weight problem solving year 4

Weight Word Problem Worksheets

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Free printable and online math worksheets to help students learn how to solve one-step word problems involving metric weights. Solving weight word problem worksheets involves understanding the information provided, identifying the key details, choosing the appropriate mathematical operation (addition, subtraction, multiplication, or division), and solving for the unknown.

• Begin by carefully reading the word problem. Identify the quantities involved, the units of measurement, and the relationships between them.
• Clearly identify what is given in the problem and what you need to find. This includes identifying the weights of objects, people, or substances.
• Pay attention to the units of measurement used in the problem. Whether it’s in kilograms, grams, or another unit, make sure you understand and convert if necessary.
• Based on the information provided, decide which mathematical operation (addition, subtraction, multiplication, or division) is needed to solve the problem.
• Translate the information into a mathematical equation or expression or use tape diagrams as a visual tool. This may involve adding weights, subtracting weights, finding the difference between two weights, or using other operations.
• Execute the plan and perform the necessary calculations. Be sure to use the correct mathematical operations and units of measurement.
• After finding a solution, check if it makes sense in the context of the problem. Ensure that the units are consistent, and the answer aligns with the information provided.
• Express the answer clearly in a sentence or statement that answers the question posed in the word problem.

Solving weight word problems requires a combination of mathematical skills, understanding of units of measurement, and critical thinking. Regular practice with a variety of problems can help students develop proficiency in solving such word problems.

Then, practice the following worksheets.

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Weight Word Problem Worksheets .

More Weight Word Problem Worksheets

Printable (Answers on the second page) Weight Word Problem Worksheet #1 Weight Word Problem Worksheet #2 Weight Word Problem Worksheet #3

Online Metric Mass Word Problems

Related Worksheets

Weight Word Problems

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Resources tagged with: Mass and weight

There are 20 NRICH Mathematical resources connected to Mass and weight , you may find related items under Measuring and calculating with units .

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Worksheet on Word Problem on Measuring Mass

Practice the questions given in the worksheet on word problem on measuring mass (i.e. addition and subtraction). Addition and subtraction in grams and kilograms is done in the similar way as in the case of ordinary numbers.

1. Jason purchased 7 kg 200 g of sugar, 9 kg 395 g of rice. What is the total weight which Jason carried?

2. Rachel bought 8 kg 400 g tomatoes, 2 kg 130 g brinjal and 7 kg 300 g watermelon from the green grocer. How many kilograms of fruits and vegetables did she buy?

3. A rickshaw-puller is carrying two persons weighting 52 kg 250 g and 37 kg 700 g. What is the total weight of the two persons carried by the rickshaw-puller?

4.  The total weight of Tania’s bag is 45 kg 750 g and Diana’s bag is 43 kg 950 g. Whose bag is heavier and by how much?

5.  A truck was loaded with 352 kg 100 g of pumpkins and 207 kg 432 g of watermelons. Find the total weight carried by the truck.

6.  Weight of a pile of English newspaper is 16 kg 270 g and that of French newspaper is 18 kg 227 g. If both the piles are tied together, what will be the total weight of the bundle?

7.  A shopkeeper sold 67 kg 626 g of wheat on Saturday and 125 kg 200 g of wheat on Sunday. Find the total weight of wheat sold on both the days.

8.  A grocer puts apples and plums together on the weighing machine. The total weight shown on the machine is 8 kg. If the weight of the plums is 2 kg 700 g, then what is the weight of the apples?

9. Jasmine purchased 7 kg 302 g of rice and Melissa purchased 3 kg 598 g more. What quantity of rice did Jasmine and Melissa purchase?

10. The weight of a chocolate carton is 20 kg. Each carton has 10 packets. Each packet has 25 chocolates. How many chocolates are there? Find the weight of each chocolate presuming that weight of carton and packets is negligible.

11. Brian sold 123 kg 231 g of newspapers and 200 kg of magazines. Find the total quantity of articles sold.

12. Ron takes care of deer and wild bulls in the zoo. The deer weighs 182 kg 290 g and a wild bull weighs 753 kg 380 g. Answer the given questions.

(i) If the both the animals stand on a weighing machine together what will be the total weight shown on the machine?

(ii) By how much is a bull heavier than deer?

(iii) If a deer eats 15 kg 250 g grass in a week. How much grass will be eaten by a deer in 42 days?

13. Aaron weight 49 kg 357 g and Ron weights 32 kg 458 g. Who weighs less and by how much?

14. If the total weight of 24 bulls having same weight is 487200 kg. What is the weight of each bull?

15. Father bought 10 kg 750 g of fruits (mangoes and apples). He had 6 kg 860 g of mangoes. What is the weight of apples?

16. Nina bought 5 kg of fruits. On the way home, she ate 750 g of fruits. How much fruit did she take back home?

17. Nancy brought a cake weighing 5 kg 675 g. Approximately 2 kg 395 g of cake is distributed among the children. What quantity of cake is left?

18. Rita weighs 13 kg 250 g. Her elder brother is three times heavier than Rita. What is her brother’s weight?

19. Mother purchased 9 kg 357 g of sweets and snacks for the occasion. Out of which 6 kg 458 g were consumed. What quantity of sweets and snacks were left?

20. A box can carry a total weight of 27 kg. Candies have to be packed inside the box. If the weight of each candy is 30 g, how many candies can be packed inside the box?

21. A shopkeeper purchased 287 kg 500 g of orange. Later on, he found that 98 kg 300 g of oranges were rotten. Find the quantity of oranges in good condition.

22. A lift can withstand a weight of 500 kg. There are 7 people standing to go in the lift. Given below are their weights. Find out if all of them can go inside the lift altogether. If no, then why?

23. Mary weighs 63 kg 59 g and Alex weighs 59 kg 36 g. Who weighs less and by how much?

24. Kellie’s weight is 55 kg 330 g. The doctor says that according to her height, her weight should be 62 kg. How much weight should she gain?

25. How much heavier is the toffee packet which has mass 1 kg 845 g in comparison to 500 g of chocolates?

Answers for the worksheet on word problem on measuring mass (i.e. addition and subtraction) are given below.

1. 16 kg 595 g

2. 17 kg 830 g

3. 89 kg 950 g

4. Tania’s bag is 1 kg 800 g

5. 559 kg 532 g

6. 34 kg 497 g

7. 192 kg 826 g

8. 5 kg 300 g

9. 10 kg 900 g

10. 250, 80 g

11. 323 kg 231 g

12. (i) 935 kg 670 g

(ii) 571 kg 90 g

(iii) 91 kg 500 g

13. Ron weighs less by 16 kg 899 g

14. 20,300 kg

15. 3 kg 890 g

16. 4 kg 250 g

17. 3 kg 280 g

18. 39 kg 750 g

19. 2 kg 899 g

21.  189 kg 200 g

22.  All can go, 425 kg 350 g

23.  Alex weighs less by 4 kg 23 g

24.  6 kg 670 g

25.  1 kg 345 g

Measurement of Mass:

What is Mass?

Conversion of Standard Unit of Mass

Conversion of Measuring Mass

Addition of Mass

Subtraction of Mass

Addition and Subtraction of Measuring Mass

Worksheet on Conversion of Mass

Worksheet on Addition of Mass

Worksheet on Third Grade Measurement of Mass

Worksheet on Subtraction of Mass

3rd Grade Math Worksheets

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From Worksheet on Word Problem on Measuring Mass to HOME PAGE

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Differentiated Weight Word Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

18 May 2019

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Measuring Weight

This Year 4 'Measuring Weight' series of lessons is a great way of teaching your class everything they need to know about weight.

#TheCompleteSeries5lessons

They will explore the different units of measurement used to measure weight and their relationships to each other, how to estimate the weights of different objects and how to check these estimates, as well as solving problems about weight and finding out some fascinating facts!

With lesson plans, informative slides, differentiated worksheets and more, these Year 4 'Measuring Weight' lessons provide all the resources you need to teach this fun and practical scheme of work, lifting the planning weight completely off your shoulders!

#Lesson1GramsandKilograms

The first lesson in this series starts by looking at the relationship between kilograms and grams, and identifies their abbreviations. Children will then go on to consider objects around them that could (and should) be measured in grams or kilograms, before using a variety of objects to estimate and weigh, using the appropriate unit of measurement. The alternative activity has a team game that will challenge groups to find objects of particular weights before their rivals!

What's included:

• Lesson plan
• Activity ideas
• Differentiated worksheets

#Lesson2ExpressingWeights

This lesson encourages children to explore different ways of expressing the same weight by converting grams to kilograms (expressing the answer as a decimal), as well as expressing the amount using both kilograms and grams. There is also the challenge of re-arranging the digits of a number to create as many ways of expressing a weight as they can think of, including converting a weight from grams to kilograms and vice versa.

• Challenge cards

#Lesson3AddingandSubtractingWeights

The questions throughout the slides for this lesson get progressively harder as children work out how to add and subtract different weights, including weights with one decimal place and two weights that are expressed in different units of measurements. The slides show some different strategies for solving such problems, including using a number line, and vertical addition and subtraction. The independent learning activities have plenty of problems for children to solve, including solving problems involving animal weights!

• Animal cards
• Question cards
• Weight cards

#Lesson4SolvingProblems

Now that children have some strategies under their belts to add and subtract weights, they can put their skills to the test as they solve a variety of word problems relating to length. There are a variety of problems for children to solve as a class on the slides (with explanations for how problems were solved if they get stuck) to prepare them for solving similar problems independently.

• Parcel cards

#Lesson5FascinatingFacts

The final lesson in this series gives your class the chance to find out some fascinating facts about weight! Starting with looking at some record-breaking fruits and vegetables on the slides, children can then explore a variety of weird and wonderful facts about weight for themselves during their independent learning.

• Poster template sheet

Free Overview (Medium-Term Plan)

Download a free overview to support your teaching of this scheme of work.

Free Assessment Grid

Download a free, editable assessment grid to support your teaching of this scheme of work.

Curriculum Objectives covered

• Year 4 - Convert between different units of measure
• Year 4 - estimate, compare and calculate different measures, including money in pounds and pence

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20 Word Problems For Year 4: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics

Emma Johnson

Word problems for Year 4 play an important role in Year 4 maths. In Year 4, the main focus is to ensure that pupils are becoming more fluent with whole numbers and the four operations. Students work to develop efficient written methods and to be accurate with their calculations. Pupils in Year 4 are exposed to a wider range of problem-solving questions and progress from one to two-step problems.

It is important that all children are given regular opportunities to access reasoning and word problem style questions. Fluency, reasoning and problem solving should be intertwined through every lesson, with all children having the opportunity to tackle each of these question types. 

All Kinds of Word Problems Multiplication

Strengthen your students' problem solving and multiplication skills with this pack of multiplication word problems

Place value 

Addition and subtraction , multiplication and division, fractions, decimals and percentages, measurement, why are word problems important in year 4 maths, how to teach problem solving in year 4, addition word problems for year 4, subtraction word problems for year 4, multiplication word problems for year 4, division word problems for year 4, fraction and decimal word problems in year 4, time word problems in year 4, multi-step word problems in year 4., more primary word problems resources.

There can sometimes be a tendency for reasoning and problem solving questions to be treated as extension activities for only the higher attaining pupils to attempt, but children of all abilities need to be accessing them on a regular basis.

To help you with this, we have put together a collection of 20 word problems aimed at Year 4 pupils. For more Year 4 maths resources, take a look at our collection of Year 4 maths worksheets .

Year 4 Maths Word Problems in the National Curriculum

In Year 4, pupils progress from solving one-step problems, to also being exposed to two-step problems across a range of topics, as set out in the National Curriculum.

Solve word problems involving counting in multiples of 6,7,9, 25 and 100; finding 1000 more or less than a given number; counting backwards through 0 to include negative numbers; ordering and comparing numbers beyond 1000 and rounding numbers to the nearest 10. 100 and 1000

Solve addition and subtraction word problems with up to 4 digits, including two-step word problems, deciding which operations and methods to use and why.

Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems.

Solve problems involving increasingly harder fractions word problems to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. Also Solve simple measure and money problems involving fractions and decimals to 2 decimal places.

Solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days.

Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

Word problems are increasingly important as pupils move through Key Stage 2. As they become more confident with some of the core concepts pupils need to be applying this knowledge to a range of situations. By the end of Year 4, pupils should have memorised their multiplication tables up to and including the 12 times table and should be showing precision and fluency in their work.

Word problems in Year 4 should be fun and engaging for students. There are many ways to do this, including:

• acting out the problem;
• using manipulatives and visual images to help children understand the maths within the problem;
• use of talk partners to encourage children to discuss the question and share strategies for reaching a solution;
• using relatable problem solving situations.

Children need to be encouraged to read word problem questions carefully, to ensure they have identified the key information needed to be able to solve the problem. Pupils need to think about what they already know and how that information can help them to answer the question. They should also be encouraged to draw pictures and visual images, where appropriate, to help them to understand what the question is asking.

Here is an example:

A shop has an 8m roll of fabric.

The first customer buys 125cm of fabric and the second customer buys 3m from the same roll.

How much fabric is left on the roll, once the two customers have taken theirs?

How to solve:

What do you already know?

• The amount the first customer buys is given in cm, the amount the second customer buys is given in m. These needed to be converted to the same unit.
• Pupils in Year 4 need to be able to convert cm to m and vice versa. In this question, both the cm can be given as m or the m changed to cm to solve it.
• Once the units are the same, the two amounts need to be added together, to work out the total amount bought by the two customers.
• We can see this is a two-step question. To calculate how much fabric is left on the roll, the total amount bought by the two customers needs to be subtracted from the initial amount of fabric on the roll.

How can this be drawn/represented pictorially?

We can draw a bar model to represent this problem:

• To calculate the total amount of fabric bought, we need the units to be the same. We can either calculate in cm (300cm + 125cm = 425cm) or in m (3m + 1.25m = 4.25m)
• The amount of material bought needs to be subtracted from the original amount. This can again be solved in m or cm. Either in m: 8m – 4.25m = 3.75m or in cm: 800cm – 425cm = 375cm
• The total amount of material left is 3.75m or 375cm

In Year 4, addition word problems involve questions up to 4-digit numbers. They can include one and two-step addition and incorporate a range of concepts, such as measures and money word problems  

Addition question 1

It is 4164 miles to travel from London to Doha and 3266 miles to travel from Doha to Bangkok.

How far is it to travel from London to Bangkok, if the flight stops in Doha first?

Answer (1 mark): 7430 miles

Addition question 2

Fill in the missing numbers in this calculation.

Answer (1 mark): 6840

Addition question 3

On Saturday, 5486 fans attended a football game and 3748 fans attended a rugby game.

How many fans watched the two games in total?

Answer (1 mark): 9234

Subtraction word problems in Year 4, also involve numbers up to 4-digits, including both one and two-step problems, covering a range of concepts. By this stage, children should be confident in estimating and using the inverse, to check calculations.

Subtraction question 1

3241 people visited the zoo on Saturday.

On Sunday 2876 people visited.

How many more people visited the lake on Saturday than on Sunday?

Answer (1 mark): 365

 3241 – 2876 = 365

Subtraction question 2

 A teacher prints out 1242 worksheets in a term.

If 435 were maths worksheets, how many did she print out for the other subjects?

Answer (1 mark): 807

Subtraction question 3

The temperature in Toronto dropped to minus 15 degrees celcius in December. 

In July the temperature was 47 degrees celsius warmer than it was in December. What was the temperature in July? 

Answer (1 mark): 32 degrees warmer

47 – 15 degrees = 32 degrees celsius

Counting on 47 degrees from minus 15 degrees  = 32 degrees celsius

In Year 4, multiplication word problems can include recalling facts for times tables up to 12 x 12 and multiplying two and three-digit numbers by a 1-digit number, using formal written layout.  

Multiplication question 1

All the pupils in Year 4 complete a mental maths test.

27 pupils score 9 marks out of 10.

What is the total number of marks scored by the 27 pupils?

Answer (1 mark): 243

27 x 9 = 243

Multiplication question 2

Year 3 and 4 children from a local primary school go on a school trip. 

Six mini buses are used to transport the children.

 There are 17 children on each minibus.

How many children go on the school trip?

Answer (1 mark): 102

17 x 6 = 102 children

Multiplication question 3

Biscuits come in packs of 18.

Mrs Smith buys 8 packs for the parents at the Y4 maths workshop.

How many biscuits does she buy altogether?

Answer (1 mark): 144 biscuits

Division word problems in year 4 require pupils to be able to recall division facts for multiplication tables up to 12 x 12. Formal written method of division isn’t a requirement until Year 5 however, many schools choose to teach the formal method in Year 4. Pupils need to understand the concept of grouping and sharing and to understand the link between multiplication & division.

Division question 1

Sam has 28 friends coming to his birthday party.

Each child will receive a cupcake, which come in packs of 4.

How many packs of cupcakes will Sam need to buy?

Answer (1 mark): 7 packs

28 ÷ 4 = 7 

Division question 2

4 children raised £96 between them on a sponsored walk.

If they split the money evenly between the four of them, how much did each pupil raise?

Answer (1 mark): £24 each

96 ÷ 4 = 24

Division question 3

Ahmed is thinking of a number

He says, ‘when I divide my number by 12, the answer is 108.

What number was Ahmed thinking of?

Answer (1 mark): 9

108 ÷ 12 = 9

In Year 4, decimal and fraction problems involve increasingly harder fractions to calculate quantities and fractions to divide quantities, including non-unit fractions, where the answer is a whole number. Decimal word problems include measure and money problems involving fractions and decimals up to 2 decimal places.

Fraction and decimal question 1

Jamie has 18 sweets. 

He gives \frac{1}{6} of the sweets to his friend and keeps the rest himself.

How many sweets does Jamie have now?

Answer (1 mark): 15 sweets

\frac{1}{6} of 18 = 3

18 – 3 = 15

Fraction and decimal question 2

Jaxon collected 36 conkers. 

\frac{1}{4} of the conkers fell out of a hole in his bag, when he was walking home.

How many conkers did Jaxon have left, when he got home?

\frac{1}{4} of 36 = 9

36 – 9 = 37      or      \frac{3}{4} of 36 = 29 (3 x 9)

Fraction and decimal question 3

Sara ate \frac{3}{12} of a chocolate bar and gave \frac{2}{12} to her friend.

What fraction of the chocolate bar did she have left? 

 Answer (1 mark): \frac{7}{12}

In Year 4, time word problems include: converting from hours to minutes, minutes to seconds, years to months and weeks to days.

Time question 1 

A cake was put in the oven at 4:35pm and taken out at 4:57pm.

How long was the cake in the oven?

Answer (1 mark): 22 minutes

57-35 = 22 minutes

Using an number line: 

Time question 2

It took Evie 25 minutes to complete a page of number problems. 

If she started at 2:45pm. What time did she finish?

Answer (1 mark): 3:10pm

In Year 4, children are introduced to multi-step word problems requiring up to two steps. These problems cover a range of concepts, including the four operations, fractions, decimals and measures.

Third Space Learning’s online one-to-one tutoring frequently incorporates multi-step questions to test students’ knowledge and problem solving skills. Our personalised tutoring programme works to identify gaps in students’ learning, fill those gaps, reinforce students’ knowledge and build confidence.

Multi-step question 1

There are 6 handwriting pens in each pack.

A class has 30 children and each child needs 2 handwriting pens.

How many packs will the teacher need to buy?

Answer (2 marks): 10 packs of handwriting pens.

30 x 2 = 60

Multi-step question 2

 Sophie has £4.50.

She buy 3 books at a carboot sale, costing 50p, 65p and £1.20.

How much money does she have left?

Answer (2 marks): £2.15 left

Multi-step question 3

Abullah is thinking of a number.

He doubles the number and adds 7.

He gets an answer of 25. 

What was his original number?

Answer (2 marks): 9

Third Space Learning offers word problems for all primary year groups. Take a look at our word problems for year 3 , word problems for year 5 and word problems for year 6 . Our word problems span a range of topics such as ratio word problems and percentage word problems .

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Learn how tutors develop pupils’ maths fluency or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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Year 4 Maths Worksheets UK Hub Page

Welcome to our Year 4 Maths Worksheets Hub page.

Here you will find our selection of printable maths worksheets for Year 4 children, for your child will enjoy.

Take a look at our times table colouring pages, or maybe some of our fraction of shapes worksheets. Perhaps you would prefer our time worksheets, or learning about line or block symmetry?

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 4 Maths Learning

Here are some of the key learning objectives for the end of Year 4:

• know and use Place value up to 4 digits
• Compare and order numbers up to 10,000
• Counting on and back in 1s, 10s, 100s and 1,000s from different starting points
• Position numbers on a number line up to 10,000
• Round numbers to the nearest 10, 100 or 1000.
• Count backwards through zero and use negative numbers.
• add and subtract with up to 4 digits in columns
• add or subtract 1s, 10s, 100s or 1000s from a 4-digit number
• solve 2-step problems using addition and subtraction
• recall and use multiplication and division facts up to 12x12
• recognise and use factor pairs
• multiply 2-digit and 3-digit numbers by a 1-digit number
• solve problems using multiplication and division
• count up and down in hundredths
• recognise and use equivalent fractions
• add and subtract fractions with the same denominator
• solve fraction problems including with non-unit fractions
• write common fractions such halves and quarters as decimals;
• understand tenths and hundredths as decimals
• round decimals with 1dp to the nearest whole
• compare numbers with up to 2dp
• solve simple money and measure problems
• measure, compare and calculate using different measures
• find the area and perimeter of squares and rectangles
• convert between 12- and 24-hour clock
• convert between different units of measure
• identify and order acute and obtuse angles
• compare and classify 2D and 3D shapes according to their properties
• identify lines of symmetry in 2D shapes
• use coordinates in the first quadrant
• translate shapes up, down, left and right
• interpret and present data in bar graphs, pictograms and tabels
• solve 1-step and 2-step problems using data in tables, pictograms and graphs

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 4 is generally equivalent to 3rd Grade in the US.

On this page you will find link to our range of math worksheets for Year 4 pupils.

Quicklinks to Year 4 ...

• Online 3rd Grade Practice
• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions 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 4 numbers & place value worksheets.

Using these Year 4 maths worksheets will help your child to:

• learn their place value with 4 digit numbers;
• use place value models to understand how to combine thousands, hundreds, tens and ones;
• understand the value of each digit in a 4 digit number;
• learn to use standard and expanded form with 4 digit numbers.
• learn to read and write Roman numerals
• Place Value Models 4 Digits
• Place Value 4 Digit Numbers Worksheets (conversion)
• Ordering 4-Digit Numbers
• Ordering Negative Numbers -10 to 10
• Roman Numerals worksheets

Year 4 Counting & Sequences Worksheets

Each worksheets consists of a sequence which has been partially filled in. The rest of each sequence must be completed.

At this grade, the focus is on counting on and back in constant steps of a digit.

• Counting on and back by digits

Rounding, Inequalities, Multiples and Balancing Equations

Using these Year 4 Maths worksheets will help your child to:

• round a number to the nearest 10, 100 or 1000;
• use the > and < symbols correctly for inequalities;
• use multiples and apply them to solve problems.
• learn to balance math equations
• Rounding to the nearest 10 Worksheets
• Rounding to the nearest 100 worksheets
• Rounding to the nearest 1000 worksheets
• Rounding Inequalities Multiples Worksheets
• Balancing Math Equations

Year 4 Mental Math Zone

Here you will find a range of printable Year 4 mental maths quizzes for your child to enjoy.

Each quiz tests the children on a range of math 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 quiz!

• Year 4 Mental Maths Test sheets

Number Bonds Worksheets

The worksheets on this page will help to develop children's knowledge of numbers bonds to 20, 50 and 100.

There are a range of matching and wordsearches for children to enjoy whilst developing their number bond knowledge.

• Number Bonds to 50 and 100

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Year 4 Addition Worksheets

• learn to add numbers mentally to 100;
• add on 1, 10, 100 and 1000 to different numbers;
• learn to add 4 digit numbers in columns;
• Addition Facts Worksheets to 100+100
• 4-Digit Addition Worksheets
• Money Addition Worksheets (£ )

Year 4 Subtraction Worksheets (3rd Grade)

Using these subtraction worksheets will help your child to:

• learn to subtract numbers mentally to 100;
• learn to do 4 Digit column subtraction.
• Third Grade Subtraction Worksheets to 100
• 4 Digit Subtraction Worksheets
• Money Subtraction Worksheets UK (£ )

Year 4 Multiplication Worksheets

• learn their multiplication tables up to 12 x 12;
• understand and use different models of multiplication;
• solve a range of Year 4 Multiplication problems.

Online Times Table Practice

• Times Tables Practice Zone

Understanding Multiplication

• Understanding Multiplication Facts Worksheets to 10x10

Multiplication Table Worksheets

• Multiplication Table Worksheets - 2 3 4 5 10
• Multiplication Drill Sheets 6 7 8 9
• Fun Multiplication Worksheets to 10x10
• Times Table Worksheets Circles 1 to 12 tables
• Multiplying (integers) by 10 and 100 Worksheets
• Multiplying by Multiples of 10 and 100

2-Digit Multiplication

• 2 Digit Multiplication Worksheets

Multiplication Word Problems

• Year 4 Multiplication Word Problem Worksheets (3rd Grade)

Randomly Generated Multiplication Worksheets

Using our random worksheet generator, you can:

• Choose the tables you want to test;
• Choose how big you want the numbers to go - up to 5 times, 10 times or bigger!
• Choose how many questions per page.
• Times Tables Worksheets (randomly generated)
• Free Multiplication Worksheets (randomly generated)
• Single Digit Multiplication Worksheets Generator
• Multiplication & Division Worksheets (randomly generated)

Year 4 Division Worksheets

Using these Year 4 Maths worksheets will help your child learn to:

• understand how division and multiplication relate to one another;
• know their division facts to 10x10;
• begin to learn 2-digit by 1-digit long division.
• Division Facts to 10x10 Worksheets
• Divding by Multiples of 10 and 100 Worksheets
• Year 4 Long Division Worksheets (3rd grade)
• Division Facts Worksheets (randomly generated)

Using the 3rd Grade Math worksheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• develop their knowledge of fractions;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

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

• Year 4 Math Problems (3rd Grade)

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

• Year 4 Math Word Problems for kids (3rd Grade)

These sheets involve solving 3-digit and 4-digit addition word problems.

• Addition Word Problems 3rd Grade (3- and 4-digits)

These sheets involve solving 3-digit and 4-digit subtraction problems.

• Subtraction Word Problems 3rd Grade

These sheets involve solving a range of multiplciation problems.

These sheets involve solving a range of division problems.

• Division Worksheets Grade 3 Word Problems

Year 4 Fraction Worksheets

Using these sheets will help your child to:

• understand what fractions are;
• relate fractions to everyday objects and quantities;
• place different fractions on a number line;
• shade in different fractions of a shapes;
• work out unit fractions of numbers.

• What is a Mixed Number Support page
• Finding Fractions - Fraction Spotting
• Fractions of Shapes Worksheets
• Unit Fraction of Numbers
• Halves and Quarters (up to 100)
• Fraction Number Line Sheets
• Adding Fractions with Like Denominators
• Subtracting Fractions with like denominators
• Fraction Riddles for kids (easier)

Year 4 Geometry Worksheets

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Use reflective symmetry to reflect shapes in a mirror line.
• recognise and identify right angles and lines of symmetry;
• recognise and identify parallel lines;
• identify the faces, edges, vertices and nets of 3d shapes;
• Year 4 Free Printable Geometry Worksheets
• Block Symmetry Worksheet
• Line Symmetry Worksheets
• Symmetry Activities
• Geometry Nets Information and Worksheets

Measurement Zone, including Time & Money

Year 4 measurement worksheets.

• Year 4 Measurement Worksheets - reading scales
• Metric Conversion Worksheets

Year 4 Money Worksheets

Using challenges is a great way to get kids to use their thinking skills and extend learning by applying the knowledge they have.

• count a range of coins up to £10
• compare money amounts
• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.
• Year 4 Money Challenges
• Column Addition Money Worksheets (UK)
• Column Subtraction Money Worksheets (UK)

Area and Perimeter Worksheets

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

Time Worksheets

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

• tell the time to the nearest 5 minutes;
• become familiar with both digital and analogue times;
• use the words 'past' and 'to' to describe the time correctly.
• add and subtract time intervals from times and work out time intervals.
• Add and Subtract Time Worksheets
• Elapsed Time Worksheets
• Printable Time Worksheets - Time Puzzles (easier)
• 24 Hour Clock Conversion Worksheets

On this page there are a selection of bar and picture graphs, including bar graphs with real-life data such as tree heights.

• Year 4 Bar Graph Worksheets (3rd grade)
• Year 4 Venn Diagram Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 4 maths games.

The following games involve different Year 4 Maths activities which you and your child can enjoy together.

• Year 4 / Third Grade Math Games

Year 4 Math Puzzles

The puzzles will help your child practice and apply their addition, subtraction and multiplication facts as well as developing their thinking and reasoning skills in a fun and engaging way.

• Year 4 Math Puzzle Worksheets (3rd Grade)

Math Salamanders Year 4 Maths Games Ebook

Our Year 4 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 4 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!

• How to Print support

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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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Stormy Daniels Takes the Stand

The porn star testified for eight hours at donald trump’s hush-money trial. this is how it went..

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Edited by Lexie Diao

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Listen and follow The Daily Apple Podcasts | Spotify | Amazon Music | YouTube

This episode contains descriptions of an alleged sexual liaison.

What happened when Stormy Daniels took the stand for eight hours in the first criminal trial of former President Donald J. Trump?

Jonah Bromwich, one of the lead reporters covering the trial for The Times, was in the room.

On today’s episode

Jonah E. Bromwich , who covers criminal justice in New York for The New York Times.

Background reading

In a second day of cross-examination, Stormy Daniels resisted the implication she had tried to shake down Donald J. Trump by selling her story of a sexual liaison.

Here are six takeaways from Ms. Daniels’s earlier testimony.

There are a lot of ways to listen to The Daily. Here’s how.

We aim to make transcripts available the next workday after an episode’s publication. You can find them at the top of the page.

The Daily is made by Rachel Quester, Lynsea Garrison, Clare Toeniskoetter, Paige Cowett, Michael Simon Johnson, Brad Fisher, Chris Wood, Jessica Cheung, Stella Tan, Alexandra Leigh Young, Lisa Chow, Eric Krupke, Marc Georges, Luke Vander Ploeg, M.J. Davis Lin, Dan Powell, Sydney Harper, Mike Benoist, Liz O. Baylen, Asthaa Chaturvedi, Rachelle Bonja, Diana Nguyen, Marion Lozano, Corey Schreppel, Rob Szypko, Elisheba Ittoop, Mooj Zadie, Patricia Willens, Rowan Niemisto, Jody Becker, Rikki Novetsky, John Ketchum, Nina Feldman, Will Reid, Carlos Prieto, Ben Calhoun, Susan Lee, Lexie Diao, Mary Wilson, Alex Stern, Dan Farrell, Sophia Lanman, Shannon Lin, Diane Wong, Devon Taylor, Alyssa Moxley, Summer Thomad, Olivia Natt, Daniel Ramirez and Brendan Klinkenberg.

Our theme music is by Jim Brunberg and Ben Landsverk of Wonderly. Special thanks to Sam Dolnick, Paula Szuchman, Lisa Tobin, Larissa Anderson, Julia Simon, Sofia Milan, Mahima Chablani, Elizabeth Davis-Moorer, Jeffrey Miranda, Renan Borelli, Maddy Masiello, Isabella Anderson and Nina Lassam.

Jonah E. Bromwich covers criminal justice in New York, with a focus on the Manhattan district attorney’s office and state criminal courts in Manhattan. More about Jonah E. Bromwich

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Length word problem worksheets (customary and metric).

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How do you help patients who show up in the ER 100 times a year?

Leslie Walker

Dan Gorenstein

The hope was that bringing many other services to people with high needs would stabilize their health problems. While the strategy has succeeded sometimes, it hasn't saved money. Douglas Sacha/Getty Images hide caption

The hope was that bringing many other services to people with high needs would stabilize their health problems. While the strategy has succeeded sometimes, it hasn't saved money.

Larry Moore, of Camden, N.J, defied the odds — he snatched his life back from a spiral of destruction. The question is: how?

For more than two years straight, Moore was sick, homeless and close-to-death drunk — on mouthwash, cologne, anything with alcohol, he says. He landed in the hospital 70 times between the fall of 2014 and the summer of 2017.

"I lived in the emergency room," the 56-year-old remembers. "They knew my name." Things got so bad, Moore would wait for the ER nurses to turn their backs so he could grab their hand sanitizer and drink it in the hospital bathroom.

"That's addiction," he says.

Then, in early 2018, something clicked, and turned Moore around. Today, he's more than five-years sober with his own apartment, and he has only needed the ER a handful of times since 2020. He's active in his church and building new relationships with his family.

Moore largely credits the Camden Coalition , a team of nurses, social workers and care coordinators for his transformation. The nonprofit organization seeks out health care's toughest patients — people whose medical and social problems combine to land them in the ER dozens of times a year — and wraps them in a quilt of medical care and social services. For Moore, that meant getting him medical attention, addiction treatment and — this was key for him — a permanent place to live.

"The Camden Coalition, they came and found me because I was really lost," Moore says. "They saved my life."

For two decades, hospitals, health insurers and state Medicaid programs across the country have yearned for a way to transform the health of people like Moore as reliably as a pill lowers cholesterol or an inhaler clears the lungs. In theory, regularly preventing even a few $10,000-hospital-stays a year for these costly repeat customers could both improve the health of marginalized people and save big dollars.

Larry Moore (left) in 2020 with staff members from the Camden Coalition. The housing and addiction treatment the organization helped him get has been life saving. Dan Gorenstein/Tradeoffs hide caption

Larry Moore (left) in 2020 with staff members from the Camden Coalition. The housing and addiction treatment the organization helped him get has been life saving.

But breaking this expensive cycle — particularly for patients whose lives are complicated by social problems like poverty and homelessness — has proved much harder than many health care leaders had hoped. For example, a pair of influential studies published in 2020 and 2023 found that the Coalition's pioneering approach of marrying medical and social services failed to reduce either ER visits or hospital readmissions . Larry Moore is the outlier, not the rule.

"The idea that someone should go to the emergency room 100 times in a year is a sign of deep, deep system dysfunction," says Jeff Brenner, the primary care physician who founded and led the Camden Coalition from 2002 until 2017. "It should be fixable. We're clearly still struggling."

Yet, Brenner and others on the frontlines of one of health care's toughest, priciest problems say they know a lot more today about what works and what misses the mark. Here are four lessons they've learned:

Lesson 1: Each patient needs a tailored, sustained plan. Not a quick fix

The Camden Coalition originally believed that just a few months of extra medical and social support would be enough to reduce the cycle of expensive hospital readmissions. But a 2020 study published in the New England Journal of Medicine found that patients who got about 90 days of help from the Coalition were just as likely to end up back in the hospital as those who did not.

That's because, frontline organizations now realize, in some cases this wraparound approach takes more time to work than early pioneers expected.

"That 80th ER visit may be the moment at which the person feels like they can finally trust us, and they're ready to engage," says Amy Boutwell, president of Collaborative Healthcare Strategies , a firm that helps health systems reduce hospital readmissions. "We do not give up."

Frontline groups have also learned their services must be more targeted, says Allison Hamblin , who heads the nonprofit Center for Health Care Strategies, which helps state Medicaid agencies implement new programs. Organizations have begun to tailor their playbooks so the person with uncontrolled schizophrenia and the person battling addiction receive different sets of services.

Larry Moore, for example, has done fine with a light touch from the Coalition after they helped him secure stable housing. But other clients, like 41-year-old Arthur Brown, who struggles to stay on top of his Type 1 diabetes, need more sustained support. After several years, Coalition community health worker Dottie Scott still attends doctor's visits with Brown and regularly reminds him to take his medications and eat healthy meals.

Aaron Truchil, the Coalition's senior analytics director, likens this shift in treatment to the evolution of cancer care, when researchers realized that what looked like one disease was actually many and each required an individualized treatment.

"We don't yet have treatments for every segment of patient," Truchil says. "But that's where the work ahead lies."

Lesson 2: Invest more in the social safety net

Another expensive truth that this field has helped highlight: America's social safety net is frayed, at best.

The Coalition's original model hinged on the theory that navigating people to existing resources like primary care clinics and shelters would be enough to improve a person's health and simultaneously drive down health spending.

Over the years, some studies have found this kind of coordination can improve people's access to medical care , but fails to stabilize their lives enough to keep them out of the hospital. One reason: People frequently admitted to the hospital often have profound, urgent needs for an array of social services that outstrip local resources.

As a result of this early work, Hamblin says, state and federal officials — and even private insurers — now see social issues like a lack of housing as health problems, and are stepping in to fix them. Health care giants like insurers UnitedHealthcare and Aetna have committed hundreds of millions of dollars to build affordable housing, and private Medicare plans have boosted social services , too. Meanwhile, some states, including New York and California, are earmarking billions of Medicaid dollars to improve their members' social situations, from removing mold in apartments to delivering meals and paying people's rent .

Researchers caution that the evidence so far on the health returns of more socially focused investments is mixed — further proof, they say, that more studies are needed and there's no single solution that works for every patient.

Some health care experts also still question whether doctors and insurers are best positioned to lead these investments, or if policymakers and the social service sector should drive this work instead.

Lesson 3: Recent boom in new programs demands better coordination

This spike in spending has led to a wave of new organizations clamoring to serve this small but complex population, which Hamblin says can create waste in the system and confusion for patients.

"All of these barriers to entry and handoffs don't work for traumatized people," former Coalition CEO Brenner says. "They're now having to form new, trusting relationships with multiple different groups of people."

Streamlining more services under a single organization's roof is one possible solution. Evidence of that trend can be seen in the nationwide growth of clinics called Certified Community Behavioral Health Clinics, These clinics deliver mental health care, addiction treatment and even some primary care in one place.

Brenner, who now serves as CEO of the Jewish Board, a large New York City-based social service agency with a budget of more than $200 million a year, is embracing this integration trend. He says his agency is building out four of that newer type of behavioral health clinic, and offering clients housing on top of addiction treatment and mental health care.

Other groups, including the Camden Coalition, say simply getting neighboring care providers to talk to one another can make all the difference. Coalition head Kathleen Noonan estimates the organization now spends just 25% of its time on direct service work and the rest on quarterbacking, helping to coordinate and improve what she calls the "local ecosystem" of providers.

Lesson 4: Rethink your definition of success, and keep going

Twenty years ago, the goal of the Camden Coalition was to help their medically complex patients stay out of the E.R. and out of the hospital — provide better health care for less cost. Noonan, who took over from Jeff Brenner as CEO of the Coalition, says they've made progress in providing better care, at least in some cases — and that's a success. Saving money has been tougher.

"We certainly don't have quick dollars to save," Noonan says. "We still believe that there's tons of waste and use of the [E.R.] that could be reduced ... but it's going to take a lot longer."

Still, she and others in her field do see a path forward. As they focus on improving their patients' mental and physical health by developing and delivering the right mix of interventions in "the right dose," they believe the cost savings may ultimately follow, as they did in Larry Moore's case.

The stakes are high. Today, homelessness and addiction combined cost the U.S. health care system north of $20 billion a year, wreaking havoc on millions of Americans. As health care delivery has evolved in the last two decades, the question is no longer whether to address people's social needs, but how best to do that.

This story comes from the health policy podcast Tradeoffs . Dan Gorenstein is Tradeoffs' executive editor, and Leslie Walker is a senior reporter/producer for the show, where a version of this story first appeared. Tradeoffs' weekly newsletter brings more reporting on health care in America to your inbox.

• Camden, N.J.
• health costs
• Emergency Room
• emergency room frequent flier