math problem solving examples for grade 6

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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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Grade 6 Math Word Problems: Tips, Tricks, and Answers

Do you want to stimulate your 6 th grader’s creative thinking skills? Then, enjoy this brilliant math article. In this comprehensive guide, we will provide you with a treasure trove of fun solving strategies, tips, tricks, and answers to tackle those tricky grade 6 math word problems that have been confusing your students for some time now.

In this page, you will discover why math word problems are important for 6th-graders and simple methods of breaking down complex word problems into manageable steps.

Nevertheless, we will introduce you to Mathskills4kids.com , an outstanding website with thousands of common types of grade 6 math word problems and a step-by-step approach to solving them. Interestingly, we will illustrate how to use diagrams and models to solve math word problems efficiently.

Learn to love Grade 6 Math word problems with these worksheets and answers

Hello and welcome to Grade 6 Math word problems worksheets and answers , where your 6 th Grade students will learn to love and solve math problems and activities at all times.

We understand that word problems can often frustrate students, as they require a solid understanding of mathematical concepts and the ability to interpret and apply them to real-life situations. That's why we have compiled a collection of proven strategies and techniques to empower your students to approach word problems confidently and accurately.

From understanding problem-solving strategies to breaking down complex questions into manageable steps, this guide will equip you with the knowledge and resources to make math word problems a breeze. So, let's dive in and unlock the secrets to conquering grade 6 math word problems together!

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Download free worksheets, grade 6 math topics.

• Whole numbers

Multiplication

• Exponents and square roots
• Number theory
• Add & subtract decimals
• Multiply & divide decimals
• Fractions & mixed numbers
• Add & subtract fractions
• Multiply fractions
• Divide fractions
• Operations with integers
• Mixed operations
• Rational numbers
• Problems solving
• Ratio & proportions
• Percentages
• Measuring units
• Consumer math
• Telling time
• Coordinate graph
• Algebraic expressions
• One step equations
• Solve & graph inequalities
• Two-step equations
• 2D Geometry
• Symmetry & transformation
• Geometry measurement
• Data and Graphs
• Probability

Start practice on Sixth Grade here

Why are math word problems important for 6th-graders.

Math word problems are about more than just doing calculations. They are also about applying your math knowledge to real-world situations. Math word problems are important for 6 th graders because they help them to:

• Learn how to use different math concepts and skills in various contexts
• Develop their logical thinking and reasoning abilities
• Enhance their communication and literacy skills
• Prepare them for standardized tests and future math courses

Math word problems also make math more exciting and relevant. They show us how math can solve everyday problems and challenges. They also expose us to different topics and scenarios we may not encounter in our regular math lessons.

Strategies for solving Grade 6 math word problems

Solving Grade 6 math word problems can be intimidating, especially involving multiple steps or operations. But don't worry. Some general strategies will help your students confidently approach any word problem. Here are some of them:

• Please encourage them to read the problem carefully and identify the given information, the unknowns, and the question.
• They should rewrite the problem in their own words or summarize it in a sentence.
• Let them choose a suitable method or strategy to solve the problem. Some standard methods are guessing and checking, making a table or chart, drawing a picture or diagram, using a formula or equation, working backward, or using logical reasoning.
• They must show their work and explain each step clearly. Use appropriate units, labels, symbols, and terms.
• Lastly, tell them to check their answer by plugging it back into the problem or using a different method. Ensure their answer makes sense and answers the question.

Breaking down complex word problems into manageable steps

Some word problems may seem too complex or confusing at first glance. They may have too much information, too many steps, or too many operations. In such cases, breaking down the problem into smaller and simpler parts is helpful. Here are some tips on how to do that:

Words like "difference," "subtract," "take away," or "minus" indicate s ubtraction .

Words like "product," "multiply," "times," or "of" indicate multiplication .

Words like "quotient," "divide," "per," or "out of" indicate division .

Words like "ratio," "fraction," "percent," or "part" indicate fractions or decimals .

Words like "equal," "same as," or "is" indicate equations .

Words like "more than,” “less than," "greater than," or "smaller than" indicate inequalities .

Words like "average," "mean," or "median" indicate statistics .

Words like "area," "perimeter," "volume," or "surface area" indicate geometry , etc.

• Use parentheses, brackets, or other symbols to group the parts of the problem that belong together . For example, if the problem says:

You can rewrite it as:

• (John has 12 apples) + (Mary has 8 apples) = (total number of apples) / (4 people) = (number of apples per person)

This way, you can see the structure of the problem more clearly and focus on one part at a time.

• Solve each part of the problem separately and write down the intermediate results . For example, using the previous problem:
• (John has 12 apples) + (Mary has 8 apples) = (total number of apples)
• 12 + 8 = 20
• (total number of apples) / (4 people) = (number of apples per person)

This way, you can keep track of your work and avoid making mistakes.

• Combine the intermediate results to get the final answer. For example, using the previous problem :

This way, you can answer the question and check your answer.

Common types of grade 6 math word problems

There are many types of word problems that you may encounter in grade 6 math . Some of the most common ones found on Mathskills4kids.com are:

• Ratio and proportion problems : These problems involve finding the relationship between two quantities with the same unit or measure. For example, if 12 pencils cost $3, how much do 20 pencils cost?
• Percent problems : These problems involve finding the part, whole, or percent of a quantity. For example, if 30% of a class is boys, and there are 24 students, how many boys are there?
• Fraction problems : These problems involve adding, subtracting, multiplying, or dividing fractions. For example, how much pizza do you have left if you have 2/3 of a pizza and eat 1/4?
• Decimal problems : These problems involve adding, subtracting, multiplying, or dividing decimals. For example, if you buy a shirt for $12.50 and a pair of jeans for $24.75, how much change do you get from $50?
• Measurement problems : These problems involve converting between different units of measurement or finding the perimeter, area, or volume of shapes. For example, if a rectangle has a length of 15 cm and a width of 10 cm, what is its area in square meters?
• Algebra problems : These problems involve finding the value of an unknown variable or expression. For example, if x + 5 = 13, what is the value of x?

A step-by-step approach to solving different types of word problems

No matter what type of word problem your 6 th graders are faced with, they can use the following steps to solve it:

• They should read the problem carefully and identify the given information and the question.
• They must choose a variable to represent the unknown quantity and write an equation or expression that relates the given information and the question.
• They can now solve the equation or expression and find the variable's value.
• They can check their answer by plugging it back into the equation or expression to see if it makes sense.
• They can now write their answer in complete sentences and include the appropriate units.

Using diagrams and models to solve math word problems

Sometimes, it can be helpful to use diagrams and models to visualize the problem and make it easier to solve. Some examples of diagrams and models for solving math word problems are:

• Tape diagrams : These are horizontal or vertical bars showing the relationship between two quantities. For example, you can use a tape diagram to show how much money each person gets when $60 is shared equally among 4 people.
• Number lines : These horizontal lines show numbers and their relative positions. For example, you can use a number line to show how to add or subtract fractions with different denominators.
• Tables : These are grids that show data in rows and columns. For example, you can use a table to show how to find equivalent ratios or fractions.
• Charts : These are graphical representations of data using bars, circles, lines, or other shapes. For example, you can use a chart to show how to find the percent of a quantity or compare different quantities.
• Drawings : These are sketches or illustrations that show shapes or objects. For example, you can use a drawing to show how to find a shape's perimeter, area, or volume.

Providing answers and explanations to sample Mathskills4kids’ Grade 6 math word problems

Here are some sample Grade 6 math word problems with answers and explanations available at Mathskills4kids.com :

Answer : 6 cups of flour

Explanation : This is a ratio problem. We can use a tape diagram to show the relationship between flour and sugar.

Flour →|<---2 cups--->|<---2 cups--->|<---2 cups---> = 6

Sugar→|<---3 cups--->|<---3 cups--->|<---3 cups---> = 9

We can see that for every 3 cups of sugar, we need 2 cups of flour. So, for 9 cups of sugar, we need 6 cups of flour.

Answer : $15

Explanation : This is a percent problem. We can use a formula to find the sale price of the shirt.

Sale price = Original price - Discount

Discount = Percent off x Original price

We know the percent off is 40%, and the original price is $25. So, we can plug these values into the formula and solve for the sale price.

Discount = 40% x $25

Discount = 0.4 x $25

Discount = $10

Sale price = $25 - $10

Sale price = $15

Tips for improving problem-solving skills in Grade 6 math

Here are some tips that can help students improve their problem-solving skills in grade 6 math :

• Please encourage them to practice regularly and try different types of word problems.
• They should review the concepts and skills they have learned and apply them to new situations.
• They can use different strategies and methods to solve word problems and compare their results.
• Let them ask for help from the teacher, parents, or peers if they get stuck or confused.
• They should learn from their mistakes and try to avoid them in the future.

Bonus: additional resources to reinforce Grade 6 math problem skills

If you want to enhance your student's Grade 6 math word problem skills , or if you need some extra help, here are some additional and useful web links that you can check out:

• Math Playground : This website has a lot of fun and interactive games that let 6 th graders practice different types of math word problems, such as fractions, decimals, ratios, proportions, and more. They can also watch videos explaining how to solve some problems. https://www.mathplayground.com/wordproblems.html .
• Khan Academy : This website has many videos and exercises covering various topics in Grade 6 math, including word problems. Students can learn at their own pace and track their progress. https://www.khanacademy.org/math/cc-sixth-grade-math .
• IXL : This website has many practice questions aligned with the Common Core standards for Grade 6 math. Students can choose from different categories of word problems, such as expressions and equations, geometry, statistics, and more. They can also get instant feedback and explanations for their answers. https://www.ixl.com/math/grade-6 .
• Math Goodies : This website has a lot of worksheets and lessons that teach 6 th graders how to solve different types of word problems, such as percent, ratio, proportion, and more. They can also find tips and tricks for solving word problems faster and easier. https://www.mathgoodies.com/math-mammoth/worksheets/pdf/grade_6_word_problems.pdf .

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Math word problems can be challenging for many 6th-graders, but they are also important for developing their mathematical thinking and reasoning skills.

Using the strategies and steps we discussed in this article, your student's ability to solve different types of word problems in Grade 6 math can be improved.

You can also use the diagrams and models we have shown you to help your students visualize the problem and find the solution. Encourage them to practice as much as possible, and they must not be afraid to ask for help if needed.

You can also use the web links that we have provided to reinforce your student’s learning and have fun with math. We hope this article has helped your 6th-grade students feel more confident and prepared for tackling Grade 6 math word problems.

Happy problem-solving!

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Students are entering a new section of math that consists of algebra, geometry, decimals, and more complicated division problems. When there is not a parent or teacher around, students have access to on-demand videos for their sixth-grade mathematical lessons. Our video tutorials are taught by math teachers who go through the problem solving process.

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• Students learn money, ratios, decimals, graphing, and other concepts from the 6th grade curriculum.

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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.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

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
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There is a different grab pack for each grade.

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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)

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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Build Confidence with Math Problem Solving

Daily Problem Solving will help your 6th grade students master the skills they need to be successful with challenging word problems...and have fun doing it .

What you'll get with this download:

Your download includes a full week of Daily Problem Solving for Grade 6 to try out in your own classroom. Developed with the brain in mind, these multi-step word problems will challenge your learners without overwhelming them. Best of all, you'll be able to watch their skills and confidence grow as they begin to internalize strategies for conquering this difficult math skill.

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Proportions word problems

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Math worksheets: Proportions word problems

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Grade 6 Algebra Word Problems

These lessons look at solving Grade 6 algebra word problems by writing equations and expressions that matches the situation? The following are some examples and solutions for algebra word problems that you will commonly encounter in Grade 6.

Related Pages More Math Word Problems Algebra Word Problems Algebra Word Problems

Grade 6 Algebra Word Problems How to write one-step equations for grade 6 algebra word problems?

Example 1: Anna wants to celebrate her birthday by eating pizza with her friends. For $42.50 total, they can buy p boxes of pizza. Each box of pizza costs $8.50. Write an equation that matches the situation.

Example 2: Mr. Herman’s class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c boxes of candy. Foe every box they sell, they make $2.75. Write an equation that the students could solve to figure out how many boxes of candy they need to sell.

Grade 6 Algebra Word Problems How to write algebraic expressions from word problems?

Example 1: The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill If the dentist finds v cavities, what will the cost of the visit be? Write your answer as an expression.

Example 2: Sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday. How much money did Sunny earn this week? Write your answer as an expression.

Example 3: There are c players on the Cougars hockey team. The team scored a total of 36 goals this season. One of the players, Matthew, scored 2 more goals than the average per player. How many goals did Matthew score? Write your answer as an expression.

Example 4: Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same amount of books and reach a total donation of 300 books. How many books will Hannah have in her collection after her donation. Write your answer as an expression.

Grade 6 Algebra Word Problems - Rate, Distance, Time

Example 1: Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete. How long was the race? Write your answer as an expression.

Example 2: The Running Aces card team won $548 playing in poker tournaments last year. The winnings were split among the p players. How much money did each player receive? Write your answer as an expression.

Example 3: Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter. What were Phil’s net winnings from the tournament? Write your answer as an expression.

Example 4: Hillary made 48 chocolate chip cookies and y sugar cookies How many total cookies did Hillary make? Write your answer as an expression.

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Unit 1: Ratios

About this unit.

Ratios let us see how two values relate, especially when the values grow or shrink together. From baking recipes to sports, these concepts find their way into our lives on a daily basis.

Intro to ratios

• Intro to ratios (Opens a modal)
• Basic ratios (Opens a modal)
• Part:whole ratios (Opens a modal)
• Ratio review (Opens a modal)
• Basic ratios Get 5 of 7 questions to level up!

Visualize equivalent ratios

• Ratios with tape diagrams (Opens a modal)
• Ratios with tape diagrams (part:whole) (Opens a modal)
• Equivalent ratio word problems (Opens a modal)
• Simplify a ratio from a tape diagram (Opens a modal)
• Ratios and double number lines (Opens a modal)
• Ratios with tape diagrams Get 3 of 4 questions to level up!
• Equivalent ratios with equal groups Get 3 of 4 questions to level up!
• Create double number lines Get 3 of 4 questions to level up!
• Ratios with double number lines Get 3 of 4 questions to level up!
• Relate double number lines and ratio tables Get 3 of 4 questions to level up!

Equivalent ratios

• Ratio tables (Opens a modal)
• Solving ratio problems with tables (Opens a modal)
• Equivalent ratios (Opens a modal)
• Equivalent ratios: recipe (Opens a modal)
• Understanding equivalent ratios (Opens a modal)
• Interpreting unequal ratios (Opens a modal)
• Ratio tables Get 3 of 4 questions to level up!
• Equivalent ratios Get 3 of 4 questions to level up!
• Equivalent ratio word problems Get 3 of 4 questions to level up!
• Equivalent ratios in the real world Get 3 of 4 questions to level up!
• Understand equivalent ratios in the real world Get 3 of 4 questions to level up!

Ratio application

• Ratios on coordinate plane (Opens a modal)
• Ratios and measurement (Opens a modal)
• Part to whole ratio word problem using tables (Opens a modal)
• Ratios FAQ (Opens a modal)
• Ratios on coordinate plane Get 3 of 4 questions to level up!
• Ratios and units of measurement Get 3 of 4 questions to level up!
• Part-part-whole ratios Get 3 of 4 questions to level up!