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Identifying and comparing fractions word problems.

These printable worksheets have grade 3 word problems related to identifying and/or comparing fractions. They also provide practice in simplifying fractions. Both fractions and mixed numbers are used.

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Year 3 Fraction Word Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

22 February 2018

Creative Commons "Sharealike"

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Gareth Mottram

Great selection and good differentiation sheet. Answers would have been nice to save even more time but thanks for doing this.

Empty reply does not make any sense for the end user

jelenazoria

Great for my highers. Thanks.

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Fraction Worksheets for Year 3 (age 7-8)

Children coming into Year 3 should have a sound understanding of simple fractions, especially halves, quarters and thirds.  They should have had plenty of practical experience dividing shapes and sets of objects into quarters and thirds.

There are plenty of new concepts on fractions to be understood in Year 3,but it is still important to use practical work, using shapes and objects, to help with understanding.  A key step is to begin working with tenths and recognising that tenths arise from dividing an object into ten equal parts. Later this can be developed to dividing one-digit numbers or quantities by 10. This is crucial for understanding our decimal system and understanding that a fraction such as three tenths can also be represented as a decimal (0.3) and connects to dividing 3 by 10. Counting in tenths can also help enormously with this. We have a great selection of worksheets which deal with writing tenths, counting in tenths and converting tenths to decimals.

Other fractions are also introduced, such as fifths, and equivalence between fractions is developed with the help of pictures and diagrams. This leads on to ordering fractions with the same denominator. One of the quirks of fractions, which some children find hard to understand, is that as the denominator gets larger the size of the number gets smaller (e.g. one tenth is smaller than one fifth; one twentieth is smaller than one tenth and so on). We have some excellent ordering fractions pages for Year 3 to help consolidate this concept. As well as these, some of our most popular worksheets are the sets of finding fractions of numbers, with questions such as ‘What is one sixth of 30?’ Again, the link between fractions and division needs to be constantly reinforced.

As the year progresses children will be introduced to adding and subtracting fractions, but only with the same denominator and with totals up to one whole one. Simplifying fractions is important at this stage and children should be encouraged to write fractions in their simplest form. (e.g. two sixths can be simplified to one third).

All this will lead onto much more on decimals and fractions in Year 4, including hundredths and further work on equivalence. If you child is finding the Year 3 work difficult then it is important to go back to Year 2, or even Year 1, and see what is understood and what concepts have not been fully understood.

Understand fractions and equivalent fractions

Understanding fractions and work on the importance of equivalent fractions.

Various fraction problems.

Tricky work on equivalent fractions.

Order fractions with the same denominator.

A little bit of revision on reading and writing fractions.

Understanding halves, quarters and thirds

Revision of work on halves, quarters and thirds.

Finding halves, quarters and thirds of numbers of bees etc..

More finding halves, quarters and thirds.

More finding halves, quarters and thirds - fun colouring.

Some tricky word problems using halves and quarters.

Ordering fractions as more than, equal to or less than a half.

Understanding tenths

Understanding tenths and counting in tenths.

Chocolate cakes to help with understanding tenths.

Introducing tenths by colouring one tenth; then finding six tenths, seven tenths etc of shapes. Finding out that five tenths is the same as a half.

Writing tenths in words and as a fraction.

Looking at tenths as decimals and fractions.

Matching fractions and decimals. ordering fractions and decimals.

Counting on in tenths.

Estimating tenths on a number line.

Find fractions of amounts and numbers

Finding fractions of amounts.

Shading quarters, thirds or fifths of various shapes.

Finding fractions of shapes. Makes a change from numbers!

A non-unit fraction is any fraction which does not have one as a numerator.

Find fractions of pizzas.

More pizzas, this time concentrating on fifths and sixths.

Finding fractions of an allotment: equivalent fractions.

Finding fractions of numbers. Working with halves, quarters, thirds and tenths. Remember, to find one fifth, divide by 5.

More finding fractions of numbers.

Solving word problems involving fractions.

Begin to add and subtract fractions with the same denominator.

Use the bar models to help with adding fractions.

Adding fractions with the same denominator.

More adding fractions with the same denominator.

Subtracting fractions with the same denominator.

More subtracting fractions with the same denominator.

A mixture of addition and subtraction of fractions with the same denominator.

The statutory requirements for fractions in Year 3.

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Problem Solving with Fractions: Stretch (Year 3)

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In this stretch level worksheet, children will solve various word problems with fractions. They could work independently to complete all the questions, or alternatively take it in turns to answer a problem before their partner checks their answer and sees if they agree.

Equivalent foundation and standard level resources are also available.

Related Topics:

Finding Equivalent Fractions (Year 3)

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Adding and Subtracting Fractions (Year 6)

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Resources you can trust

Year 3 fraction and decimal word problems

A mixed bag of fraction and decimal word problems linked to the year 3 maths curriculum.

This lower KS2 maths resource makes a super assessment or homework sheet.

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Janet Bryce

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1. Year 3 Fraction Problems Worksheet

In this pack, you'll find 9 x Year 3 fraction word problems and an answer sheet. A great way of making maths engaging and encouraging pupils to solve

2. 3rd Grade Fraction Word Problems

3rd Grade fraction word problems worksheets. These worksheets have grade 3 word problems related to identifying, comparing and simplifying fractions.

3. Year 3 Fraction Word Problems

Year 3 Fraction Word Problems. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity.

4. Year 3 Add Fractions Reasoning and Problem Solving

Questions 1, 4 and 7 (Reasoning). Developing Two fractions are added where the denominator is less than 10. Explain why.

5. Year 3 Subtract Fractions Reasoning and Problem Solving

Questions 2, 5 and 8 (Reasoning). Developing Identify and explain if the statement is correct when subtracting fractions and.

6. Fraction Worksheets for Year 3 (age 7-8)

Over 50 pages of fraction worksheets for year 3. Finding tenths of numbers, equivalence, ... Preview of worksheet Solving word problems with fractions.

7. Problem Solving with Fractions: Stretch (Year 3)

In this stretch level worksheet, children will solve various word problems with fractions. They could work independently to complete all the

8. Year 3 Equivalent Fractions 1 Reasoning and Problem Solving

Greater Depth Use multiplication facts to sort equivalent fifths, eighths, tenths and sixths. Includes 2 odd ones out. Questions 3, 6 and 9 (Reasoning).

9. Year 3 fraction and decimal word problems

A mixed bag of fraction and decimal word problems linked to the year 3 maths curriculum. This lower KS2 maths resource makes a super

10. Year 3 Fractions of an Amount 1 Reasoning and Problem Solving

Questions 1, 4 and 7 (Reasoning). Developing Explain the mistake when finding a unit fraction of an amount using groups and place value counters.