math problem solving worksheets 6th grade

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→ → Grade 6 This is a comprehensive collection of free printable math worksheets for sixth grade, organized by topics such as multiplication, division, exponents, place value, algebraic thinking, decimals, measurement units, ratio, percent, prime factorization, GCF, LCM, fractions, integers, and geometry. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any sixth grade math program, but go especially well with . 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). All worksheets come with an answer key placed on the 2nd page of the file. In sixth grade, students will start the study of beginning algebra (order of operations, expressions, and equations). They learn about ratios & percent and start using integers. Students also review long division, factoring, fraction arithmetic, and decimal arithmetic.In geometry, the focus is on the area of triangles and polygons and the volume of rectangular prisms. Other topics include rounding, exponents, GCF, LCM, and measuring units. Please note that these free worksheets do not cover all 6th grade topics; most notably, they do not include problem solving. Multiplication and Division and Some Review (0-2 decimal digits) , need to add zeros to the dividend , rounding the answers to three decimals 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. Exponents Place value/Rounding (up to 9 digits) (up to 12 digits) (up to 9 digits), the parts are scrambled (up to 12 digits), the parts are scrambled (up to 6 decimal digits), the parts are scrambled - rounding to the underlined digit, up to rounding to the nearest million - round to the underlined digit, up to rounding to the nearest trillion Algebra (by combining like terms; no negative numbers) ) Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system. Fractions vs. Decimals This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover real-world uses of decimals in pricing, sports, metrics, calculators, and science. (Think of how many times the divisor fits into the quotient.) (1 decimal digit) Measuring units - a challenge - use a calculator - use a calculator - use a calculator - use a calculator - use a calculator - using decimals - using decimals - using decimals - using decimals (mm, cm, dm, m, dam, hm, km) (mg, cg, dg, g, dag, hg, kg) (ml, cl, dl, L, dal, hl, kl) Ratio Percent - easy, percents are multiples of ten - easy, percents are multiples of ten - medium, percents are multiples of five - use a calculator - easy - use a calculator Prime factorization, GCF, and LCM Fraction addition and subtraction - 3 fractions, denominators 2-12 - 3 fractions, denominators 2-20 - 4 fractions, denominators 2-12 (two numbers; fractions, mixed numbers, or whole numbers) (three numbers; fractions, mixed numbers, or whole numbers) - mental math, as the answers are whole numbers (easy, varied denominators) Integers (scaling on the grid is from -20 to 20) (print in landscape) (print in landscape) Geometry (scaling on the grid is from -50 to 50) (easy: halves, thirds, and fourths; the whole number part is max 1) (easy: halves, thirds, and fourths; the whole number part is max 2) (challenge: fractions up till sixths) (easy) (using decimals) when surface area or volume is given Proportions - only whole numbers Circle

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6th Grade Math Worksheets Hub Page

Welcome to our 6th Grade Math Worksheets hub page.

This is a new hub page and currently under development - so there will be more 6th grade resources on the way soon!

Here you will find a wide range of free printable worksheets that follow the standards for 6th Grade .

Come and take a look at our adding subtracting fractions page, or our 6th grade math games page. Looking for some help with algebra? We have some basic algebra worksheets too.

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• This page contains links to other Math webpages where you will find a range of activities and resources.
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6th Grade Math Learning

Here are the standards for the end of the year for 6th Grade.

• Find the greatest common factor of whole numbers up to 100.
• Find the least common multiple of two whole numbers up to 12.
• Recognise opposite signs of numbers (positive and negative) as being on opposite sides of 0 on a number line.
• Recognise that the opposite of the opposite of a number is the number itself e.g. -(-7) = 7
• Understand a rational number as a point on a number line.
• Find and position rational numbers on a range of number lines.
• Understand the absolute value of a number.
• Write, interpret and explain statements about rational numbers, such as -3°C > -7°C
• Write and evaluate expressions involving whole number exponents.
• Fluently divide multi-digit numbers.
• Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm.
• Find the percentage of a quantity as a rate per 100.
• Divide fractions by fractions using visual models.
• Solve problems involving dividing fractions by fractions.
• Understand the concept of ratio and use ratio language.
• Understand the concept of a unit rate a/b associated with a ratio a:b.
• Use ratio and rate reasoning to solve a range of problems.
• Write, read, and evaluate expressions in which letters stand for numbers
• Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);
• Evaluate expressions at specific values of the variables of different formulas.
• Apply the properties of operations to generate equivalent expressions, e.g. 10 + 5y = 5(2 + y).
• Reason about and solve one-variable equations and inequalities.
• Write an inequality of the for x<c or x>c to represent a constraint or condition.
• Represent and analyze quantitative relationships between dependent and independent variables.
• Develop understanding of statistical variability
• Summarize and describe distributions
• Display numerical data in plots on a number line, including dot plots, histograms, and box plots
• Find the median and the mean of a set of data.
• Find the interquartile range and/or mean absolute deviation and describe patterns in data.
• Find the area of right triangles, other triangles, special quadrilaterals, and polygons.
• Find the volume of a right rectangular prism with fractional edge lengths
• Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms.
• Draw polygons in the coordinate plane given coordinates for the vertices.
• Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.
• Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
• Represent three-dimensional figures using nets made up of rectangles and triangles.
• Use the nets to find the surface area of these figures

6th Grade Math Worksheets

On this page you will find link to our range of math worksheets for 6th grade.

Quicklinks to 6th Grade ...

• 6th Grade Place Value
• 6th Grade Number Sense Zone
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Word Problems Zone

Fractions Percentages Ratio Zone

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Data Analysis Zone

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Summer term Math Grab Packs - out now!

Our summer term grab packs are out now.

There is a different grab pack for each grade.

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• Summer term Math Grab Packs

6th Grade Place Value Zone

Ordering numbers, including negative numbers, decimals to 3dp and rational numbers.

The sheets in this section involve negative numbers, decimals to 3 decimal places, and a range of rational numbers.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Decimals to 3dp
• Ordering Negative Numbers -10 to 10
• Ordering and Comparing Rational Numbers

Rounding Decimals and Significant Figures

• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges
• Rounding Significant Figures Worksheets

6th Grade Number Sense Worksheets

Here you will find a range of 6th Grade Number Worksheets covering skills connected to Numbers and the Number System.

Using these sheets will help your child to:

• understand how to use inequalities including where you have two values
• understand how to use exponents (powers) of a number;
• find the greatest common factors of two numbers up to 100
• find the least common multiple of two numbers up to 12.
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• understand and use absolute value

Inequalities

• Inequalities on a Number Line
• Writing Inequalities from Word Problems

Factors and Multiples 6th Grade Worksheets

• Greatest Common Factor Worksheets
• Least Common Multiple Worksheets
• Factor Tree Worksheets (easier)
• Prime Factorization Worksheets (harder)

PEMDAS and Order of Operations Worksheets

• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets 5th Grade
• 6th Grade Order of Operations
• Absolute Value Worksheets

Roman Numerals Worksheets

• Roman Numerals worksheets

6th Grade Mental Math Quizzes

Here you will find a range of printable mental math 6th grade quizzes for your child to enjoy.

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Mental Math Worksheets 6th Grade

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4 Operations Zone

Decimal counting worksheets.

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• find number bonds to 1;
• Counting By Decimals
• Decimal Number Bonds to 1

6th Grade Addition & Subtraction Worksheets

The following 6th grade math worksheets involve using addition and subtraction with a range of different number types.

• add and subtract decimals up to 3dp;
• add a columns of multi-digit numbers, including decimals.
• add and subtract positive and negative integers

The addition worksheet generator below will create a range of addition problems in columns, including decimals.

• Addition With Regrouping Worksheet Generator
• Subtraction With Regrouping Worksheet Generator
• Adding Positive and Negative Numbers (randomly generated)
• Subtracting Positive and Negative Numbers (randomly generated)
• Adding and Subtracting Negative Numbers (randomly generated)

6th Grade Multiplication Worksheets

Here you will find a range of Free Printable 5th Grade Multiplication Worksheets.

The following worksheets involve using the 6th Grade Math skills of multiplying multi-digit numbers, including decimals.

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals by a whole number;
• multiply positive and negative numbers.
• Multiplying Decimals by Whole Numbers
• Negative Number Multiplication (randomly generated)
• Multiply and Divide Negative Numbers (randomly generated)

6th Grade Division Worksheets

Here you will find a range of Free Printable 6th Grade Division Worksheets.

The following worksheets involve using the 6th Grade Math skills of dividing multi-digit numbers, including decimals, and solving division problems.

Using these sheets will help your child learn to:

• divide multi-digit numbers by one and 2-digit numbers;
• divide decimals.
• Divisibility Rules Worksheets
• Decimal Division Facts
• Long Division of Decimal Numbers
• Dividing Negative Numbers (randomly generated)

6th Grade Math Problems

Here you will find our selection of free 6th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.
• 6th Grade Percent Word Problems
• Fractions Worksheets
• Percentage Worksheets
• Ratio Worksheets

6th Grade Fraction Worksheets

Here you will find a range of free printable 6th Grade Fraction Worksheets.

At 6th Grade level, children are introduced to adding and subtracting fractions with different denominators. They know and can use equivalent fractions, and can multiply and divide fractions by whole numbers, as well as mixed numbers.

• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Multiplying Fractions Worksheets
• Multiplying Mixed Fractions
• How to Divide Fractions
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• How to Divide Mixed Numbers
• Multiplying and Dividing Fractions (Randomly Generated)
• Add Subtract Multiply Divide Fractions (Randomly Generated)
• Free Printable Fraction Riddles (harder)
• Fractions Decimals Percents Worksheets

6th Grade Percentage Worksheets

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Basic Percentage Word Problems (easier)
• 6th Grade Percent Word Problems (harder)

6th Grade Ratio and Unit Rate Worksheets

These 5th grade ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets
• The Definition of Unit Rate
• Unit Rate Problems 6th Grade

6th Grade Algebra Worksheets

If you are looking for some 6th grade algebra worksheets to use with your child to help them understand simple equations then try our selection of basic algebra worksheets.

There are a range of 6th grade math worksheets covering the following concepts:

• Generate the algebra - and write your own algebraic expressions;
• Calculate the algebra - work out the value of different expressions;
• Solve the algebra - find the value of the term in the equation.
• Use the distributive property to factorize and expand different expressions
• 6th Grade Distributive Property Worksheets
• Expressions and Equations 6th Grade
• Basic Algebra Worksheets (6th & 7th Grade)
• Input and Output Function Tables with Algebraic Functions

Geometry & Measurement Zone

Quicklinks to ...

6th Grade Geometry Worksheets

Here is our range of 6th grade Geometry worksheets.

• Geometry Nets Information and Worksheets
• Parts of a Circle Worksheets
• Coordinate Plane Worksheets (All 4 Quadrants)

6th Grade Area & Perimeter Worksheets

• Area of Parallelogram Worksheets
• Area of Quadrilaterals
• Area of Right Triangle
• Square Inside a Circle Area Support Page
• Surface Area Worksheet 6th Grade

6th Grade Measurement Worksheets

• Metric Conversion Worksheets (4th to 6th Grade)
• Convert Customary Units of Length Worksheets (randomly generated)
• Convert Customary Units of Capacity Worksheets (randomly generated)

Data & Statistics Worksheets

Find links to our 6th grade Statistics worksheets below.

Using these 6th grade math worksheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• find the median of a set of data.
• create and interpret line plots.
• create and interpret dot plots and box plots.
• Median Worksheets
• Mean Worksheets
• Mode and Range Worksheets
• Mean Median Mode and Range Worksheets
• Line Graphs 6th Grade Worksheets
• Dot Plot Worksheets
• Box Plot Worksheets

Fun Zone: Puzzles, Games and Riddles

• 6th Grade Math Games

Here you will find a range of free printable 6th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 6 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

• Algebra Math Games
• 6th Grade Math Puzzles

Here you will find a range of printable 6th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition and subtraction facts, including fractions and decimals;
• develop their understanding of negative numbers;
• practice and apply multiplication and division facts;
• develop problem solving skills and reasoning.

6th Grade Math Quiz

Here is our collection of Math Quizzes for 6th grade.

Quizzes are a great way to practise math skills or to asses knowledge.

• 6th Grade Math Quiz page

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Proportions word problems

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Math worksheets: Proportions word problems

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Math word Problems With Answers for Grade 6

Grade 6 maths word problems with answers are presented. Some of these problems are challenging and need more time to solve. Also detailed solutions and full explanations are included.

• Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
• If the area of a circle is 81pi square feet, find its circumference.
• Find the greatest common factor of 24, 40 and 60.
• In a given school, there are 240 boys and 260 girls. a) What is the ratio of the number of girls to the number of boys? b) What is the ratio of the number of boys to the total number of pupils in the school?
• If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
• Find k if 64 ÷ k = 4.
• Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
• What is x if x + 2y = 10 and y = 3?
• A telephone company charges initially $0.50 and then $0.11 for every minute. Write an expression that gives the cost of a call that lasts N minutes.
• A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
• A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
• A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
• A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Write an expression in terms of x for the area of the remaining shape.
• A rectangle A with length 10 centimeters and width 5 centimeters is similar to another rectangle B whose length is 30 centimeters. Find the area of rectangle B.
• A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. How many students are in this school when no students are absent?
• The perimeter of square A is 3 times the perimeter of square B. What is the ratio of the area of square A to the area of square B.
• John gave half of his stamps to Jim. Jim gave gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
• Two balls A and B rotate along a circular track. Ball A makes 4 full rotations in 120 seconds. Ball B makes 3 full rotation in 60 seconds. If they start rotating now from the same point, when will they be at the same starting point again?
• A segment is 3 units long. It is divided into 9 parts. What fraction of a unit are 2 parts of the segment?
• A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
• Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's & Jim's age. Find the present age of each one of them.
• Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?
• The distance bewteen Harry and Kate is 2500 meters. Kate and Harry start walking toward one another and Kate' dog start running back and forth between Harry and Kate at a speed of 120 meters per minute. Harry walks at the speed of 40 meters per minute while Kate walks at the speed of 60 meters per minute. What distance will the dog have travelled when Harry and Kate meet each other?

Answers to the Above Questions

• a) 13:12 b)12:25
• 0.50 + N * 0.11
• 4.5 gallons
• 450 centimeters squared
• 108 cubic centimeters
• 1250 meters/minute
• Carla:5 years, Jim: 6 years, Peter: 19 years.
• 3000 meters

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6th Grade Math Worksheets

Count on our printable 6th grade math worksheets with answer keys for a thorough practice. With strands drawn from vital math topics like ratio, multiplication, division, fractions, common factors and multiples, rational numbers, algebraic expressions, integers, one-step equations, ordered pairs in the four quadrants, and geometry skills like determining area, surface area, and volume, organizing numerical data as dot plots, histograms and box plots, finding mean, median, and quartiles of datasets, these pdfs become your often go-to place. Grab your ticket to a great start with our free math worksheets for grade 6 students!

Select Grade 6 Math Worksheets by Topic

Explore 4,600+ Sixth Grade Math Worksheets

Division | 4-Digit by 2-Digit and 3-Digit

Divide a 4-digit number by a 2-digit or 3-digit number, starting from the largest place value and dividing your way down to the last digit to find the quotient and remainder (if any).

• Download the set

Drawing Shapes to Represent the Ratio

Jazz up your ratio skills with our 6th grade math worksheet pdfs. Direct students to visually represent the terms of each ratio by sketching the specified number of shapes.

Multiplying Two Fractions by Cross Cancelling

Breaking down the numerator and denominator into prime factors, cross-cancelling the common factors, and multiplying the uncancelled parts of the fraction are all grade 6 learners are expected to do!

Expressing Decimals in Words | Up to Millionths

Let your understanding of decimal place value soar to new heights as you dive into these printable 6th grade math worksheets and express decimals up to millionths in words and vice versa.

Finding the GCF of Two Numbers

Follow the step-by-step process of finding the GCF by listing out all the factors of each pair of 2-digit numbers, then compare the factors, figure out the common ones and the greatest among them is your answer.

Representation of Integers

Laying a strong foundation in integers becomes easy with a touch of real-world offered in these grade 6 math pdf worksheets, where each scenario should be represented with a positive or negative integer.

One-Step Equation: Addition and Subtraction | Integers

Rearrange the equation, making the variable the subject, and take the integer constant to the other side and change its sign, add or subtract to find the value of the unknown variable.

Identifying Ordered Pairs in All Quadrants

Get acquainted with the coordinate plane, the four quadrants, and the ordered pairs. Identify the point representing each ordered pair in Part A; and locate and write the x-y coordinates of each point in part B.

Determining the Area of a Square

Equip grade 6 children with these printable math worksheets, if practice in determining the area of a square is on your mind. Get students to square the fractional side lengths and compute the area.

Identifying Nets of 3D Shapes

Get 6th grade learners to imagine folding the 2D nets presented in this printable math worksheet along the edges and visualize the 3D shapes that can be constructed from them.

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Surface Area using Nets | Counting Squares

Whether it is refining or testing skills in counting the unit squares to determine the surface area of rectangular prisms, cubes or triangular prisms from their nets, these pdfs serve the purpose.

Five-Number Summary

Descriptively analyze each dataset, by rearranging the values in ascending order and figuring out the maximum and minimum values, and the lower or 1st, median or 2nd, and upper or 3rd quartiles.

Division of 5-Digit Numbers by 1-Digit and 2-Digit Divisors

Push boundaries and brush up your division skills with adequate practice provided by these exercises in dividing 5-digit numbers with single and double-digit divisors.

Ratio Word Problems | Part-to-Part

Put your analytical skills to test with our 6th grade math worksheet pdfs. Study the data given in the pictogram and answer the set of questions detecting the part-to-part ratio in each scenario.

Multiplying Mixed Numbers and Fractions

Effortlessly multiply mixed numbers and fractions by converting the mixed numbers to improper fractions, cross cancelling the common factors and then multiplying what's left over.

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6th Grade Math Worksheets

In this section, you can view all of our sixth-grade math worksheets and resources. these include common-core aligned, themed and age-specific worksheets. perfect to use in the classroom or homeschooling environment..

• Kindergarten

We add dozens of new worksheets and materials for math teachers and homeschool parents every month. Below are the latest grade 6 worksheets added to the site.

Applying Percentage, Base, and Rate 6th Grade Math Worksheets

Understanding Positive and Negative Integers 6th Grade Math Worksheets

Finding Common Factors Between Two Whole Numbers Within 100 6th Grade Math Worksheets

Understanding Ratio between Two Quantities 6th Grade Math Worksheets

Multiplying and Dividing Fractions 6th Grade Math Worksheets

Examining Shapes of Distribution 6th Grade Math Worksheets

Solving Measures of Variability 6th Grade Math Worksheets

Solving Measures of Central Tendency 6th Grade Math Worksheets

Understanding Statistical Questions 6th Grade Math Worksheets

Constructing Geometry Nets 6th Grade Math Worksheets

Polygons in the Coordinate Plane 6th Grade Math Worksheets

Finding the Surface Area and Volume of Solid Figures 6th Grade Math Worksheets

Finding the Area of Triangle and Quadrilaterals 6th Grade Math Worksheets

Understanding Dependent and Independent Variables 6th Grade Math Worksheets

Understanding and Solving One-Variable Inequalities 6th Grade Math Worksheets

Understanding and Solving One-Variable Equations 6th Grade Math Worksheets

The Distributive Property and Algebraic Expressions 6th Grade Math Worksheets

Writing and Evaluating Algebraic Expressions 6th Grade Math Worksheets

Understanding Exponents 6th Grade Math Worksheets

6th Grade End Of Year Test Booklet

6th grade common core aligned learning objectives & standards:.

Learning objectives:

In Grade 6, instructional time should focus on four critical areas: 

(1) relating ratio and rate to whole number multiplication and division and applying the basic concepts of ratio and rate to solve problems; 

(2) showing mastery of division of fractions and extending the set of number to the system of rational numbers , which includes negative numbers; 

(3) writing, interpreting, and using expressions and equations; and (4) developing understanding of statistical thinking. 

a. Conceptual skills

• Learners provide acceptable reasons about multiplication and division in solving ratio and rate problems about quantities. They make use of their understanding of multiplication and division with ratios and rates by assuming equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative size of quantities. 
• Learners connect the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to explain the logical solution for dividing fractions . In that way, they use these operations to solve problems. 
• 6th graders broaden their schema of numbers and the ordering of numbers to the full system of rational numbers, which includes negative rational numbers, and in particular, negative integers. 
• They explain the concepts behind the order and absolute value of rational numbers and about the location of points in all four quadrants of the coordinate plane. 
• They will have initial understanding of statistical concepts such as measures of central tendency and measures of variability. They recognize that these concepts can also be useful for summarizing data because two very different sets of data can have the same mean and median yet be distinguished by their variability. 
• They also learn to describe and summarize numerical data sets, identifying clusters, peaks, gaps, and symmetry, considering the context in which the data were collected. 

b. Procedural skills

• Learners go beyond the scope of problems about ratios for which they can use multiplication and division related to ratios and fractions to solve problems. 
• They apply the concepts of variables in mathematical expressions. In that way, they will be able to write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Learners acknowledge the fact that expressions in different forms can be equivalent, and they apply the properties of operations to rewrite expressions in equivalent forms. 
• Learners will practice the learned concepts about equations and inequalities by solving for the solution set that will make the equations or inequalities true. They make use of the properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations . 
• Students construct and analyze tables, such as tables of quantities that are in equivalent ratios, and they use equations (such as 2x = y) to describe relationships between quantities. 
• They solve for the areas of right triangles, other triangles, and special quadrilaterals by decomposing these shapes, rearranging or removing pieces, and relating the shapes to rectangles. 
• Learners will be able to discuss, develop, and justify formulas for areas of triangles and parallelograms. They extend their understanding of surface area and volume of solid figures such as prisms, pyramids, cylinders, etc.

c. Life skills

• As the coordinate plane is fully discussed in 6th grade, learners would be able to understand how important finding accurate location is. Given its wide applications in using maps, GPS, longitude, latitude, etc, learners appreciate more the meaning of their lessons in the real world.
• Statistics help the 6th graders to make sound decisions, conclusion, prediction, and inferences based on numerical data or trends.
• Students in Grade 6 also design community projects by integrating the relationships among shapes to determine area, surface area, and volume. 
• They prepare for work on scale drawings and constructions in Grade 7 by drawing polygons in the coordinate plane.

Free Printable Multi-Step Word Problems Worksheets for 6th Grade

Multi-Step Word Problems: Discover a collection of free printable math worksheets for Grade 6 students, designed to help them master solving complex problems through a series of smaller, manageable steps. Empower your teaching with Quizizz!

Explore Multi-Step Word Problems Worksheets by Grades

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Explore printable Multi-Step Word Problems worksheets for 6th Grade

Multi-Step Word Problems worksheets for Grade 6 are an essential resource for teachers looking to enhance their students' math skills and problem-solving abilities. These worksheets provide a variety of challenging and engaging math word problems that require students to use multiple steps and operations to find the solution. By incorporating these worksheets into their lesson plans, teachers can help their Grade 6 students develop a deeper understanding of mathematical concepts, improve their critical thinking skills, and build confidence in their ability to tackle complex problems. With a wide range of topics covered, from fractions and decimals to geometry and algebra, these Multi-Step Word Problems worksheets for Grade 6 are a valuable tool for any math teacher looking to challenge and inspire their students.

In addition to Multi-Step Word Problems worksheets for Grade 6, teachers can also utilize Quizizz, an interactive platform that offers a variety of engaging and customizable quizzes, games, and activities to supplement their math curriculum. Quizizz allows teachers to create their own quizzes or choose from a vast library of pre-made quizzes, covering a wide range of topics and difficulty levels. This platform not only provides a fun and interactive way for students to practice their math skills but also offers valuable insights and analytics for teachers to track their students' progress and identify areas for improvement. By incorporating Quizizz into their lesson plans, teachers can provide a well-rounded and engaging learning experience for their Grade 6 students, helping them excel in math and build a strong foundation for future success.

6th Grade Math Worksheets

Scholastic Teachables (formerly Scholastic Printables) has more than 700 6th grade math worksheets that span many different sixth grade math skills and more than 30,000 award-winning printables for all grades and subjects! Sign up today and get instant online access to 6th grade math worksheets, lesson plans, practice pages, and more to cover all the necessary math skills. Learn why thousands of teachers have chosen Scholastic to be their teaching resource.

Scholastic's 6th Grade Math Worksheets Cover:

• Addition and Subtraction
• Charts and Graphs
• Data Analysis
• Logic and Problem Solving
• Multiplication and Division
• Order of Operations
• Percents, Proportions, Rates, Ratios
• Probability and Statistics
• Real-World Math
• Time and Measurement
• Word Problems

Sample 6th Grade Math Worksheets

Scholastic Teachables' more than 700 printable 6th grade math worksheets span more than 20 different math topics. Plus, you'll get access to more than 30,000 award-winning printables and leveled learning collections in reading and math to reach every learner. Scholastic publishes new printable 6th grade math worksheets each month to keep your courses fresh, exciting, and up-to-date, and you can access all of our resources from any device, whether at school or at home. Spend more time focusing on your courses and less time on preparing materials—simply find it, print it, teach it!

Here's a sample of math worksheets for you to try in your class— FREE  with a 30-day trial or subscription.

• Patterns and Symmetry
• Perimeter and Area
• Place Value
• Probability
• Skip Counting

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