year 8 maths problem solving pdf

Year 8 Maths Worksheets

Download free Year 8 Maths worksheets to help children master Maths.

Year 8 Maths Worksheets Downloads

Below you can download free worksheets for Year 8 maths. All the worksheets are printable PDFs that are fully compliant with the national curriculum . Full answers are included within the marking schemes.

The worksheets are split into 'core' , 'foundation' and 'higher' levels so ensure that your child completes the correct worksheets.

We encourage parents to use these free Year 8 Maths worksheets with their children at home. With a little extra homework practising mental arithmetic and problem solving, children will feel much more confident about their Maths.

These worksheets aim to tackle all the relevant Year 8 maths topics and include a wide variety of challenging Year 8 Maths questions.

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

Year 8 Solving Equations Worksheets

Maths Worksheets / Algebra Worksheets / Year 8 Solving Equations Worksheets

Solving Equations with Algebraic Perimeters

Solving Linear Equations (A)

Solving Linear Equations (B)

Find the Values

Forming and Solving Equations (A)

Forming and Solving Equations involving Angles

I Think of A Number Problems

Solving Equations 15 Minute Challenge

Solving Equations Involving Area of Rectangles

Solving Equations Involving Brackets

Solving Linear Equations (C)

Solving Linear Simultaneous Equations

Trial and Improvement (A)

Trial and Improvement (B)

Get 20 FREE MATHS WORKSHEETS

Fill out the form below to get 20 FREE maths worksheets!

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• Year 8 Maths Worksheets

Year 8 maths worksheets – 72 free, editable printables

Editable Word docs

Distribute these Year 8 maths worksheets weekly for homework assignments or incorporate them into classroom activities to support students in honing essential mathematical skills.

There are six booklets in total – two for each term.

Term one comprises 14 worksheets, term two has ten, and term three includes 12, each containing 20 questions. With a total of over 1,000 questions, this material is sufficient for two complete cycles of 36 weeks’ worth of homework.

Other year groups

Check out similar worksheet packs for Years 7 , 9 and GCSE maths . You can also download 100+ problem-solving questions in our  KS3 maths worksheets pack  from White Rose Maths.

Year 8 maths worksheets

Each worksheet covers the following 20 topics:

Term 1 – scheme 1 and 2

• Percentage calculations
• Fraction, decimal, percentage conversion
• Angle measuring & drawing
• Angle calculations
• Expressions & formulae
• Simplifying
• Substitution
• Probability
• Times tables

Term 2 – scheme 1 and 2

• Powers and roots
• Graphs and travel
• Percentages
• Expressions
• Metric & imperial units
• Perimeter & area
• Coordinates
• Straight line graphs
• Order of operations
• Using a calculator
• Transformations

Term 3 – scheme 1

• Graphs & travel
• Perimeter and area
• Coordinates & straight line graphs
• Rounding & estimation
• Decimal calculations & BIDMAS
• Averages & stem & leaf
• Solving equations
• Plans & elevations
• Pie charts & scatter graphs

Term 3 – scheme 2

• Decimals & BIDMAS
• Stem & leaf
• Practical patterns

Peter Mattock is an assistant head and author of Visible Maths . Contact Peter to request answers for these worksheets.

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Year 8 Maths Worksheets

Practice makes perfect: so hone your maths skills with our practice questions.

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• Practice Tests
• Year 8 Maths: printable worksheets

Download your free worksheets here:

• time calculations
• probability
• geometry  Download worksheet >>

Year 8 General Maths Practice 2 Want more? Test yourself with these next 20 questions with answers, covering the full range of numeracy at a Year 8 level. You'll be answering questions on:

• area and volume
• measurement
• time and distance
• general number sense Download worksheet >>

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Free Printable Math Word Problems Worksheets for 8th Year

Math Word Problems: Discover a vast collection of free printable worksheets for Year 8 students, created by Quizizz. Enhance your students' problem-solving skills and mathematical understanding with these comprehensive resources.

Recommended Topics for you

• Addition Word Problems
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• Time Word Problems
• Money Word Problems
• Data Word Problems
• Performance Tasks

Explore Math Word Problems Worksheets by Grades

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Explore printable Math Word Problems worksheets for 8th Year

Math Word Problems worksheets for Year 8 are an essential resource for teachers looking to challenge their students and help them develop critical thinking and problem-solving skills. These worksheets cover a wide range of topics, including algebra, geometry, and statistics, ensuring that students have a solid foundation in math. By incorporating real-life scenarios and engaging themes, these worksheets not only make math more relatable but also help students see the practical applications of the concepts they are learning. Teachers can easily incorporate these worksheets into their lesson plans, using them as supplementary material, homework assignments, or even as assessment tools. With a variety of difficulty levels and question types, Math Word Problems worksheets for Year 8 cater to the diverse needs of students and ensure that they are well-prepared for future math courses.

Quizizz is a fantastic platform that offers not only Math Word Problems worksheets for Year 8 but also a plethora of other resources for teachers to enhance their students' learning experience. With Quizizz, teachers can create interactive quizzes, polls, and presentations to engage students and make learning fun. The platform also allows teachers to track their students' progress and identify areas where they may need additional support. In addition to Math Word Problems worksheets for Year 8, Quizizz offers resources for other subjects and grade levels, making it a one-stop-shop for all your educational needs. The user-friendly interface and customizable features make Quizizz an invaluable tool for teachers looking to incorporate technology into their classrooms and provide their students with a dynamic and interactive learning experience.

Year 8 Maths math worksheets pdf

Math worksheets for year 8 students - Secondary school math worksheets for UK schools - Free year 8 math questions - Math for year 8.

Expansions Factorisations

Practice expansions factorisations with this free printable math worksheet.

Print here >>>

Linear Equations

Practice linear equations with this free printable math worksheet.

Practice logs with this free printable math worksheet.

Order of Operations

Practice order of operations with this free printable math worksheet.

Quadratic Formular

Practice quadratic formular with this free printable math worksheet.

Remainder Theorem

Practice remainder theorem with this free printable math worksheet.

Simultaneous Equations

Practice simultaneous equations with this free printable math worksheet.

Subject of Formula

Practice subject of formula with this free printable math worksheet.

Financial Arithmetic

Practice financial arithmetic with this free printable math worksheet.

Converting Decimals to Fractions

Practice converting decimals to fractions with this free printable math worksheet.

Converting Fractions to Decimals

Practice converting fractions to decimals with this free printable math worksheet.

Converting Fractions to Percents

Practice converting fractions to percents with this free printable math worksheet.

Converting Percentage to Decimals

Practice converting percentage to decimals with this free printable math worksheet.

Decimal Addition

Practice decimal addition with this free printable math worksheet.

Decimal Division

Practice decimal division with this free printable math worksheet.

Decimals Multiplication

Practice decimals multiplication with this free printable math worksheet.

Decimals Subtraction

Practice decimals subtraction with this free printable math worksheet.

Pre Algebra Adition Decimals2

Practice pre algebra adition decimals2 with this free printable math worksheet.

Pre Algebra Adition Decimals 3

Practice pre algebra adition decimals 3 with this free printable math worksheet.

Pre Algebra Adition Decimals

Practice pre algebra adition decimals with this free printable math worksheet.

Adding Fractions

Practice adding fractions with this free printable math worksheet.

Equivalent Fractions

Practice equivalent fractions with this free printable math worksheet.

Fractions Addition

Practice fractions addition with this free printable math worksheet.

Fractions Multiplication

Practice fractions multiplication with this free printable math worksheet.

Fractions Simplification

Practice fractions simplification with this free printable math worksheet.

Fractions Subtraction

Practice fractions subtraction with this free printable math worksheet.

Impropper Fraction Comparisons

Practice impropper fraction comparisons with this free printable math worksheet.

Circumference Area

Practice circumference area with this free printable math worksheet.

Complementary Supplementary Angles

Practice complementary supplementary angles with this free printable math worksheet.

L Shapes Perimeter Area

Practice l shapes perimeter area with this free printable math worksheet.

Perimeter Area of Squares

Practice perimeter area of squares with this free printable math worksheet.

Surface Area of Complex Figures

Practice surface area of complex figures with this free printable math worksheet.

Triangle Perimeter Area

Practice triangle perimeter area with this free printable math worksheet.

Volume of Cylinder

Practice volume of cylinder with this free printable math worksheet.

Linear Inequalities

Practice linear inequalities with this free printable math worksheet.

Absolute Values

Practice absolute values with this free printable math worksheet.

Add Divide Multiply Intergers

Practice add divide multiply intergers with this free printable math worksheet.

Adding Integers

Practice adding integers with this free printable math worksheet.

Comparisons

Practice comparisons with this free printable math worksheet.

Integer Equations

Practice integer equations with this free printable math worksheet.

Ordering Intergers

Practice ordering intergers with this free printable math worksheet.

Cm Mm Scale

Practice cm mm scale with this free printable math worksheet.

Metric System Converting Scales

Practice metric system converting scales with this free printable math worksheet.

Us Metric System

Practice us metric system with this free printable math worksheet.

Decimal Number Patterns

Practice decimal number patterns with this free printable math worksheet.

Mixed Decimal Number Patterns2

Practice mixed decimal number patterns2 with this free printable math worksheet.

Mixed Decimal Number Patterns

Practice mixed decimal number patterns with this free printable math worksheet.

Mixed Patterns

Practice mixed patterns with this free printable math worksheet.

Number Patterns Higher

Practice number patterns higher with this free printable math worksheet.

Number Patterns

Practice number patterns with this free printable math worksheet.

Greatest Common Factor

Practice greatest common factor with this free printable math worksheet.

Greatest Common Factor_1

Practice greatest common factor with this free printable math worksheet_1.

Least Common Multiple

Practice least common multiple with this free printable math worksheet.

Number System

Practice number system with this free printable math worksheet.

Percents of Numbers

Practice percents of numbers with this free printable math worksheet.

Ratio Percent Decimals Fractions Convertions

Practice ratio percent decimals fractions convertions with this free printable math worksheet.

Practice ratios with this free printable math worksheet.

Powers Exponents

Practice powers exponents with this free printable math worksheet.

Practice powers with this free printable math worksheet.

Scientific Notation 1

Practice scientific notation 1 with this free printable math worksheet.

Scientific Notation 2

Practice scientific notation 2 with this free printable math worksheet.

Scientific Notation 3

Practice scientific notation 3 with this free printable math worksheet.

Square Roots

Practice square roots with this free printable math worksheet.

Number Problems

Practice number problems with this free printable math worksheet.

Pre Algebra Adition

Practice pre algebra adition with this free printable math worksheet.

Pre Algebra Division Decimals

Practice pre algebra division decimals with this free printable math worksheet.

Pre Algebra Multiplication Addition

Practice pre algebra multiplication addition with this free printable math worksheet.

Pre Algebra Subtraction 1

Practice pre algebra subtraction 1 with this free printable math worksheet.

Probability

Practice probability with this free printable math worksheet.

Practice sets with this free printable math worksheet.

Triangle Sides Pythagorean Theoream 6

Practice triangle sides pythagorean theoream 6 with this free printable math worksheet.

Triangle Sides Pythagorean Theorem 1

Practice triangle sides pythagorean theorem 1 with this free printable math worksheet.

Triangle Sides Pythagorean Theorem 2

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Triangle Sides Pythagorean Theorem 3

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Triangle Sides Pythagorean Theorem 4

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Triangle Sides Pythagorean Theorem 5

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Triangle Sides Pythagorean Theorem 7

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Percents and Ratios

Practice percents and ratios with this free printable math worksheet.

Coordinate Geometry

Practice coordinate geometry with this free printable math worksheet.

Coordinates 1

Practice coordinates 1 with this free printable math worksheet.

Coordinates 2

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Coordinates 3

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Data On Graph

Practice data on graph with this free printable math worksheet.

Graphing Linear Equations

Practice graphing linear equations with this free printable math worksheet.

Graphs Locate In X Y

Practice graphs locate in x y with this free printable math worksheet.

Ploting Graphs

Practice ploting graphs with this free printable math worksheet.

Table of Data 1

Practice table of data 1 with this free printable math worksheet.

Table of Data 2

Practice table of data 2 with this free printable math worksheet.

Table of Data 3

Practice table of data 3 with this free printable math worksheet.

This page features maths for year 8 worksheets in pdf printable format. This is secondary school math the features worksheets on slightly more advanced operations than the ones we encountered in earlier levels. Our worksheets cover the following math topics: Pythagorean equation worksheets for year 8, linear equations sheets, logarithms, order of operations with Bodmas applied, quadratic equations worksheets, the remainder theorem worksheets for grade 8, scientific notation, simultaneous equations, making variables the subject of the formula, financial math problems, how to convert decimals to fraction values, converting fractions to decimals worksheets, geometry of complex figures and more. At year 8 math level, some children are already very independent and can find their way though it with little assistance. However, some students still need extra practice while at home or in the classroom. That is where we come in to provide a solution with our collection of free math worksheets. Each worksheet contains an answer key which can be used for references, hence making these worksheets easy for teachers and parents to use. Our layout is easy to navigate. Simple scroll down the page to find the specific skill you are in search of. Click on the thumbnail or the print button right below each sheet. Print out the worksheet following standard printing procedure. Distribute the sheets to your students and specify the time the exam will take. Use the answer key to check the overall performance.

We offer PDF sheets in the highest quality.

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Maths Problem Solving Booklets

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

23 August 2022

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Maths problem solving booklets covering a wide range of mathematical problems designed to improve problem solving strategies as well as numeracy and mathematical ability.

Designed to be printed as A5 booklets.

Disclaimer: These are free because the problems are from a wide variety of sources, most of which I have forgotten. I am a maths problem magpie and collect maths problems wherever I find them. All I have done is bundled these ones up to make it convienent.

If you find a problem that is yours and you don’t want it used please comment and I’ll remove it - cheers.

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Math Word Problems with Answers - Grade 8

Grade 8 math word problems with answers are presented. Also solutions and explanations are included.

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FREE daily maths challenges

A new KS2 maths challenge every day. Perfect as lesson starters - no prep required!

Free Year 8 Maths Test With Answers and Mark Scheme

Beki Christian

This year 8 maths test is suitable for the majority of year 8 students and contains questions on a wide variety of topics. The test includes both procedural questions and applied problems.

This test is designed to be taken at the end of year 8. If you’re looking for a test for the start of year 8 we recommend you download the free year 7 maths test instead as it will provide a much fairer assessment of what students know.

What topics are likely to be covered in Year 8 maths

The maths that students learn in year 8 builds on the maths that they will have learnt in year 7. They will cover topics from across all of the 6 areas of maths; number, ratio and proportion, algebra, geometry, statistics and probability. 

By year 8, students are more familiar with the concept of algebra meaning this can be studied in a more formal way and also used to solve simple problems. Topics that may be introduced for the first time in year 8 include prime factors, HCF and LCM, indices, inequalities, area of a trapezium and a circle, angles in polygons and  Pythagoras theorem.

Check out our comprehensive revision guides and maths worksheets for these topics here: 

• Prime factors
• HCF and LCM
• Inequalities
• Area of a trapezium
• Area of a circle
• Angles in polygons
• Pythagoras theorem

Year 8 Maths Test

Download a free end of term Year 8 maths test with 16 practice maths questions

Year 8 maths questions

Students in year 8 are expected to answer a variety of questions. Some questions will be procedural and will focus on learning and practising new methods. Other questions will ask students to apply their knowledge to solve problems. By year 8, most students should be comfortable with areas of numeracy such as mental and written methods, fractions, decimals and percentages and can be challenged to solve multi-step problems in these areas. 

About this Year 8 maths test

Our year 8 test contains 16 questions of increasing difficulty. The test begins with questions accessible to the vast majority of year 8 students and the questions get progressively more challenging. The maths topics covered in the test are listed in the table below: 

The total number of marks available for this test paper is 50 and each question is worth between 1 and 3 marks. There are a range of question styles, including procedural questions, reasoning questions and multi-step applied questions. The mix of questions is aimed at creating familiarity with the style of a GCSE maths exam paper. 

How to use this Year 8 maths test

Our year 8 maths test is designed to be used as an end of year test. The test is one hour long, enabling it to be sat within a lesson. 

Students should be encouraged to show all of their working just as for any practice test. Students may use a calculator during the test. 

Once students have finished, you may to mark these yourself or distribute the answers and mark scheme to students to peer or self assess. You can also give effective feedback without adding to your workload by using whole class feedback – we’ve even got a FREE downloadable template for you.

Mark scheme and grade boundaries

There is a mark scheme provided with the test, including a breakdown of marks when a question is worth more than one mark. 

The recommended grade boundaries are:

Year 8 Maths test

Questions follow. Don’t forget to download the free Year 8 maths test for the answers and mark scheme to accompany these questions.

Looking for the answers? Download the free year 8 maths test as a pdf for the answers and mark scheme to accompany these questions.

Additional KS3 & KS4 maths questions suitable for year 8

• 15 Algebra questions
• 15 Trigonometry questions
• 15 Ratio questions
• 15 Probability questions
• 15 Venn diagram questions
• 15 Simultaneous equations questions
• 15 Pythagoras theorem questions
• Long division questions

Year 8 Maths Test FAQs

What maths should a year 8 know.

By the end of year 8, students will have covered a good amount of the KS3 maths curriculum. They will have gained a broad understanding of many topics across the six main areas of maths; number, ratio and proportion, algebra, geometry, statistics and probability. 

These include:

• Number: fractions , decimals , percentages , place value, negative numbers , factors and multiples, rounding, order of operations
• Algebra: manipulating algebraic expressions, expanding and factorising , solving linear equations , using formulae, sequences, straight line graphs , inequalities
• Ratio, proportion and rates of change: ratio, direct proportion, conversion rates
• Geometry and measures: area and perimeter, surface area and volume of 3D shapes, angles, parallel lines, properties of polygons , transformations, speed/distance/time, construction and loci, bearings, Pythagoras theorem
• Probability : theoretical probability, experimental probability, sample space diagrams, Venn diagrams
• Statistics: data collection, pie charts, scatter diagrams, averages

It is worth noting that different schools cover the curriculum in different orders and there is no set list of what a student should know by the end of year 8.

Here is a full list of topics that students should cover by the end of KS3 .

How do I prepare for Year 8?

Year 8 maths builds on the maths done in year 7. You can prepare for year 8 maths by revising topics covered in years 7 and ensuring you are confident with as many of these as possible. Some good resources to help you with this are:

• GCSE maths revision guides and maths worksheets .  
• Other maths revision guides and workbooks available from the secondary resources hub .

What level is Year 8 maths?

By the end of year 8 most students will be working between GCSE grades 1 and 4. Different schools use different types of levels for key stage 3 maths so it is best to check how your school assigns levels to your work. 

Year 8 work builds on work done in year 7, with the introduction of some new topics and more challenging problem solving questions. 

More support for Year 8

If there is a particular topic or area of study that you would like more ideas or support with, check out the GCSE maths revision pages from Third Space Learning, many of which are also relevant and useful to Year 8 maths students. 

Other recommended KS3 resources

• Articles on Year 7 Maths , Year 8 Maths and Year 9 Maths
• Year 7 maths test
• Year 9 maths test
• Fun maths problems for KS2 and KS3
• 30 problem solving maths questions

Do you have students who need extra support in maths? Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to plug gaps and boost progress. Since 2013 we’ve helped over 100,000 primary and secondary students become more confident, able mathematicians. Find out more about our GCSE Maths Revision Programme or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

DO YOU HAVE STUDENTS WHO NEED MORE SUPPORT IN MATHS?

Every week Third Space Learning’s specialist online maths tutors support thousands of students across hundreds of schools with weekly online 1 to 1 maths lessons designed to plug gaps and boost progress.

Since 2013 these personalised one to one lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn how the programmes are aligned to maths mastery teaching or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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FREE KS3 Maths Tests Pack (Year 7, 8 and 9)

These tests are designed to be used within a one-hour lesson at the end of year 7, 8 and 9 to assess your students' understanding.

Each test includes a student friendly mark scheme and suggested grade boundaries.

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Year 8 - White Rose Maths

Tear 8 - maths - newton - summer 2 - averages, year 8 - maths - newton - summer 2 - percentages, year 8 - maths - newton - summer 2 - angles, year 8 - maths - archimedes - summer 2 - mean, median, mode & range, year 8 - maths - archimedes - summer 2 - reverse percentages, year 8 - maths - archimedes - summer 2 - standard form, year 8 - maths - archimedes - summer term 2 - vectors, year 8 - maths - archimedes - summer term 2 - algebra, year 8 - maths - summer term - archimedes, year 8 - archimedes - summer term - algebra, year 8 - maths - pascal - summer 2 - tables & frequency diagrams, year 8 - maths - pascal - summer 2 - percentages, year 8 - maths - pascal - summer term 2 - completing tables, year 8 - maths - pascal - summer term 2 - two way tables, year 8 - pascal - summer term , oup - home learning packs - ks3, year 8 - maths .