 (1-2 decimal digits)
• Multiply by 10, 100, or 1000 (1-2 decimal digits)
• Multiply by 10, 100, or 1000 - missing factor (1-2 decimal digits)
  
• Multiply by 10 or 100 (1-3 decimal digits)
• Multiply by 10, 100, or 1000 (1-3 decimal digits)
• Multiply by 10, 100, 1000, 10000, or 100000 (1-3 decimal digits)
• Multiply decimals by 10, 100, or 1000 - missing factor (1-3 decimal digits)

Multiply in columns

• Multiply a decimal by a whole number (0-2 decimal digits)
• Multiply a decimal by a whole number (0-3 decimal digits)
• Multiply decimals by decimals (1-2 decimal digits)
  
• Multiply decimals, writing the numbers under each other (0-2 decimal digits)
• Multiply decimals, writing the numbers under each other (challenge; 0-3 decimal digits)

Decimal Division

Mental math

• Divide a decimal by a whole number (1 decimal digit)
• As above - missing dividend or divisor
• Divide a decimal by a whole number (1-2 decimal digits)
• As above - missing dividend or divisor
  
• Divide decimals by decimals (Think of how many times the divisor fits into the quotient.)
  
• Mixed multiplication and division problems 1 (1 decimal digit)
  
• Divide whole numbers by 10, 100, or 1000
• As above - missing dividend or divisor
• Divide decimals or whole numbers by 10 or 100
• As above - missing dividend or divisor
• Multiply or divide decimals & whole numbers by 10, 100, and 1000

Long division

• Divide decimals by whole numbers (1-3 decimal digits; single-digit divisor)
• Divide decimals by whole numbers (1-3 decimal digits; two-digit divisor)
• Divide a decimal by a whole number, round the answers to three decimals
  (need to add zeros to the dividend)
• Divide a whole number or a decimal by a whole number, round the answers to three decimals
  (need to add zeros to the dividend)
  
• Convert a fraction to a decimal using long division, rounding the answers to three decimals
• Divide a whole number or a decimal by a decimal using long division

Measuring units

Customary system

Metric system

• Convert between mm, cm and m - using decimals
• Convert between mm, cm, m, and km - using decimals
• Convert between ml & l and g & kg - using decimals
  
• All metric units mentioned above - mixed practice - using decimals
  
• Metric system: convert between the units of length (mm, cm, dm, m, dam, hm, km)
• Metric system: convert between the units of weight (mg, cg, dg, g, dag, hg, kg)
• Metric system: convert between the units of volume (ml, cl, dl, L, dal, hl, kl)
• Metric system: convert between the units of length, weight, and volume

Coordinate grid

• Plot points & shapes or tell coordinates of points (grid is scaled from 0 to 10)
• Plot points & shapes or tell coordinates of points (grid is scaled from 0 to 20)
  
• Move a shape in coordinate grid in one direction (grid is scaled from 0 to 10)
• Move a shape in coordinate grid in two directions (grid is scaled from 0 to 10)
• Move a shape in two directions (grid is scaled from 0 to 20)

Geometry

• Classify triangles by their sides
• Classify triangles by their angles
• Classify triangles by their sides and angles
  
• Classify quadrilaterals - square, rectangle, rhombus, parallelogram, and trapezoid
  (kite and scalene quadrilateral are excluded)
• Classify quadrilaterals - all seven types
  
• Find the volume of a prism or edge length of a cube (when its volume is given) (easy)
• Find the volume of a prism or edge length of a cube (when its volume is given) (more challenging)

If you wish to have more control on the options such as number of problems or font size or spacing of problems, or range of numbers, just click on these links to use the worksheet generators yourself: