measurement problem solving year 6

Free Printable Measurement Word Problems Worksheets for 6th Year

Measurement Word Problems: Discover a collection of free printable worksheets for Year 6 math teachers, focusing on math measurement word problems to enhance students' problem-solving skills.

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Explore printable Measurement Word Problems worksheets for 6th Year

Measurement Word Problems worksheets for Year 6 are an essential tool for teachers looking to help their students master the critical skill of solving math word problems. These worksheets provide a variety of real-world scenarios that require students to apply their knowledge of measurement concepts, such as length, weight, and capacity, to solve problems. By incorporating these worksheets into their lesson plans, teachers can ensure that their Year 6 students are well-prepared to tackle math word problems that involve measurement. Additionally, these worksheets can be used as a form of assessment to track student progress and identify areas where additional instruction may be needed. Measurement Word Problems worksheets for Year 6 are a valuable resource for any teacher looking to enhance their students' understanding of math concepts and problem-solving skills.

Quizizz is an excellent platform for teachers to incorporate Measurement Word Problems worksheets for Year 6 into their curriculum. This interactive platform allows teachers to create engaging quizzes and games that can be used to supplement traditional worksheets, providing students with a fun and interactive way to practice their math skills. In addition to offering a wide range of pre-made quizzes and games, Quizizz also allows teachers to customize their content to align with their specific lesson plans and objectives. This flexibility makes it easy for teachers to integrate Quizizz into their existing curriculum, ensuring that their Year 6 students receive a well-rounded education in math and math word problems. By utilizing Quizizz in conjunction with Measurement Word Problems worksheets for Year 6, teachers can create a dynamic and engaging learning environment that fosters student success.

You can help your child practise conversions by making the most of real-life opportunities. For example, if you are travelling abroad and the distances are measured in kilometres, you could convert these to miles.

Closer to home, think about how many miles it is to the shops and try to convert that into metres, or vice versa.

If you are cooking with your child, discuss which ingredients are measured in metric units and which are measured in imperial units. Can they convert between the two? For example:

The recipe requires half a pound of butter. Can you convert this into grams? If 1 pound is equivalent to 450g, then half a pound will be equivalent to 225g .

Activity: Shortbread fingers

Convert units and make a tasty treat!

3. Explore area and perimeter

Your child will learn to measure and calculate the perimeter and area of rectangles and composite rectilinear shapes .  Composite shapes are shapes that can be divided into more than one simple shape.  Rectilinear shapes are shapes which only have straight sides and right angles.

Floor plans are great for showing how important measurement is in real-life situations. You could find floor plans for houses or flats online, and ask your child if they can work out the perimeter and area of particular rooms. For example, why not ask your child to calculate the quantity of carpet needed to cover the floor in each bedroom?

Once they are comfortable with the idea of a floor plan, you could encourage them to make a floor plan of their dream bedroom! Remind them to think carefully about the room’s scale, and to use squared paper if needed.

They should record their perimeters and areas using the most appropriate units, such as metres and square metres (m²).

4. Explore volume

The difference between volume and capacity is quite subtle, and can be difficult to understand:

• Volume means the amount of space occupied by a 3D shape. It is measured in cubed units like cm³.
• Capacity means the amount a container can hold. Capacity is measured in metric units such as litres or imperial units such as pints.

You can help your child get to grips with the different units used to measure volume by pointing them out in the real world. When you are at the swimming pool, ask your child whether its capacity is most likely to be measured in cubic millimetres, centimetres, metres, or kilometres, and discuss why.

Another fun activity you can use to explore volume is making boxes. Drawing a plan like the one below onto squared paper, your child could make a number of lidless boxes with different volumes:

Find out what happens to the base of each box when you use a smaller piece of paper, and measure the height of the sides of each of the boxes. Can your child work out how much each box can hold? Encourage your child to record and talk about their findings.

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Maths Problem solving with metric and imperial measurements Year 6

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

18 February 2021

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In this lesson, students will apply their understanding of metric and imperial measurement unit conversions. They will revisit the conversions and when they would be used in real life and will then will complete a range of problems.

The activity sheets come in 3 levels and answers are provided. By the end of the lesson, students will have consolidated and applied their understanding to real life contexts.

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Maths Term 2 Year 6 BUNDLE

This term 1 BUNDLE for Year 6 students includes lessons on the following: **Fractions, decimals and percentages:** - Dividing decimals by integers - Multiplying decimals by integers - Fraction & decimal equivalents - Multiplying and dividing decimals by 10,100,1000 - Fractions, decimals and percentages **Measures:** - Converting metric units - Converting imperial units - Problem solving with metric and imperial units - Area and perimeter - Area of triangles and parallelograms - Volume of cubes and cuboids **Ratio & Proportion:** - Ratio and proportion - Ratio and scale factor - Calculating amounts in a given ratio - Problem solving with ratio and proportion **Algebra:** - Finding the rule - Forming expressions - Using simple formulae - Enumerating possibilities of combinations of variables - Finding pairs of numbers in equations All lessons come with an interactive powerpoint presentation and relevant resources which are differentiated. Answers are also provided. These resources have been tried and tested- they are high quality and support effective teaching towards the National Curriculum objectives. If you would like to see more resources from ResourcesForYou then please visit: https://www.tes.com/teaching-resources/shop/ResourcesForYou Leave a review for this resource and send a copy of your receipt to [email protected] to receive a FREE single resource of your choice!

Maths Measurement Year 6

This BUNDLE includes lessons on the following: - solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate. - use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places. - convert between miles and kilometres. - recognise that shapes with the same areas can have different perimeters and vice versa. - recognise when it is possible to use formulae for area and volume of shapes - calculate the area of parallelograms and triangles - calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3) and cubic metres (m3), and extending to other units[for example, mm3 and km3]. All lessons come with an engaging power point presentation, activity sheets and answers. All lessons are intended for Year 6 students but can easily be modified to suit lower KS2 and KS3 students. Leave a review for this resource and send a copy of your receipt to [email protected] to receieve a FREE single resource of your choice!

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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• 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.

Year 6 Maths Learning

Here are some of the key learning objectives for the end of Year 6:

• know and use Place value up to 10 million
• Counting on and back in steps of powers of 10 from any number up to 10 million
• Round numbers to any given degree of accuracy.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000 and recognise years written in Roman numerals
• solve multi-step problems using addition and subtraction in a range of contexts
• identify multiples and factors including common factors
• multiply and divide up to 4-digit numbers by up to 2 digits
• Use their knowledge of the order of operations to carry out calculations involving the four operations.
• Identify common factors, common multiples and prime numbers.
• solve problems involving addition, subtraction, multiplication and division
• simplify fractions
• compare and order fractions including mixed numbers
• add and subtract fractions with different denominators including mixed numbers
• multiply simple fractions together and simplify the answer
• divide proper fractions by whole numbers
• recall and use equivalence between simple fractions, decimals and percentages.
• Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
• read, write, order and compare numbers up to 3dp
• round decimals with up to 3dp to the nearest whole
• solve problems with numbers up to 3dp
• work out percentages of different amounts
• solve problems using percentages
• use simple formulae
• express missing number problems using algebra
• find pairs of numbers that satisfy equations with two variables
• solve problems involving simple ratios
• solve problems involving similar shapes where the scale factor is known
• use, read, write and convert between standard units of measure
• measure, compare and calculate using different measures
• know that shapes with the same area can have different perimeters
• find the area of parallelograms and right triangles
• find the volume of cubes and cuboids
• convert between miles and km
• name and understand the parts of circles - radius, diameter and circumference
• draw 2D shapes accurately using dimensions and angles
• compate and classify 2D shapes by a range of properties
• find missing angles in triangles, quadrilaterals and regular shapes
• use coordinates in all 4 quadrants
• draw and translate simple shapes in all 4 quadrants
• interpret and construct pie charts and line graphs
• calculate the mean as an average

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 6 is generally equivalent to 5th Grade in the US.

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

Quicklinks to Year 6 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions percents ratio zone.

• Percentages Zone
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Geometry Zone

Data analysis zone.

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Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 6 number worksheets.

Here you will find a range of Free Printable Year 6 Number Worksheets.

Using these Year 6 maths worksheets will help your child to:

• use place value with numbers up to 10 million;
• use place value with up to 3 decimal places;
• understand how to use exponents (powers) of a number;
• understand and use parentheses (brackets);
• understand and use multiples and factors;
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• Place Value Worksheets to 10 million
• Place Value to 3dp
• Ordering Decimals Worksheets
• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets
• Balancing Math Equations
• Roman Numerals worksheets

Ordering Large Numbers and Decimals to 3dp

The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.

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

• Ordering Large Numbers up to 100 million
• Ordering Decimals to 3dp

Rounding Decimals

• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Year 6 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.
• Counting By Decimals

Year 6 Mental Maths Zone

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!

• Year 6 Mental Maths Tests

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Year 6 Addition Worksheets

• add decimals including tenths and hundredths mentally;
• add a columns of multi-digit numbers, including decimals.
• Decimal Addition Fact Worksheets
• 5th Grade Addition Worksheets BIG Numbers
• Decimal Column Addition Worksheets
• Money Worksheets (randomly generated)

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

• subtract decimals including tenths and hundredths mentally;
• subtract multi-digit numbers, including decimals using column subtraction.
• Subtracting Decimals Worksheets (mental)
• Subtraction Worksheets up to Billions (columns)
• Column Subtraction with Decimals

Year 6 Multiplication Worksheets

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
• multiply different money amounts by a whole number.
• Multiplying Decimals by 10 and 100
• Multiplication Fact Sheet Decimals
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Free Multiplication Worksheets (randomly generated)
• Multiply and Divide by 10 100 (decimals)
• Multiplication & Division Worksheets (randomly generated)
• Multiplication Word Problems

Division Worksheets 5th Grade

Using these Year 6 maths worksheets will help your child learn to:

• divide any whole number up to 10000 by a two digit number;
• express any division with a remainder in the form of a mixed number (a number with a fraction part).
• Long Division Worksheets (whole numbers)
• Long Division of Decimal Numbers
• Decimal Division Facts
• Division Facts Worksheets (randomly generated)

Year 6 Maths Problems

• 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.

These sheets involve solving one or two more challenging longer problems.

• Year 6 Math Problems (5th Grade)

These sheets involve solving many 'real-life' problems involving data.

• Year 6 Math Word Problems (5th Grade)

These sheets involve solving a range of ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

• compare and order fractions;
• 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.
• Comparing Fractions Worksheet page
• Adding Fractions Worksheets
• Adding Improper Fractions
• Subtracting Fractions Worksheets
• Adding Subtracting Fractions Worksheets
• Improper Fraction Worksheets
• Converting Decimals to Fractions Worksheets
• Fractions Decimals Percents Worksheets
• Multiplying Fractions Worksheets
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• Simplifying Fractions Worksheets
• Free Printable Fraction Riddles (harder)

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
• Percentage Word Problems

These Year 6 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

Year 6 Geometry Worksheets

• know how to find missing angles in a range of situations;
• learn the number of degrees in a right angle, straight line, around a point and in a triangle;
• know how to calculate the area of a triangle;
• know how to calculate the area of a range of quadrilaterals.
• learn the formulas to calculate the area of triangles and some quadrilaterals;
• write and plot coordinates in all 4 quadrants.
• (5th Grade) Geometry - Angles
• Area of Quadrilaterals
• 5th Grade Volume Worksheets
• Coordinate Worksheets (1st Quadrant)
• Coordinate Plane Worksheets (All 4 Quadrants)
• Parts of a Circle Worksheets

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

• learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
• learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
• learn how to estimate a measurement of length, weight or liquid;
• convert temperatures in Celsius and Fahrenheit.
• (5th Grade) Measurement Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• Mean Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

• Year 6 Math Games (5th Grade)

Year 6 Maths Puzzles

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.

• Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

Our Year 6 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 6 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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Years 5 & 6: Measures

This list consists of activities, games and videos designed to support the new curriculum programme of study in Years 5 and 6. Containing tips on using the resources and suggestions for further use it covers:

Year 5 : converting between different units of metric measure, understanding and using equivalences between metric and imperial units, measuring and calculating perimeter and calculating and comparing the area of rectangles.

Year 6 : solving problems involving measure,converting between standard units of measure,converting between miles and kilometres, use formulae for area and volume when possible, calculating areas of parallelograms and triangles and calculate, estimate and compare the volume of cubes and cuboids. using standard units, extending to other units.

Visit the primary mathematics webpage to access all lists.

Mensuration

Quality Assured Category: Mathematics Publisher: Centre for Innovation in Mathematics Teaching

Developed for primary and non-specialist maths teachers, these two booklets are aimed to provide subject knowledge, highlight misconceptions and offer practical tasks on measurement. All highlighted pages refer to booklet A.

Making 2-D nets into a 3-D shapes in the practical tasks on pages 19-26  will help children see that 3-D shapes have volume. Cubes and cuboids of different size could be constructed and then the volumes calculated and compared.

Pages 51 -59 offer examples of calculating the volume of cuboids and examples for use in class. The volume of other shapes is not required at primary level but may be of interest to teachers wishing to extend gifted children.

Pages 27-32 offer example questions on conversion between  metric and imperial measures, including worded problems.

Data, Graphs, Charts, Measures and Money

Quality Assured Category: Mathematics Publisher: Department for Education

Converting measures is a topic that many children find difficult and there is usually a wide range of abilities in every class. These resources may be used to demonstrate and practise converting a variety of metric measures of mass, capacity and length.

The Measures counting stick and Converting measures show the conversions between metric units of capacity and mass, the starting number and steps to take along the stick can be selected. It also shows a conversion graph between miles and kilometres.

Converting units of measure shows the conversions between a variety of metric measures of mass, capacity and length. The units are chosen and then an amount is input, the conversion can then be revealed. Included are two problems in context, the second using imperial measures of length. Teacher guidance is included.

Area and Perimeter Resource Bank

Quality Assured Category: Mathematics Publisher: Resources for Learning Development Unit (RLDU)

This treasure chest of resources contains 19 activities, which investigate area and perimeter. Page 6 asks children to find the area of various rectangles and then come up with the formula to calculate it. Children in Year 6 are asked to recognise when it is possible to use formulae to find the area of shapes so page 16, which investigates how to find the area of circles should give then something to think about. 

Go Further with Investigations

Quality Assured Category: Mathematics Publisher: Collins Educational

A collection of 40 investigations designed for use with the whole class or smaller groups. It is aimed at upper KS2 but some activities may be adapted for use with more able children in lower KS2. It covers different curriculum areas of mathematics.

Double Measures on sheet 22(page 53 on the pdf) investigates shapes with a constant area and different perimeter and shapes with the same perimeter and different areas. It also provides further questions for children to explore.

Dotty Squares on sheet 27(page 63 ) investigates the different sized squares that may be drawn on dotty paper and finding the area of each. It could also be carried out using triangles or rectangles.

Perimeter Dots on sheet 35(page 73) Exploration of different triangles measured in terms of 'perimeter' dots and 'inside' dots.  It looks at different types of triangle: equilateral, isosceles, acute-angled, obtuse-angled and right-angled.

Location, Location, Location (Key Stage Two)

Quality Assured Category: Science Publisher: BLOODHOUND SSC

When considering speed, what better place to start then with the fastest car on Earth! The first part of this lesson uses the BLOODHOUND SSC land speed attempt as a context for teaching about speed. Starting with speeds of familiar things, like a child walking or running then looking at other moving objects is a nice way of introducing children to the units of speed. Through the lesson children develop their understanding of speed by comparing the speeds of different objects and ordering them.

Volume and Capacity: an Activity Pack

Quality Assured Category: Mathematics Publisher: BEAM Education

21 cards containing  practical activities  for children to explore volume and capacity. These tasks allow children to develop their mathematical skill by actively estimating, measuring and comparing capacity and volume. They really get children thinking about measure.

Activities include: • free play with a variety of containers in contrasting shapes and sizes • comparing the capacities of containers by pouring the contents of one into another • measuring and comparing the capacities of containers by filling them with any smaller non-standard containers • measuring and comparing the capacities of cuboid boxes by filling them with small cubes • estimating and finding the capacities of all sorts of containers • using displacement of water as a means of measuring volume

Failure Analysis of Automotive Drive System: A Six Sigma DMADV Approach

• Tools and Techniques
• Published: 24 August 2024

Cite this article

• Shivagond Teli 1 ,
• Vinod Surange   ORCID: orcid.org/0000-0002-3388-9489 2 &
• Lokpriya Gaikwad 3  

This study outlines the application of the Six Sigma methodology to rectify oil seal leaks in an automobile company's hollow drive shafts. Persistent issues with oil seepage through the shaft's oil seal led to clutch malfunctions, power failures, and subsequent breakdowns, resulting in high warranty costs, which negatively impacted the status of a firm in the market and the level of fulfillment experienced by its clients. Projects are crucial for translating an organization's strategic goals into achievable outcomes, serving as the cornerstone of success. We implemented a quality-driven effort using Six Sigma and the Theory of Inventive Problem Solving (TRIZ) to foster a culture of continuous improvement. Utilizing the procedures-oriented DMADV (Define, Measure, Analyze, Design, and Verify) technique, the oil seal leakage issue was addressed and resolved successfully from the gearbox. The Pugh matrix was used to choose a new design from various alternatives, a KANO model to evaluate customer demands, and a cause-and-effect diagram to analyze possible failure situations. The overall aim was to determine the failure situations that were most likely to occur. Through its deployment, we intended to improve both the product's dependability and the production process's efficiency. Following the design improvements, the defects observed in the assemblies dropped to 58, with no occurrences of oil seal leakage. It is plausible to conclude that these techniques can significantly enhance product quality. The study demonstrates the efficacy of Six Sigma methodologies in tackling intricate situations.

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S. Thawani, Six Sigma—strategy for organizational excellence. Total Qual. Manag. Bus. Excell. 15 (5–6), 655–664 (2004). https://doi.org/10.1080/14783360410001680143

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Bharati Vidyapeeth College of Engineering, Navi Mumbai, India

Shivagond Teli

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Teli, S., Surange, V. & Gaikwad, L. Failure Analysis of Automotive Drive System: A Six Sigma DMADV Approach. J Fail. Anal. and Preven. (2024). https://doi.org/10.1007/s11668-024-02003-8

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Received : 21 March 2024

Revised : 06 July 2024

Accepted : 21 July 2024

Published : 24 August 2024

DOI : https://doi.org/10.1007/s11668-024-02003-8

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