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Fractions, Decimals & Percentages

fdp problem solving year 6

Matching Fractions, Decimals and Percentages

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

fdp problem solving year 6

Repetitiously

Can you express every recurring decimal as a fraction?

fdp problem solving year 6

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

fdp problem solving year 6

A Chance to Win?

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

fdp problem solving year 6

Peaches Today, Peaches Tomorrow...

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

fdp problem solving year 6

What do you notice about these families of recurring decimals?

fdp problem solving year 6

Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

fdp problem solving year 6

Fractions and Percentages Card Game

Can you find the pairs that represent the same amount of money?

fdp problem solving year 6

Fractions, Decimals and Percentages - Short Problems

A collection of short problems on fractions, decimals and percentages.

fdp problem solving year 6

Terminating or Not

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

fdp problem solving year 6

fdp problem solving year 6

Visual maths worksheets, each maths worksheet is differentiated and visual.

FDP Problem Solving worksheet suitable for students in year 8 and year 9

FDP Problem Solving worksheet

Total reviews: (0), fdp problem solving worksheet description.

This worksheet consists of 5 problem-solving questions over 2 sections, calculator and non-calculator.

Section A is non-calculator. Students are required to use their knowledge of FDP equivalence to compare fractions, decimals and percentages including in 2 real-life scenarios.

Section B encourages students to use calculators to aid them to answer questions such as what is the percentage increase and finding a decimal of an amount.

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Five a Day - FDP - Solve probelms with FDP

Five a Day - FDP - Solve probelms with FDP

KS2Gems has developed a set of five daily mathematics questions designed to challenge Year 6 students' understanding of fractions, decimals, and percentages (FDP). These questions are styled after the types of problems that may be encountered in SATs, providing a valuable tool for both students and teachers. Each question requires students to apply their knowledge of FDP to solve real-world problems. The answers are conveniently provided on the slides following each question, allowing for immediate feedback and learning reinforcement.

The exercises include a variety of scenarios such as calculating the original number in a sequence of mathematical operations, determining the initial amount of money before making purchases, and figuring out the remaining pages left to read in a book. For instance, one question asks students to reverse calculations to find Noah's original number, while another requires them to work out how much money Poppy had before she spent a portion on sweets and crisps. Additionally, students are tasked with calculating change from a £10 note after buying comics and chocolate, and working out the total cost of two packs when the second pack is offered at a 50% discount. These questions not only assess students' computational skills but also develop their problem-solving abilities.

Five a Day - FDP

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Year 6 – Fractions

Welcome to Year 6 Fraction, Decimals and Percentages at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support FDP lessons in Year 6 and at home.  

If there’s a resource you’d like to see here, just visit our ‘Request a Resource’ page and Primary Maths Hub will create the resource and add it to the site.

Do Now Tasks / Starters

fdp problem solving year 6

Fraction Addition Do Now Tasks

fdp problem solving year 6

Fraction Addition and Subtraction Do Now Tasks

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Fraction Subtraction Do Now Tasks

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Divide Fractions by Whole Numbers Do Now Tasks

Differentiated question sets.

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Fraction of a Number Question Set 

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Adding Fractions Question Set

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Subtracting Fractions Question Set

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Subtracting Mixed Numbers Question Set

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Multiply Pairs of Fractions Question Set

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Divide Fractions by Whole Numbers Question Set

fdp problem solving year 6

Adding Mixed Numbers Question Set

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Decimal Addition Question Set 

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Decimal Subtraction Question Set

Fractions of a number.

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Fraction of a Number

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Faded Scaffolding Strips Fraction of a Number

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Fraction of a Number- Long and Short Mult and Div

Add fractions.

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Adding Fractions with Different Denominators

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Faded Scaffolding Strips Add Fractions with  Different Denominators

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Fading Scaffolding Strips- Add Three Fractions With Different Denominators

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Adding 3 Fractions with Different Denominators

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Subtract Fractions

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Subtract Fractions with Different Denominators

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Subtracting Fractions with Different Denominators

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Subtract Fractions with Different Denominators Greater Than 1

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Faded Scaffolding Strips Subtract Fractions with Different Denominators

Mixed add and subtract fractions.

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Add and Subtract Fractions with Different Denominators

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Add and Subtract Fractions with Different Denominators Greater Than 1

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Faded Scaffolding Strips Add and Subtract Fractions with Different Denominators

fdp problem solving year 6

Adding and Subtracting Fractions Part-Whole Model

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Add and Subtract Fractions with Different Denominators 

Simplify fractions.

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Fading Scaffolding Strips- Simplify Fractions

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Ordering and Comparing Fractions

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Faded Scaffolding Strips Compare Fractions with Different Denominators

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Faded Scaffolding Strips Order Fractions with Different Denominators

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Fading Scaffolding Strips- Compare Fractions With Different Denominators Greater than 1

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Compare Fractions with Different Denominators

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Order Fractions with Different Denominators

Equivalent fractions, multiply fractions.

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Multiply Pairs of Fractions

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Faded Scaffolding Strips Multiply Pairs of Fractions

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Divide Fractions by Whole Numbers

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Divide Fractions  by Whole Numbers

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Faded Scaffolding Strips Divide Fractions by Whole Numbers

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Divide Fractions by Whole Numbers 

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Divide Unit Fractions by Whole Numbers

Divide mixed numbers by whole numbers.

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Fading Scaffolding Strips- Divide Mixed Numbers by Whole Numbers 

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Add and Subtract Mixed Numbers

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Adding Mixed Numbers with Different Denominators

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Subtracting Mixed Numbers with Different Denominators

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Faded Scaffolding Strips Subtract Mixed Numbers with Different Denominators

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Adding Mixed Numbers With Different Denominators Faded Scaffolding

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Faded Scaffolding Strips Add Mixed Numbers with Different Denominators

fdp problem solving year 6

Adding and Subtracting Fractions Greater Than 1 Part-Whole Model

fdp problem solving year 6

Add and Subtract Mixed Numbers with Different Denominators

Convert mixed numbers and improper fractions, add decimals.

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Strips- Add Decimal Numbers

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Faded Scaffolding Strips Add Decimal Numbers

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Add Decimal Numbers

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Subtract Decimals

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Strips- Subtract Decimal Numbers 

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Faded Scaffolding Strips Subtract Decimal Numbers

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Subtract Decimal Number From a Whole Number

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Faded Scaffolding Strips Subtract Decimals From Whole

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Strips- Subtract Decimal Number From Whole Number

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Subtract a Decimal Number From a Whole Number 

Mixed add and subtract decimals.

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Strips- Add and Subtract Decimal Numbers

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Faded Scaffolding Strips- Add and Subtract Decimal Numbers 

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Fading Scaffolding Strips- Find Whole From Fraction 

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Faded Scaffolding Strips Complements of 1 –  Thousandths

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Add and Subtract Decimal Numbers

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Subtract Decimal Numbers

Multiplying decimals.

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Strips- Decimal Multiplication

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Multiplying Decimal Numbers by Whole Numbers- O.t x O

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Multiplying Decimal Numbers by Whole Numbers- O.th x O

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Multiplying Decimal Numbers by Whole Numbers- TO.t x O 

fdp problem solving year 6

Multiplying Decimal Numbers by Whole Numbers- Mixed

Dividing decimals.

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Divide a Decimal Number by 1-Digit Number

Ordering and comparing decimals.

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Faded Scaffolding Strips- Compare Decimals

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Compare Decimals 

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Order Decimals 

Rounding decimals.

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Rounding Decimal Numbers

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Faded Scaffolding Strips- Round Decimal Numbers

Fdp - equality and inequality statements.

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Equality and Inequality Statement Matching- Decimals 

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Decimal A and S- Equality and Inequality Statement Matching

fdp problem solving year 6

Equality and Inequality Statement Matching- Comparing Fractions 

fdp problem solving year 6

Fractions All Operations- Equality and Inequality Statement Matching

Percentages, mixed - fractions, decimals and percentages.

fdp problem solving year 6

Mixed Fractions and Decimals Greater than 1 Part-Whole Model

fdp problem solving year 6

Mixed Fractions and Decimals Less Than 1 Part-Whole Model 

fdp problem solving year 6

Mixed Fractions, Decimals and Percentages Part-Whole Model 

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Compare Fractions and Decimals

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Order Fractions, Decimals and Percentages

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Strips- Calculating Using Fraction, Decimal and Percentage Equivalence

fdp problem solving year 6

Strips- Fraction, Decimal and Percentage Equivalence

Problem solving, challenges and word problems.

fdp problem solving year 6

Mixed Fraction Word Problems

fdp problem solving year 6

Add and Sub Fract with Dif Den Greater than 1 Grid Challenge

Hinge questions.

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Revision- Adding and Subtracting Decimals

Steps to success.

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Adding Fractions with Different Denominators- Steps to Success

fdp problem solving year 6

Adding Mixed Numbers- Steps to Success

fdp problem solving year 6

Comparing Fractions- Steps to Success

fdp problem solving year 6

Divide a Fraction by a Whole Number- Steps to Success

fdp problem solving year 6

Expressing Fractions in the Same Denominator- Steps to Success

fdp problem solving year 6

Find a Fraction of a Number- Steps to Success

fdp problem solving year 6

Multiply Pairs of Fractions- Steps to Success

fdp problem solving year 6

Simplifying Fractions- Steps to Success

fdp problem solving year 6

Subtracting Mixed Numbers- Steps to Success

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fdp problem solving year 6

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Order FDP Year 6 Percentages Resource Pack

Order FDP Year 6 Resources

Step 3: Order FDP Year 6 Spring Block 2 Resources

Order FDP Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Spring Block 2.

fdp problem solving year 6

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What's included in the pack?

This pack includes:

  • Order FDP Year 6 Teaching PowerPoint.
  • Order FDP Year 6 Varied Fluency with answers.
  • Order FDP Year 6 Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 6: (6F6)  Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8] ​

Mathematics Year 6: (6F11)  Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

Differentiation for Order FDP Year 6:

Varied Fluency Developing Questions to support ordering fractions, decimals and percentages. Using percentages and decimals that are multiples of 5 and fractions that are tenths, quarters and halves. Includes whole number percentages. Expected Questions to support ordering fractions, decimals and percentages. Using any percentage and decimal number, and any proper fraction. May include the use of percentages equivalent to eighths with 1 decimal place. Greater Depth Questions to support ordering fractions, decimals and percentages. Using any percentage and decimal number, and any proper fractions. Includes the use of percentages with 1 decimal place.

Reasoning and Problem Solving Questions 1, 4 and 7 (Reasoning) Developing Explain whether an answer is correct. Using percentages and decimals that are multiples of 5 and fractions that are tenths, quarters and halves. Includes whole number percentages. Expected Explain whether an answer is correct. Using any percentage and decimal number, and any proper fraction. May include the use of percentages equivalent to eighths with 1 decimal place. Greater Depth Find a missing percentage. Using any percentage and decimal number, and any proper fractions. Includes the use of percentages with 1 decimal place.

Questions 2, 5 and 8 (Problem Solving) Developing Complete a calculation. Using percentages and decimals that are multiples of 5 and fractions that are tenths, quarters and halves. Includes whole number percentages. Expected Complete a calculation. Using any percentage and decimal number, and any proper fraction. May include the use of percentages equivalent to eighths with 1 decimal place. Greater Depth Complete a calculation. Using any percentage and decimal number, and any proper fractions. Includes the use of percentages with 1 decimal place.

Questions 3, 6 and 9 (Reasoning) Developing Explain whether a statement is correct. Using percentages and decimals that are multiples of 5 and fractions that are tenths, quarters and halves. Includes whole number percentages. Expected Explain whether a statement is correct. Using any percentage and decimal number, and any proper fraction. May include the use of percentages equivalent to eighths with 1 decimal place. Greater Depth Explain a mistake that has been made. Using any percentage and decimal number, and any proper fractions. Includes the use of percentages with 1 decimal place.

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fdp problem solving year 6

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Problem solving with fractions, decimals and percentages   (Y5/6)

Problem solving with fractions, decimals and percentages (Y5/6)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Damon Roberts

Last updated

21 May 2018

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pub, 492 KB

Four problems which require children to problem solve with percentages, decimals and fractions. This is aimed at Y5/6 children and the sheet can be easily adapted for differentiation if needed.

For more resources please see my shop: https://www.tes.com/teaching-resources/shop/d_roberts1

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Easy to adapt to provide differentiation. Just right for my y5s

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Great for my students especially those that are struggling.

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IMAGES

  1. Percentages Year 6 Equivalent FDP Discussion Problems

    fdp problem solving year 6

  2. Year 6 Equivalent FDP Lesson

    fdp problem solving year 6

  3. Equivalent FDP: Reasoning and Problem Solving

    fdp problem solving year 6

  4. Year 6 Order FDP Lesson

    fdp problem solving year 6

  5. Order FDP Year 6 Percentages Resource Pack

    fdp problem solving year 6

  6. Year 6 Order FDP Lesson

    fdp problem solving year 6

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COMMENTS

  1. PDF Year 6 Order FDP Reasoning and Problem Solving

    Reasoning and Problem Solving Step 3: Order FDP. National Curriculum Objectives: Mathematics Year 6: (6F6) Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8] Mathematics Year 6: (6F11) Recall and use equivalences between simple fractions, decimals and ...

  2. PDF Year 6 Equivalent FDP Reasoning and Problem Solving

    Reasoning and Problem Solving - Equivalent FDP - Year 6 Developing. 4a.Millie says, If I eat 60% of my birthday cake, there will be three fifths, or 0.6 left. E. 4b. Saad says, If I eat 0.625 of my birthday cake, there will be three eighths, or 37.5% left. E. 5a.Joshua scored 75% on his Maths test. Briony got 3.

  3. Mixed Worded Fractions Decimals Percentages Questions (Exam Style)

    Mixed Worded Fractions Decimals Percentages Questions (Exam Style) Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 242.5 KB. A set of questions that require the use of fractions, decimals and percentages within the same question when finding a reduced quantity of an amount.

  4. PDF Year 6

    Year 6 |Spring Term Week 3 to 4 -Number: Percentages Reasoning and Problem Solving Possible answers:. / = 0.125 = 12.5% or-/ = 0.625 = 62.5% Equivalent FDP Complete the missing information using a decimal and a percentage. Can you find more than one solution?. 1 =75% − −3 tenths 40% = 1 5 + + Complete the part whole model. How

  5. Fractions, Decimals & Percentages

    Doughnut Percents. Age 7 to 14. Challenge Level. A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

  6. PDF Year 6 Order FDP Reasoning and Problem Solving

    Reasoning and Problem Solving Step 23: Order FDP. National Curriculum Objectives: Mathematics Year 6: (6F6) Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8] Mathematics Year 6: (6F11) Recall and use equivalences between simple fractions, decimals and ...

  7. FDP Problem Solving Worksheet

    FDP Problem Solving worksheet description. This worksheet consists of 5 problem-solving questions over 2 sections, calculator and non-calculator. Section A is non-calculator. Students are required to use their knowledge of FDP equivalence to compare fractions, decimals and percentages including in 2 real-life scenarios.

  8. Year 6 Order FDP Lesson

    This Year 6 Order FDP lesson covers the prior learning of finding equivalent fractions, decimals and percentages, before moving onto the main skill of ordering fractions, decimals and percentages. ... PowerPoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as ...

  9. Order FDP: Reasoning and Problem Solving

    Order FDP: Reasoning and Problem Solving, Maths, Year 6, Number, Fractions, Percentages, Fractions, Decimals, Percentages, Sign Up to Download

  10. Year 6 DiM: Step 6 Order FDP Teaching Pack

    This comprehensive teaching pack will enhance understanding of ordering fractions, decimals, and percentages in year 6. It is designed to support the White Rose Maths small step 6: 'Order fractions, decimals and percentages'. A visually appealing PowerPoint presentation is included in the pack featuring activities to develop mastery and understanding when ordering fractions, decimals and ...

  11. PDF Discussion Problems Step 2: Equivalent FDP

    Discussion Problems - Equivalent FDP - Year 6. Various answers, for example: Slab 2, Slab 3, Slab 4 and Slab 8. This would provide a total of 0.96 as a decimal. Various answers, for example: As shown above. Various answers, for example: 0.1 +. - 0.14 = 0.76; 40% = 0.4 + 0.56 = 0.96. Discussion Problems - Equivalent FDP ANSWERS.

  12. Five a Day

    KS2Gems has developed a set of five daily mathematics questions designed to challenge Year 6 students' understanding of fractions, decimals, and percentages (FDP). These questions are styled after the types of problems that may be encountered in SATs, providing a valuable tool for both students and teachers.

  13. PDF Year 6 Booster Booklet Fractions

    page 5 FDP2 -use common multiples to express fractions in the same denomination and compare and order fractions Ask the children to write 2 lists - the first ten multiples of 3 (3,6,9,12...etc) and the first ten multiples of 4. Discuss which numbers are on both lists. (12 and 24) These are numbers are common multiples of 3 and 4.

  14. PDF Year 6 Fractions, Decimals and Percentages Practice Test

    Year 6 Fractions, Decimals and Percentages Practice Test 25 KS2 SATs uestions and ark Scheme: Fractions, Decimals and Percentages Third Space Learning First name Last name Class Score / 25 Instructions You may not use a calculator to answer any questions in this test. Questions and answers • Follow the instructions for each question.

  15. PDF Year 6 Simplify Fractions Reasoning and Problem Solving

    Reasoning and Problem Solving - Simplify Fractions - Teaching Information. 1a.Use the fraction wall to complete these simplified fractions. 1b. Use the fraction wall to complete these simplified fractions. 2a.In a basket of 10 apples, 2 are red. Represent this as a simplified fraction.

  16. PDF Year 6 Fractions to Decimals 2 Reasoning and Problem Solving

    Reasoning and Problem Solving Step 9: Fractions to Decimals 2 National Curriculum Objectives: Mathematics Year 6: (6F6) Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8] Mathematics Year 6: (6F9c) Use written division methods in cases where the answer has up

  17. Year 6

    Welcome to Year 6 Fraction, Decimals and Percentages at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support FDP lessons in Year 6 and at home. If there's a resource you'd like to see here, just visit our 'Request a Resource' page and Primary Maths Hub.

  18. Fractions, Decimals and Percentages Practice Questions

    Click here for Answers. equivalent. Practice Questions. Previous: Percentages and Fractions Practice Questions. Next: Ordering Fractions, Decimals and Percentages Practice Questions. The Corbettmaths Practice Questions on Fractions, Decimals and Percentages (FDP)

  19. Y6 DiM: Equivalent Fractions, Decimals and Percentages

    This fantastic Diving into Mastery teaching pack supports the White Rose Maths year 6 small step 5: 'Equivalent fractions, decimals and percentages'. The teaching pack contains a PowerPoint presentation offering fluency, reasoning and problem-solving activities for children to work on as a whole class or independently. Matching activity sheets, mirroring the PowerPoint, offer differentiation ...

  20. Order FDP Year 6 Percentages Resource Pack

    Order FDP Year 6 Teaching PowerPoint. Order FDP Year 6 Varied Fluency with answers. Order FDP Year 6 Reasoning and Problem Solving with answers. National Curriculum Objectives. Mathematics Year 6: (6F6) Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]

  21. Problem solving with fractions, decimals and percentages (Y5/6)

    Four problems which require children to problem solve with percentages, decimals and fractions. This is aimed at Y5/6 children and the sheet can be easily adapted for differentiation if needed.

  22. Fractions, Decimals and Percentages Year 6

    Discover Twinkl's wide range of Year 6 percentages, decimals and fractions resources. Designed by teachers for resources you can rely on, our fantastic learning materials include worksheets, PowerPoints, challenge cards and more, allowing you to tackle difficult topics in a variety of ways. However you choose to use them, our Year 6 fractions ...

  23. PDF FDP Mixture pdf

    Explain your answer. Question 4: Mike got 58% of questions correct on a test. What fraction of questions did he get correct? Question 5: A school has three year groups: year 7, year 8 and year 9. 30% of the students are in year 7 36% of the students are in year 8 What fraction of the students at the school are in year 9? Question 6: In a crate ...