percentage homework year 6

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Percents Worksheets

Math worksheets: percents.

These worksheets provide practice in common calculations involving percents , including changing decimals to and from percents, finding percentages of numbers and fining how many percent a number is of another number.

Sample Grade 6 Percents Worksheet

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Year 6 Percentages

KS2 Maths videos, quizzes and activities that will help students practise their percentages knowledge and skills.

Part of Maths

Percentages

What is a percentage?

What does percentage mean? How can part of something be shown as a percentage?

How to calculate percentage

Find out a simple way to work out the percentage of a number.

Convert fractions into percentages

Learn how to convert fractions and percentages.

Comparing fractions, decimals and percentages

Explore how to order, compare and convert fractions, decimals and percentages.

What is probability?

Find out how likely something is to happen and how this can be expressed as fractions, decimals or percentages.

Maths of the Day: Pitch Percentages

Gary Lineker from Match of the Day challenges you to answer four questions about percentages.

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Percent Worksheets

This ensemble of printable percentage worksheets is tailor-made for students of grade 6, grade 7, and grade 8. A plethora of exercises like finding the percent of the shaded region, finding percent of a whole numbers and decimals, comparing quantities, well-researched word problems and a lot more are available here. The pdf worksheets are split into metric and customary units to enable convenient downloads. Access some of these worksheets for free!

» Profit and Loss

» Discount

» Simple Interest

» Compound Interest

» Sales Tax

Percent of the Shaded Region: Blocks

Engage in this series of base 10 blocks worksheets that contain nine problems per page. Discern and count the shaded squares to determine the percentage of the shaded area.

• Download the set

Percent of the Shaded Region: Shapes

Keenly observe the shaded region of the shapes provided. Find the percentage of the shaded area in each problem.

Percent of a Whole Number

Each 6th grade worksheet contains 14 problems calculating the percentage of whole numbers. Use the answer keys to verify your responses.

Percent: Units of Measurement with Word Problems

Calculate the amount for each base value in these worksheets that contain units of measurement. Also, solve the percent word problems based on interesting real-life scenarios.

Percent of a Decimal Number

Find the value that constitutes an equivalent percentage for each decimal and round them to the nearest hundredth.

Comparing Quantities: with Word Problems

Work out the percentages. Then, compare them and insert the appropriate <, > or = symbols in the boxes. Word problems are also furnished to help learners grasp the concept of comparing quantities.

Percent on a Number Line

Based on the number line models provided, fill in the boxes with either the appropriate percentages or numbers. These printable worksheets form a great visual aid for 6th grade and 7th grade students in understanding percentages.

Find the Value of the Unknowns

Read each question carefully to find the unknown percentages, base values or amounts. Round your answers to the nearest hundredth.

Percent of Increase or Decrease: with Word Problems

Based on the original amount, find the ratio of change in quantity. Then, calculate the percentage of increase or decrease. Each worksheet includes a number of word problems suitable for 7th grade and 8th grade students.

Find the New Amount: Percent of Increase or Decrease

Find the increase or decrease in amount using the given percentage. Add or subtract the amount so derived to determine the change in quantity. A few word problems are incorporated here for variety.

Percent Error

There's no room for error in our enigmatic pdf worksheets on calculating the percent error in an estimate! Practice finding the difference between a guess and the exact value in the form of percentage in this section.

Convert between Fractions, Decimals, Percent Worksheets

Engage this set of printable worksheets that include an assortment of exercises based on conversion between fractions, decimals and percent.

(30 Worksheets)

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» Ratio

» Fractions

» Proportions

» Decimals

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Free Year 6 Maths Worksheets And SATs Revision Worksheets: Download, Print Or View Online

Sophie Bessemer

Here you’ll find all our free Year 6 maths worksheets and Year 6 SATs revision workshee t s that you can download and use straight away.

Inevitably, many of these have been designed originally to be Year 6 SATs revision worksheets for pupils preparing for their end of primary school KS2 SATs but whether they are sitting their SATs or not, they still need to know the content, and you still want them ready for Year 7 maths next year at secondary school.

If you’re a parent looking for more advice, try our  home learning hub full of home learning packs , tips and teaching ideas for Year 6 Maths at Home and maths homework and more about the KS2 SATs which take place in May every year for Year 6.

If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our online tutoring programme of maths interventions , together with maths resources and CPD.

A note on the Year 6 maths worksheets provided

All the Third Space Learning Year 6, KS2 maths worksheets and SATs revision worksheets are printable; most are in pdf format, some are designed as slides, but if you don’t want to print for whatever reason all the worksheets can be viewed online too. 

We always include answers in our maths resource packs but for any teachers wanting to delve further into any of these topics take a look at our KS2 Maths teaching guides which cover everything from long division to pie charts. And if you’re after something a bit more lighthearted in the run up to SATs, our collection of maths games , in particular the KS2 maths games are always popular.

How we’ve selected the Year 6 maths worksheets

We are providing here a selection of the pdf Year 6 maths worksheets and, Year 6 maths tests that we believe can be used with minimal support by 10 or 11 year olds as part of their home learning.

The focus here is on retrieval practice . This means working on skills and knowledge a Year 6 should already have been taught (even if they can’t remember it yet!) and supporting them with strategies to approach SATs questions rather than teaching them new content.

Inevitably there’s a focus at this stage on ensuring pupils core number work is really sound, and on the topics that lend themselves well to Year 6 maths worksheets. There’s nothing here for example on identifying shapes or properties of shapes such as parallelograms or quadrilaterals because you can find these easily online already.

Primary National Curriculum guidance and links to other support is given where relevant alongside the maths worksheets.

Free Year 6 Maths Worksheets and Tests

A collection of free Year 6 maths activities and worksheets from the Third Space Maths Hub. You need to register to download (but it's free). Use Google Chrome.

Year 6 Place Value Worksheets

Year 6 addition and subtraction worksheets, year 6 multiplication and division worksheets, year 6 four operations worksheets, year 6 fractions worksheets, year 6 percentages worksheets, year 6 decimals worksheets, year 6 algebra worksheets, year 6 fluency, reasoning and problem solving skills practice, year 6 sats tests and revision resources, year 6 maths worksheets on place value: all kinds of word problems.

These Year 6 number and place value worksheets give lots of practice on two-step and three-step word problems to strengthen children’s understanding of place value and ordering numbers.

Download the free Year 6 Number and Place Value worksheets

Year 6 SATs Revision Worksheets on place value: SATs Revision Packs

If you find a Year 6 child is struggling with the place value word problems, then you might want to try some more refresher place value questions and activities with them.

If giving as homework encourage parents to read our explainer What is Place Value and then work through these SATs Revision packs on place value, which cover basic number facts all the way to decimal numbers, designed to for use in the final year of primary school.

Topics covered include: Ordering and Comparing Numbers to 10 Million, Ordering and Comparing Numbers to 3 Decimal Places, Rounding Whole Numbers and Decimals.

Download the free SATs Revision Packs on Place Value

Year 6 Maths Worksheets on addition and subtraction: Gap Plugging Pack

These lessons are what we use during our online maths interventions. The year 6 addition and subtraction worksheets include lots of addition and subtraction questions for children to follow along with. As they are intended to be used by a tutor teaching and supporting a child through their Year 6 addition and subtraction understanding, parents may need to be prepared to step in occasionally. 

Download the free Year 6 Addition & Subtraction worksheets or check out or full collection of addition and subtraction worksheets for even more!

Year 6 Maths Worksheets on multiplication and division: Gap Plugging Pack

More examples of Year 6 maths slides from our online maths tuition, this time on multiplication and division.

Download the free Year 6 Multiplication & Division worksheets

Year 6 SATs Revision Worksheets: Times Tables Tests

It’s essential that children become proficient and quick at their times tables and schools really need parents support in this. By Year 6 children should know all their multiplication facts up to the 12 times table and beyond (i.e 10 times bigger and smaller than 12 too) and be able to identify common multiples, and common factors.

Here are some quick Year 6 maths tests that they can mark themselves to identify any gaps in their multiplication tables and track their progress.

Download the free Year 6 Times Tables Tests

Year 6 Maths Worksheets on long multiplication

These upper KS2 worksheets provide over 45 long multiplication questions that progress from multiplying 2-digit by 2-digit numbers to 4-digit by 2-digit word problems of the sort Year 6 pupils are likely to encounter in SATs.

Download the free Year 6 Long Multiplication worksheets

Year 6 Maths Worksheets on division

By Year 6 children should have moved their understanding of division on to the formal long division method and they will be ready tackle these long division worksheets.

The questions start with short division so a child can progress from 1-digit number division to 2-digit and 3-digit division using division facts and multiples. 

Download the free Year 6 Long Division worksheets

Year 6 Maths Worksheet on the four operations: All Kinds of Word Problems

Mastering BODMAS and the order of operations is key in Year 6 as they start working with indices, square numbers and brackets as well as the standard four operations of addition, subtraction, multiplication and division. This set of KS2 maths worksheets gives 40 word problems of increasing levels of difficulty; if a child struggles with the year 6 four operations questions, then suggest they look at the Year 3, 4 or 5 maths problems instead.

Download the free Year 6 Four Operations worksheet

Year 6 Maths Worksheet on the four operations: Code Crackers

While most pupils will be confident when tackling the four operations, it always helps to have a worksheet that provides some maths revision. This entertaining maths activity not only recaps the four operations through number problems but also when the answers are correctly found, they create the punchline to a joke. 

Download Year 6 Maths Worksheet on the four operations: Code Crackers

Year 6 Maths Worksheet on the four operations: Worked Examples

In Year 6, children will recap previous learning in the four operations but they will also learn long division and focus on BODMAS. There will always be children who will have gathered and maintained misconceptions throughout their schooling or recently found themselves making common mistakes. This worked example worksheet is a perfect way to discuss common errors children make. 

Download Year 6 Maths Worksheet on the four operations: Worked Examples

Year 6 Maths Worksheets on adding and subtracting fractions: Gap Plugging Pack

Year 6 adding and subtracting fractions questions from our online maths lessons

Download the free Year 6 Adding and Subtracting Fractions worksheets

Year 6 Maths Worksheets on multiplying and dividing fractions : Gap Plugging Pack

Year 6 multiplying and dividing fractions questions from our online maths lessons .

Download the free Year 6 Multiplying and Dividing Fractions worksheets

Year 6 Maths Worksheet on fractions: All Kinds of Word Problems

This free year 6 fractions worksheet is a collection of word problems that enable 11 year olds to see a variety of different ways that fraction problems can be constructed, including adding and subtracting fractions, working out equivalent fractions and simplifying fractions

Download the free Year 6 Fractions worksheet

Year 6 Maths Worksheet on fractions: Code Crackers

When children are in Year 6, there are a lot of different elements to fractions that they need to remember. This worksheet provides a fun recap of everything they will have been taught throughout the Year 6 fractions block while they find the answer to a silly joke. The fractions questions include adding fractions with different denominators, multiplying proper fractions by integers and multiplying two proper fractions. 

Download Year 6 Maths Worksheet on fractions: Code Crackers

Year 6 Maths Worksheet on fractions: Worked Examples

This worksheet involves a set of fractions questions that have been solved but not all have been correctly solved. The pupils will need to ‘become the teacher’ to mark the work presented to them and edit any incorrect answers they find. The focus of this resource is mainly on identifying and explaining errors to develop reasoning skills. 

Download Year 6 Maths Worksheet on fractions: Worked Examples

Year 6 Maths Worksheets on percentages: Code Crackers

Revision for 10 and 11 year olds on a perennially tricky SATs topic – Year 6 percentages – all in a fun format that allows Year 6 children the satisfaction of cracking a topical code at the end.

Download the free Year 6 percentages worksheets

Year 6 Maths Worksheets on percentages: Worked Examples

This worksheet encourages children to convert between percentages, fractions and decimals as well as finding equivalents to a given percentage and using percentages in context (in money). There is an added challenge of the questions being solved, ready for the children to check the answers for errors. 

Download Year 6 Maths Worksheets on percentages: Worked Examples

Year 6 Maths Worksheets on decimals: Code Crackers

Recap Year 6 decimals knowledge in order to crack the code .

Download the free Year 6 decimals worksheets

Year 6 Maths Worksheets on decimals: Worked Examples

This worked example worksheet focuses on common eros made within this topic, for example multiplying a decimal number by 100 and multiplying an integer by a decimal number. 

Download Year 6 Maths Worksheets on decimals: Worked Examples

Year 6 Maths Worksheets on algebra: Code Crackers

Recap Year 6 algebra knowledge in order to crack the code.

Download the free Year 6 algebra worksheets

Year 6 Maths Worksheets on algebra: Worked Examples 

Algebra is a new topic for Year 6, although children will have experienced it under different names (for example, missing number problems). This worksheet focuses on the common errors that are made then using function machines, finding possible values and using formula. 

Download Year 6 Maths Worksheets on algebra: Worked Examples 

Year 6 Maths Worksheets on algebra and measures: Independent Recap

These quick worksheets are our newest resource, aimed at being tasks children can work through with minimal support from parents or teachers. This pack contains four worksheets focused on forming and solving two step equations, and converting metric measurements – a double helping of key SATs topics.

Download the Year 6 Algebra and Measures Independent Recap Worksheets Pack

Year 6 Maths Worksheets for improving mental maths, arithmetic and fluency: Fluent in Five

We recommend every primary school child starts their day with Fluent in Five. It’s 5-10 minutes of daily arithmetic questions; in Year 6 children have to answer up to 7 quick mental arithmetic questions a day using either a written or mental method. It’s a fantastic way to develop children’s numeracy and build up their speed in preparation for the KS2 SATs Arithmetic paper.

Download the free Year 6 Arithmetic Worksheets

Year 6 Maths Worksheets for problem solving and reasoning: Rapid Reasoning

Children often struggle with maths reasoning at KS2 , e specially in lower Key Stage 2. This set of more than 120 maths reasoning questions includes modelled answers and step by step guidance to support pupils through solving them. Each Year 6 reasoning worksheet has approximately 4 questions on it.

Download the free Year 6 Reasoning Worksheets

Year 6 SATs Tests and Year 6 Maths Papers

Of course one of the skills the SATs papers test is identifying exactly what the question is asking for, and which maths operation to undertake. The following practice Year 6 maths sats papers or Year 6 SATs tests provide a range of question types and topics, requiring children to switch between multiplication and division to 2D shapes and 3D shapes from one question to the next. They all include answer sheets so children can self mark as required.

Download 6 free KS2 SATs Papers

Download your free Year 6 maths test

Year 6 SATs Revision Worksheets: Worked Examples

This pack contains a series of SATs style arithmetic and reasoning questions that have already been solved, although the answers may not be correct. Each year 6 sats revision worksheet encourages pupils to find and explain errors, not just focus on finding the correct answer. Again the topics are all mixed up, so the first step is in finding what is being tested.

Download free Year 6 Maths Worked Examples

Year 6 SATs Reasoning Questions

Central to the new maths mastery approach to teaching maths at primary school is the idea that all children of all abilities should be able to solve multi step word problems in maths and reason well. This is why two of the three KS2 SATs papers are SATs reasoning papers.

While these aren’t on a SATs revision worksheet, there are plenty of examples here to help 10 and 11 year olds to practise these kind of questions.

35 Free Year 6 Maths Reasoning Questions

If you have pupils who need a boost for SATs next year, talk to one of our schools team about the results you can expect from our one to one SATs revision lessons . We’ve also collected the best SATs revision resources if you’re planning your own SATs intervention, including a breakdown of the topics and order that we believe is most effective in giving pupils a firm grasp of maths and enabling them to achieve 100 in SATs .

Also in this series…

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 Maths Worksheets
• Year 3 Maths Curriculum Toolkit for 7 & 8 Year Olds
• Year 3 Maths Worksheets
• Year 4 Maths  Curriculum Toolkit for 8 & 9 Year Olds
• Year 4 Maths Worksheets
• Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
• Year 5 Maths Worksheets

DO YOU HAVE PUPILS WHO NEED MORE SUPPORT IN MATHS?

Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly primary school tuition designed to plug gaps and boost progress.

Since 2013 these personalised one to one lessons have helped over 169,000 primary and secondary students become more confident, able mathematicians.

Learn about the year 6 programme or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

Related articles

GCSE Maths 2024 Summary: Insights, Highlights & What’s Next

Revision Techniques: A Comprehensive Guide To Help Your Students Revise 

Free KS2 Maths Worksheets For Year 3 To Year 6: Downloadable And Following A Maths Mastery Approach

Free Year 2 Maths Worksheets And Homework: Printable, Downloadable Or Just View Online

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Easy to implement daily arithmetic questions to build number fluency and confidence in 5 minutes a day.

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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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 6 Maths Learning

Here are some of the key learning objectives for the end of Year 6:

• know and use Place value up to 10 million
• Counting on and back in steps of powers of 10 from any number up to 10 million
• Round numbers to any given degree of accuracy.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000 and recognise years written in Roman numerals
• solve multi-step problems using addition and subtraction in a range of contexts
• identify multiples and factors including common factors
• multiply and divide up to 4-digit numbers by up to 2 digits
• Use their knowledge of the order of operations to carry out calculations involving the four operations.
• Identify common factors, common multiples and prime numbers.
• solve problems involving addition, subtraction, multiplication and division
• simplify fractions
• compare and order fractions including mixed numbers
• add and subtract fractions with different denominators including mixed numbers
• multiply simple fractions together and simplify the answer
• divide proper fractions by whole numbers
• recall and use equivalence between simple fractions, decimals and percentages.
• Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
• read, write, order and compare numbers up to 3dp
• round decimals with up to 3dp to the nearest whole
• solve problems with numbers up to 3dp
• work out percentages of different amounts
• solve problems using percentages
• use simple formulae
• express missing number problems using algebra
• find pairs of numbers that satisfy equations with two variables
• solve problems involving simple ratios
• solve problems involving similar shapes where the scale factor is known
• use, read, write and convert between standard units of measure
• measure, compare and calculate using different measures
• know that shapes with the same area can have different perimeters
• find the area of parallelograms and right triangles
• find the volume of cubes and cuboids
• convert between miles and km
• name and understand the parts of circles - radius, diameter and circumference
• draw 2D shapes accurately using dimensions and angles
• compate and classify 2D shapes by a range of properties
• find missing angles in triangles, quadrilaterals and regular shapes
• use coordinates in all 4 quadrants
• draw and translate simple shapes in all 4 quadrants
• interpret and construct pie charts and line graphs
• calculate the mean as an average

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 6 is generally equivalent to 5th Grade in the US.

On this page you will find link to our range of math worksheets for Year 6.

Quicklinks to Year 6 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions percents ratio zone.

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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 6 number worksheets.

Here you will find a range of Free Printable Year 6 Number Worksheets.

Using these Year 6 maths worksheets will help your child to:

• use place value with numbers up to 10 million;
• use place value with up to 3 decimal places;
• understand how to use exponents (powers) of a number;
• understand and use parentheses (brackets);
• understand and use multiples and factors;
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• Place Value Worksheets to 10 million
• Place Value to 3dp
• Ordering Decimals Worksheets
• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets
• Balancing Math Equations
• Roman Numerals worksheets

Ordering Large Numbers and Decimals to 3dp

The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Large Numbers up to 100 million
• Ordering Decimals to 3dp

Rounding Decimals

• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Year 6 Decimal Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting By Decimals

Year 6 Mental Maths Zone

Each worksheet 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 6 Mental Maths Tests

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Year 6 Addition Worksheets

• add decimals including tenths and hundredths mentally;
• add a columns of multi-digit numbers, including decimals.
• Decimal Addition Fact Worksheets
• 5th Grade Addition Worksheets BIG Numbers
• Decimal Column Addition Worksheets
• Money Worksheets (randomly generated)

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

• subtract decimals including tenths and hundredths mentally;
• subtract multi-digit numbers, including decimals using column subtraction.
• Subtracting Decimals Worksheets (mental)
• Subtraction Worksheets up to Billions (columns)
• Column Subtraction with Decimals

Year 6 Multiplication Worksheets

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
• multiply different money amounts by a whole number.
• Multiplying Decimals by 10 and 100
• Multiplication Fact Sheet Decimals
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Free Multiplication Worksheets (randomly generated)
• Multiply and Divide by 10 100 (decimals)
• Multiplication & Division Worksheets (randomly generated)
• Multiplication Word Problems

Division Worksheets 5th Grade

Using these Year 6 maths worksheets will help your child learn to:

• divide any whole number up to 10000 by a two digit number;
• express any division with a remainder in the form of a mixed number (a number with a fraction part).
• Long Division Worksheets (whole numbers)
• Long Division of Decimal Numbers
• Decimal Division Facts
• Division Facts Worksheets (randomly generated)

Year 6 Maths Problems

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

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

• Year 6 Math Problems (5th Grade)

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

• Year 6 Math Word Problems (5th Grade)

These sheets involve solving a range of ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

• compare and order fractions;
• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Comparing Fractions Worksheet page
• Adding Fractions Worksheets
• Adding Improper Fractions
• Subtracting Fractions Worksheets
• Adding Subtracting Fractions Worksheets
• Improper Fraction Worksheets
• Converting Decimals to Fractions Worksheets
• Fractions Decimals Percents Worksheets
• Multiplying Fractions Worksheets
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• Simplifying Fractions Worksheets
• Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Percentage Word Problems

These Year 6 Ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets

Year 6 Geometry Worksheets

• know how to find missing angles in a range of situations;
• learn the number of degrees in a right angle, straight line, around a point and in a triangle;
• know how to calculate the area of a triangle;
• know how to calculate the area of a range of quadrilaterals.
• learn the formulas to calculate the area of triangles and some quadrilaterals;
• write and plot coordinates in all 4 quadrants.
• (5th Grade) Geometry - Angles
• Area of Quadrilaterals
• 5th Grade Volume Worksheets
• Coordinate Worksheets (1st Quadrant)
• Coordinate Plane Worksheets (All 4 Quadrants)
• Parts of a Circle Worksheets

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

• learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
• learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
• learn how to estimate a measurement of length, weight or liquid;
• convert temperatures in Celsius and Fahrenheit.
• (5th Grade) Measurement Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• Mean Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

• Year 6 Math Games (5th Grade)

Year 6 Maths Puzzles

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

• Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

Our Year 6 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 6 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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Percentages Teaching Resources for Year 6

• Teaching Resource 32
• Lesson Plan 1
• Worksheets 9
• Matching Games 3
• Tarsia Puzzles 2
• Teaching Slides 2
• Inquiry Based Learning Activities 1
• Word Walls 1
• Classroom Posters 1
• Task Cards 1
• Board Games 1
• Interactive Games 1
• Dice Games 1
• Templates 1
• Card Games 1

availability

File formats.

• Printable PDF 30
• Google Slides 22
• Microsoft PowerPoint (.pptx) 4
• Microsoft Word (.docx) 1
• Microsoft PowerPoint Template (.potx) 1
• Teach Starter Publishing 33

Year 6 Fractions, Decimals and Percentages Worksheets

Use these fractions, decimals and percentages worksheets in your Year 6 classroom for independent practice or as an assessment activity.

Decimals and Percentages Maths Investigation – Plan a Party!

Get your students connecting their maths knowledge to the real world with this decimals and percentages party planning project.

Decimals and Percentages Assessment

Assess students' knowledge of various decimals and percentages concepts with this four-page worksheet.

Calculating Discounts and Sale Price Teaching Slides

Teach your students how to calculate discounts and sale prices using fractions and decimals with this comprehensive teaching presentation.

Fraction, Decimal and Percentage Bingo

Convert between fractions, decimals and percentages with this engaging Bingo game the whole class can enjoy!

Introducing Percentages PowerPoint

A 12 slide editable PowerPoint template to use when introducing percentages to your students.

Converting Decimals, Fractions and Percentages – Worksheet

Strengthen your students’ understanding of how to convert a percent to a decimal and a fraction with this worksheet.

Fraction, Decimal and Percentage Match-Up Game

Get students converting fractions, decimals and percentages with this hands-on maths game aligned with the upper primary maths curriculum.

Percentages, Fractions, Decimals Worksheet

A worksheet connecting percentage, decimal and fraction values.

Roll Me a Discount! Board Game

Use this printable interactive dice game to consolidate understanding of discounts and sale price.

Grocery Percentages – Year 6 Maths Worksheet

Use percentages to calculate discounts with this maths worksheet designed for students in years 6 and 7.

Maths Mazes (Equivalent Fractions, Decimals and Percentages)

Determine equivalent fractions, decimals and percentages in this puzzling maths maze.

I Have, Who Has? Game - Fraction, Decimal and Percentage Equivalence

Reinforce students' understanding of fraction, decimal and percentage equivalence with a whole-class game.

Converting Percentages Year 6 Worksheet

Print a year 6 maths worksheet about converting a percent to a decimal or a fraction.

Dan's Digital World – Financial Maths Worksheets

Teach financial literacy to your students using this electronics store catalogue with accompanying worksheets.

Fractions, Decimals and Percentages Polygon Puzzle

A puzzle using fractions, decimals and percentages.

Fractions, Decimals and Percentages – Task Cards

Practise converting percentages into decimals and fractions with this set of 24 task cards.

Fraction, Percentage and Decimal Wheels

Explore equivalent fractions, decimals and percentages with this set of wheels perfect for hands-on learning.

Mega Matcher (Fractions, Decimals and Percentages) Year 6 Interactive Game

Match equivalent fractions, decimals and percentages with this interactive activity with a code cracking twist.

Fractions, Decimals and Percentages Vocabulary Poster

A poster to help students learn the vocabulary associated with fractions, decimals and percentages.

Find the Whole From a Percentage Worksheet

Practise how to find the whole from a percentage with this standard-practice worksheet.

Converting Percentages – Maths Mazes

Practise converting fractions, decimals and percentages with this set of maths mazes.

Comparing Fractions, Decimals and Percentages – Worksheet

Strengthen student understanding of how to compare fractions, decimals and percentages with this worksheet.

Percent Matching Game for Year 6 Maths

Match fractions, decimals and percentages with this printable matching game for year 6.

Find the Whole From a Percent — Year 6 Maths Mazes

Print a set of 3 maths mazes for year 6 to practise solving percentage problems.

Fraction, Percentage and Decimal Word Wall Vocabulary

Print your own fraction, percentage and decimal vocabulary for use on a maths word wall.

Percent Bingo Game

Engage your students with a lively bingo game while practising how to match percent models and fractions to various percentages.

Percent Models I Have Who Has? Game

Practise identifying percentages with visual percent models by playing an exciting 'I Have, Who Has?' game.

Percent of a Number Match-Up Activity

Practise how to find the percent of a number with this match-up activity.

Bullseye Target Percentages Game

A set of 10 bullseye target percentage posters.

Fraction, Decimal and Percentage Equivalence

A 60 minute lesson in which students will make connections between equivalent fractions, decimals and percentages.

• Percentages for Year 5

Ducks Sign Goaltender Dansk to One-Year, Two-Way Contract

• Link copied

The Ducks have signed goaltender Oscar Dansk to a one-year, two-way contract through the 2024-25 NHL season.

Dansk, 30 (2/28/94), has appeared in six career NHL games with Vegas (2017-21), posting a 4-1-0 record with a 3.10 goals-against average (GAA) and .906 save percentage (SV%). The 6-3, 200-pound goaltender has posted a 90-52-28 record with seven shutouts, a 2.79 GAA and .904 SV% in 171 career American Hockey League (AHL) contests with Calgary, Henderson, Chicago and Springfield from 2014-24. He has also appeared in 22 career Calder Cup Playoff contests, posting a 10-11 record with a 2.52 GAA and .909 SV%, helping the Chicago Wolves to an appearance in the 2019 Calder Cup Finals.

Originally selected by Columbus in the second round (31st overall) of the 2012 NHL Draft, Dansk combined for a 19-18-5 record with the Calgary Wranglers (AHL) the past two seasons. He was named the club’s recipient of the AHL Man of the Year Award each of his two seasons for his outstanding contributions to the Calgary community.

The Stockholm, Sweden native went 6-6-1 in 17 KHL games with Spartak Moscow in 2021-22. He spent two seasons in the Swedish Hockey League (SHL) from 2015-17 with Rogle, posting a 19-37-0 record with four shutouts. He helped Sweden to consecutive silver medals at the 2013 and 2014 World Junior Championships, and was named the 2014 tournament’s Best Goaltender after posting a 5-1-0 record. He also earned silver at the 2012 U-18 World Championship.

Ducks Announce Injury Updates on Sennecke, Suchanek

Ducks Announce 2024 Rookie Faceoff Roster, Camp Details

Ducks Announce 2024-25 National Television Schedule, Game Time Changes

Ducks Announce Partnerships with Victory+, KCOP Channel 13 to Televise All Regional Games for Free

Ducks Announce 2024-25 Promotional Schedule

Former Ducks Captain Getzlaf Joins NHL Department of Player Safety

Ducks Prospects to Compete in 2024 Rookie Faceoff Tournament

Ducks Sign Winger Nesterenko to One-Year, Two-Way Contract

Ducks Sign Defenseman LaCombe to Two-Year Contract Extension

Ducks, Fullerton School District Launch Free Summer Hockey Program

Ducks Sign Regenda to One-Year Contract

Ducks Sign Third Overall Pick Sennecke to Entry-Level Contract

Ducks Sign First-Round Pick Solberg to Entry-Level Contract

Ducks Acquire Forward Fabbri and a Conditional 2025 Fourth-Round Pick from Detroit 

Ducks Sign Right Wing Meyer to One-Year, Two-Way Contract

'Whatever the Team Needs Me to Do': Ducks Add Veteran Defenseman Dumoulin

Ducks Sign Harkins to Two-Year Contract

Ducks Acquire Defenseman Dumoulin from Seattle for 2026 Fourth-Round Pick

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The offers that appear on this site are from companies that compensate us. This compensation may impact how and where products appear on this site, including, for example, the order in which they may appear within the listing categories, except where prohibited by law for our mortgage, home equity and other home lending products. But this compensation does not influence the information we publish, or the reviews that you see on this site. We do not include the universe of companies or financial offers that may be available to you.

Majority of rates fall | Today's mortgage rates, September 6, 2024

• • Mortgages
• • Mortgage refinancing

The Bankrate promise

At Bankrate we strive to help you make smarter financial decisions. While we adhere to strict editorial integrity , this post may contain references to products from our partners. Here's an explanation for how we make money .

Founded in 1976, Bankrate has a long track record of helping people make smart financial choices. We’ve maintained this reputation for over four decades by demystifying the financial decision-making process and giving people confidence in which actions to take next.

Bankrate follows a strict editorial policy , so you can trust that we’re putting your interests first. All of our content is authored by highly qualified professionals and edited by subject matter experts , who ensure everything we publish is objective, accurate and trustworthy.

Our mortgage reporters and editors focus on the points consumers care about most — the latest rates, the best lenders, navigating the homebuying process, refinancing your mortgage and more — so you can feel confident when you make decisions as a homebuyer and a homeowner.

Editorial integrity

Bankrate follows a strict editorial policy , so you can trust that we’re putting your interests first. Our award-winning editors and reporters create honest and accurate content to help you make the right financial decisions.

Key Principles

We value your trust. Our mission is to provide readers with accurate and unbiased information, and we have editorial standards in place to ensure that happens. Our editors and reporters thoroughly fact-check editorial content to ensure the information you’re reading is accurate. We maintain a firewall between our advertisers and our editorial team. Our editorial team does not receive direct compensation from our advertisers.

Editorial Independence

Bankrate’s editorial team writes on behalf of YOU — the reader. Our goal is to give you the best advice to help you make smart personal finance decisions. We follow strict guidelines to ensure that our editorial content is not influenced by advertisers. Our editorial team receives no direct compensation from advertisers, and our content is thoroughly fact-checked to ensure accuracy. So, whether you’re reading an article or a review, you can trust that you’re getting credible and dependable information.

How we make money

You have money questions. Bankrate has answers. Our experts have been helping you master your money for over four decades. We continually strive to provide consumers with the expert advice and tools needed to succeed throughout life’s financial journey.

Bankrate follows a strict editorial policy , so you can trust that our content is honest and accurate. Our award-winning editors and reporters create honest and accurate content to help you make the right financial decisions. The content created by our editorial staff is objective, factual, and not influenced by our advertisers.

We’re transparent about how we are able to bring quality content, competitive rates, and useful tools to you by explaining how we make money.

Bankrate.com is an independent, advertising-supported publisher and comparison service. We are compensated in exchange for placement of sponsored products and services, or by you clicking on certain links posted on our site. Therefore, this compensation may impact how, where and in what order products appear within listing categories, except where prohibited by law for our mortgage, home equity and other home lending products. Other factors, such as our own proprietary website rules and whether a product is offered in your area or at your self-selected credit score range, can also impact how and where products appear on this site. While we strive to provide a wide range of offers, Bankrate does not include information about every financial or credit product or service.

Mortgage interest rates were mostly lower compared to a week ago, according to Bankrate data. Rates for 15-year fixed, 5/1 ARMs and jumbo mortgages moved lower, while rates for 30-year fixed mortgages stayed the same.

Market mortgage rates shift up and down as the economy changes, policymakers and investors digest new data and lenders decide how much risk they’re willing to tolerate on a given day.

Historical mortgage rates: How do today’s rates compare to years past?

Mortgage rates tumbled in August after a weaker jobs report spooked investors and fueled further expectation for a Federal Reserve rate cut in September. That expectation still stands.

The Fed doesn’t outright determine fixed mortgage rates , but its decisions matter. Mortgages tend to increase or decrease with the 10-year Treasury yield, the effective yield rate on 10-year Treasury notes. The 10-year yield rises when there’s less demand for notes — and this tends to happen when investors feel confident in the economy, including monetary policy.

Still, the Fed, inflation and yields shouldn’t necessarily drive your decision to buy or sell a home. There’s no surefire way to time the housing market, either. If you’re financially ready to move, check mortgage rates regularly to help find the lowest-cost lender.

30-year fixed-rate mortgage holds firm

Today's average 30-year fixed-mortgage rate is 6.38 percent, unchanged over the last seven days. A month ago, the average rate on a 30-year fixed mortgage was higher, at 6.51 percent.

At the current average rate, you'll pay a combined $624.20 per month in principal and interest for every $100,000 you borrow.

15-year mortgage rate moves down, -0.08%

The average rate you'll pay for a 15-year fixed mortgage is 5.68 percent, down 8 basis points over the last week.

Monthly payments on a 15-year fixed mortgage at that rate will cost approximately $827 per $100,000 borrowed.

5/1 ARM moves lower, -0.10%

The average rate on a 5/1 ARM is 5.99 percent, falling 10 basis points from a week ago.

Monthly payments on a 5/1 ARM at 5.99 percent would cost about $599 for each $100,000 borrowed over the initial five years.

Jumbo mortgage drops, -0.03%

The average rate for a 30-year jumbo mortgage is 6.54 percent, a decrease of 3 basis points from a week ago. A month ago, the average rate was above that at 6.70 percent.

At today's average jumbo rate, you'll pay a combined $634.70 per month in principal and interest for every $100,000 you borrow. Compared with last week, that's $1.98 lower.

30-year mortgage refinance holds firm

The average 30-year fixed-refinance rate is 6.35 percent, unchanged over the last week. A month ago, the average rate on a 30-year fixed refinance was higher at 6.52 percent.

At the current average rate, you'll pay $622.24 per month in principal and interest for every $100,000 you borrow.

When will mortgage rates go down?

With the widely-expected Fed cut in September, there’s room for mortgage rates to fall more for the remainder of this year and into next year.

“The expectation is that the Federal Reserve will be cutting interest rates multiple times over the next year or two, so a consistent downtrend in mortgage rates well into next year is a reasonable assumption,” says Greg McBride, CFA, chief financial analyst for Bankrate.

The sudden drop in rates in August spurred some homeowners to refinance, but that was short-lived. Homebuyers and homeowners largely plan to hold out for even lower rates, according to Bankrate’s recent Mortgage Rates Survey , which found that 47 percent of homeowners would need rates under 5 percent to feel comfortable buying a home in 2024.

For homeowners wondering whether to refinance, “the time to start thinking about it is when you can shave one-half to three-quarters of a percentage point off your rate,” McBride says.

More on current mortgage rates

• Mortgage rate trend predictions for this week
• Compare mortgage rates for today

Methodology

Bankrate displays two sets of rate averages that are produced from two surveys we conduct: one daily (“overnight averages”) and the other weekly (“Bankrate Monitor averages”).

The rates on this page represent our overnight averages. For these averages, APRs and rates are based on no existing relationship or automatic payments.

Learn more about Bankrate’s rate averages , editorial guidelines and how we make money .

An official website of the United States government

Personal Income and Outlays, July 2024

• News Release
• Related Materials
• Additional Information

Personal income increased $75.1 billion (0.3 percent at a monthly rate) in July, according to estimates released today by the U.S. Bureau of Economic Analysis (tables 2 and 3). Disposable personal income (DPI), personal income less personal current taxes, increased $54.8 billion (0.3 percent) and personal consumption expenditures (PCE) increased $103.8 billion (0.5 percent).

The PCE price index increased 0.2 percent. Excluding food and energy, the PCE price index increased 0.2 percent (table 5). Real DPI increased 0.1 percent in July and real PCE increased 0.4 percent; goods increased 0.7 percent and services increased 0.2 percent (tables 3 and 4).

The increase in current-dollar personal income in July primarily reflected an increase in compensation (table 2).

The $103.8 billion increase in current-dollar PCE in July reflected an increase of $59.3 billion in spending for services and $44.5 billion in spending for goods (table 2). Within services, the largest contributor to the increase was housing and utilities (led by housing). Within goods, the largest contributors to the increase were motor vehicles and parts as well as food and beverages. Detailed information on monthly PCE spending can be found on Table 2.4.5U .

Personal outlays —the sum of PCE, personal interest payments, and personal current transfer payments—increased $103.3 billion in July (table 2). Personal saving was $598.8 billion in July and the personal saving rate —personal saving as a percentage of disposable personal income—was 2.9 percent (table 1).

From the preceding month, the PCE price index for July increased 0.2 percent (table 5). Prices for goods decreased by less than 0.1 percent and prices for services increased 0.2 percent. Food prices increased 0.2 percent and energy prices increased by less than 0.1 percent. Excluding food and energy, the PCE price index increased 0.2 percent. Detailed monthly PCE price indexes can be found on Table 2.4.4U .

From the same month one year ago, the PCE price index for July increased 2.5 percent (table 7). Prices for goods decreased by less than 0.1 percent and prices for services increased 3.7 percent. Food prices increased 1.4 percent and energy prices increased 1.9 percent. Excluding food and energy, the PCE price index increased 2.6 percent from one year ago.

The 0.4 percent increase in real PCE in July reflected an increase of 0.7 percent in spending on goods and an increase of 0.2 percent in spending on services (table 4). Within goods, the largest contributor to the increase was motor vehicles and parts. Within services, the largest contributor to the increase was health care. Detailed information on monthly real PCE spending can be found on Table 2.4.6U .

Updates to Personal Income and Outlays

Estimates have been updated for April through June 1 . Revised and previously published changes from the preceding month for current-dollar personal income, and for current-dollar and chained (2017) dollar DPI and PCE, are provided below for May and June.

BEA will release results from the 2024 annual update of the National Economic Accounts, which include the National Income and Product Accounts as well as the Industry Economic Accounts, on September 26, 2024. The update will present revised statistics for GDP, GDP by Industry, and gross domestic income. Updated monthly personal income and outlays will be released on September 27, along with the August 2024 estimate. For details, refer to Information on 2024 Annual Updates to the National, Industry, and State and Local Economic Accounts .

1 Revised wage and salary data from the Bureau of Labor Statistics’ Quarterly Census of Employment and Wages program for January through March will be incorporated with the annual update of the National Economic Accounts on September 26, 2024.

*          *          *

Next release:  September 27, 2024, at 8:30 a.m. EDT Personal Income and Outlays, August 2024

Full Release & Tables (PDF)

Tables only (excel), release highlights (pdf), historical comparisons (pdf).

• Personal Income Lisa Mataloni  301-278-9083 [email protected]
• PCE Goods Kyle Brown 301-278-9086 [email protected]
• PCE Services Harvey Davis (301) 278-9719 [email protected]
• Media Connie O'Connell 301-278-9003 [email protected]

Additional Resources available at www.bea.gov :

• Stay informed about BEA developments by reading The BEA Wire , signing up for BEA's email subscription service , or following BEA on X, formerly known as Twitter @BEA_News .
• Historical time series for these estimates can be accessed in BEA's Interactive Data Application .
• Access BEA data by registering for BEA's Data Application Programming Interface (API).
• For more on BEA's statistics, see BEA's online journal, the Survey of Current Business .
• BEA's news release schedule
• NIPA Handbook : Concepts and Methods of the U.S. National Income and Product Accounts

Definitions

Personal income is the income received by, or on behalf of, all persons from all sources: from participation as laborers in production, from owning a home or business, from the ownership of financial assets, and from government and business in the form of transfers. It includes income from domestic sources as well as the rest of world. It does not include realized or unrealized capital gains or losses.

Disposable personal income  is the income available to persons for spending or saving. It is equal to personal income less personal current taxes. 

Personal consumption expenditures (PCE) is the value of the goods and services purchased by, or on the behalf of, "persons" who reside in the United States.

Personal outlays is the sum of PCE, personal interest payments, and personal current transfer payments.

Personal saving is personal income less personal outlays and personal current taxes.

The personal saving rate is personal saving as a percentage of disposable personal income.

Current-dollar estimates are valued in the prices of the period when the transactions occurred—that is, at "market value." Also referred to as "nominal estimates" or as "current-price estimates."

Real values are inflation-adjusted estimates—that is, estimates that exclude the effects of price changes.

For more definitions, refer to the Glossary: National Income and Product Accounts .

Statistical conventions

Annual rates. Monthly and quarterly values are expressed at seasonally-adjusted annual rates (SAAR). Dollar changes are calculated as the difference between these SAAR values. For detail, refer to the FAQ " Why does BEA publish estimates at annual rates? "

Month-to-month percent changes are calculated from unrounded data and are not annualized.

Quarter-to-quarter percent changes are calculated from unrounded data and are displayed at annual rates. For detail, refer to the FAQ " How is average annual growth calculated? " and " Why does BEA publish percent changes in quarterly series at annual rates? "

Quantities and prices. Quantities, or "real" volume measures, and prices are expressed as index numbers with a specified reference year equal to 100 (currently 2017). Quantity and price indexes are calculated using a Fisherchained weighted formula that incorporates weights from two adjacent periods (months for monthly data, quarters for quarterly data and annuals for annual data). For details on the calculation of quantity and price indexes, refer to Chapter 4: Estimating Methods in the NIPA Handbook.

Chained-dollar values are calculated by multiplying the quantity index by the current dollar value in the reference year (2017) and then dividing by 100. Percent changes calculated from real quantity indexes and chained-dollar levels are conceptually the same; any differences are due to rounding. Chained-dollar values are not additive because the relative weights for a given period differ from those of the reference year. In tables that display chained-dollar values, a "residual" line shows the difference between the sum of detailed chained-dollar series and its corresponding aggregate.

Watch CBS News

Mortgage rates fall to their lowest since April 2023. Here's where rates could head next.

By Aimee Picchi

Edited By Anne Marie Lee

August 28, 2024 / 9:53 AM EDT / CBS News

The Federal Reserve won't make its next rate decision until September 18, but homebuyers are already getting a break on borrowing costs, with the average rate for a 30-year fixed mortgage now at its lowest point since April 2023. 

The average rate on the most commonly used home loan dipped to 6.44% for the week ended August 23, the Mortgage Bankers Association said on Wednesday. 

With rates declining, more home hunters are applying for mortgages, the MBA said. Cheaper borrowing costs could lure some would-be buyers back into the market after many were priced out by the double whammy of high borrowing costs — mortgage rates sat above 7% earlier this year — and record-high home prices. 

Even though the Fed's next rate decision is still weeks away, mortgage rates are already declining because home loans are partially influenced by economic factors, such as the strength of the job market. Recent weak economic data, including an underwhelming July jobs report , have raised concerns that the U.S. economy is showing cracks under the strain of the highest federal funds rate in 23 years. 

"Rates have now come down more than 80 basis points from a year ago," or 0.8 percentage points, said Joel Kan, MBA's deputy chief economist. 

Still, purchase applications haven't changed much despite the lower rates and higher loan applications, he added. "Prospective homebuyers are staying patient now that rates are moving lower and for-sale inventory has started to increase," Kan said.

Where will mortgage rates go in 2024?

Economists are predicting that the Fed is likely to shave its benchmark rate at its September 18 meeting, although they're divided on whether the central bank will cut rates by 0.25 percentage points or 0.5 percentage points.

Regardless, a rate cut is likely to help revive the housing industry by helping to drive mortgage rates even lower, Moody's Analytics economist Mark Zandi wrote in a Monday research report. 

"Rates appear set to fall below 6% in coming months as the Fed cuts interest rates," Zandi said. 

Existing homeowners reluctant to sell

Still, one issue is the so-called mortgage rate lock, created when millions of homeowners refinanced their loans during the ultra-low mortgage rates available during the pandemic. Many homeowners locked in rates as low as 3%, which has provided a financial disincentive to sell their homes at a time when the mortgage rates are more than double that. 

Even if rates drop below 6%, Zandi pointed out, it is "still higher than most existing homeowners are paying on their mortgages, but it is increasingly clear that rates are not going to fall back to where they were during the pandemic."

Zandi predicted that as rates inch lower, more homeowners will be willing to move, given the demands of life changes such as job changes or growing families. 

"It is difficult to know how low mortgage rates must go to entice a homeowner with changed family circumstances to post a for-sale sign, but a rate with a 5% handle is probably sufficient," he noted.

• Mortgage Rates
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Aimee Picchi is the associate managing editor for CBS MoneyWatch, where she covers business and personal finance. She previously worked at Bloomberg News and has written for national news outlets including USA Today and Consumer Reports.

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Costco wholesale corporation reports august sales results.

ISSAQUAH, Wash., Sept. 05, 2024 (GLOBE NEWSWIRE) -- Costco Wholesale Corporation (“Costco” or the “Company”) (Nasdaq: COST) today reported net sales of $19.83 billion for the retail month of August, the four weeks ended September 1, 2024, an increase of 7.1 percent from $18.51 billion last year.

For the 16-week fourth quarter, the Company reported net sales of $78.2 billion, an increase of 1.0 percent compared to net sales of $77.4 billion in the 17-week fourth quarter of fiscal year 2023.

For the 52-week fiscal year ended September 1, 2024, the Company reported net sales of $249.6 billion, an increase of 5.0 percent from $237.7 billion reported in the 53-week fiscal year 2023.

Comparable sales were as follows:

Comparable sales excluding the impacts from changes in gasoline prices and foreign exchange were as follows:

Additional discussion of these results is available in a pre-recorded message. It can be accessed by visiting investor.costco.com (click on “Events & Presentations”). This message will be available through 4:00 p.m. (PT) on Thursday, September 12, 2024.

Costco currently operates 890 warehouses, including 614 in the United States and Puerto Rico, 108 in Canada, 40 in Mexico, 35 in Japan, 29 in the United Kingdom, 19 in Korea, 15 in Australia, 14 in Taiwan, seven in China, four in Spain, two in France, and one each in Iceland, New Zealand and Sweden. Costco also operates e-commerce sites in the U.S., Canada, the U.K., Mexico, Korea, Taiwan, Japan and Australia.

Certain statements contained in this document and the pre-recorded message constitute forward-looking statements within the meaning of the Private Securities Litigation Reform Act of 1995. For these purposes, forward-looking statements are statements that address activities, events, conditions or developments that the Company expects or anticipates may occur in the future. In some cases forward-looking statements can be identified because they contain words such as “anticipate,” “believe,” “continue,” “could,” “estimate,” “expect,” “intend,” “likely,” “may,” “might,” “plan,” “potential,” “predict,” “project,” “seek,” “should,” “target,” “will,” “would,” or similar expressions and the negatives of those terms. Such forward-looking statements involve risks and uncertainties that may cause actual events, results or performance to differ materially from those indicated by such statements. These risks and uncertainties include, but are not limited to, domestic and international economic conditions, including exchange rates, inflation or deflation, the effects of competition and regulation, uncertainties in the financial markets, consumer and small business spending patterns and debt levels, breaches of security or privacy of member or business information, conditions affecting the acquisition, development, ownership or use of real estate, capital spending, actions of vendors, rising costs associated with employees (generally including health-care costs and wages), energy and certain commodities, geopolitical conditions (including tariffs), the ability to maintain effective internal control over financial reporting, regulatory and other impacts related to climate change, public-health related factors, and other risks identified from time to time in the Company’s public statements and reports filed with the Securities and Exchange Commission. Forward-looking statements speak only as of the date they are made, and the Company does not undertake to update these statements, except as required by law. Comparable sales and comparable sales excluding impacts from changes in gasoline prices and foreign exchange are intended as supplemental information and are not a substitute for net sales presented in accordance with U.S. GAAP.

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Teen Vaping Trend Shows 10-Year Low

Recent polling information shows that the adolescent vaping rate fell to under 6 percent this year..

Fewer adolescents are vaping this year than at any point in the last decade, government officials reported. This indicates a shrinking number of high school students who are using fewer e- cigarettes .

The latest survey numbers show the teen vaping rate fell to under 6 percent this year, down from 7.7 percent in 2023. More than 1.6 million students reported vaping in the previous month--about one-third the number in 2019, when underage vaping peaked with the use of discrete, high-nicotine e-cigarettes like Juul.

This year's decline was mainly driven by a half-million fewer high school students who reported using e-cigarettes in the past month, officials said. Vaping was unchanged among middle schoolers, but remains less common in that group, at just 3.5 percent of students.

"This is a monumental public health win," FDA's tobacco director Brian King told reporters. "But we can't rest on our laurels. There's clearly more work to do to further reduce youth use."

King and other officials noted that the drop in vaping didn't coincide with a rise in other tobacco industry products, such as nicotine pouches.

Sales of small, flavored pouches like Zyn have surged among adults. The subject of viral videos on social media platforms, the pouches come in flavors like mint and cinnamon and slowly release nicotine when placed along the gumline. This year's U.S. survey shows 1.8 percent of teens are using them, largely unchanged from last year.

"Our guard is up," King said. "We're aware of the reported growing sales trends and we're closely monitoring the evolving tobacco product landscape."

The federal survey involved more than 29,000 students in grades 6 through 12 who filled out an online questionnaire in the spring. Health officials consider the survey to be their best measure of youth tobacco and nicotine trends. Thursday's update focused on vaping products and nicotine pouches, but the full publication will eventually include rates of cigarette and cigar smoking, which have also hit historic lows in recent years.

Officials from the FDA and Centers for Disease Control and Prevention attributed the big drop in vaping to recent age restrictions and more aggressive enforcement against retailers and manufacturers, including Chinese vaping companies who have sold their e-cigarettes illegally in the U.S. for years.

Use of the most popular e-cigarette among teens, Elf Bar, fell 36 percent in the wake of FDA warning letters to stores and distributors selling the brightly colored vapes, which come in flavors like watermelon ice and peach mango. The brand is part of a wave of cheap, disposable e-cigarettes from China that have taken over a large portion of the U.S. vaping market. The FDA has tried to block such imports, although Elf Bar and other brands have tried to find workarounds by changing their names, addresses and logos.

Teen use of major American e-cigarettes like Vuse and Juul remained significant, with about 12 percent of teens who vape reporting use of those those brands.

In 2020, FDA regulators banned fruit and candy flavors from reusable e-cigarettes like Juul, which are now only sold in menthol and tobacco. But the flavor restriction didn't apply to disposable products, and companies like Elf Bar stepped in to fill the gap.

Other key findings in the report:

-- Among students who current use e-cigarettes, about 26 percent said they vape daily.

-- Nearly 90 percent of the students who vape used flavored products, with fruit flavors as the overwhelming favorite.

-- Zyn is the most common nicotine pouch among teens who use the products.

Copyright 2024. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.

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Your body ages rapidly in two 'bursts,' at 44 and 60. Here's how to prepare.

A new study shows that aging isn't a totally gradual or linear process. While the research comes with caveats, the findings could help us age more gracefully.

In a   newly published study, Stanford scientists reveal we don't age gradually, as has been traditionally believed. Instead, we age at two significant "bursts" across our post-puberty lifespan: one in our mid-40s, the other in our early 60s.  

The molecular changes that occur during each period could explain seeming sudden signs of aging such as the appearance of wrinkles, sagging skin, graying hair, muscle and joint pain, and increased vulnerability to viral infections.

“This study reveals why many people start to 'feel' their age rather suddenly," explains John Whyte, a family medicine physician   and a former director for the U.S. Food and Drug Administration, who was not involved in the research. At the same time, he says, it “challenges the traditional view that aging is a slow, continuous process."  

( When does old age begin, though? Science says it's later than you think .)

David Sinclair, a molecular geneticist, longevity researcher, and professor at Harvard Medical School, who was also not involved in the research, puts it more pointedly: "The research seems to fly in the face of current models of aging, particularly   the epigenetic clock   and other gradual and linear changes such as steady increases in blood sugar levels."  

And while the study may not apply to everyone, Sinclair calls its findings "provocative" and says it indeed shows "large shifts in our biology in our 40s and 60s relative to other times of life post puberty."

The study also follows an evolving scientific view about how we age as other studies have pointed to similar periods where sudden aging seems to occur. "Plenty of research has shown that changes related to aging may occur more suddenly during certain times in our lives," explains Mitch McVey, a biologist at Tufts University who specializes in DNA repair and molecular mechanisms linked to aging, who wasn't involved in the research.

One of the Stanford study's authors, microbiome scientist Xiaotao Shen, says the team’s work also builds on previous findings, “collectively demonstrating that aging is nonlinear.”

But these findings don’t have to make you dread hitting your 40s and 60s. Understanding how and when we age can help individuals and healthcare professionals take specific steps to prevent—or at least prepare for—some of the most undesirable outcomes of aging.  

How changes at the molecular level affect you

For nearly two years, the Stanford scientists behind the research measured   molecular activity by analyzing the microorganisms contained in blood, skin, nose, mouth, and gut samples that were taken every three to six months from 108 study participants of various ethnic backgrounds, whose ages ranged from 25 to 75.  

The scientists used the samples to examine more than   135,000 different molecules and microbes including metabolites, lipids, proteins, and precursors to proteins (RNA molecules) that are known to be associated with immune health, cardiovascular function, metabolism, kidney function,   and muscle and skin structure.  

( It's not your life span you need to worry about. It's your health span .)

Altogether, the samples formed some 246 billion data points (biomarkers) for the team to measure across the 50-year age span of the participants. "We were looking for when changes and disruptions most commonly occurred at a molecular and biochemical level," explains Michael Snyder, a co-author of the study and the chair of the department of genetics at Stanford Medicine.  

The results show that 81 percent of the molecules didn't change continuously—as would be expected with linear aging—but instead transformed significantly around ages 44 and 60.  

At age 44, some of the observed changes occurred in cells affecting metabolism—which could explain why we have a harder time absorbing and processing caffeine and alcohol as we get older; fatty tissue proteins—which could explain higher cholesterol levels and unexpected weight gain in middle age; and connective tissue proteins associated with skin and muscle structure—which could explain why skin starts to sag, wrinkles appear, and "why people have more issues related to muscle strain and injuries," explains Snyder.

At age 60, the team observed more of those same molecular changes along with notable new fluctuations in molecules related to kidney function and immune health. This, Snyder says, could explain why older adults are more vulnerable to diseases like COVID-19 and why cancer rates, kidney issues, and cardiovascular disorders increase so dramatically in our 60s.  

Samuel Lin, an associate professor of surgery at Harvard Medical School and a plastic surgeon at Beth Israel Deaconess Medical Center in Boston, who was not involved in the research, explains that the molecular changes that suddenly occur during the first aging burst may be further exacerbated when we hit our 60s—with each period resulting in visible outcomes such as declining collagen and elastin production, reduced melanin, and hormonal changes that contribute to diminished skin quality and the graying and thinning of hair.

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"These visible signs of aging are direct results of the underlying molecular and microbial shifts occurring within our bodies," he says.  

Beyond the visible, Lin notes that shifts in microbial communities throughout the body can also promote inflammation—a key factor in many age-related disorders and chronic conditions.

Identifying such molecular changes occurring at these two distinct periods "is   useful because it tells us what things are likely to go wrong at these stages of our lives," says Venki Ramakrishnan, a Nobel prize-winning scientist and author of Why We Die: The New Science of Aging and the Quest for Immortality , who was not involved in the research.  

Limitations and unanswered questions

Despite the benefits this knowledge could bring, the study has a number of limitations and leaves important questions unanswered.

For instance, one major caveat is that all the study participants live in California—increasing the likelihood of their having shared backgrounds, lifestyles, and similar environmental factors. "Because of this, our cohort may not fully represent the diversity of the broader population," says Shen.  

The molecular changes observed in the study were also only tracked across multiple individuals of varying ages rather than within the same individuals over time. This missing piece may be essential because previously published Stanford research shows that everyone ages differently, so the study's results may be different in the same   individual   tracked for decades.  

The study also did not include any participants over age 75, "which means it doesn't account for aging patterns in the later stages of life," adds Lin.  

( What your biological age can reveal about your health .)

Of significant note, the research also doesn't get to the root of what’s causing these changes and doesn’t account for variations in diet or behavioral shifts such as someone experiencing high amounts of stress or diminished sleep quality. It also doesn’t consider whether a person smokes, drinks, or takes prescription medications that might also explain some of these molecular alterations.

In fact,   other research shows   that some people experience a "midlife crisis" in their late 30s and early 40s or a "late-life crisis" in their late 50s and early 60s—two time periods that coincide with these aging "bursts." In other words, "it's possible that associated psychological and lifestyle changes may be responsible for these changes in aging and not due to our inherent biology," explains Sinclair.  

Can these bursts of aging be prevented?  

Regardless of what’s behind these molecular changes, "the underlying causes of aging are very likely ones we have already identified," says Ramakrishnan, so we have a good idea about what can be done to prevent some of its most undesirable outcomes.

For one, Shen advises reducing your alcohol and caffeine intake when nearing your 40s or 60s as it becomes harder for the body to metabolize both substances.

Snyder recommends keeping an especially close eye   on cholesterol levels and speaking with your healthcare provider as you enter your 40s about medications that may be effective in managing it and reducing other fats in the blood.  

( What lifting weights does to your body—and your mind .)

He also stresses the importance of regular exercise, "especially lifting weights to keep muscle mass," as well as drinking more water to counteract age-related kidney issues and consuming more antioxidant-rich foods to reduce adverse effects of oxidative stress.

Sinclair suggests limiting red meat and processed meat intake, eating more vegetables, prioritizing sleep, minimizing stress, keeping excess weight off, and staying active.  

Also consider using skincare products that contain retinoids or antioxidants like vitamin C, "which can help maintain skin health by boosting collagen production and reducing free radical damage," advises Lin.

"While we cannot stop the aging process," he adds, "understanding the molecular changes highlighted in this research empowers us to take steps that can enhance our quality of life and help us age more gracefully."

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Where Kamala Harris Stands on the Issues: Abortion, Immigration and More

She wants to protect the right to abortion nationally. Here’s what else to know about her positions.

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By Maggie Astor

• Published July 21, 2024 Updated Aug. 24, 2024

With Vice President Kamala Harris having replaced President Biden on the Democratic ticket, her stances on key issues will be scrutinized by both parties and the nation’s voters.

She has a long record in politics: as district attorney of San Francisco, as attorney general of California, as a senator, as a presidential candidate and as vice president.

Here is an overview of where she stands.

Ms. Harris supports legislation that would protect the right to abortion nationally, as Roe v. Wade did before it was overturned in 2022, in Dobbs v. Jackson Women’s Health Organization.

After the Dobbs ruling, she became central to the Biden campaign’s efforts to keep the spotlight on abortion, given that Mr. Biden — with his personal discomfort with abortion and his support for restrictions earlier in his career — was a flawed messenger. In March, she made what was believed to be the first official visit to an abortion clinic by a president or vice president.

She consistently supported abortion rights during her time in the Senate, including cosponsoring legislation that would have banned common state-level restrictions, like requiring doctors to perform specific tests or have hospital admitting privileges in order to provide abortions.

As a presidential candidate in 2019, she argued that states with a history of restricting abortion rights in violation of Roe should be subject to what is known as pre-clearance for new abortion laws — those laws would have to be federally approved before they could take effect. That proposal is not viable now that the Supreme Court has overturned Roe.

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