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Free Math Worksheets
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Our free math worksheets cover the full range of elementary school math skills from numbers and counting through fractions, decimals, word problems and more. All worksheets are printable files with answers on the 2nd page.
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Number Sense Worksheets
Welcome to the number sense page at Math-Drills.com where we've got your number! This page includes Number Worksheets such as counting charts, representing, comparing and ordering numbers worksheets, and worksheets on expanded form, written numbers, scientific numbers, Roman numerals, factors, exponents, and binary numbers. There are literally hundreds of number worksheets meant to help students develop their understanding of numeration and number sense.
In the first few sections, there are some general use printables that can be used in a variety of situations. Hundred charts, for example, can be used for counting, but they can just as easily be used for learning decimal hundredths. Rounding worksheets help students learn this important skill that is especially useful in estimation.
Comparing and ordering numbers worksheets help students further understand place value and the ordinality of numbers. Continuing down the page are a number of worksheets on number forms: written, expanded, standard, scientific, and Roman numerals. Near the end of the page are a few worksheets for older students on factors, factoring, exponents and roots and binary numbers.
Most Popular Number Sense Worksheets this Week

Learning Numbers
Number posters..

There are a few different number posters in this section. The first two, with bird and butterfly themes include various ways of representing numbers from 0 to 9. Two versions of the numerals are used to demonstrate different printing styles, a Braille version and an American Sign Language version are also included to make students aware of different ways of representing each number. A linear representation and a ten-frame representation follow which is then followed by a pictorial representation using the theme. The poster sized numbers are just that ... made for printing and putting up in your classroom or home school.
Writing Numerals and Numbers

In the writing numerals to 20 worksheets, you will find that the A version includes all numbers, B to E versions have about half the numbers included, F to I versions have about a third of the numbers included and the J version includes no numbers... just the lines to write them on. All versions include dashes under the numbers, so students have a reference for where to place the numbers. You can access the other versions (B to J) once you select the A version you want below.
Counting Worksheets

Ten frames help students visualize numbers in relation to 10. They are used for many purposes, but the worksheets below are introductory and familiarize students with ten frames and give them practice using them.
Skip counting with a car theme

These skip counting worksheets include pictorial representations of the items the student is counting. For example, in the counting by 3's worksheet, students will see groups of three cars. This allows students to develop a mental image of skip counting. With larger numbers, including groups of items become impractical, so numbers are instead printed on the cars.
Hundred Charts

Hundred charts are useful not only for learning counting but for many other purposes in math. For example, a hundred chart can be used to model fractions and to convert fractions into decimals. Modeling 1/4 on a hundred chart would require coloring every fourth square. After coloring every fourth square, there would be 25 squares colored in which is 25/100 or 0.25. Not magic, just math. Hundred charts can also be used as graph paper for graphing, learning long multiplication and division or any other purpose. A common use for hundred charts in older grades is to use it to find prime and composite numbers using the sieve of Eratosthenes.
Bottom-Up 100 Charts

Have you ever thought about why hundred charts start at the top and count left to right and top to bottom? After all, don't we count UP rather than down? Thermometers have smaller numbers at the bottom, elevation increases the further you go up, and liquids fill from the bottom up. Maybe starting with one at the bottom makes a lot more sense to students than starting with one at the top.

120 charts are very similar to hundred charts except they include the numbers from 101 to 120. 120 is a nice number for many reasons. One reason is that it has a lot of divisors—16 in fact. This makes the number 120 useful for many different grouping activities. Another reason is the Common Core Curriculum in the United States requires first graders to count to 120. A third reason is that 120 includes some three-digit numbers which could be a good introduction for some students into the hundreds place.
Bottom-Up 120 Charts

Similar to the bottom-up 100 charts, the bottom-up 120 charts start counting at the bottom and increase as you go up. Still not convinced that these make sense? Here are some more examples of things that start counting at the bottom: your height, snow depth, floors in a building, scales on most graphs, and altitude.

Ninety-nine charts include zero and have no three-digit numbers. Each row starts with a multiple of ten rather than ending with a multiple of ten.
Bottom-Up 99 Charts

You may not realize that many things start counting at zero, like when you are running around a track; you start at zero laps and count one for every lap you do. These charts start at zero at the bottom and go up to 99 at the top.
Counting patterns

Counting collections of things in various patterns helps students develop shortcuts and strategies for counting. For example, when students count collections of items in rectangular patterns, they may use skip counting or multiplying to speed up their counting.
Counting using number lines

There are much better number line worksheets on the Number Line Worksheets page.
Continue Counting Worsheets

Rounding Numbers Worksheets
Rounding numbers worksheets.

Not only does rounding further an understanding of numbers, it can also be quite useful in estimating and measuring. There are many every day situations where a precise number isn't needed. For example if you needed to paint your basement floor, you don't really need to find out the area to exact square inch since you don't buy paint that way. You get a good idea of the floor space (e.g. it is roughly 20 feet by 15 feet) then read the label on the can to see how many square feet the can of paint covers (which, by the way is also a rounded number and variable depending on the roller used, the porosity of the floor, etc.) and buy enough cans to cover your floor.
Comparing & Ordering Numbers Worksheets
Even and odd numbers.

Distinguishing between even and odd numbers is an important skill for young students to learn. The vocabulary of even and odd is used throughout their math education, so it is necessary to learn it as soon as possible. Connecting cubes can help a great deal in visually demonstrating odd and even numbers. Create the numbers from 1 to 10 (or more) using connecting cubes in pairs and students will quickly see that the odd numbers have an unpaired cube that can be thought of as the "odd cube out." Once they have seen this pattern, they may be able to extend the pattern without making cube models. Ask them about 11 and 12 and 35 and so on.
Comparing numbers worksheets

There are many situations where it is important to know the relative size of one number to another. Several words are used to describe the relative sizes of one number to another, but it is probably best to use lesser than, greater than and equal to, although other words are more appropriate in certain situations. For example, if you were comparing two groups of candies, you would probably say, "there are fewer candies in that pile than in that one." The use of "Tight" in the worksheet titles means the numbers to be compared are close to one another.
Ordering numbers worksheets

Converting Between Standard and Expanded Form Worksheets
Converting standard to expanded form worksheets.

When writing numbers in expanded form, students might use one of three forms which will be demonstrated using the number 9753. The first form is quite simple and combines both the place and the place value. For example, 9 is in the thousands place which means the value of that 9 is 9000. The 7 is in the hundreds place which makes it 700. The 5 is in the tens place which makes it 50 and the 3 is in the ones place which makes it 3. To write in "simple" expanded form, simply separate these four values with plus signs: 9000 + 700 + 50 + 3. In expanded factors form , the place and the place value are separated with multiplication signs: (9 × 1000) + (7 × 100) + (5 × 10) + (3 × 1). Parentheses are included for clarity. In expanded exponential form , the place values are expressed as powers of ten: (9 × 10 3 ) + (7 × 10 2 ) + (5 × 10 1 ) + (3 × 10 0 ).
Converting Expanded to Standard Form worksheets

Converting Standard to Expanded Form worksheets (SI Versions)

These versions use a space as a thousands separator.
Converting Standard to Expanded Form worksheets (Euro Versions)

These versions use a period as a thousands separator.
Writing Numbers Worksheets
Writing numbers in words worksheets.

The main idea of learning to write numbers in words is to be able to say numbers correctly. In the past it might also have been useful for writing checks/cheques, but there isn't a lot of that going on any more. In writing, numbers up to ten are generally written as words and above ten as numerals. Numbers that are at the beginning of sentences are often written as words. These worksheets do not use the superfluous "and" throughout. If this is something you would like included, please send some feedback.
Reading written numbers worksheets

Now, let's see if students can write the numbers that are written! The reading numbers written as words worksheets do not have format options as the student question sheets are all written in words. The answer keys are formatted with a comma thousands separator when necessary.
Converting between standard, expanded and written forms

The standard, expanded and written forms conversion worksheets sum up the previous sections by including all three number forms on the same page.
Scientific Notation Worksheets
Scientific notation worksheets for learning how to write and interpret numbers in this format.
Converting Standard Numbers to Scientific Numbers

Converting Scientific Numbers to Standard Numbers

Converting Between Standard Numbers and Scientific Numbers

Roman Numerals Worksheets
Converting between roman numerals and standard numbers.

This is about as "old school" as you can get. Put on your tunica and pick up your scutum to tackle the worksheets on Roman Numerals. Below, you will see options for standard and compact forms. The standard form Roman Numeral math worksheets include numerals in the commonly-taught version where 999 is CMXCIX (i.e. write the numeral one place value at a time). The compact versions are for those who want more of a challenge where the Roman numerals are written in as concise a version as possible. In the compact version, 999 is written as IM (i.e. one less than 1000).
Operations with Roman numerals

Factors and Factoring Worksheets
Factors and factoring worksheets including listing factors of numbers and finding prime factors of numbers using a tree diagram.
What would factoring be without some factoring trees? They are probably the most elegant and convenient way to find the prime factors of a number, but they take a little practice, which is where we come in. The worksheets below are of two types. The first is finding all of the factors of a number. This is great for students who know their multiplication/division facts. If they don't, they might find this a little frustrating, so go back and work on that first. The second type is finding prime factors which we've chosen to do with tree diagrams. Among other things, this is a great way to find prime numbers and to practice divisibility rules.
Factors of numbers

Prime factors of numbers

Greatest Common Factors

Multiples and Least Common Multiple Worksheets
Multiples and least common multiple (LCM) worksheets including determining the LCM using multiples and prime factors.
Determining LCM using multiples

Determining LCM using prime factors

Roots and Exponents Worksheets
Roots and exponents worksheets including squares and cubes and writing exponents in factor form.

Squares and square roots

Cubes and cube roots

More exponents

Binary and Other Base Number Systems
Binary and other base number systems worksheets for learning about number systems with bases other than 10.
Binary numbers worksheets

The binary number system has broad applications, but it is most known for its predominance in computer architecture. Learning about the binary system not only encourages higher order thinking, but it also prepares students for further studies in mathematics and computer studies. The chart below may be useful for students who need some help lining things up and learning about place value as it relates to the binary system. We included a base 10 number column, so you can use the chart for converting between decimal and binary systems.
The mystery number trick below is actually based on binary numbers. As you may know, each place in the binary system is a power of 2 (1, 2, 4, 8, 16, etc.). Since every decimal (base 10) number can be expressed as a binary number, each decimal number can therefore be expressed as a sum of a unique set of powers of 2. It is this concept that makes this trick work. You might notice that the largest decimal number on the cards is 63 which is also the largest 6-digit binary number (111111). The target position on each version of the mystery number trick contains the powers of 2 associated with the first 6 place values in the binary system (1, 2, 4, 8, 16, 32). Each of the 6 cards represents a specific place value. All 32 numbers on each card contain a 1 in the associated place when written in binary. Basically, when the "friend" identifies the cards that contain the mystery number, they are giving you a binary number that simply needs converting into a decimal number. Just for fun, we mixed up the numbers on the cards and the target position on versions C to J. Version A includes numbers in ascending order and version B includes numbers in descending order. The other versions (B to J) will be available once you click on the A version below.
Converting between base number systems worksheets

Help with Converting Between Base Number Systems:
There are shortcuts for converting between some bases. For example, converting from binary to octal takes little effort since 8 is a power of 2. Each group of 3 digits in a binary number represents a single digit in an octal number. For example, 111 2 (the 2 stands for binary or base 2) is 7 8 (the 8 stands for octal or base 8). The simple way to convert binary numbers to octal numbers is to group the binary number into groups of three digits. For example, 111010101000111 2 could be written as 111 010 101 000 111. Converting each group into octal means multiplying the first digit of each group by 4, the second digit by 2 and the third digit by 1 then adding the results together. This will result in digits no larger than 7 (since 4 + 2 + 1 = 7) and the number will be converted to base 8. In octal, therefore, the number is 72507 8 . If you can express the octal numbers from 0 to 7 in binary, you can easily convert the other way. For example 7223 8 = 111010010011 2 since 7 is 111, 2 is 010, and 3 is 011 in binary.
A similar shortcut for converting between binary and base 4 numbers involves looking at binary numbers in groups of 2. Similarly, converting from base 3 to base 9 and base 4 to base 16 involves groups of two. Converting from binary to hexadecimal would involve groups of 4.
For other conversions, a commonly used tactic is to convert to decimal as an intermediate step since this is the base system that is probably ingrained in your brain, so it is much more intuitive. For example, converting from a base 5 number to a base 7 number would involve first converting the base 5 number to base 10. To convert, it is only necessary to know the place values of the system that you are converting from and to. In base 5, the lowest place value (furthest to the right) of whole numbers is 1 followed by 5, 25, 125 and so on. In base 7, the place values are 1, 7, 49, 343 and so on. First multiply the digits in the base 5 number by its place values, then divide the resulting decimal number by the base 7 place values and you will have your conversion. For example 4331 5 is expanded to (4 × 125) + (3 × 25) + (3 × 5) + (1 × 1) = 500 + 75 + 15 + 1 = 591 (in base 10). To continue into base 7, there are at least two ways, the second method is in the next paragraph. For simplicity's sake, take the largest base 7 place value that will divide into 591 at least once. In this case it is 343 which goes into 591 exactly once (1) with a remainder of 248. Divide the remainder by the next place value down, 49, to get (5) with a remainder of 3. Divide 3 by 7 which is (0) with a remainder of 3. Finally, divide by 1 which should leave no remainder, and it is (3) in this case. Put all those digits together and you should have your number in base 7: 1503 7 .
A method to convert directly from one base system to another involves knowing how to divide in the base system you want to convert from. It is fairly easy if you are familiar with the base system. Simply divide the number by the base you want to convert to (but express it in the original base system). Repeat until the division results in 0 with or without a remainder. Convert the remainders and put them in reverse order for the number in the new base system. For example, convert 3750 8 to hexadecimal (base 16). 16 in base 8 is 20 8 . The first step is to divide 3750 8 by 20 8 = 176 8 R 10 8 . Next, divide 176 8 by 20 8 to get 7 8 R 16 8 . Finally, 7 8 divided by 20 8 is 0 8 R 7 8 . Convert the remainders to base 16 (which you may have to think of in terms of decimal numbers, or you can use your fingers and some toes) and write the digits in reverse order. 7 8 is 7 16 , 16 8 is (14 in decimal) E 16 , and 10 8 is 8 16 . So, the number 3750 8 is 7A8 16 .
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Multiplication Times Table Worksheets - Numeracy Warm Up

Patterns, Sequence Activity Pack-Center Games, Worksheets, Numeracy

Also included in: More than-less than, 2D, 3D shapes, Patterns- MEGA MATH BUNDLE

Location and Movement Numeracy Worksheets Digital and For Print: Ontario Math

Kindergarten Packet Math and Literacy Review Worksheets for the YEAR

Autism Count Add Subtract Cut Paste Worksheets BUNDLE Special Education

SPACE & PLANETS PRE-K WORKSHEETS PACK Learner's Hub Distance Learning from home

Also included in: PRE-K WORKSHEETS BUNDLE ( 145 pages! ) Distance learning from home

1st Grade Math Worksheets for Numeracy and Number Sense

Also included in: 1/2 OFF! Numeracy, Number Sense, and Subitizing Activities | Bundled!

Friends to 10 BUNDLE - Addition and Subtraction worksheets, centres & activities

S'more Math: Two-Digit Addition & Subtraction Worksheets

Also included in: New Teacher Survival Kit for Grades 2-4

Math Morning Work Number Sense Worksheets Number of the Week PK 11-15

Also included in: Math Morning Work Back to School Number Sense Numbers 1-30 PK Bundle

Climate Change Worksheet - graphing activity

Also included in: Fuels and Climate Change Activities, Worksheets and PowerPoint Bundle

Math Morning Work Number Sense Worksheets Number of the Week Practice PK 6-10

Place Value Worksheet Practice for Two-Digit Numbers

Math Patterns Kindergarten PowerPoint and Worksheets

- Internet Activities
Also included in: Kindergarten Math YEAR-LONG PowerPoint Worksheets BUNDLE

Math Morning Work Back to School Number Sense Worksheets Practice PK 1-5

Real World Math Worksheets | Elapsed Time and Money Mini Math Project

Also included in: Real World Math Mini Projects Bundle | Year Long Math PBL Grades 3-6

Spring Math and Literacy Worksheets and Activities for Kindergarten
Also included in: Kindergarten Packet Math and Literacy Review Worksheets for the YEAR

Addition to 5 and Pairs to 5 No Prep Worksheets

Exit Tickets Numeracy Kindergarten

Also included in: Math Supplements Numeracy Kindergarten Bundle

Ordering Numbers to 20 No Prep Worksheets

Pairs to 10 Worksheets for Addition Facts That Make 10

Montessori Math Number Sense Bundle: Numeracy 1-100, Teens, Golden Beads

Numeracy Counts {Printable Practice for Numbers 1-20}

Easter Themed Music Worksheets

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- Kindergarten
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- Odd and Even
- Prime and Composite
- Roman Numerals
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- In and Out Boxes
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- More Number Sense Worksheets
- Size Comparison
- Measuring Length
- Metric Unit Conversion
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- Temperature
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- Tally Marks
- Mean, Median, Mode, Range
- Mean Absolute Deviation
- Stem-and-leaf Plot
- Box-and-whisker Plot
- Permutation and Combination
- Probability
- Venn Diagram
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- Shapes - 2D
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- Lines, Rays and Line Segments
- Points, Lines and Planes
- Transformation
- Quadrilateral
- Ordered Pairs
- Midpoint Formula
- Distance Formula
- Parallel, Perpendicular and Intersecting Lines
- Scale Factor
- Surface Area
- Pythagorean Theorem
- More Geometry Worksheets
- Converting between Fractions and Decimals
- Significant Figures
- Convert between Fractions, Decimals, and Percents
- Proportions
- Direct and Inverse Variation
- Order of Operations
- Squaring Numbers
- Square Roots
- Scientific Notations
- Speed, Distance, and Time
- Absolute Value
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- Translating Algebraic Phrases
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- Simplifying Algebraic Expressions
- Algebraic Identities
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Printable Math Worksheets
Build foundational skills and conceptual knowledge with this enormous collection of printable math worksheets drafted for students of elementary school, middle school and high school. Aligned with the CCSS, the practice worksheets cover all the key math topics like number sense, measurement, statistics, geometry, pre-algebra and algebra. Packed here are workbooks for grades k-8, teaching resources and high school worksheets with accurate answer keys and free sample printables.
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Number Sense
The number sense worksheets familiarize kids with basic math operations and help them comprehend place values and types of numbers like odd, even, prime, composite and more.
Number Sense Worksheets
Measurement
Equip kids with this set of measurement worksheets to help them identify the attributes of length, time, weight and capacity. Learn to compare sizes, read clocks, and calculate money as well.
Measurement Worksheets
The statistics worksheets help organize data into meaningful graphs like bar, pie, line and pictographs. Find the mean, median, mode, range and MAD and learn permutation and combination.
Statistics Worksheets
Geometry worksheets help identify 2D and 3D shapes, rays, lines and line segments. Determine the area and perimeter of rectangles and polygons. Find surface area, volume, angles and more.
Geometry Worksheets
Pre-Algebra
Prep-up with pre-algebra worksheets on fractions, decimals, integers, ratio, proportion, GCF and LCM, exponents and radicals. Comprehend speed, absolute values and more.
Pre-Algebra Worksheets
The algebra worksheets provide practice in translating, evaluating and simplifying algebraic expressions. Learn polynomials and solve linear and quadratic equations, to mention a few.
Algebra Worksheets
Get the know-how of trigonometry with charts and hands-on practice exercises on quadrants and angles, the 6 trigonometric ratios, unit circles, trigonometric identities and more!
Trigonometry Worksheets
Get a vivid picture of differentiation and integration with the calculus worksheets. Know more about derivatives based on power, product and quotient rules, exponents, definite integrals and more.
Calculus Worksheets
Navigate through these math workbook compilations classified grade-wise based on the Common Core State Standards, featuring all key topics for children of preschool through grade 8.
Recently Added Math Worksheets
Subtracting 2-Digit Numbers
How good are your skills at subtracting two-digit numbers? It's time you upshifted! Get into the high gear with our all-new subtraction within 100 worksheets that present abundant practice problems, real-life word problems, enthralling riddles, and more!
Evaluating Expressions with Parentheses
The key to evaluating expressions with parentheses is to first perform operations inside parentheses and brackets. What you do next is multiply and divide from left to right. Up next, you add and subtract from left to right. That’s the order of operations.
Types of Fractions
Wonder what the types of fractions are? Well, a proper fraction is where the numerator is less than the denominator, and an improper is where the converse applies. A unit fraction is one part of a whole. And there are a few more! Delve in and explore the various types of fractions.
Surface Area of Triangular Prisms
A prism is called a triangular prism if it has 3 rectangular faces and 2 parallel triangular bases. The surface area of a triangular prism is not as big of a deal as it sounds to be or you’re afraid it is — it’s nothing but the amount of space on the outside.
Most Popular Elementary School Worksheets
Place Value Activities
Kindle a love for math with engaging place value activities like color the caterpillar, cut and glue activities involving blocks, jigsaw puzzles, railroad cars and much more!
Addition Word Problems Worksheets
Connect math concepts to real-life scenarios with this bundle of addition word problems that involve single-digit, two-digit, three-digit addition, and the addition of large numbers.
Subtraction Across Zeros Worksheets
Master the tricky technique of regrouping with 2, 3, 4 and 5-digit numbers featured in this package of practice worksheets on subtraction across zeros.
Perimeter of Quadrilaterals Worksheets
Calculate the perimeter of quadrilaterals, comprehend the congruent properties of quadrilaterals, and solve algebraic expressions with this batch of perimeter worksheets.
Most Popular Middle School Worksheets
Area of Trapezoids Worksheets
The area of a trapezoid printables comprise adequate exercises with dimensions involving decimals, fractions and integers, learn unit conversions as well.
Constant of Proportionality Worksheets
The constant of proportionality worksheets comprise ample exercises involving graphs, tables and equations to find the constant of proportionality.
Significant Figures Worksheets
Record your answers to the correct number of significant digits with this astounding variety of significant figures worksheets using the significant figure rules.
Mean Absolute Deviation Worksheets
The MAD worksheets here essentially deal with finding the mean absolute deviation of data sets up to 6 and up to 10, compare data sets and solve word problems too.
Most Popular High School Worksheets
Scale Factor - Area and Perimeter Worksheets
This unit of scale factor of similar figures worksheets helps comprehend how scale factor impacts side lengths, perimeters and areas of similar shapes.
Quadratic Functions Worksheets
The learning objectives here are to evaluate quadratic functions, write the quadratic function in different forms, complete function tables to mention a few.
Arithmetic Sequence Worksheets
Gain immense practice in finding the arithmetic sequence, identify the first term, common difference and number of terms; learn the recursive formula and much more!
Degrees and Radians Worksheets
This multitude of degrees and radians printable worksheets provide ample skills in the conversion of degrees to radians and vice-versa.
Sample Worksheets

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Our free math worksheets cover the full range of elementary school math skills from numbers and counting through fractions, decimals, word problems and more
Our math worksheets are available on a broad range of topics including number sense, arithmetic, pre-algebra, geometry, measurement, money concepts and much
Number sense worksheets including counting charts, representing, comparing and ordering numbers, expanded form, written numbers and much more.
Free Printable Math Worksheets Most Popular Math Worksheets Math Worksheets Addition Worksheets Subtraction Worksheets Regrouping – Addition and Subtraction
1st Grade Math Worksheets for Numeracy and Number SenseThese 1st grade math worksheets and printables are in a game-like format and
Number and place value; Skip counting; Addition and subtraction; Multiplication and division; Times tables; Fractions; Percentages; Number bonds; Time
How do I provide opportunities to help students develop the correct number formations? Use these worksheets with your students to give them practice
The math worksheets are randomly and dynamically generated by our math worksheet generators. This allows you to make an unlimited number of printable math
Sep 6, 2015 - Explore Liliya Mehaya's board "Number Worksheets", followed by 123 people on Pinterest. See more ideas about preschool math, number worksheets
Aligned with the CCSS, the practice worksheets cover all the key math topics like number sense, measurement, statistics, geometry, pre-algebra and algebra.