Word Problems at School (1) (Paul Cockcroft) PDF. If you're looking for an engaging division lesson plan, click here. These questions are differentiated and marked with one, two or three stars, depending on their difficulty. 3x = 9,900 x = 3,300 Each order has 3,300 pages. Resource type: Worksheet/Activity. Multiplication and Division Word Problems 1. You can also customize them using the generator below. help teachers assess a student's understanding. division: up to 4 digit ÷ 2 digit. Long division with 1-digit divisors, with remainders. Explore more than 340 "Year 6 Division Word Problems" resources for teachers, parents and pupils as well as related resources on "Division Word Problems Year 6". Write a division of a 3-digit number by 6 where the answer contains the fraction 1/6. Each problem sheet is based on an interesting theme such as parties or the seaside. If 22 people can sit in each row then how many rows are there Division Worksheets. Explore more than 340 "Division Word Problems Year 6" resources for teachers, parents and pupils as well as related resources on "Year 6 Division Word Problems". Dividing by whole tens or hundreds, with remainders. Mixed Multiplication and Division Word Problems 2. Jul 22, 2018 · Word Problem Worksheets on Long Multiplication and Divison for Year 6. Multiplication and Division Word Problems Task Cards (2-Digit by 1-Digit) PDF Slide Year s 4 - 5. Easy Dividing by 2, 5, 10, 3, 4 and 8 using times tables knowledge. Work Space He puts the same number of marbles in each bag. Sheets 6 and 7 are the most complicated and involve division problems with remainders. When teaching the 'chunking' method of division, I could not find any decent word problems for my class, so I had to make some up. Word problems highlight the real-world value of division skills, and these worksheets invite students to tackle problems using a variety of strategies. Preview images of the first and second (if there is one) pages are shown. Key multiplication facts given. Personal stereo for $21. 768 5) 5. Download PDF.  Differentiated resources like these multiplication and These grade 6 math worksheets are flexible, easy to use, and the PDF versions can be accessed offline. Expected Solve word problems when dividing fractions by integers where the numerator is up to the fifth multiple of the divisor. 7. You'll find addition word problems, subtraction word problems, multiplication word problems and division word problems, all starting with simple easy-to-solve questions that build up to more complex skills Division Word Problems 1. If each person paid $13 then what was the total bill? $52 Math Word Problems worksheets for Year 6 are an essential resource for teachers who want to help their students develop strong problem-solving skills and a deep understanding of mathematical concepts. png. Division Problems (Simon Howard) PDF. The size of the PDF file is 29771 bytes. If Wendy puts the same number of books on each shelf, how many will be on each shelf? Answer: 6 This resource is suitable for the White Rose Maths Scheme of Learning, covering Autumn Term Block 2 (Addition, subtraction, multiplication and division), Step 12 (Long division with remainders). Each word problem consists of real-life scenarios, using objects like animals, food and vehicles. 67 6) 8. 11 questions to develop reasoning and problem solving skills. To download any of the division word problems worksheets below This division word problems resource is jampacked full of challenge cards which vary from one-step division word problems with and without remainders, two-step division word problems and multi-step division word problems. Solving Problems (Simon Howard) PDF. It requires children to use long division methods to work out the answer to each word problem. 5-a-day Workbooks Nov 4, 2017 · Students have to pull relevant information out of a problem, solve the equation, and think about how the answer makes sense in relation to the problem; show students a more creative side of math. The problems challenge year 3 children to use their knowledge of the 3, 4 and 8 multiplication tables to find the answers. Answers. Before representing in fraction, children should perform addition or subtraction to solve Answers. Here you will find a selection of 4th grade long division worksheets which are designed to help your child learn to divide 3- and 4-digit numbers by a single digit. . Students can use these task cards to practise their division skills when presented in word problem format. Cristina will have 3 croissants left to eat herself. In this worksheet, children will complete the multi-step calculations provided, before writing their own word problems and putting the numbers in a sensible context. A great way to test children on their division knowledge is to use this set of differentiated worksheets which feature different long division word problems. 11 KB. 5. Apr 6, 2018 · A great way to test children on their division knowledge is to use this set of differentiated worksheets which feature different long division word problems. Children cut out a question and stick into their books then answer underneath. Or, if you're looking to deepen children's These word problems worksheets will produce ten problems per worksheet. She has a bookshelf with 6 shelves on it. (example: 22 x 8) 3rd and 4th Grades. 60 for a school trip. A set of 7 group problems for children to work on together in mixed ability groups. This differentiated set of math worksheets includes 3 levels of multiplication and division word problems of varying difficulty. One-Step Equation Word Problems Date_____ Period____ 1) Lisa is cooking muffins. How many does each child get? Aug 6, 2020 · Division word problems- differentiated. 2) Melissa purchased $39. division word problems division word problems year 5 division worded problems division Real Life Problems (Richard Briar) PDF. Division Word Problems Worksheet - 3. Children can use whiteboards to help them work out their month of the school year. 20 3) 350 ÷ 3 = 116. 3 x 4 = 12 There are 12 maintenance staff. The Mystery of the Missing Treasure Maths Mystery Game – Ages 10-12 3 reviews. The recipe calls for 7 cups of sugar. 30 ÷ 5 = 6 She prepared 6 pitchers of lemonade. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade. File previews. How many milk boxes did he deliver in a week? 2. Sophia. Division Word Problems worksheets for Grade 6 are an essential resource for teachers looking to challenge their students and enhance their mathematical skills. If she plans to give all of them an equal number of stickers, how many stickers will each Differentiation: Beginner Dividing by 2, 5 and 10 using times tables knowledge. In a year, a farmer sells 4911 sacks. Find the perimeter if 6 units and w 3 units. Each child pays £75. 22 ÷ 5 = 4 remainder 2 2 salespersons are responsible for 5 clients.   Children should find the key information in the word problems and use long division to calculate their answers in this stretch worksheet. Division Worksheets Grade 3. They must pay attention to the context of the question when considering how to interpret remainders. Worksheet. Complete with eight tricky multi-step word problems, this teacher-made worksheet is a quick and easy way of reinforcing your teaching and gauging the progress of your students. In order to solve the word problem, the remainder needs to be rounded up or down, depending on the context. PERIMETER Another formula for perimeter is 2( w). subtraction: up to 5 digits; up to 2 decimal places. Prickly Problems (Mark Laird) PDF. How many can you buy with £156? 4. docx, 214. Multi-Step Word Problem Cards (Division and Multiplication) - Year 5-6. PERIMETER The perimeter of a rectangle can be w found using the formula 2 2w, where represents the length and w represents the width. How many more cups does she need to put in? 5 2) At a restaurant, Mike and his three friends decided to divide the bill evenly. These are more general versions of the Girl Scout Cookie worksheets described in the previous section. Find the perimeter of the rectangle in Exercise 3 using this formula. Worksheet #5 Worksheet #6. Division Word Problems Worksheet - 4. In her problem she subtracts the first answer from the second, when she should subtract the second from the first. Division Word Problems Worksheet - 2. They are excellent for using over a number of KS2 maths lessons to increase children’s understanding and knowledge of Use this set of Division with Remainders word problems challenge cards with answers to reinforce your teaching and test your students' knowledge on dividing with remainders. 3-digit by 2-digit Division. ***----- SKILL 1: PRACTICE SET #1 Name the place value of the underlined digit 1) 3. The divisor is a number up to and including 12 and the solution has one decimal place. Greater Depth Solve word problems when This worksheet consists of Multiplication and Division word problems on the 2, 5 and 10 times tables to help students learn and practise their skills. 80 ÷ 20 = 4 They were able to fill 4 sacks of wood. 45 2) 56. In this page, you will discover why math word problems are important for 6th-graders and simple methods of breaking down complex word problems into manageable steps. 17 ÷ 7 = 2 remainder 3 Each guest will have 2 croissants. Questions 3, 6 and 9 (Problem Solving) Developing Solve word problems when dividing fractions by integers where the numerator is the first or second multiple of the divisor. 420 ÷ 7 = 60 They need 60 packets. Treat the decimal part as its own number and add the place value of the final digit. month of the school year. 9a. The Happy Hundred Word Problems Here you’ll find 100 word problems that focus on math concepts specific to sixth grade. These word problems will help your pupils with mastery of short division through problem solving and reasoning. 2 sheets of division word problems to be solved using the bus stop method. (example: 340 x 7) 3rd through 5th Grades. First sheet is 2 digit and second is 3 digits. This page has a great collection of word problems that provide a gentle introduction to word problems for all four basic math operations. Divide 3666 by 3, 4, 5, 6 and 8 and write exact answers with a fraction part as necessary. Answers are included. 37 x 60 = 2,220 Each machine can print 2,220 pages per hour. 67kg = 117kg rounded to nearest kg 4) £1100 ÷ 8 = 137. Make sure to draw pictures to help you solve the problems. Year 6 Multiplication and Division. This interactive worksheet includes nine word problems, which are here to develop children's multiplication and division skills. Help students practise their multiplication and division skills with these word problems. This collection of 3-digit by 2-digit division worksheets features PDFs to find the quotient and remainder. Practicing the operations separately is a good start for each operation, but an important word problem skill is also figuring out which math operation is needed to solve a specific question. Example 1: 3 x (4 + 5) - 6 ÷ 2. Create an unlimited supply of worksheets for long division (grades 4-6), including with 2-digit and 3-digit divisors. Division Problems (Clare Clarke) PDF. The resource includes questions such as:'A cinema, when full, holds 968 people. The problems are arranged by mathematical standards. Aimed at Year 2 Secure/Year 3 Emerging. pdf, 147. A word problem usually includes a question or a scenario that needs to be solved using one of the four maths operations like addition, subtraction Printable PDF 106. The 3-digit by 1-digit division worksheets comprise a variety of standard division problems and division word problems involving remainders and no remainders, divide and check the answers as well. PDF Slide Year s 5 - 7. Help your pupils apply their understanding of division to an unfamiliar context using these worded problems. 12 KB. 5 KB. Division word problems with remainders worksheet test common core mathLong division word problems differentiated worksheets . Does Ellen have enough money to buy all three items if she has $90. multiplication: up to 4 digit x 2 digit. Anthony delivers 12 milk boxes 4 times a week. 6. Sacks of potatoes contain an average of 95 potatoes. Addition Subtraction Multiplication Division Worksheet 5:2A. Word problems require us to use our maths skills to solve real-life scenarios or situations. This exercise sheet on word problems on division can be practiced by the students to get more ideas to solve division problems. A great way to build confidence and see how maths can be applied outside the classroom. The solution has two decimal places. This division word problems resource is jampacked full of challenge cards which vary from one-step division word problems with and without remainders, two-step division word problems and multi-step division word problems. He puts them into 4 bags. 33 ÷ 4 = 8 remainder 1 Each of Anna’s four friends will receive 8 blueberry cookies.  The worksheet is jam packed with topics that are essential to the completion of the Australian Curriculum. pdf Use short division to solve word problems and interpret remainders appropriately for the context. A sheet of three-digit by one-digit multiplication word problems. View PDF. Jan 22, 2015 · Word problems using Division. This year, she decided to give away part of her collection as it was taking too much space in her room. Reasoning and Problem Solving Word All Decimal Operations with Word Problems. There are sections for Number and Operations, Algebra, Geometry, Apr 18, 2023 · Division Word Problems: Basic (Grades 3-4) Division Word Problems: Intermediate (Grades 3-5) Long Division Word Problems: Advanced (Grades 3-5) Each worksheet is available as a PDF download that is printable and also easy to share on online learning platforms like Google Classroom. 745 Write the decimal is word form. From drawing arrays and repeated subtraction to long division and K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. 10 Q. These worksheets provide a variety of real-life scenarios that require students to apply their understanding of division concepts and strategies to solve problems. The size of the PDF file is 55615 bytes. A stretch version of this worksheet can be found here. The problems will involve all four operations. Nevertheless, we will introduce you to Mathskills4kids. Using these Year 2 maths worksheets will help your child to: Add and subtract with numbers to 12; order numbers to 100; solve a range of math problems. +/- Word Problems [add your own numbers] (4 sheets) (Barbara Saleh) PDF. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form. Great as an opening or finishing activity with your KS2 maths classes. Nine of her closest friends like stickers. Expected Choose the correct digits to complete the number sentence where the divisor is provided. Decimal Word Problem Worksheets. Questions 3, 6 and 9 (Problem Solving) Developing Complete the number sentence with three given digits where the divisor is provided. Long division with 1-digit divisors, no remainders. These great worksheets include 9 word-based short division questions for students to tackle. Here they are, with answers, for anyone else in the same situation. 3. Similar: Free Printable Fraction Word Problems Worksheets for 6th Grade. Several two-digit by one-digit multiplication word problems. Encompassing division exercises involving one, two, three and four-digit . Complete with eight tricky multistep word problems, this teacher-made worksheet is a quick and easy way of reinforcing your teaching Toss off solutions to our pdf worksheets on dividing fractions word problems to foster a sense of excellence in identifying the dividend and the divisor and solving word problems on fraction division. Show more. docx, 407. 1) There are 50 children at an after school football club. The image and word problem must match the equation. Tricky Dividing by all numbers up to 12 using times tables knowledge. Extensive decimal word problems are presented in these sets of worksheets, which require the learner to perform addition, subtraction, multiplication, and division operations. Questions. A DIY chain orders 52 crates for all its stores. Using these sheets will help you to: The remainders create an additional decimal place. 95. In the other options it is 4. Division Word Problems 1. This worksheet contains 10 division questions of ascending difficulty plus one challenge question. Here are four multiple-step word problems that will require a combination of addition, subtraction, multiplication, or division. Check Details. Multiplication Word Problems: 3-digit by 1 digit. Great as an opening or finishing activity. How many tables are needed to seat 237 people when the tables seat 11 people each? 2. Age range: 7-11. This division word problems resource pack is a must-have for teachers and children who are working on this area of Maths. There are 43 children in year 6. Here are some examples of how to apply the order of operations to solve mixed operation problems. 6 children share 12 chocolates. 6th grade math division worksheets also include answer keys that can be referenced by students when they need to double check their solution. If there are more versions of this worksheet, the other versions will be available Grade 5 division worksheets. Twinkl Australia 3 - 4 Australian Curriculum Resources Mathematics Number Multiplication and Division Division Word Problems. Fadhbanna Focal le Roinnt agus Iolrú x3 x4 x8 Bileog Oibre. Both versions feature 6 x tricky multi-step word problems that Test Your Class with These Maths Word Problems for Year 6. Answers included. He puts 8 marbles into each gift bag. 8a. Expected Choose the correct digits to complete the number sentence where These basic division worksheets should be your obvious choice if you intend to equip you grade 3 and grade 4 kids with adequate practice in dividing whole numbers within 100. There are sections for Number and Operations, Algebra, Geometry, Division With Remainders: Word Problems 6. How many potatoes does she sell in one year? 8.  There's even an editable If 56 wood carvings were displayed, write an equation to determine how many shelves were filled with carvings. Challenge Year 6 children to choose the correct operations and solve these real-life puzzles. Multiple Step, Advanced #3. Become a member to access additional content and skip ads. com , an outstanding website with thousands of common types of grade 6 math word problems and a step-by-step approach to ***HINTS: The decimal point is represented by the word AND. Use this set of division word problems challenge cards to reinforce your teaching and test your students' knowledge. 3,800 ÷ 5 = 760 Each machine will print 760 pages. Some questions ask students to write the multiplication sentence which describes the situation in the problem. An answer sheet is included. Enhance learning and problem-solving skills with Quizizz's resources. Divide 3 or 4-digit numbers by 1-digit numbers mentally. The student will be challenged to read the problem carefully and think about the situation in order to know which operation to use. The interactive pdf resource is very interesting for the child to Presented here are the fraction pdf worksheets based on real-life scenarios. DVDs cost £5 each. 5. The worksheets in this section are all about division word problems where the quotients include remainders. 20. 140 ÷ 7 = 20 Joline and the junior ranger visited 20 stations. Division Word Problems Worksheet - 1. 1) Ellen wanted to buy the following items: A DVD player for $49. This batch of printable decimal word problem worksheets is curated for students of grade 3 through grade 7. Google Slides 18 Multi-Step Word Problem Cards (Division and Multiplication) - Year 5-6 Year 5 and Year 6 4 mixed operations word problem Single Digit Long Division. Instant access to inspirational lesson plans, schemes of work, assessment, interactive activities Find the answers to the four word problems. 2) Six friends go out for a meal. These problems are a common, and slightly more complex variation of many of the division Sheets 3 to 5 involve understanding and working out division word problems that require a little more reasoning and thinking about. 10 ÷ 5 = 2 Her parents and siblings will each have 2 cups of tea. Tags in this resource: Australian-$5-Note. Various possible answers, for example: 3n + 5m = 21. This printable PDF resource comes with 8 challenging word problems. How many nails are in the 52 crates? 9. Equipped with answer key, our worksheets get children in grade 5, grade 6, and grade 7 rattling their way through the division of fractions and Aug 28, 2019 · Next: Multiply and Dividing by 10, 100, 1000 etc Practice Questions GCSE Revision Cards. Subject: Maths. The above video may be from a third-party source. Download the set. The solution has one decimal place.  Differentiated resources like these multiplication and These math worksheets should be practiced regularly and are free to download in PDF formats. Get a vivid picture of the division vocabulary and steps involved in solving division problems from the printable charts, and solve practice problems involving quotients Think! These math word problems may require multiplication or division to solve. The worksheets can be made in html or PDF format — both are easy to print. Answers to the calculations are provided. Children should find the key information in the word problems and use long division to calculate their answers in this worksheet. Represent and Simplify the Fractions: Type 2. 4. The meal costs £43. You can also create your own long division worksheets with money amounts from up to $10 by a single digit to up to $100,000 by 2-digits. Option B, because the unknown number is 4. The worksheets on this page are divided into three major sections: Single-digit divisor. These multi-step word problems are perfect for Year 6 SATs prep. Make sure your Year 6 pupils are ready for SATs season using this bumper 2-for-1 pack of multi-step word problems. Boost children’s math skills with these worksheets featuring division word problems with one-digit divisors. The teacher gives out 423 sweets. 789 3) 332. The sheets are graded so that the easier ones are at the top. Y5-6 Solving word problems - addition and subtraction Two step word problems. year 2 division division division year 2 division year 3 division word problems year 2 Here you will find a range of math word problems aimed at Year 2 level. She has already put in 2 cups. Interactive visual simulations help to keep kids interested and improve their understanding of the topic. 33 KB. Math Division Word Problems: Discover an extensive collection of free printable worksheets for Year 7 students, designed to enhance their understanding and mastery of division concepts in real-life scenarios. A DVD holder for $19. 1. This generator will generate your own worksheets from 2-digits by 1-digit to 5-digits by 2-digits. Each example has two steps. 222 ÷ 6 = 37 Each machine can print 37 pages per minute. Aimed at Year 2 Mastery/Year 3 Secure/Year 4 Emerging. Plus Plan. Perfect for tailoring the learning process to children of Multiplication and Division: Do these operations from left to right. Division word problems Grade 3 Math Word Problems Worksheet Haley loves to collect things. There is one cookie leftover. Sign in to leave a review. . Key Stage: Key Stage 2. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. How many complete teams can be made? . Twinkl Australia F - 2 Australian Curriculum Resources Mathematics Number Multiplication and Division Division. James has 28 marbles. Includes remainders. It takes him 15 minutes to completely walk 1 time around. Free worksheets are included.  These worksheets are ideal for years 3, 4, 5 and 6 classes and are a perfect resource for mixed-ability classes. Adding Two Mixed Numbers Word Problems These fractions word problems worksheets will produce problems involving adding two mixed numbers. Write a similar division where the answer contains the fraction 5/6. Students will need to use reasoning skills to determine whether they should add, subtract, divide, or multiply. For example Useful interactive games to teach the skills needed for solving division word problems: Answers: 1) 50 ÷ 6 = 8 r 2, so 8 complete teams 2) 43. Museum Trip (Damian Pye) PDF. The lesson pack has been created by teachers to support the year 2 national curriculum aim 'Solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts' and the Apr 26, 2017 · Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Fraction Word Problems: Discover a collection of free printable Math worksheets for Grade 6 students, focusing on solving real-life scenarios involving fractions. 5th - 7th. Division worksheets grade 3. 2. Show your working out in your book. If Wendy puts the same number of books on each shelf, how many will be on each shelf? Answer: 6 2. A crate of screws contains 5193 nails. Apr 28, 2024 · Long Division and Multiplication Word Problems (Year 6) | Teaching. It is ideal for helping your Year 3 students practise using their multiplication and division skills. Our Division Word Problems Resource Pack includes a PowerPoint and 4 sets of challenge cards to cover Word Problems Year 6 Division. Fraction Division Word Problems. They’re all written so students will find them interesting and fun. These sheets involve: addition: up to 5 digits and with 2 or 3 addends; up to 2 decimal places. Our Year 3 Maths Multiplication and Division Workbook is another great way of reinforcing your teaching in this area. 7 4) 17. For another division challenge, try our Mixed Multiplication and Division Test Up to 10x Tables Test. A standard version of this worksheet can be found here. 4th and 5th Grades. Addition and Subtraction: Do these operations from left to right. Long Division and Multiplication Word Problems (Year 6 In these word problem worksheets all multiplicands are single digit numbers and all products are less than 20, so the computations are kept simple and the concepts emphasized. These worksheets provide a variety of engaging and challenging problems that require students to apply their knowledge of math in real-world A word problem is a kind of maths problem that is presented in words instead of just numbers. They are excellent for using over a number of KS2 maths lessons to increase children’s understanding and knowledge of Create an unlimited supply of worksheets for long division (grades 4-6), including with 2-digit and 3-digit divisors. Wendy has 36 books. How many gifts bags does he fill? 3. year 7 Division Word Problems. Oct 1, 2023 · Short Division Word Problems. The worksheets in this section combine both multiplication word problems and division word problems on Apr 3, 2022 · Multiplication and Division Word Problems – Independent Worksheet Complete all the problems. Suitable for Year 6 and above. These differentiated activity sheets are from our year 2 PlanIt Maths lesson pack Solving Division Problems. Find included a variety of teaching and learning materials that will stand you in good stead for lessons on this topic. If 22 people can sit in each row then how many rows are there Oct 6, 2017 · Use the buttons below to print, open, or download the PDF version of the Division Word Problems with Division Facts from 5 to 12 (A) math worksheet. Take a look at our long division problems worksheet generators. 20 ÷ 6 = £7. Free 5th grade word problem worksheets, including adding, subtracting, multiplying and dividing fraction word problems, decimal word problems, GCF and LCM word problems and You might also like this Division Word Problems Resource Pack. doc, 30. Division with remainder 1-100, 1-1,000. This worksheet with multiplication and division word problems for Year 3 students is based around the 3x, 4x and 8x tables. 46 in groceries at a store. Solution: First, do the calculation inside the parentheses: 4 + 5 = 9 Use this set of 4 challenge cards to reinforce your teaching on maths and test your students' knowledge. They are put into 6-a-side teams. How many marbles are in each bag? Answer: 7 marbles 2. Samuel has 241 marbles at a party. Subject: Mathematics. Oct 10, 2018 · This differentiated set of math worksheets includes 3 levels of multiplication and division word problems of varying difficulty. Use the buttons below to print, open, or download the PDF version of the Easy Multi-Step Word Problems math worksheet. Challenge your key stage 2 children to choose the correct operations and solve these real-life puzzles with these problem-solving year 6 maths worksheets. 5, so 138 tickets (round up) Mathematics Year 6: (6C8) Solve problems involving addition, subtraction, multiplication and division Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Solve a word problem involving long division of a 3-digit number by a 2-digit number no greater than 20. Utilize this free collection of division worksheets to familiarize young learners with mathematical terms like dividends, divisors, quotients and remainders, and develop a significant understanding of the relation between multiplication and division. Download this resource and you'll get a PDF assessment-style worksheet and a PowerPoint presentation. It also comes with an answer key for speedy marketing. grade 6 Fraction Word Problems. Ben walks around a circular yard. Instant access to inspirational lesson plans, schemes of work, assessment, interactive activities, resource packs Children should find the key information in the word problems and use long division to calculate their answers in this worksheet. Multiplication Word Problems: 2-digit by 1-digit. In worksheet on word problems on division, all grade students can practice the questions on word problems involving division. ip ya va pn wh ns xu fk vn pv