length problem solving year 5

Worksheet on Word Problems on Measurement 

Practice the questions given in the worksheet on word problems on measurement. 

1. Rachel has a rope of length 40 m. She gave 12 m 53 cm to Sam, 18 m 35 cm to Ron and 9 m 7 cm to Jack. What length of rope is still left with Rachel?

2. John has a jar filled with juice. After he poured 350 mℓ of juice in each 8 glasses he was still left with 200 mℓ juice in the jar. What was the capacity of jar in liters?

3.  A worker transferred 50 bags of rice weighing 38 kg 500 g each into a truck. The weight of empty truck is 1480 kg. What will be the weight of the truck with the bags?

4. Jane has 63 m of ribbon. If she cuts 56 m 21 cm ribbon from it, what length of ribbon will be left?

5. Victor wants to make a book tower of height 48 cm. If the thickness of each book is 12 mm, how many books will he need to make the desired height?

6. Adrian has to take 2 spoons of multivitamin syrup each day. If the capacity of the spoon is 15 mℓ, what quantity of syrup will be taken by him in a week?

7. Neil has a bag of pulses which weighs 25 kg. While putting them in the shelf, he tore the bag and hence 1850 g of pulses fell on the floor. What quantity of pulses is still there in the bag?

8. A box of frozen vegetables weighing 144 kg 780 g was delivered at a grocery shop. If there were 15 packets of equal weight inside the box, what was the weight of each bag?

9. Menasha travelled 86 km 520 m by train and 11 km 480 m by car. What distance did she travel in all?

10. In a grocery shop, there was 2510 kg 350 g of wheat in the morning. During the day, 890 kg 600 g of wheat was sold out. How much of wheat was left in the shop in the evening? 

11. A tin contains 10 ℓ 150 mℓ, a second tin contains 5 ℓ 750 mℓ and a third tin contains 3 ℓ 875 mℓ of ground nut oil. What is the total quantity of oil?

12. A person purchases 3 m 30 cm of cloth and stitches a shirt using 2 m 48 cm of it. How much cloth is left?

13. Maria buys 2 ℓ 500 mℓ of milk daily. Find the total quantity of milk bought by Maria in a week.

14. Aaron ordered for 18 boxes of sweets each weighing 1 kg 250 g. Find the total weight of the sweets.

15. If 9 cups of equal mass are made out of 1 kg 530 g of silver, what is the mass of each cup?

16. If 24 metres of cloth is needed for 10 shirts, how much cloth is needed for one shirt?

17. Anju made 14 m 10 cm of rope on the first day and 12 m 15 cm on the second day. What is the total length of rope made by Anju in two days?

18. Raj travelled 750 km by cycle and 142 km by bus. How much did he travel in all?

19. Hari bought 222 kg of vegetable. He sold 111 kg vegetables. How much is he left with now?

20. A milk booth had 150 ℓ 300 mℓ of milk. He sold 50 ℓ 200 mℓ of milk. How much milk he left now?

21. Ram bought 5 kg 400 g sugar and 2 kg 100g rice. What was the total weight of articles?

22. A carpenter had 26 kg 350 g of glue. 14 kg 230 g of glue spilled. How much glue he is he left with now?

23. Sita bought 3600 g mangoes and 550 g apples. What was the total weight of the fruits?

24. The weight of Ajay is 62 kg 50 g and that of Sanjay is 58 kg 35g. Whose weight is more and how much?

25. Three tins contain 28 ℓ 95 mℓ, 46 ℓ 50 mℓ and 18 ℓ 90 mℓ oil. Find the total quantity of oil in the three tins?

26. Kamal travelled 345 km by train, 48 km 765 m by car and 36 km 990 m by scooter. What is the total distance that he covered?

2. 3 liters

5. 40 books

7.  23.15 kg

8.  9.652 kg

9.  98 km

10.  1619.75 kg

11.  19.775 ℓ

12.  0.82 m

13.  17.5 ℓ

14.  22.5 kg

15.  0.17 kg

16.  2.4 m

17.  26 m 25 cm

18.  892 km

20.  100 ℓ 100 mℓ

21.  7 kg 500 g

22.  12 kg 120 g 

23.  4150 g or, 4 kg 150 g

24.  Ajay, 4 kg 15 g

25.  92 ℓ 235 mℓ

26.  430 km 755 m

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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

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:

• 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

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

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

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

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

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.

Answer (1 mark)

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?

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

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.

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

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

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

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)

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 Problems with Length Game

This Year 5 Problems with Length Game checks your child’s understanding of solving problems that involve measure, in this case problems involving length. Children will answer five different questions using the four operations and their knowledge of mm, cm, m, and km.

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

Teacher Specific Information

This Year 5 Problems with Length Game checks pupils’ understanding of solving problems that involve measure, in this case problems involving length. Pupils will answer five different questions using the four operations and their knowledge of mm, cm, m, and km.

National Curriculum Objective

Measurement (5M9b) Use all four operations to solve problems involving measure [for example, length] using decimal notation, including scaling

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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?

For full functionality of this site it is necessary to enable JavaScript.

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

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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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Length Word Problems — Additions and Subtraction (Year 5)

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Children will use their addition and subtraction skills to solve word problems about length in this worksheet. When answering the questions, make sure they pay attention to the different units of length — millimetres, centimetres, metres and kilometres — that they may need to convert between.

An answer sheet is included.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Units of Measure
• Topic Group: Measurement
• Year(s): Year 5
• Media Type: PDF
• Resource Type: Worksheet
• Last Updated: 24/10/2023
• Resource Code: M2WAT499
• Curriculum Point(s): Use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling.

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Mixed Word Problems — The 4 Operations (Year 5)

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Mixed Word Problems — The 4 Operations: Stretch (Year 5)

Length Word Problems — Multiplication & Division (Year 5)

Mass Word Problems (Year 5)

Measurement Word Problems (Year 5)

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Related Resources

Length Word Problems — All Four Operations (Year 5)

Problem Solving and Converting Between Units (Year 6)

Compare and Calculate Length (Year 4)

Volume Word Problems (Year 5)

Converting Between Standard Units (Year 6)

• Converting Units

Measurement — Add and Subtract Lengths (Year 3)

Converting Units — Pairs Game (Year 4)

Converting Lengths — Pairs Game (Year 4)

Measurement Word Problems: Stretch (Year 5)

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5th Grade Math Word Problems Worksheets

Math word problem worksheets for grade 5.

These worksheets present students with real world word problems that students can solve with grade 5 math concepts. 

We encourage students to think about the problems carefully by:

• providing a number of mixed word problem worksheets
• including irrelevant data  so students need to understand the context before applying a solution

The four operations

Mixed 4 operations

Estimating and rounding word problems

Grade 5 fractions and decimal word problems

Addition and subtraction of fractions

Addition and subtraction of mixed numbers

Division of numbers with fractional answers

Dividing by unit fractions

Multiplying fractions word problems

Mixed operations with fractions

More mixed fraction word problems

Decimals word problems

Measurement word problems

Mass and weight word problems

Volume and capacity word problems

Length word problems

Word problems worksheets with variables

Variables and expressions

Variables and equations

Other grade 5 word problems worksheets

Volume of rectangular prisms

GCF / LCM word problems

Mixed grade 5 word problems  

Sample Grade 5 Word Problem Worksheet

More word problem worksheets

Explore all of our math word problem worksheets , from kindergarten through grade 5.

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Year levels.

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Expected level of development

Australian Curriculum Mathematics V9 :  AC9M5M02

Numeracy Progression : Understanding units of measurement: P7

At this level, students estimate and measure perimeter in metric units for length and area of quadrilaterals using grid squares and square centimetres. They solve practical problems involving the perimeter and area of regular and irregular shapes.

Use explicit teaching and questioning to help students differentiate between the concepts of area and perimeter.

Provide students with activities to develop an understanding of the fact that area and perimeter are not dependent on each other (for example, a shape with a perimeter of 12 cm may have multiple different areas, depending on the shape and its dimensions).

When measuring the area of familiar shapes such as a rectangle, students will use square centimetres or grid paper to cover regions, and they may discover familiar representations (such as rows and columns that resemble arrays used in multiplication). They add the rows to calculate the area. Note that in Year 6, students are expected to use the area formula for area of rectangles: A = L × W.

Make explicit efficient ways to calculate the perimeters of rectangles. Look for alternate ways to calculate perimeter P = L + L + W + W and P = 2L + 2W, which shows that both the length and width are doubled then added together. An alternative version of this rule is P = 2(L + W), where students first add the length and width then multiply the result by two (double).

Teaching and learning summary:

• Use explicit teaching and questioning when discussing concepts of area and perimeter.
• Enable students to discover efficient ways to calculate the perimeters of rectangles.
• Investigate situations that involving perimeter.
• Present area problems that require students to reason, use space efficiently, fit a set number of objects.

• describe how to calculate perimeter and area of a quadrilateral
• compare and order 2D shapes according to their area
• use metric units to measure perimeter and area.

Some students may:

• confuse the formulas for finding area and perimeter. Rather than providing students with the formula, A = L × W, provide opportunities for them to discover this themselves. This is primarily because the formulas are introduced too early and before students have developed a conceptual understanding of area and perimeter. It is important to use concrete, pictorial and abstract representations when teaching these concepts.
• have trouble understanding that if a shape is cut up and re-formed it will still have the same area (conservation of area). Revisiting properties of 2D shapes may help develop this understanding.
• believe that there is a direct relationship between area and perimeter. They may believe that surfaces with the same area must have the same perimeter, and vice versa. Challenge this thinking through a variety of activities to demonstrate the lack of relationship between the one-dimensional perimeter and the two-dimensional area.

The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.

Learning intention

• We are learning how to measure area using formal units.
• We are learning how to decompose and rearrange shapes to find their areas.

Why are we learning about this?

• Area helps you to quantify physical space. In real life, area measurements can help with working out quantities, for example, how much wallpaper is needed to cover a wall.
• Find a large box. Estimate how much wrapping paper you would need to wrap the box. Record your estimation.
• Cover one face of the box with a sheet of wrapping paper. Mark the around edges of the box on the non-coloured side of the wrapping paper. Work out the area of that face. Record your answer.
• Repeat the steps above for the remaining five faces of the box.
• Calculate the total area of the wrapping paper needed to cover the box. 
• Draw a diagram to show all your measurements.

Success criteria

• find the area of a rectangular shape
• combine areas of a shape when working out the area of a box
• estimate and work out how much wrapping paper is required to cover a box.

Please note:  This site contains links to websites not controlled by the Australian Government or ESA. More information  here .

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Teaching strategies.

A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well. 

Explicit teaching

Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.

Questioning

A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.

Mathematics investigation

By giving students meaningful problems to solve they are engaged and can apply their learning, thereby deepening their understanding.

Culturally responsive pedagogies

Culturally responsive pedagogy is a form of teaching that incorporates learners’ cultural background and histories into classroom practice.

Teaching resources

A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.

Farm fence fractions

In this lesson, we explore fractions, decimals and perimeter.

reSolve: Area and perimeter

Students consolidate their understanding of and skills in calculating the area and the perimeter of rectangles.

4 by 3 rectangle inquiry

Students investigate rectangles with an area of 12 square units and, through problem-solving, look for relationships between area and perimeter.

Numerically equal

This problem requires students to consider area and perimeter at the same time, and to know the difference between the two.

Patrolling the perimeter

Students measure the dimensions of rectangles (including squares) in the environment, then estimate and measure their perimeters.

An absorbing challenge

Students estimate the area of irregular shapes and then check the accuracy of their effort.

Area builder

Use this interactive tool to explore the relationship between area and perimeter.

Wallpaper Area

This task is designed to help students understand the meaning of area. It challenges students to arrange pieces of wallpaper in order of size and explain their decisions.

How many rectangles?

Use this video to explore area and perimeter.

Area and perimeter: Video and teaching guide

Use this video to explore concepts of area and perimeter, and connect these ideas to real-world situations.

Finding the areas of rectangles using side lengths

Students find areas of rectangles by measuring and multiplying side lengths.

Area and scaling

Use this set of teacher slides to extend and apply students’ thinking about area.

Relevant assessment tasks and advice related to this topic.

By the end of Year 5, students are choosing and using appropriate metric units to measure the attributes of length, mass and capacity, and to solve problems involving perimeter and area.

Lengths and areas

Use the student resources to enable students to self-check answers to length, area and perimeter problems.

Mathematics: ACARA work sample portfolio summary – Year 5

Refer to Work sample 7, 'Measurement – Using perimeter and area' and the related task for guidance in assessing students’ understanding of perimeter and area.

What is the area?

Use this diagnostic task to assess what students know about area and using the area formula.

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Year 4 Length and Perimeter Complete Unit

Last updated

24 September 2024

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Resources included (9)

Year 4 Length and Perimeter - Perimeter of Polygons Lesson

Year 4 Length and Perimeter - Perimeter of Regular Polygons Lesson

Year 4 Length and Perimeter - Calculate the Perimeter of Rectilinear Shapes Lesson

Year 4 Length and Perimeter - Find Missing Lengths in Rectilinear Shapes Lesson

Year 4 Length and Perimeter - Perimeter of Rectilinear Shapes Lesson

Year 4 Length and Perimeter - Perimeter of a Rectangle Lesson

Year 4 Length and Perimeter - Perimeter on a Grid Lesson

Year 4 Length and Perimeter - Measure in km and m Lesson

Year 4 Length and Perimeter - Equivalent Lengths (km and m) Lesson

A bundle of fully resourced length and perimeter lessons based on the Year 4 White Rose maths unit for length and perimeter with 9 fully planned and resourced lessons included

Included are lessons for:

Lesson 1 - Measure in km and m Lesson 2 - Equivalent lengths (km and m) Lesson 3 - Perimeter on a grid Lesson 4 - Perimeter of a rectangle Lesson 5 - Perimeter of rectilinear shapes Lesson 6 - Find missing lengths in rectilinear shapes Lesson 7 - Calculate perimeter of rectilinear shapes Lesson 8 - Perimeter of regular polygons Lesson 9 - Perimeter of polygons

All lessons include:

• A lesson PowerPoint with starter, vocabulary, modelling (with teacher notes) and guided practice
• Lesson plan
• Worksheet with answer sheet
• Scaffolded worksheet with answer sheet
• Modified worksheet for those who need additional changes to access the learning with answers
• Challenge tasks
• Support strips that can be stuck in books

Everything is included that could be needed to run the lesson successfully, with each resource carefully considered in ensuring accessibility for all as well as ensuring there are plenty of opportunities for challenge to provide depth of understanding.

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