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Year 5 Maths Worksheets UK Hub Page

Welcome to our Year 5 Maths Worksheets area.

Here you will find a wide range of free printable Maths Worksheets for pupils in Year 5, and Math activities for your child to enjoy.

Take a look at our decimal place value sheets, our mental math sheets, or maybe some of our equivalent fraction worksheets. Perhaps you would prefer our statistics worksheets, or how to measure angles?

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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 5 Maths Learning

Here are some of the key learning objectives for the end of Year 5:

  • know and use Place value up to 1 million
  • Compare and order numbers up to 1 million
  • Counting on and back in steps of powers of 10 from any number up to 1 million
  • Round numbers to the nearest 10, 100, 1000, 10000 or 100000.
  • Count forwards and backwards through zero with positive and negative numbers.
  • Read Roman numerals to 1000
  • add and subtract with more than 4 digits in columns
  • add or subtract larger numbers mentally
  • solve multi-step problems using addition and subtraction
  • Multiply and divide whole numbers and decimals up to 2dp by 10, 100 or 1000
  • identify multiples and factors including common factors
  • multiply up to 4-digit numbers by a 1-digit number
  • multiply up to 3-digits numbers by 2-digits
  • divide numbers up to 4-digits by a 1-digit number
  • recognise and use squared and cubed numbers
  • solve problems using multiplication and division
  • know what a prime number is and recall prime numbers up to 20
  • compare and order fractions whose denominators are multiples of the same number
  • identify, name and write equivalent fractions
  • convert between mixed numbers and improper fractions
  • add and subtract fractions with the same denominator or whose denominators are multiples of the same number
  • multiply proper fractions and mixed numbers by whole numbers
  • read and write decimal numbers as fractions.
  • Multiply and divide whole numbers and decimals by 10, 100 or 1000
  • read, write, order and compare numbers up to 2dp
  • round decimals with up to 2dp to the nearest whole
  • solve problems with numbers up to 2dp
  • understand and use the percent symbol
  • convert percentages to fractions with a denominator of 100
  • know fraction-percentage equivalence for halves, quarters, fifths and tenths
  • solve problems using simple percentages
  • measure, compare and calculate using different measures
  • find the area and perimeter of a range of rectilinear shapes
  • convert between different units of time
  • convert between different units of metric measure
  • convert between simple imperial and metric units
  • solve more complex money and measure problems
  • draw and measure angles in degrees
  • know the sum of angles at a point (360°rees;) and angles at a point along a line (180°rees;)
  • identify 3D shapes from 2D representations
  • Identify, describe and represent the position of a shape following a reflection or translation
  • find the area and perimeter of composite rectilinear shapes
  • know properties of regular and irregular shapes

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 5 is generally equivalent to 4th Grade in the US.

On this page you will find link to our range of math worksheets for Year 5.

Quicklinks to Year 5 ...

  • Place Value Zone
  • Mental Math Zone

Word Problems Zone

  • Fractions & Percentages Zone
  • Measurement Zone

Geometry Zone

Data analysis zone.

  • Fun Zone: games and puzzles

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 5 place value worksheets.

Using these Year 5 maths worksheets will help your child to:

  • Understand decimals;
  • Use place value notation with tenths and hundredths;
  • Know how to read and write numbers to 10 million;
  • Understand place value to 10 million.
  • Decimal Place Value Worksheets
  • Year 5 Place Value up to 6 digits
  • Comparing and Ordering Whole Numbers up to 6 Digits
  • Ordering Decimals Worksheets
  • Roman Numerals worksheets

Year 5 Number Worksheets

Using these Year 5 Maths worksheets will help your child to:

  • learn to estimate and approximate;
  • order numbers, including negative numbers and decimals;
  • learn how to place decimal numbers on a number line;
  • understand and use multiples and factors, and know what a prime number is;
  • complete the missing number to balance a math equation.
  • Factors and Multiples Worksheet
  • Rounding Decimals to the nearest whole
  • Rounding to the nearest tenth
  • Balancing Math Equations

Year 5 Counting Worksheets

Using these sheets will support you child to:

  • count on and back by multiples of 10;
  • fill in the missing numbers in sequences;
  • count on and back into negative numbers.
  • Counting on and back by tens

Year 5 Mental Maths Zone

Here you will find a range of printable Year 5 mental maths sheets for your child to enjoy.

Each quiz tests the children on a range of maths 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 test or math quiz!

  • Year 5 Mental Maths Worksheet

Top of Page

Year 5 Addition Worksheets

  • add multiple numbers in columns up to 5 digits;
  • add numbers in columns, including money amounts with up to two decimal places.
  • Decimal Addition Worksheets (mental)
  • Free Addition Worksheets (randomly generated)
  • Addition Worksheets with Multi-Addends
  • Money Addition Worksheets (£ )
  • Money Worksheets (randomly generated)

Year 5 Subtraction Worksheets

  • learn to subtract numbers with up to 5 digits;
  • learn to subtract numbers involving money with decimals with up to two decimal places.
  • Free Subtraction Worksheets (randomly generated)
  • 5 Digit Subtraction Worksheets
  • Money Subtraction Worksheets UK (£ )
  • Subtracting Decimals Worksheets (mental)

Year 5 Multiplication Worksheets

Using these 4th grade math worksheets will help your child to:

  • use their multiplication table knowledge to multiply by 10s and 100s mentally
  • multiply any whole number by a single digit;
  • multiply a two or three digit number by a two digit number.
  • Times Table Worksheets Circles 1 to 12 tables
  • Times Tables Worksheets (randomly generated)
  • Multiplying Decimals by 10 and 100
  • Multiply and Divide by 10 100 (decimals)
  • Multiplying by Multiples of 10 and 100
  • Single Digit Multiplication Graded Sheets
  • Double Digit Multiplication Worksheets (Graded)
  • Single Digit Multiplication Worksheets Generator
  • Multi-Digit Multiplication Generator
  • Multiplication Word Problems

Year 5 Division Worksheets

Using these Year 5 maths worksheets will help your child learn to:

  • apply their division facts up to 10x10 to answer related questions involving 10s and 100s.
  • divide any whole number by a single digit.
  • Divding by Multiples of 10 and 100 Worksheets
  • Year 5 (4th Grade) Long Division Worksheets

These sheets involve solving a range of division problems.

  • Division Worksheets (Grade 4) Word Problems
  • Division Facts Worksheets (randomly generated)

Year 5 Math Problems

  • apply their addition, subtraction and problem solving skills;
  • apply their knowledge of rounding and place value;
  • solve a range of 'real life' problems;
  • attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

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

  • 4th Grade Math Problems

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

  • 4th Grade Math Word Problems

These sheets involve solving a range of multiplciation problems.

  • Division Worksheets Grade 4 Word Problems

Fractions & Percentage Zone

Quicklinks to ...

  • Year 5 Fractions Worksheets

Year 5 Percentage Worksheets

Year 5 fraction worksheets.

  • position different fractions on a number line;
  • understand equivalent fractions;
  • understand what a mixed number is;
  • compare two or more fractions;
  • begin to convert fractions to decimals and decimals to fractions.
  • Equivalent Fractions Worksheets
  • Comparing Fractions Worksheet page
  • Improper Fraction Worksheets
  • Fractions of Numbers
  • Convert Fractions to Decimal Sheets
  • Convert Decimal to Fraction Sheets
  • 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.

  • Fractions Decimals Percents Worksheets
  • Percentage Word Problems

Year 5 Geometry Worksheets

Using these sheets will help you to:

  • classify angles - acute, obtuse, right, reflex, straight;
  • classify triangles - acute, obtuse, right;
  • measure angles using a protractor;
  • know that angles in a triangle add up to 180°
  • know the properties of regular and irregular shapes
  • plot and write coordinates in the first quadrant.
  • 4th Grade Geometry Worksheets
  • Symmetry Activities
  • Coordinate Worksheets (1st Quadrant)

Measurement Zone, including Time & Money

Year 5 measurement worksheets.

Using these sheets will help your child understand how to:

  • read scales in both the standard and metric systems;
  • read a scale going up in a range of fractions: halves, quarters and eighths;
  • read a scale going up in tenths, fives, tens, fifties, and hundreds.
  • 4th Grade Measurement Worksheets
  • Converting Customary Units Worksheets
  • Metric Conversion Worksheets

Area and Perimeter Worksheets

  • understand area and perimeter;
  • learn how to find the area and perimeter of rectangles and rectilinear shapes.
  • Area Worksheets
  • Perimeter Worksheets

Year 5 Time Worksheets (4th Grade)

Using the sheets in this section will help your child to:

  • tell the time to the nearest minute;
  • become familiar with both digital and analogue times;
  • add and subtract time intervals.
  • Telling Time Worksheets Grade 4 (1 minute intervals)
  • 24 Hour Clock Conversion Worksheets

On this webpage there is a selection of printable 24 hour (military time) conversion worksheets which will help you learn to convert from 24 hour clock to standard 12 hour time, and from standard time to 24 hour time.

Time Interval Worksheets

These sheets will help you learn to add and subtract hours and minutes from times as well as working out a range of time intervals.

  • Add and Subtract Time Worksheets
  • Elapsed Time Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

  • Time Word Problems Worksheets - Riddles (harder)

Using these 4th grade math worksheets will help you to:

  • draw and read bar graphs with increasingly complex numbers;
  • read, interpret and draw line graphs;
  • Year 5 Bar Graph Worksheets (4th grade)
  • Year 5 Line Graph Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 5 maths games.

  • Year 5 Math Games (4th Grade)

Year 5 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.

  • Year 5 Maths Puzzles (4th Grade)

Math Salamanders Year 5 Maths Games Ebook

Our Year 5 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 5 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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Reasoning/Problem Solving Maths Worksheets for Year 5 (age 9-10)

Real life problem solving.

A collection of problem solving activities based on real life situations.

Preview of worksheet  Solve single step 'real life' problems

Some of the questions are quite long, but they can be answered with a single step operation.

Preview of worksheet Multi step problems using bar models

Using bar models to help understand what to do to solve multi-step problems.

Preview of worksheet  Solve multi step word problems

Much trickier questions as they all need more than one step to reach the right answer.

Preview of worksheet Multi-step problems: shopping

Multi-step problems with shopping.

Preview of worksheet Multi-step problems: hobbies

Tricky multi-step problems on thew theme of hobbies.

Preview of worksheet Multi-step problems: using cards

Multi-step problems: using cards.

Preview of worksheet Multi-step problems: using place value charts

Multi-step problems: using place value charts.

Preview of worksheet Vending machine

Buying snacks and drinks from a vending machine.

Preview of worksheet Work out the price of the plants

Straightforward addition of money which can be done mentally, maybe using jottings to help.

Preview of worksheet Cost of houseplants

Work out the cost of the plants from the information given.

Preview of worksheet Buying three houseplants

Addition of money to really stretch the brain!

Preview of worksheet Meal deal

Choosing sets of meals to save money with the meal deal.

Preview of worksheet Days out (1)

Solving problems involving '3 for 2' voucher offer.

Preview of worksheet Days out (2)

Solving money problems with 3 for 2 offers and percentages.

Preview of worksheet Days out (3)

More percentage problems.

Preview of worksheet  Solve problems involving money

Money, money, money! Lots of money questions which will need a lot of working out!

Preview of worksheet Solving multi step problems

Tricky word problems needing more than one step to solve.

Preview of worksheet  Solve problems involving measurement

Questions all on the theme of measurement, including length, capacity and weight.

Preview of worksheet  Solve problems involving time

Hours, minutes seconds are all found in these questions on time.

Preview of worksheet 5-digit numbers: problem solving

Find the number from the clues given.

Preview of worksheet Problem solving: inverse operations

Solve multi-step problems and check by carrying out inverse operations.

Preview of worksheet Digit cards: largest and smallest numbers

Find the largest and smallest numbers and the difference between them.

Preview of worksheet  Choose the correct strategy

Not so much the correct answer needed; more choosing the method and an explanation of how to solve the problem.

Fractions, decimals and divisibility

Problem solving involving fractions, decimals and tests of divisibility.

Preview of worksheet Bar modelling: facts about decimals

Finding facts about decimal fractions, including bar modelling.

Preview of worksheet Bar modelling facts about decimal (2)

Finding facts about decimal fractions, including using bar modelling to help.

Preview of worksheet Order decimals

Order decimals.

Preview of worksheet Find half way between two decimals

Find half way between two decimals.

Preview of worksheet Word problems with decimals

Word problems with decimals.

Preview of worksheet Ordering fractions

Ordering fractions.

Preview of worksheet  Tests of divisibility

Some tests of divisibility are easy, such as divisible by 2, 5 or 10. Others, such as divisible by 6 or 8 are much harder.

Challenges and investigations

Further challenges, investigations and games requiring sound mathematical thinking and working in a systematic way.

Preview of worksheet  More on odd and even numbers

More on odd and even numbers, plus a little bit on multiples.

Preview of worksheet 12 to 15 square

Place the digits in the rows and columns to make the total shown in the middle.

Preview of worksheet  More problem solving

Some great ideas for children to use as starting points to investigate further.

Preview of worksheet  Make and investigate general statements

Find examples to back up general statements about numbers, shape etc.

Preview of worksheet  Use binary trees to solve problems

Binary trees are often used in science, but here we use them to sort numbers.

Preview of worksheet Challenges and Investigations in Year 5

A look at some of the maths concepts involved with investigations in year 5.

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year 5 subtraction reasoning and problem solving

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Year 5 Round to the Nearest 10,000 Reasoning and Problem Solving

Year 5 Round to the Nearest 10,000 Reasoning and Problem Solving

When children are ready to apply their reasoning and problem-solving skills to rounding numbers, download this Year 5 Round to the Nearest 10,000 worksheet. It includes a variety of engaging questions to really get pupils thinking about rounding 5 and 6-digit numbers to the nearest 10,000. There's an answer page too to encourage peer and self-marking opportunities. Give it a whirl!

year 5 subtraction reasoning and problem solving

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National Curriculum Objectives

Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000

​​​This resource is available to download with a Premium subscription.

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year 5 subtraction reasoning and problem solving

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Addition and Subtraction - Mental strategies for addition - Year 5

Addition and Subtraction - Mental strategies for addition - Year 5

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Mastery Maths Shop

Last updated

19 August 2019

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year 5 subtraction reasoning and problem solving

This is a whole lesson based on the Year 5 Addition and Subtraction objective of “Mental strategies”. This resource includes the teacher input ( learning journey), independent worksheet and a depth activity to deepen the children’s understanding of the concept being learned.

The questions have been inspired and adapted from the White Rose Small Steps Guidance and Teaching for Mastery documents. This document is useful for teachers who have adapted Maths Mastery and need guidance in the approach or those who are looking for variation in fluency, reasoning and problem solving or simply those who don’t want to plan it themselves but want high quality resources and quality first teaching. =)

All of the documents that are uploaded as an Activinspire file are interactive and all of the concrete/pictorial manipulative can be used, moved and manipulated.

This document can be downloaded on Activinspire and it is also available as a PDF for those who do not have Activinspire.

Please note - these resources are not compatible with Smart Notebook and the PDF file is not interactive.

Thank you for taking the time to review my resources. =) I hope this helps you with your teaching and if it does please could you be kind enough to leave some positive feedback. =)

Kind regards,

@MasteryMaths01

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IMAGES

  1. White Rose Maths

    year 5 subtraction reasoning and problem solving

  2. Subtract from Mixed Numbers

    year 5 subtraction reasoning and problem solving

  3. Addition and Subtraction Consolidation Year 5 Block 2 WRM Reasoning and

    year 5 subtraction reasoning and problem solving

  4. Mastery in maths

    year 5 subtraction reasoning and problem solving

  5. White Rose Maths

    year 5 subtraction reasoning and problem solving

  6. Multi-step addition and subtraction problems: Reasoning and Problem

    year 5 subtraction reasoning and problem solving

VIDEO

  1. Subtraction Within 5 Fact Fluency: Back to School Math Brain Break

  2. Subtracting within 5

  3. Subtraction of 5-digit number

  4. Addition and Subtraction

  5. MATHEMATICS DLP YEAR 5

  6. Year 5 Mathematics-Fraction subtracting mixed operation

COMMENTS

  1. PDF Year 5 Subtract More than 4 Digits Reasoning and Problem Solving

    Ava has used column method to answer a subtraction and has written it out below. 500 hundreds, 8 tens and 0 ones subtract 2 ten thousands, 9 thousands and 826 ones equals 200 hundreds, 26 tens and 3 ones. GD. Reasoning and Problem Solving - Subtract More than 4 Digits - Year 5 Greater Depth.

  2. PDF Subtract whole numbers with more than 4-digits (column method)

    Week 4 to 5 - Number: Addition and Subtraction Reasoning and Problem Solving ... Year 5 | Autumn Term | Teaching Guidance Week 4 to 5 - Number: Addition and Subtraction A plane is flying at 29,456 feet. During the flight the Building on Year 4, children use their knowledge of subtracting using the formal column method to subtract

  3. PDF Year 5 Subtract 2 Mixed Numbers Reasoning and Problem Solving

    Reasoning and Problem Solving Subtract 2 Mixed Numbers Reasoning and Problem Solving Subtract 2 Mixed Numbers Developing 1a. A is the odd one out because it equals. B and C equal . 2a. 2, 6, 1 3a. Harry has not found the common denominator for the fractions. The correct answer is . Expected 4a. C is the odd one out because it equals

  4. Year 5 Maths Worksheets

    Using these Year 5 maths worksheets will help your child learn to: apply their division facts up to 10x10 to answer related questions involving 10s and 100s. divide any whole number by a single digit. Divding by Multiples of 10 and 100 Worksheets. Year 5 (4th Grade) Long Division Worksheets.

  5. Mental Addition and Subtraction Year 5 Mastery PowerPoint

    And this Mental Addition and Subtraction Year 5 PowerPoint is here to help with that! This presentation provides a range of maths mastery activities based around the year 5 objective "add and subtract mentally". ... Fluency, Reasoning and Problem Solving Year 5 Addition and Subtraction. Parents Ages 5 - 11 Everything You Need for Children Aged ...

  6. Addition & Subtraction Year 5 Multi-step Word Problems

    A multi-step word problem is a mathematical puzzle that can only be solved using multiple operations. Teachers use them to encourage pupils to practise different skills (addition, division, subtraction and multiplication) simultaneously. This helps cement learning and prepares children for more complex areas of maths.

  7. White Rose Maths

    White Rose Maths - Year 5 - Addition and Subtraction - Varied Fluency and Problem Solving Practice. Two sets of varied fluency and a set of problem solving and reasoning worksheets to use alongside the White Rose Maths scheme. Both sets of questions have been differentiated 3 ways, each with an individual sheet of questions for that level.

  8. Year 5 Addition and Subtraction Primary Resources

    Addition and Subtraction Primary Resources. Year 5 Subtraction and Addition Multi-Step Problems Maths Challenge Cards. 4.5 (19 reviews) Year 5 Diving into Mastery: Step 2 Add Whole Numbers with More than Four Digits Teaching Pack. 4.8 (4 reviews) Year 5 Diving into Mastery: Step 3 Subtract Whole Numbers with More than Four Digits Teaching Pack.

  9. Year 5

    Age range: 7-11. Resource type: Unit of work. File previews. pdf, 353.96 KB. docx, 149.07 KB. I have created 17 worksheets for Year 5 Addition and Subtraction. All the worksheets fit with the small steps and include varied fluency and reasoning + problem solving questions. I have produced them all in Sassoon Primary Fonts.

  10. Addition and Subtraction

    This is a whole lesson based on the Year 5 Addition and Subtraction objective of "Mental strategies for subtraction". This resource includes the teacher input ( learning journey), independent worksheet and a depth activity to deepen the children's understanding of the concept being learned. ... reasoning and problem solving or simply ...

  11. Reasoning/Problem Solving Maths Worksheets for Year 5 (age 9-10)

    Reasoning/Problem Solving Maths Worksheets for Year 5 (age 9-10) Expectations are high for the end of Year 5! All four number operations of addition, subtraction, multiplication and division are used to solve one-step and two-step problems involving money, measurement and time. Further work is carried out on exploring patterns and investigating ...

  12. PDF Year 5: Week 1, Day 1 Mental addition and subtraction strategies

    Year 5: Week 1, Day 1Mental add. ion and subtraction strategiesEach day covers one mat. s topic. It should take you about 1 hour or jus. a little more.Start by reading thro. gh the Learning Reminders.They come from o. r PowerPoint slides.Tackle the questions on the Practice Sheet. There might be a c.

  13. PDF Year 5 Subtracting Same Decimal Places Reasoning and Problem Solving

    Reasoning and Problem Solving - Subtract Same Decimal Places - Year 5 Expected. 7a.Gina drives 5.75km from her house to pick up her friend Freddie. She then drives towards the seaside, which is 17.62km from her house, but stops 1.37km before she get there, to park her car.

  14. Year 5 Calculations Revision Mixed Reasoning Problems Addition ...

    This resource is a set of 2 differentiated Mixed Calculations Revision sheets, including written and mental methods of addition, subtraction, multiplication and division. They are split into Fluency (Practise), Problem Solving and Reasoning, to show clear progression through the lesson.

  15. Addition & Subtraction Year 5 Multi-step Word Problems

    A multi-step word problem is a mathematical puzzle that can only be solved using multiple operations. Teachers use them to encourage pupils to practise different skills (addition, division, subtraction and multiplication) simultaneously. This helps cement learning and prepares children for more complex areas of maths.

  16. PDF Year 5 Add More Than 4-Digits Reasoning and Problem Solving

    Reasoning and Problem Solving - Add More Than 4-Digits - Year 5 Expected. 7a.Sandy and Gabby are comparing their income. Sandy £75,308 £3,297 Gabby £68,488 £9,869. In total, I earnt £1,298 more than you. Sandy. Although my bonus was high, you still earnt £248 more than me altogether.

  17. PDF Reasoning and Problem Solving Step 8: Subtracting

    Reasoning and Problem Solving - Subtracting - Different Decimal Places - Year 5 Developing. 4a. 4b. 5a. 9.652L of water in a cooler. Jess drank 4.72L at the weekend. 5b. 8.657g of salt in a shaker. Dan added 1.75g of it to his pasta sauce. his mistake. 6b.

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