Progress In Mathematics Grade 5 Workbook Answer Key

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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 cover

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

Rounding

Round to the nearest ten, within 0-10,000
Round to the nearest hundred, within 0-1,000,000
Round to the nearest thousand, within 0-1,000,000

Mixed rounding problems 1 - round to the nearest ten, hundred, or thousand
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

Convert between inches & feet - easier
Convert between inches & feet - harder

Convert between inches, feet, and yards - easier
Convert between inches, feet, and yards - harder
Convert between inches, feet, and yards with decimals - use a calculator

Convert between miles, yards, and feet 1 - use a calculator
Convert between miles, yards, and feet 2 - use a calculator

Convert between ounces & pounds - easier
Convert between ounces & pounds - harder

Convert between tons & pounds - easier
Convert between tons & pounds - harder

Convert between tons, pounds, and ounces with decimals - use a calculator
Convert between cups, pints, and quarts
Convert between cups, pints, quarts, and gallons
Convert between ounces, cups, and quarts

All customary units except miles - mixed practice
All customary units except miles - mixed practice - a challenge
Convert between various customary units with decimals - use a calculator

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:

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