place value problem solving year 5

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• Place value & rounding

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Place Value & Rounding for Grade 5

Place value worksheets.

Our grade 5 place value worksheets provide students practice in composing and decomposing whole and decimal numbers, as well as rounding to various digits.

Sample Grade 5 Place Value Worksheet

More place value & rounding worksheets

Explore all of our place value worksheets , from base ten blocks to 6 digit numbers in expanded form, and our rounding worksheets , ranging from rounding to the nearest 10 to rounding in the millions.

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Year 5/6 place value puzzles (reasoning/problem solving)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

13 August 2019

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Year 5 – Place Value

Welcome to Year 5 Place Value at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support place value lessons in Year 5 and at home.  

If there’s a resource you’d like to see here, just visit our ‘Request a Resource’ page and Primary Maths Hub will create the resource and add it to the site.

Do Now Tasks / Starters

Place Value to 100,000 Do Now Tasks

Place Value to 1,000,000 Do Now Tasks 

Differentiated question sets.

Numbers to 1,000,000 Question Set

Compare Numbers to 1,000,000 Question Set

Read and Write Roman Numerals to 1,000 Question Set

Number Lines to 1,000,000 Question Set

Read and Write Numbers to 1,000,000 Question Set

Round to 10 100 1000 Question Set

Round within 1,000,000 Question Set

Count Forwards and Back in Steps of Powers of 10

Read and write numbers.

Write Numbers to 100,000 in Words

How to Write Numbers to 1,000,000

Write Numbers to 100,000 in Digits

Write Numbers to 1,000,000 in Digits

Write Numbers to 1,000,000 in Words

Faded Scaffolding Strips –  Place Value to 100,000 Writing Numbers in Words

Faded Scaffolding Strips –  Place Value to 100,000 Writing Numbers in Digits

Faded Scaffolding Strips –  Place Value to 1,000,000 Writing Numbers in Words

Faded Scaffolding Strips –  Place Value to 1,000,000 Writing Numbers in Digits

Rounding numbers.

Strips – Round Number  to 1,000,000

Faded Scaffolding Strips –  Round Number  to 1,000,000

Faded Scaffolding Strips –  Round Number to 100,000

Round Numbers  to 1,000,000

Round Numbers  to 1,000,000 (2)

Round Numbers to 100,000

Identify the value of digits.

Faded Scaffolding Strips- Identify Value of Digits in Numbers to 1,000,000

Faded Scaffolding Strips- Identify Value of Digits in Numbers to 100,000

Compare and order numbers.

Compare Numbers to 100,000

Compare Numbers  to 1,000,000

Strips – Compare Numbers to 100,000

Order Numbers to 1,000,000

Order Numbers to 100,000

Strips – Compare Numbers to 1,000,000

Faded Scaffolding Strips –  Order Numbers to 100,000

Faded Scaffodling Strips –  Order Numbers to 1,000,000

Faded Scaffolding Strips – Compare Numbers to 100,000

Faded Scaffolding Strips –  Increasing Sequences Next Two Values

Faded Scaffolding Strips –  Decreasing Sequences Missing Values

Faded Scaffolding Strips –  Decreasing Sequences Next Two Values

Faded Scaffolding Strips – Increasing Sequences Missing Values

Positive and Negative  Number Sequences

Decimal Sequences

Faded Scaffolding Strips- Increasing and Decreasing Sequences Missing Values 

Faded Scaffolding Strips- Increasing and Decreasing Sequences Next Two Values 

Representation and number lines.

Number lines to 1,000,000

Represent Numbers to 100,000 on a Number Line

Strips – Identify the Value of Digits in Numbers to 100,000

Represent Numbers to 1,000,000 on a Number Line

Strips – Identify the Value of Digits in Numbers to 1,000,000

Expanded form and underlined digits.

Faded Scaffolding Strips –  Place Value to 100,000 Expanded Form

Faded Scaffolding Strips –  Place Value to 100,000 Expanded Form to Digits

Faded Scaffolding Strips –  Place Value to 100,000  Missing Expanded Form

Numbers to 1,000,000 Expanded Form

Numbers to 1,000,000 Expanded Form to Digits

Place Value of Numbers to 1,000,000- Missing Expanded Form

Place Value of Numbers to 100,000- Expanded Form

Place Value of Numbers to 100,000- Missing Expanded Form

Place Value of Numbers to 100,000- Expanded Form to Digits

Faded Scaffolding Strips –  Place Value to 1,000,000 Expanded Form to Digits

Faded Scaffolding Strips –  Place Value to 1,000,000 Missing Expanded Form

Numbers to 1,000,000 Value of the Underlined Digit

Faded Scaffolding Strips – Place Value to 1,000,000 Missing Expanded Form

Faded Scaffolding Strips –  Place Value to 1,000,000 Expanded Form

Roman numerals.

Roman Numerals to 1000 Guide

Write Roman Numerals to 1000 

Roman Numerals  Write Roman Numerals to 1000

Roman Numerals –  Read Roman Numerals to 1000

Faded Scaffolding Strips –  Read Roman Numerals to 1000

Roman Numerals – Addition Pyramids

Roman Numerals Reasoning

Roman Numerals Puzzle

Read and Write Roman Numerals Challenge

Roman Numerals –  Challenges

Problem solving.

Problem Solving- Comparing and Ordering 

Problem Solving- Rounding 

Partitioning Reasoning

Rounding Reasoning

Comparing Numbers to 1,000,000 Reasoning

Word problems and challenges.

Numbers to 1,000,000 Challenge – Riddle

Comparing and Ordering Numbers to 1,000,000- Challenges

Comparing and Ordering Numbers to 100,000- Challenges

Resources to support place value.

Arrow Cards

Place Value Grid

Equality and inequality statements.

Equality and Inequality Statement Matching

Steps to success.

Read and Write Numbers to 1,000,000 – Steps to Success

Compare Numbers to 100,000 – Steps to Success

Round to the Nearest 10, 100, 1000, 10 000 and 100 000 – Steps to Success

Order Numbers to 100,000 – Steps to Success

Determine the Value of Digits in Numbers to 1,000,000 – Steps to Success

Determine the Value of Digits in Numbers to 100,000 – Steps to Success

Write Roman Numerals to 1,000- Steps to Success

Read Roman Numerals to 1,000- Steps to Success

Read and Write Numbers to 100,000 – Steps to Success

Hinge questions.

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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

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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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