year 5 rounding decimals problem solving

Rounding Decimals: Reasoning and Problem Solving

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Resources tagged with: Rounding

There are 9 NRICH Mathematical resources connected to Rounding , you may find related items under Place value and the number system .

Reasoned Rounding

Four strategy dice games to consolidate pupils' understanding of rounding.

Round the Dice Decimals 1

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Round the Three Dice

What happens when you round these three-digit numbers to the nearest 100?

Round the Two Dice

This activity focuses on rounding to the nearest 10.

Round the Dice Decimals 2

What happens when you round these numbers to the nearest whole number?

Round the Four Dice

This activity involves rounding four-digit numbers to the nearest thousand.

Rough Rectangle

What is the smallest possible area that this rectangle could have?

Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

Route to Root

A sequence of numbers x1, x2, x3, ... starts with x1 = 2, and, if you know any term xn, you can find the next term xn+1 using the formula: xn+1 = (xn + 3/xn)/2 . Calculate the first six terms of this sequence. What do you notice? Calculate a few more terms and find the squares of the terms. Can you prove that the special property you notice about this sequence will apply to all the later terms of the sequence? Write down a formula to give an approximation to the cube root of a number and test it for the cube root of 3 and the cube root of 8. How many terms of the sequence do you have to take before you get the cube root of 8 correct to as many decimal places as your calculator will give? What happens when you try this method for fourth roots or fifth roots etc.?

Keystage2maths.com

Free teaching resources and video tutorials for every topic in the Key Stage 2 Maths curriculum

Year 5 Decimals

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Year 5 Maths Worksheets UK Hub Page

Welcome to our Year 5 Maths Worksheets area.

Here you will find a wide range of free printable Maths Worksheets for pupils in Year 5, and Math activities for your child to enjoy.

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Year 5 Maths Learning

Here are some of the key learning objectives for the end of Year 5:

• know and use Place value up to 1 million
• Compare and order numbers up to 1 million
• Counting on and back in steps of powers of 10 from any number up to 1 million
• Round numbers to the nearest 10, 100, 1000, 10000 or 100000.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000
• add and subtract with more than 4 digits in columns
• add or subtract larger numbers mentally
• solve multi-step problems using addition and subtraction
• Multiply and divide whole numbers and decimals up to 2dp by 10, 100 or 1000
• identify multiples and factors including common factors
• multiply up to 4-digit numbers by a 1-digit number
• multiply up to 3-digits numbers by 2-digits
• divide numbers up to 4-digits by a 1-digit number
• recognise and use squared and cubed numbers
• solve problems using multiplication and division
• know what a prime number is and recall prime numbers up to 20
• compare and order fractions whose denominators are multiples of the same number
• identify, name and write equivalent fractions
• convert between mixed numbers and improper fractions
• add and subtract fractions with the same denominator or whose denominators are multiples of the same number
• multiply proper fractions and mixed numbers by whole numbers
• read and write decimal numbers as fractions.
• Multiply and divide whole numbers and decimals by 10, 100 or 1000
• read, write, order and compare numbers up to 2dp
• round decimals with up to 2dp to the nearest whole
• solve problems with numbers up to 2dp
• understand and use the percent symbol
• convert percentages to fractions with a denominator of 100
• know fraction-percentage equivalence for halves, quarters, fifths and tenths
• solve problems using simple percentages
• measure, compare and calculate using different measures
• find the area and perimeter of a range of rectilinear shapes
• convert between different units of time
• convert between different units of metric measure
• convert between simple imperial and metric units
• solve more complex money and measure problems
• draw and measure angles in degrees
• know the sum of angles at a point (360°rees;) and angles at a point along a line (180°rees;)
• identify 3D shapes from 2D representations
• Identify, describe and represent the position of a shape following a reflection or translation
• find the area and perimeter of composite rectilinear shapes
• know properties of regular and irregular shapes

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Year 5 is generally equivalent to 4th Grade in the US.

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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.

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Place Value & Number Sense Zone

Year 5 place value worksheets.

Using these Year 5 maths worksheets will help your child to:

• Understand decimals;
• Use place value notation with tenths and hundredths;
• Know how to read and write numbers to 10 million;
• Understand place value to 10 million.
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Year 5 Number Worksheets

Using these Year 5 Maths worksheets will help your child to:

• learn to estimate and approximate;
• order numbers, including negative numbers and decimals;
• learn how to place decimal numbers on a number line;
• understand and use multiples and factors, and know what a prime number is;
• complete the missing number to balance a math equation.
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• Rounding Decimals to the nearest whole
• Rounding to the nearest tenth
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Year 5 Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 10;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting on and back by tens

Year 5 Mental Maths Zone

Here you will find a range of printable Year 5 mental maths sheets for your child to enjoy.

Each quiz tests the children on a range of maths 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 test or math quiz!

• Year 5 Mental Maths Worksheet

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Year 5 Addition Worksheets

• add multiple numbers in columns up to 5 digits;
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• learn to subtract numbers with up to 5 digits;
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Year 5 Multiplication Worksheets

Using these 4th grade math worksheets will help your child to:

• use their multiplication table knowledge to multiply by 10s and 100s mentally
• multiply any whole number by a single digit;
• multiply a two or three digit number by a two digit number.
• Times Table Worksheets Circles 1 to 12 tables
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Using these Year 5 maths worksheets will help your child learn to:

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Year 5 Math Problems

• apply their addition, subtraction and problem solving skills;
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• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

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

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Year 5 Percentage Worksheets

Year 5 fraction worksheets.

• position different fractions on a number line;
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• classify triangles - acute, obtuse, right;
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• know the properties of regular and irregular shapes
• plot and write coordinates in the first quadrant.
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Year 5 measurement worksheets.

Using these sheets will help your child understand how to:

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• read a scale going up in a range of fractions: halves, quarters and eighths;
• read a scale going up in tenths, fives, tens, fifties, and hundreds.
• 4th Grade Measurement Worksheets
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Using the sheets in this section will help your child to:

• tell the time to the nearest minute;
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• add and subtract time intervals.
• Telling Time Worksheets Grade 4 (1 minute intervals)
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On this webpage there is a selection of printable 24 hour (military time) conversion worksheets which will help you learn to convert from 24 hour clock to standard 12 hour time, and from standard time to 24 hour time.

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Here you will find our selection of harder time puzzles.

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Using these 4th grade math worksheets will help you to:

• draw and read bar graphs with increasingly complex numbers;
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Year 5 Maths Puzzles

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Math Salamanders Year 5 Maths Games Ebook

Our Year 5 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!

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Year 5 Rounding Decimals Maths Challenge

This Year 5 Rounding Decimals Maths Challenge checks your child’s understanding of rounding decimals while developing their problem solving ability. Children will use the clues given to work out the decimal numbers.

If you would like to access additional resources which link to this maths challenge, you can purchase a subscription for only £5.31 per month on our sister site, Classroom Secrets .

Teacher Specific Information

This Year 5 Rounding Decimals Maths Challenge checks pupils’ understanding of rounding decimals while developing their problem solving abilities. Pupils will use the clues given to work out the decimal numbers.

National Curriculum Objectives

Fractions (including decimals and percentages) (5F7) Round decimals with two decimal places to the nearest whole number and to one decimal place

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Rounding Worksheets

Rounding worksheets for grades 1-5.

Our rounding worksheets provide practice in rounding numbers to different place values (nearest ten, nearest 100, ...). In later grades the exercises are similar, but with larger numbers.

Choose your grade / topic:

Grade 1: Rounding worksheets

Grade 2: Rounding worksheets

Grade 3: Rounding worksheets  

Grade 4: Rounding worksheets

Grade 5: Rounding worksheets

Topics include:

Grade 1 rounding worksheets

• Rounding numbers to the nearest 10

Grade 2 rounding worksheets

• Rounding numbers to the nearest 10 within 0-100
• Rounding numbers to the nearest 10 within 0-1,000
• Rounding numbers to the nearest 100 within 0-1,000
• Rounding numbers to the nearest 10 or 100 within 0-1,000

Grade 3 rounding worksheets

• Rounding numbers to the nearest 100 within 0-10,000
• Mixed rounding - round to the underlined digit (10's, 100's)
• Mixed rounding - round to the underlined digit (10's, 100's, 1000's)

Grade 4 rounding worksheets

• Rounding numbers to the nearest 1,000 within 0-10,000
• Rounding numbers to the nearest 10,000 within 0-1,000,000
• Mixed rounding - round to the underlined digit
• Estimating and rounding word problems

Grade 5 rounding worksheets

• Rounding numbers to the nearest 10 within 0-10,000
• Rounding numbers to the nearest 100 within 0-1,000,000
• Rounding numbers to the nearest 1,000 within 0-1,000,000
• Mixed rounding - round to the underlined digit (up to nearest million)

Related topics

Place value worksheets

Sample Rounding Worksheet

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Review articles, unit 1: proportional relationships, unit 2: rates and percentages, unit 3: integers: addition and subtraction, unit 4: rational numbers: addition and subtraction, unit 5: negative numbers: multiplication and division, unit 6: expressions, equations, & inequalities, unit 7: statistics and probability, unit 8: scale copies, unit 9: geometry.

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Decimals Reasoning and Problem Solving

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

4 April 2022

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These problems will give your Year 6 pupils the opportunity to reason and solve problems with decimals.

This is a sample resource.

For a full year’s worth of reasoning and problem solving for Year 6 please see:

https://www.tes.com/teaching-resource/reasoning-and-problem-solving-for-year-6-12201133

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We are pleased to let you know that your resource Decimals Reasoning and Problem Solving, has been hand-picked by the Tes resources content team to be featured in https://www.tes.com/teaching-resources/blog/fluency-reasoning-and-problem-solving-primary-maths in April 2024 on https://www.tes.com/teaching-resources/blog. Congratulations on your resource being chosen and thank you for your ongoing contributions to the Tes Resources marketplace.

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