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Year 5 – Multiplication and Division

Welcome to Year 5 Multiplication and Division at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support multiplication and division 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

Differentiated question sets.

multiplication and division problem solving year 5

Short Multiplication Question Set

Short multiplication.

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication –  2 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication –  3 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication –  4 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication –  5 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication –  6 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication –  7 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication –  8 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication –  9 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Multiplication

multiplication and division problem solving year 5

Short Multiplication 4 Digit x 1 Digit 2 Times Table

multiplication and division problem solving year 5

Short Multiplication 4 Digit x 1 Digit 3 Times Table

multiplication and division problem solving year 5

Short Multiplication 4 Digit x 1 Digit 4 Times Table

multiplication and division problem solving year 5

Short Multiplication 4 Digit x 1 Digit 5 Times Table

multiplication and division problem solving year 5

Short Multiplication 4 Digit x 1 Digit 6 Times Table

multiplication and division problem solving year 5

Short Multiplication 4 Digit x 1 Digit 7 Times Table

multiplication and division problem solving year 5

Short Multiplication 4 Digit x 1 Digit 8 Times Table

multiplication and division problem solving year 5

Short Multiplication 4 Digit x 1 Digit 9 Times Table

multiplication and division problem solving year 5

Strips Short Multiplication

multiplication and division problem solving year 5

Long Multiplication

multiplication and division problem solving year 5

Long Multiplication –  Multiplying by 11

multiplication and division problem solving year 5

Faded Scaffolding Strips Long Multiplication –  Multiply by 11

multiplication and division problem solving year 5

Long Multiplication – 3 Digit by 2 Digit

multiplication and division problem solving year 5

Strips- Long Multiplication 

multiplication and division problem solving year 5

Faded Scaffolding Strips Long Multiplication

multiplication and division problem solving year 5

Long Multiplication Faded Scaffolding- 2 Digit by 2 Digit 

multiplication and division problem solving year 5

Long Multiplication Faded Scaffolding- 3 Digit by 2 Digit 

Short division.

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division – 2 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division – 3 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division – 4 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division – 5 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division – 6 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division – 7 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division – 8 Times Table

multiplication and division problem solving year 5

Faded Scaffolding Strips Short Division – 9 Times Table

multiplication and division problem solving year 5

Short Division – 4 Digit Divided by 1 Digit 2 Times Table 

multiplication and division problem solving year 5

Short Division – 4 Digit Divided by 1 Digit 3 Times Table 

multiplication and division problem solving year 5

Short Division – 4 Digit Divided by 1 Digit 4 Times Table 

multiplication and division problem solving year 5

Short Division – 4 Digit Divided by 1 Digit 5 Times Table 

multiplication and division problem solving year 5

Short Division – 4 Digit Divided by 1 Digit 6 Times Table 

multiplication and division problem solving year 5

Short Division – 4 Digit Divided by 1 Digit 7 Times Table 

multiplication and division problem solving year 5

Short Division – 4 Digit Divided by 1 Digit 8 Times Table 

multiplication and division problem solving year 5

Short Division – 4 Digit Divided by 1 Digit 9 Times Table 

multiplication and division problem solving year 5

Short Division –  No Remainders

multiplication and division problem solving year 5

Strips- Short Division- No Remainders

multiplication and division problem solving year 5

Short Division –  Remainders

multiplication and division problem solving year 5

Strips- Short Division- Remainders 

multiplication and division problem solving year 5

Short Division –  Decimal Remainder

multiplication and division problem solving year 5

Strips- Short Division Decimal Remainders 

multiplication and division problem solving year 5

Short Division- Decimal Remainders 

multiplication and division problem solving year 5

Short Division –  Remainders in Different Ways

multiplication and division problem solving year 5

Short Division –  Remainders as Fractions

multiplication and division problem solving year 5

Short Division –  Interpret Remainders in Context

multiplication and division problem solving year 5

Strips- Short Division Decimal Remainders

Multiply by 10, 100 and 1000.

multiplication and division problem solving year 5

Multiplying by 10, 100 or 1000

multiplication and division problem solving year 5

Multiplying by 10, 100 and 1000

multiplication and division problem solving year 5

Faded Scaffolding Strips Multiply by 10, 100 and 1000

multiplication and division problem solving year 5

Faded Scaffolding Strips- Multiply by 10, 100 and 1000- Whole Numbers

Divide by 10, 100 and 1000.

multiplication and division problem solving year 5

Dividing by 10, 100 and 1000

multiplication and division problem solving year 5

Dividing by 10, 100 or 1000

multiplication and division problem solving year 5

Faded Scaffolding Strips Divide by 10, 100 and 1000

multiplication and division problem solving year 5

Faded Scaffolding Strips- Divide by 10, 100 and 1000- Whole Numbers

Mixed multiplication & division by 10, 100 and 1000.

multiplication and division problem solving year 5

Multiplying and Dividing by 10, 100 and 1000

multiplication and division problem solving year 5

Faded Scaffolding Strips Multiply and Divide by 10, 100 and 1000

multiplication and division problem solving year 5

Multiply and Divide by 10, 100 and 1000 Do Now Tasks 

multiplication and division problem solving year 5

Multiply and Divide by 10, 100 and 1000 Do Now Tasks- Varied Representations 

multiplication and division problem solving year 5

Faded Scaffolding Strips- Multiply and Divide by 10, 100 and 1000- Whole Numbers

Using known facts.

multiplication and division problem solving year 5

Divide Using Known Facts to 1,000,000

multiplication and division problem solving year 5

Using Known Facts to 1,000,000

multiplication and division problem solving year 5

Multiply Using Known Facts to 1,000,000

multiplication and division problem solving year 5

Faded Scaffolding Strips- Divide Using Known Facts to 1,000,000 

multiplication and division problem solving year 5

Faded Scaffolding Strips- Multiply and Divide Using Known Facts to 1,000,000 

Faded scaffolding strips- multiply using known facts to 1,000,000 , factors, multiples, square, cubed and prime.

multiplication and division problem solving year 5

Strips Identify Common Factors of Numbers

multiplication and division problem solving year 5

Strips Identify Factors of Numbers

multiplication and division problem solving year 5

Identifying Factor Pairs

multiplication and division problem solving year 5

Identifying Prime Numbers

multiplication and division problem solving year 5

Strips Identify Multiples

multiplication and division problem solving year 5

Faded Scaffolding Strips- Identify Factors of Numbers 

multiplication and division problem solving year 5

Strips- Cube Numbers

multiplication and division problem solving year 5

Strips- Square Numbers

Equality and inequality statements, problem solving.

multiplication and division problem solving year 5

Problem Solving- Multiplication Facts 

multiplication and division problem solving year 5

Problem Solving- Short Multiplication

Word problems and challenges.

multiplication and division problem solving year 5

Prime Numbers Challenges

multiplication and division problem solving year 5

Long Multiplication Challenges

multiplication and division problem solving year 5

Factors Challenge

multiplication and division problem solving year 5

Multiples Challenges

multiplication and division problem solving year 5

Short Multiplication Challenges

multiplication and division problem solving year 5

Multiples Challenges 

multiplication and division problem solving year 5

Multiply and Divide Using Known Facts Challenges 

multiplication and division problem solving year 5

Multiplication and Division Mixed Word Problems 

Resources to support multiplication and division.

multiplication and division problem solving year 5

Long Multiplication Support

multiplication and division problem solving year 5

Stepes to Success

multiplication and division problem solving year 5

Short Multiplication – Steps to Success 

multiplication and division problem solving year 5

Long Multiplication – Steps to Success 

multiplication and division problem solving year 5

Short Division with Decimal Remainders- Steps to Success 

multiplication and division problem solving year 5

Short Division with Fraction Remainders- Steps to Success 

multiplication and division problem solving year 5

Divide by 10, 100 and 1000- Steps to Success 

multiplication and division problem solving year 5

Multiply by 10, 100 and 1000- Steps to Success 

multiplication and division problem solving year 5

Factors – Steps to Success 

multiplication and division problem solving year 5

Square Numbers- Steps to Success 

multiplication and division problem solving year 5

Common Factors – Steps to Success 

multiplication and division problem solving year 5

Cube Numbers- Steps to Success 

multiplication and division problem solving year 5

Prime Factors – Steps to Success 

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  • Multiplication & division

Multiplication and Division Workbook

Download & Print Only $4.20

Grade 5 Multiplication & Division Worksheets

Multiply & divide with grade 5 worksheets.

These grade 5 worksheets provide more challenging practice on multiplication and division concepts learned in earlier grades.

multiplication and division problem solving year 5

Sample Grade 5 Division Worksheet

More division worksheets

Explore all of our division worksheets , from simple division facts to long division of large numbers.

More multiplication worksheets

Find all of our multiplication worksheets , from basic multiplication facts to multiplying multi-digit whole numbers in columns.

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multiplication and division problem solving year 5

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

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

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.

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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18 Word Problems For Year 5: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics

Emma Johnson

Word problems for Year 5 are a great way to assess pupils’ number fluency. By the time primary school children reach Upper Key Stage 2, they will be building on their knowledge and understanding of the number system and place value, working with larger integers. An increased understanding of the connections between the different maths concepts is crucial, as children will be expected to tackle more complex, multi-step problems.

It is important children are regularly provided with the opportunity to solve a range of word problems and Year 5 maths worksheets with reasoning and problem solving incorporated alongside fluency, into all lessons.

To help you with this, we have put together a collection of 18 word problems aimed at Year 5 maths pupils.

Place value 

Addition and subtraction , multiplication and division , fractions, decimals and percentages, measurement , why are word problems important in year 5 maths, how to teach problem solving in year 5, addition word problems for year 5, subtraction word problems for year 5,  multiplication word problems for year 5, division word problems for year 5, fraction and decimal word problems in year 5, mixed four operation word problems, word problem resources.

All Kinds of Word Problems

All Kinds of Word Problems

Download this free pack of multiplication word problems to help your Year 5 class grow their problem solving skills

Year 5 maths word problems in the national curriculum

The National Curriculum states that by Year 5, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic, and problems demanding efficient written and mental methods of calculation. Children also begin to use the language of algebra for solving a range of problems.

By Year 5, pupils should be starting to gain confidence in solving more complex two-step and multi-step word problems, covering topics across the Year 5 curriculum.

Solve number and practical problems involving ordering and comparing numbers to at least 1,00,000; counting forwards or backwards in steps of powers of 10; interpreting negative numbers in context and rounding to the nearest 10,100, 1000, 10,000 and 100,000.

Solve addition and subtraction word problems and a combination of these, including understanding the meaning of the equals sign.

Solve problems involving multiplication and division, including using knowledge of factors, multiples, squares and cubes and scaling by simple fractions.

Solve problems involving numbers up to 3 decimal places and problems which require knowing percentage and decimal equivalents.

Solve time word problems and those involving converting between units of time and problems involving measure (for example, length, mass, volume and money word problems ) using decimal notation and scaling.

Solve comparison, sum and difference problems, using information presented in a line graph.

Word problems are an important element of the Year 5 curriculum. By this stage, children need to be building confidence in approaching a range of one, two and multi-step word problems . They require children to be creative and apply the skills they have learnt to a range of real-life situations. 

Children need to be taught the skills for successfully approaching and tackling word problems. Reading the question carefully and identifying the key information needed to tackle the problem, is the first step, followed by identifying which calculations are required for solving it and deciding whether it will be helpful to draw a picture/ visual representation to understand and answer the question. 

Using mental maths skills to round and estimate an answer is also very helpful for children to establish whether their final answer is realistic. Children need to also be able to calculate the inverse, to be able to check their answer, once the problem has been completed.

See also: Mental maths year 5

Here is an example:

A transport museum has 1243 visitors on Monday morning and another 1387 visitors in the afternoon. On Tuesday 736 fewer visitors go to the museum than who visited on Monday.

How many visitors were there altogether on Tuesday?

How to solve:

What do you already know?

  • The number of visitors on Monday morning and Monday afternoon are given separately. They need to be added together to give the total number of visitors for Monday.
  • ‘Fewer’ means I will need to subtract the number of fewer visitors on Tuesday from the total number of visitors on Monday.
  • Column addition and subtraction will be needed to solve this question.

How can this be drawn/represented pictorially?

We can draw a bar model to represent this problem:

year 5 problem solving

  • To calculate the total number of visitors on Monday, we need to add 1243 and 1387 together. 1243 + 1387 = 2630
  • The number of fewer visitors on Tuesday needs to be subtracted from Monday’s total: 2630 – 736 = 1894.
  • The total number of visitors on Tuesday was 1894.

In Year 5, addition word problems can involve whole numbers with over 4 digits and decimal numbers. Children should be able to round number to check the accuracy and begin to solve two step number problems 

Addition question 1

Gemma picks two cards from the cards below and adds them together.  She is able to make three different totals. What will they be?

2365     6281      9782

Answer (2 marks) : 12,147   16,063  8646

long addition example

Addition question 2

Ahmed adds two of these numbers mentally.

357         280          294          232

In his calculation, he exchanges twice to create one ten and one hundred. Write Ahmed’s calculation and work out the total.

Answer (1 mark) : 357 + 294 = 651

long addition example

Addition question 3

Change one digit in the calculation below, so that the answer is a multiple of 10.

Answer (1 mark) : 723 + 347 = 1070

Subtraction word problems in Year 5 require pupils to be confident subtracting numbers over 4 digits and problems involving decimal numbers. Pupils need to be able to round numbers to check accuracy and to use subtraction when solving mixed word problems. 

Subtraction question 1

A coach is travelling 4924 km across the USA It has 2476 km to go. How many kilometres has the coach already travelled?

Answer (1 mark) : 2448 km

long subtraction example

Subtraction question 2

A primary school printed 7283 maths worksheets in the Summer term. 2156 were for Key Stage 1 pupils. How many were printed for Key Stage 2?

Answer (1 mark): 5127 worksheets

long subtraction example

Subtraction question 3

 A clothing company made £57,605 profit in 2021 and £73,403 in 2022.  How much more profit did the company make in 2022 than in 2021?

Answer (1 mark): £15,798

long subtraction example

In year 5, multiplication word problems include problems involving times tables and multiplying whole numbers up to 4-digits by 1 or 2-digit numbers. Pupils also need to be able to combine multiplication with other operations, in order to solve two-step word problems. 

Multiplication question 1

In this diagram, the numbers in the circles are multiplied together to make the answer in the square between them.

Complete the missing numbers.

complete the missing number

Answer (1 mark)

complete the missing number answer

Multiplication question 2

Mrs Jones was printing the end of year maths test. Each test had 18 pages and 89 pupils were sitting the test. Mrs Jones also needed to print out 12 copies for the teachers and Teaching Assistants who were helping to run the test. 

How many pieces of paper did Mrs Jones need to put in the photocopier, to make sure she had enough for all the tests?

long multiplication

Multiplication question 3

A school is booking a trip to Alton Towers. Tickets cost £22 per pupil. There are 120 children in each year group and all the children from 3 year groups will be going.

What will be the total price for all the tickets?

Answer (2 marks): £7920

long multiplication question

Third Space Learning often ties word problems into our online one-to-one tutoring. Each lesson is personalised to the needs of the individual student, growing maths knowledge and problem solving skills.

multiplication word problem slide

In Year 5, division word problems can involve whole numbers up to 4 digits being divided by 1-digit numbers. Pupils need to understand how to answer word problems, when the answer involves a remainder.

Division question 1

Tom has 96 cubes and makes 12 equal towers. Masie has 63 cubes and makes 9 equal towers. Whose towers are tallest and by how many cubes?

Answer (2 marks): Tom

Tom’s tower has more cubes. His towers have 1 more cube than Maise’s towers.

96 ÷ 12 = 8

Division question 2

A cake factory has made cakes to deliver to a large event. 265 cakes have been baked. How many boxes of 8 cakes can be delivered to the event?

Answer (2 marks) : 33 boxes

long division question

Division question 3

Lily collected 1256 stickers. She shared them between her 8 friends. How many stickers did each friend get

Answer (1 mark): 157 stickers

long division answer

In Year 5, fractions word problems and decimals can include questions involving ordering, addition and subtraction of fractions. They can also involve converting between fractions and decimals. 

Fraction and decimal question 1

Isobel collected 24 conkers. She gave \frac{1}{8} of the conkers to her brother. How many conkers did she have left?

Answer (1 mark): 21 conkers left

\frac{1}{8} of 24 = 3

24 – 4 = 21

Fraction and decimal question 2

Ahmed counted out 32 sweets. He gave \frac{1}{4} of the sweets to his brother and \frac{3}{8} of the sweets to his friend. How many sweets did he have left?

Answer (2 marks): 12 sweets

\frac{1}{4} of 32 = 8

\frac{3}{8} of 32 = 12

He gave away 20 sweets, so had 12 left for himself.

Fraction and decimal question 3

Two friends shared some pizzas, 1 ate 1 \frac{1}{2} pizzas, whilst the other ate \frac{5}{8} of a pizza. How much did they eat altogether?

Answer (1 mark): 2 \frac{1}{8} of pizza

1 \frac{1}{2} = \frac{12}{8}

\frac {12}{8} + \frac{5}{8} = \frac{17}{8} = 2 \frac{1}{8} pizzas

Problems with mixed operations, or ‘multi-step’ word problems, require two or more operations to solve them. A range of concepts can be covered within mixed problems, including the four operations, fractions, decimals and measures. These are worth more marks than some of the more straightforward, one-step problems.

Mixed operation question 1

At the cake sale, Sam buys 6 cookies and a cupcake . He pays £2.85 altogether. Naya buys 2 cookies and pays 90p altogether.

How much does the cupcake cost?

Answer (2 marks): 60p for one cupcake

money word problem

Mixed operation question 2

Large biscuit tin – 48 biscuits (picture of boxes here) Small biscuit tin – 30 biscuits Ben bought 2 large tins of biscuits and 3 small tins.

How many biscuits did he buy altogether?

Answer (2 marks): 186 biscuits

2 x 48 = 96

3 x 30 = 90

96 + 90 = 186 biscuits

Mixed operation question 3

The owner of a bookshop bought a box of 15 books for £150.

He sold the books individually for £12 each. 

How much profit did he make?

Answer (2 marks)

long multiplication money question

Third Space Learning offers a wide array of maths and word problems resources for other year groups such as word problems for year 6 , word problems for year 3 and word problems for year 4 . Our word problem collection covers all four operations and other specific maths topics such as ratio word problems and percentage word problems .

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Year 5 - Mixed Multiplication and Division Word Problems

Year 5 - Mixed Multiplication and Division Word Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Tuition by Teachers' Shop

Last updated

16 January 2024

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multiplication and division problem solving year 5

This resources is designed for Year 5 Maths. It covers mixed multiplication and division with remainders. It includes a variety of problem solving questions.

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Year 5 Solving Division Problems Worksheets | KS2 Multiplication & Division | Primary Maths

Year 5 | Solving Division Word Problems Worksheets

In these Year 5 solving division word problems worksheets , a variety of word problems are presented, challenging learners to apply their knowledge and skills in short division to find the solutions. Each problem comes with a designated space for pupils to showcase their step-by-step working.

This worksheet serves as an ideal practice tool for children to hone their proficiency in the short division written method while gaining a deeper understanding of how division can be effectively employed to solve real-life word problems.

Our Year 5 multiplication and division worksheets are aligned with the KS2 national curriculum and can be combined with your ideas for primary learning activities, differentiation, homework and lesson plans.

You might be interested in our Year 5 multiples worksheets .

Explore all of our Year 5 maths worksheets .

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    Multiplication and Division Word Problems. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 15.89 KB. A variety of multiplication and division word problems used for a year 5 class. Two versions for differentiation. Creative Commons "Sharealike".

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    Year 5 - Mixed Multiplication and Division Word Problems. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 707.5 KB. This resources is designed for Year 5 Maths. It covers mixed multiplication and division with remainders. It includes a variety of problem solving questions.

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