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

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

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Sophie Bartlett

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 problem solving year 5

Place Value to 100,000 Do Now Tasks

place value problem solving year 5

Place Value to 1,000,000 Do Now Tasks 

place value problem solving year 5

Count Forwards and Back in Steps of Powers of 10

Read and write numbers.

place value problem solving year 5

Write Numbers to 100,000 in Words

place value problem solving year 5

How to Write Numbers to 1,000,000

place value problem solving year 5

Write Numbers to 100,000 in Digits

place value problem solving year 5

Write Numbers to 1,000,000 in Digits

place value problem solving year 5

Write Numbers to 1,000,000 in Words

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

Rounding numbers.

place value problem solving year 5

Strips – Round Number  to 1,000,000

place value problem solving year 5

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

place value problem solving year 5

Faded Scaffolding Strips –  Round Number to 100,000

place value problem solving year 5

Round Numbers  to 1,000,000

place value problem solving year 5

Round Numbers  to 1,000,000 (2)

place value problem solving year 5

Round Numbers to 100,000

Identify the value of digits.

place value problem solving year 5

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

place value problem solving year 5

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

Compare and order numbers.

place value problem solving year 5

Compare Numbers to 100,000

place value problem solving year 5

Compare Numbers  to 1,000,000

place value problem solving year 5

Strips – Compare Numbers to 100,000

place value problem solving year 5

Order Numbers to 1,000,000

place value problem solving year 5

Order Numbers to 100,000

place value problem solving year 5

Strips – Compare Numbers to 1,000,000

place value problem solving year 5

Faded Scaffolding Strips –  Order Numbers to 100,000

place value problem solving year 5

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

place value problem solving year 5

Faded Scaffolding Strips – Compare Numbers to 100,000

place value problem solving year 5

Faded Scaffolding Strips –  Increasing Sequences Next Two Values

place value problem solving year 5

Faded Scaffolding Strips –  Decreasing Sequences Missing Values

place value problem solving year 5

Faded Scaffolding Strips –  Decreasing Sequences Next Two Values

place value problem solving year 5

Faded Scaffolding Strips – Increasing Sequences Missing Values

place value problem solving year 5

Positive and Negative  Number Sequences

place value problem solving year 5

Decimal Sequences

place value problem solving year 5

Faded Scaffolding Strips- Increasing and Decreasing Sequences Missing Values 

place value problem solving year 5

Faded Scaffolding Strips- Increasing and Decreasing Sequences Next Two Values 

Representation and number lines.

place value problem solving year 5

Number lines to 1,000,000

place value problem solving year 5

Represent Numbers to 100,000 on a Number Line

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

Expanded form and underlined digits.

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

Numbers to 1,000,000 Expanded Form

place value problem solving year 5

Numbers to 1,000,000 Expanded Form to Digits

place value problem solving year 5

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

place value problem solving year 5

Place Value of Numbers to 100,000- Expanded Form

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

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

Roman numerals.

place value problem solving year 5

Roman Numerals to 1000 Guide

place value problem solving year 5

Write Roman Numerals to 1000 

place value problem solving year 5

Roman Numerals  Write Roman Numerals to 1000

place value problem solving year 5

Roman Numerals –  Read Roman Numerals to 1000

place value problem solving year 5

Faded Scaffolding Strips –  Read Roman Numerals to 1000

place value problem solving year 5

Roman Numerals – Addition Pyramids

Problem solving.

place value problem solving year 5

Problem Solving- Comparing and Ordering 

place value problem solving year 5

Problem Solving- Rounding 

place value problem solving year 5

Partitioning Reasoning

place value problem solving year 5

Rounding Reasoning

Word problems and challenges.

place value problem solving year 5

Numbers to 1,000,000 Challenge – Riddle

place value problem solving year 5

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

place value problem solving year 5

Comparing and Ordering Numbers to 100,000- Challenges

place value problem solving year 5

Read and Write Roman Numerals Challenge

place value problem solving year 5

Roman Numerals –  Challenges

Resources to support place value.

place value problem solving year 5

Arrow Cards

place value problem solving year 5

Place Value Grid

Equality and inequality statements.

place value problem solving year 5

Equality and Inequality Statement Matching

Steps to success.

place value problem solving year 5

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

place value problem solving year 5

Compare Numbers to 100,000 – Steps to Success

place value problem solving year 5

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

place value problem solving year 5

Order Numbers to 100,000 – Steps to Success

place value problem solving year 5

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

place value problem solving year 5

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

place value problem solving year 5

Write Roman Numerals to 1,000- Steps to Success

place value problem solving year 5

Read Roman Numerals to 1,000- Steps to Success

place value problem solving year 5

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

Hinge questions.

place value problem solving year 5

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Place Value Practice Questions

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Breadcrumbs

  • Place value & rounding

Place Value Workbook for Grades 5-6

Download & Print Only $3.50

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.

60,000 + 4,000 + 100 + 90 + 8 = ____

(5 digits)

(6 digits)

60,000 + _____ + 100 + 90 + 8 = 64,198

 

50 + 3 + 0.2 + 0.06 + 0.002 = _____
5,472 rounds to 5,470
25,472 rounds to 25,500
25,472 rounds to 25,000
   

325,472 rounds to 325,500

place value problem solving year 5

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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place value problem solving year 5

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place value problem solving year 5

Note that the children will use the vocabulary ones and not units when talking about place value.

Count in powers of 10 from any number up to 1,000,000

Your child will be expected to count forwards and backwards in powers of 10 from any number up to a million.

Count forwards in steps of 10 ²  (100) from 25,760: 25,860, 25,960, 26,060, and so on. Count backwards in steps of 10 ³  (1000) from 8151: 7151, 6151, 5151, and so on.

Interpret and use negative numbers

Your child will interpret negative numbers in real-world contexts. For example, they might learn about negative numbers using temperature or money.

Your child will also count forwards and backwards with positive and negative whole numbers, including counting through 0. For example:

Count backwards from 6 to -3: 6, 5, 4, 3, 2, 1, 0, -1, -2, -3.

Round numbers to the nearest 10, 100, 1000, 10,000, and 100,000

Your child will round numbers up to a million up or down to the nearest 10, 100, 1000, 10,000 and 100,000.

537,129 rounded to the nearest 1000: 537,000.   145,674 rounded to the nearest 10,000: 150,000.   832,541 rounded to the nearest 100,000: 800,000.

Solve increasingly complex number problems

Children will solve problems involving:

  • Negative numbers
  • Roman numerals.

Their knowledge of place value will be very useful for this. They will use physical objects, drawings, diagrams, and mathematical symbols to visualise problems.

Read Roman numerals to 1000 (M)

Your child will be able to read Roman numerals from 1 (I) to 1000 (M). They should be able to recognise years written in Roman numerals.

 1 = I  5 = V  10 = X  50 = L  100 = C  500 = D  1000 = M    1995 = MCMXCV  2019 = MMXIX

How to help at home

There are lots of ways you can help your child to understand number and place value . Here are just a few ideas:

1. Use place value charts

Place value charts can be a great way to help your child represent numbers and understand how the number system works. These charts will help your child to read, write, and compare numbers, as well as to understand how zero is used as a placeholder.

place value problem solving year 5

2. Use place value knowledge

When comparing numbers up to 1,000,000, your child should look at the digit with the largest value first. For example, if your child is comparing the numbers 232,765 and 233,276, they would first need to look at the digit with the largest value. In this example, as the hundred thousands and ten thousands digits are the same, we need to look at the thousands digit:

232,765 has 2 thousands, and 233,276 has 3 thousands, so 232,765 is less than 233,276.

Encourage your child to use their knowledge of number and place value to identify patterns when calculating. For example, if you know 4 + 3 = 7, then you also know 0.4 + 0.3 = 0.7. This is because each of the numbers in the calculation is now ten times smaller, so the total will be ten times smaller.

Give your child a simple addition calculation using one-digit numbers such as 5 + 4 = 9. How many related calculations can they record using this fact? For example:

15 + 4 = 19 5 + 14 = 19 50 + 40 = 90 500 + 400 = 900 0.5 + 0.4 = 0.9  +   =  … and so on.

Activity: Place value pandemonium

place value problem solving year 5

3. Explore negative numbers

Chatting about the numbers we see around us will help your child use numbers in all parts of their daily lives. Point out negative numbers in the real world, such as temperatures on the weather forecast. Vertical number lines, such as those seen on thermometers, can help your child grasp the concept of negative numbers.

Activity: Negative numbers

place value problem solving year 5

4. Make estimates

Being able to make accurate estimates is a valuable skill we use in everyday life. When calculating, encourage your child to use their rounding skills to estimate the answer before calculating precisely. This will help them to check if their answer seems reasonable.

If you are out shopping and you have picked up a few items, ask your child to estimate the total cost of the items. They will need to round the cost of each item to find the estimated total. For example, if you bought items costing £3.82, 82p, £4.10, and £2.45, your child could round each of these items to the nearest pound:

£3.82 to £4 82p to £1 £4.10 to £4 £2.45 to £2

Your child could then add the rounded amounts of £4, £1, £4, and £2 to find the estimated total of £11. When they calculate precisely and come to £11.19, they can feel fairly confident that their calculation was correct.

5. Play Roman numerals bingo

Your child will be expected to be able to read Roman numerals from 1 to 1000. Point out Roman numerals in the modern world. For example, Roman numerals are used on older buildings to show when they were built, or at the end of a film to show the year it was made.

Why not play Roman numeral bingo with your child? Create bingo boards using pieces of A4 paper. Choose and write down six different Roman numerals between 1 and 100 on each piece of paper (one piece of paper per player). One player chooses a number between 1 and 100 and announces it. If a player has that number shown in Roman numerals, they can cover that number. The first player to cover all numbers is the winner.

Here are the Roman numerals up to 1000, with some examples of years written in Roman numerals:

 1 = I 5 = V 10 = X 50 = L 100 = C 500 = D 1000 = M   1995 = MCMXCV 2019 = MMXIX
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Mr. Mathematics

Problem Solving with Place Value

February 3, 2021.

Understanding place value provides the essential foundation for so many aspects of mathematics, from multiplying and dividing by powers of ten, understanding the equivalence between fractions, decimals and percentages, and learning how to write and calculate with numbers in standard form.

The videos below show how I use the place value table to teach these topics conceptually.

Writing numbers as words

Multiplying by 10, 100 and 1000

Converting between fractions, decimals and percentages

I designed this problem-solving lesson to deepen students’ understanding of place value to connect it to other aspects of mathematics, including listing permutations, odd and even numbers and money. By linking to these topics, the questions are challenging yet remain accessible to students in key stage 3 and those studying the foundation GCSE course.

The lesson consists of six problem-solving questions, all centred around place value. Here is a sample of three of the questions.

Here is a sample of three of the questions.

Linking place value to arithmetic

Problem Solving with Place Value

In this question, students link their understanding of place value to writing numbers in figures from words. Next, they use column subtraction to find the difference between two numbers.

Linking place value to permutations

Problem Solving with Place Value

In this question, students arrange the four single-digit cards to make the numbers between 230 and 430.

Students link their understanding of place value to listing permutations.

Linking place value to odd and even numbers

Problem Solving with Place Value

To work out the smallest, even number, students need to find two three-digit numbers with the least difference.

To calculate the biggest, odd number, they need to find two numbers with the greatest difference.

Both questions can be completed through a method of trial and improvement. More able students would use:

  • odd + odd = even
  • odd + even =odd
  • even + odd = odd
  • even + even = even.

Teach this lesson

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About Mr Mathematics

place value problem solving year 5

My name is Jonathan Robinson and I am passionate about teaching mathematics. I am currently Head of Maths in the South East of England and have been teaching for over 15 years. I am proud to have helped teachers all over the world to continue to engage and inspire their students with my lessons.

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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 ...

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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!

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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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Place Value Questions

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Place value questions with solutions are provided here for students to practice and enhance their skills. The place value of a digit in a number represents the position or place of that digit. For example, the place value of 2 in 726 is the tens place. Knowledge of place values will help kids to write numbers in words in both Indian and international systems.

Place value charts in Indian and International systems of numerals :

Crore

Lakhs

Thousands

Ones

Ten-Crore

(TC)

10,00,00,000

Crore

(C)

1,00,00,000

Ten-Lakhs

(TL)

10,00,000

Lakhs

(L)

1,00,000

Ten Thousands

(TTh)

10,000

Thousands

(Th)

1000

Hundreds

(H)

100

Tens

(T)

10

Ones

(O)

1

Millions

Thousands

Ones

Hundred-millions

(HM)

100,000,000

Ten-millions

(TM)

10,000,000

Millions

(M)

1,000,000

Hundred-Thousands

(HTTh)

100,000

Ten-Thousands

(TTh)

10,000

Thousands

(Th)

1000

Hundreds

(H)

100

Tens

(T)

10

Ones

(O)

1

Learn more about Place Values .

Place Value Questions with Solution

Identifying the place value of a digit within a given number are taught to students of grades 1 to 5. These questions on place values will help them affirm their concept regarding place values and the numeral system.

Question 1: Find the place value of 5 for the following numbers:

2500

Hundreds

500

5069

Thousands

5000

7235

Ones

5

9050

Tens

50

Question 2: Find the place value of 2 and 7 for the following numbers:

(iii) 28467

29975

ten thousands

20,000

tens

70

8627

Tens

20

Ones

7

208764

Lakhs/Hundred-thousands

2,00,000 or

200,000

Hundreds

700

720000

Ten thousands

20,000

Lakhs/Hundred-thousands

7,00,000 or

700,000

Questions 3: Fill in the blanks:

(i) 20600 + ____ + 30 + 5 = 28635.

(ii) _____ + ____ + 86 = 4586.

(iii) 4000 + 3 + 400 + ____ = 4443.

(iv) 34589 = _____ + _____ + ____ + ______ +_____.

(i) 20600 + 8000 + 30 + 5 = 28635.

(ii) 4000 + 500 + 86 = 4586.

(iii) 4000 + 3 + 400 + 40 = 4443.

(iv) 34589 = 30,000 + 4000 + 500 + 80 + 9 .

  • Numbers in Words
  • Addition and Subtraction
  • Number Lines
  • Types of Numbers

Question 4: Identify the number which has 4 in tens place and 8 in thousands place. The digit in ones is half the sum of the digits in tens and thousands, and the digit in hundreds place is six less than the digit in ones place. Find the number.

Given, the number has 4 in the tens place and 8 in thousands place.

8

?

4

?

Digit in ones place = (8 + 4) ÷ 2 = 12/2 = 6

Digit in hundreds place = less than the digit in ones place = 6 – 6 = 0

Thus, the number is –

8

0

4

6

Question 5: Write following numbers in the place value chart in both Indian and International system:

(ii) 912597

(iii) 213709

(iv) 120986

2

8

4

5

7

8

9

1

2

5

9

7

2

1

3

7

0

9

1

2

0

9

8

6

In a number, of a digit is the value of the position of that digit within the given number. For example, the place value of the digit 5 in 19530 is 500.

The of any digit in the number is the value of the digit itself. For example, the face value of 5 in 19530 is 5.

Question 6: Find the sum and product of the place value and face value of 6 in the number 86245.

Place value of 6 = 6000

Face value of 6 = 6

6000 + 6 = 6006

6000 × 6 = 36000

Question 7: State ‘true’ or ‘false’ for the following statements:

(i) The place value and face value of any digit in ones place are the same.

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030.

(iii) 300 + 60 + 5 = 356.

(iv) The face value of any digit is either less than or equal to the place value of the digit.

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000.

(i) The place value and face value of any digit in ones place are the same. (True)

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030. (False)

(iii) 300 + 60 + 5 = 356. (False)

(iv) The face value of any digit is either less than or equal to the place value of the digit. (True)

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000. (False)

Question 8: Write the following numbers in words according to the Indian system:

(ii) 129644

(iii) 25456

(i) 94562 – Ninety-four thousand five hundred sixty-two.

(ii) 129644 – One lakh twenty-nine thousand six hundred forty-four.

(iii) 2545600 – Twenty-five lakhs forty-five thousand six hundred.

(v) 30764 – Thirty thousand seven hundred sixty-four.

Question 9: Write the following numbers in words according to the International system:

(ii) 5720964

(iii) 40972

(iv) 497114

(i) 34921 – Thirty-four thousand nine hundred twenty-one

(ii) 5720964 – Five million seven hundred twenty thousand nine hundred sixty-four

(iii) 40972 – Forty thousand nine hundred seventy-two

(iv) 497114 – Four hundred ninety-seven thousand one hundred fourteen

Question 10: Compare the following using ‘>’, ‘<’ or ‘=’:

(i) Place value of 3 in 3245 ____ Place value of 6 in 265

(ii) Places value of 5 in 456 ____ Place value of 2 in 234

(iii) Place value of 7 in 7980 ____ Place value of 5 in 5790

(iv) Place value of 4 in 234 ____ Face value of 9 in 494

(i) Place value of 3 in 3245 > Place value of 6 in 265

(ii) Places value of 5 in 456 < Place value of 2 in 234

(iii) Place value of 7 in 7980 > Place value of 5 in 5790

(iv) Place value of 4 in 234 = Face value of 4 in 495

The following place value chart is used represent decimal numbers:

Question 11: Write the following numbers in the place value charts:

(ii) 325.006

(iii) 0.976

2

3

.

4

5

3

2

5

.

0

0

6

0

.

9

7

6

2

.

9

8

7

Question 12: Fill in the blanks:

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = _____.

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = ________.

(iii) 0.008 + 1.07 + 0.5 = _______.

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = ______.

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = 128.52

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = 2280.11

(iii) 0.008 + 1.07 + 0.5 = 1.578

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = 349.0876

Practice Questions:

1. Find the place value of 6 for the following numbers:

(iii) 497612

2. The digits in the tens and the thousands place of a number are 3 and 9, respectively. The digit in the ones and the ten thousands places are 3 and 4 more than the digit in tens place. If the digit in the hundreds place is three less than the digit in ten thousands place, find the number.

3. Fill in the blanks:

(i) 3000 + 700 + _____ + 8 = 3758.

(ii) 200 + 9050 + 4 = ______.

(iii) 2000 + 0.009 + 12.23 + 300 = _____.

Keep visiting BYJU’S to get more such Maths lessons in a simple, concise and easy to understand way. Also, register at BYJU’S – The Learning App to get complete assistance for Maths preparation with video lessons, notes, tips and other study materials.

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place value problem solving year 5

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Year 5 Problem Solving with Place Value Maths Challenge

Year 5 Problem Solving with Place Value Maths Challenge

This Year 5 Problem Solving with Place Value Maths Challenge aims to secure your child’s understanding of place value while developing their problem solving skills. Children with use clues to work out which numbers the characters have created and then order them. The problem includes negative numbers, Roman numerals, and rounding.

If you would like to access additional resources which link to this maths challenge, you can purchase a subscription for only £5.31 per month on our sister site, Classroom Secrets .

Teacher Specific Information

This Year 5 Problem Solving with Place Value Maths Challenge checks pupils’ understanding of place value while aiming to develop their problem solving skills. Pupils will use clues to work out which numbers the characters have created and then order them. The problem includes negative numbers, Roman numerals, and rounding.

National Curriculum Objectives

Number – number and place value (5N1) Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000 (5N2) Read, write, order and compare numbers to at least 1,000,000 (5N3a) Determine the value of each digit in numbers up to 1,000,000 (5N3b) Read Roman numerals to 1,000 (M) and recognise years written in Roman numerals (5N4) Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000 (5N5) Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero (5N6) Solve number problems and practical problems that involve 5N1 – 5N5

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

    Year 5/6 place value puzzles (reasoning/problem solving) Four 'levels' - answers included! Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

  2. Year 5 Number and Place Value Primary Resources

    Number and Place Value teaching resources for Key Stage 2 - Year 3, 4, 5, 6. Created for teachers, by teachers! Professional Year 5 teaching resources.

  3. Year 5

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  4. Year 5 Place Value Number Problems Maths Mastery Activities ...

    This PowerPoint provides a range of maths mastery activities based around the Year 5 objective "solve number problems and practical problems".

  5. Year 5 Number and Place Value Maths Mastery Activities

    This pack of Maths PowerPoint activities will help your year 5 students master number and place value.&nbsp;With six different interactive PowerPoint activities and challenge cards on number and place value rounding, roman number calculations, negative numbers, and counting in powers of 10 - these activities will guarantee classroom engagement and effective learning.

  6. Place Value Practice Questions

    Place Value Practice Questions - Corbettmaths. Welcome. Videos and Worksheets. Primary. 5-a-day.

  7. 1,265 Top "Place Value Year 5" Teaching Resources curated for you

    How to Teach Problem Solving in Year 5: Number and Place Value CPD Video 1 review PlanIt Maths Year 5 Number and Place Value Lesson Pack 12: Read Roman Numerals to 1000 5 reviews

  8. IXL

    Improve your maths skills by practising free problems in 'Place value word problems' and thousands of other practice lessons.

  9. 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.

  10. Number & place value in Year 5 (age 9-10)

    Number & place value in Year 5 (age 9-10) In Year 5, your child will be reading, writing, and comparing numbers up to 1,000,000. They will round large numbers, interpret negative numbers in lots of contexts, and learn Roman numerals up to 1000 (M). The key words for this section are number and place value.

  11. Place Value Worksheets

    These Place Value Worksheets are perfect for teachers, homeschoolers, moms, dads, and children looking for some practice in Place Value problems.

  12. Year 5 Number and Place Value Primary Resources

    Number and Place Value teaching resources for Key Stage 2 - Year 3, 4, 5, 6. Created for teachers, by teachers! Professional Year 5 teaching resources.

  13. Problem Solving with Place Value

    Problem Solving with Place Value I designed this problem-solving lesson to deepen students’ understanding of place value to connect it to other aspects of mathematics, including listing permutations, odd and even numbers and money.

  14. Year 5 Place Value Number Problems Maths Mastery Activities ...

    This PowerPoint provides a range of maths mastery activities based around the Year 5 objective "solve number problems and practical problems".

  15. Year 5 Maths Worksheets

    Here you will find our selection of Year 5 Maths Worksheets. We have a huge range of math worksheets for Year 5 pupils covering topics from place value to geometry and fractions.

  16. Year 5 Place Value

    They will have the opportunity to use all of their number and place value skills to solve a range of problems. Finally, children will extend their knowledge of Roman numerals to represent numbers up to 1000 and read years written in Roman numerals.

  17. Number & Place Value Maths Mastery

    This pack of Maths PowerPoint activities will help your students master number and place value.&nbsp;With six different interactive PowerPoint activities and challenge cards on number and place value rounding, roman number calculations, negative numbers, and counting in powers of 10 - these activities will guarantee classroom engagement and effective learning.

  18. Place Value Questions

    Place value questions with solutions are provided here for students to practice. Visit BYJU'S to solve place value question worksheets and avail many more study resources.

  19. Year 5 Number and Place Value Challenge Cards

    Use this set of challenge cards to reinforce your teaching and test your students' knowledge. Great as an opening or finishing activity. If your pupils are struggling with their understanding, then you might find useful our teacher-made Year 5 Number and Place Value Interventions. Perfect for addressing common misconceptions and ensuring your little ones are keeping up, not catching up. You ...

  20. Year 5 Problem Solving with Place Value Maths Challenge

    Teacher Specific Information This Year 5 Problem Solving with Place Value Maths Challenge checks pupils' understanding of place value while aiming to develop their problem solving skills. Pupils will use clues to work out which numbers the characters have created and then order them. The problem includes negative numbers, Roman numerals, and rounding.

  21. Place Value Problem-Solving Worksheets

    Problem-solving worksheets are great for independent learning and developing children's understanding of various topics, including place value! This set contains differentiated worksheets, so you can easily support classes of mixed ability or challenge any students who have already mastered the basics. Each sheet has clear answer boxes for ...

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    Looking for Year 5 and Year 6 Maths worksheets for Australian students? These will help teach place value and are rapid to download.