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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.

Addvance Maths

Free online maths revision for gcse, a-level and ib maths..

problem solving year 7 maths

Year 7 Revision Guide

problem solving year 7 maths

British Curriculum (GCSE and IGCSE) revision guide for all of Year 7 Maths. This includes full animated and professional video lessons, worksheets, activities and extension challenges. Below is a full list of topics and resources to revise Year 7 Maths at ease. All Year 7 Videos can be found here. Check out our revision page for tips on how to revise maths effectively .

New! 🎉 Year 7 Fact Sheet! (download)

1. Integers & BIDMAS

2. introduction to algebra, 3. symmetry and coordinates, 4. fractions, 5. fractions to decimals, 6. number properties, 7. parts of a circle.

problem solving year 7 maths

UKMT Practice

Our UKMT guide will help you develop your mathematical thinking! UKMT questions are great problem solving practice to help you master mathematical thinking skills.

8. Rounding

9. angles in polygons and parallel lines, 10. perimeter and area of 2d shapes, 11. graphical representation of data, 12. linear equations, 13. percentages, 14. mean, median, mode and range, 15. 3d shapes.

For more extension activities, please visit our UKMT resources page . We also have a general page for more revision resources .

We hope this was useful, however we’d also appreciate your feedback .

Year 7 Retention Sheet! Use the link above to find weekly practice sheets to master Year 7 maths!

Disclaimer: This is a just a guide. Some schools may follow a different curriculum, and may teach different topics in different years. Addvance Maths is not responsible for content on external websites.

If you find an error, please let us know by emailing: [email protected]

Ready to test your knowledge?

Below is the Year 7 quiz! It’s a quick and easy way to see how much you have understood. The questions are in the same order as the revision guide above. So if you don’t understand the answer to a question, just use the revision guide above to revise that topic again! Simple! Good luck, remember to use pen and paper to calculate your answers. 😊 Click here to open in a new tab if you prefer.

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problem solving year 7 maths

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

Year 7 Solving Equations Worksheets

Maths Worksheets / Algebra Worksheets / Year 7 Solving Equations Worksheets

Solving Equations with Algebraic Perimeters

Solving Equations with Algebraic Perimeters Worksheet created for students in KS3

Solving Linear Equations (A)

Solving Linear Equations Worksheet suitable for students in KS3

Solving Linear Equations (B)

Solving Linear Equations Worksheet fit for students in year 7 and year 8

Solving One Step Equations with Algebra Tiles

Solving One Step Equations with Algebra Tiles Worksheet Suitable for Year 7 and Year 8 Students

Solving Two Step Equations with Algebra Tiles

Solving Two Step Equations with Algebra Tiles Worksheet Suitable for Year 7 and Year 8 Students

Get 20 FREE MATHS WORKSHEETS

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FREE daily maths challenges

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

FREE daily maths challenges

Free Year 7 Maths Test With Answers And Mark Scheme: Mixed Topic Questions

Beki Christian

This year 7 maths test is suitable for the majority of year 7 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 7. If you’re looking for a test for the start of year 7, we recommend you download the free year 6 maths test instead as it will provide a much fairer assessment of what students know.

What topics are likely to be covered in Year 7 maths

Year 7 maths is likely to feel a little different to primary school maths. Students will be introduced to a number of new topics, as well as new vocabulary and methods for tackling problems. They will cover topics from across all of the 6 areas of maths: number, ratio and proportion, algebra, geometry, statistics and probability. 

Although there is no set list of topics that students need to cover in Year 7, schools often choose to focus on number topics during Year 7. It is important that students develop their skills with mental and written calculations with whole numbers and decimals and working with fractions, percentages and ratios. They will need skills in these areas to be able to tackle problems across the curriculum as they progress through KS3. 

Algebra and the use of algebraic notation is also a focus during Year 7 level maths. Again, it is important that students have a good foundation in algebra as they will build on this throughout their  mathematical journey up to KS4 and beyond. 

Other topics that are likely to be covered in Year 7 include:

  • Place value
  • Negative numbers
  • Order of operations
  • Area and perimeter of 2D shapes
  • Charts and graphs
  • Probability

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

  • Place value  
  • Order of operations ( BIDMAS )
  • Types of graphs
  • Averages ( Mean, Median, Mode )

Many Year 7 students find the transition to secondary school a challenge.

Some students may need focused support to plug gaps and grow in confidence .

You can give your target students a smoother transition from KS2 to KS3 with personalised one to one tuition from specialist tutors with Third Space Learning. Our lessons cover content from Year 5-7 and are designed by former teachers and pedagogy experts and are designed to encourage students towards independent practice.

problem solving year 7 maths

Year 7 maths questions

Students in Year 7 will be challenged 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 and work through functional skills tasks. At this stage, most problems will not be too complicated, with perhaps one or two steps.

Year 7 Maths Test

Year 7 Maths Test

Download this FREE Year 7 Maths Test to check the progress of your students. Designed to be delivered at the end of the year with questions on a range of topics from across the KS3 curriculum. Includes answers and mark scheme.

About this Year 7 maths test

This Year 7 test contains 16 questions of increasing difficulty. The test begins with questions accessible to the vast majority of Year 7 students, with questions becoming progressively more challenging. The maths topics covered in the test are: 

The total number of marks available for this test paper is 50. 

How to use this Year 7 maths test

Our Year 7 maths test is designed to be taken as an end of year exam . The test is one hour long , allowing it to be sat within a lesson. 

Students should be encouraged to show all of their working when completing the test, as in most maths practice papers. Students may use a calculator during the test. 

Mark scheme and grade boundaries

Don’t forget to download our test, which is accompanied with a mark scheme. The recommended grade boundaries are:

Year 7 maths test

Questions for our Year 7 maths test follow below. Download our FREE Year 7 maths test for an easy-to-print format, mark scheme and answers.

Thinking about marking already? You could consider using the mark scheme in our download and have students peer assess. You could also consider using whole class feedback to reduce your workload – we’ve included a free template in our blog!

Year 7 maths test table of items sold in a shop

Other recommended KS3 resources

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

By the end of Year 7, students will have made a good start to the KS3 maths curriculum. They will have gained a basic understanding of many topics across the six main areas of maths; number, ratio and proportion, algebra, geometry, statistics and probability.  These may include: • Number: fractions, decimals, percentages, place value, negative numbers, factors and multiples, rounding, order of operations • Algebra: manipulating algebraic expressions, solving simple linear equations, using formulae, sequences, straight line graphs • Ratio, proportion and rates of change: ratio, direct proportion, conversion rates • Geometry and measures: area and perimeter, angles, properties of polygons, transformations, construction and loci • Probability: basic 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 7. You can find a full list of topics that students should cover by the end of KS3 here .

Year 7 maths lessons build on the maths done in primary school as well as introducing a number of new topics and new vocabulary.  You can prepare for Year 7 maths by ensuring you are confident with your number work, including knowing your times tables, being able to use mental and written methods for calculations  and having an understanding of fractions. Some good resources to help you with this are: • Revision guides and maths worksheets available on our website:  • Subscription sites that your school may use, for example Sumdog or ttrockstars • CGP workbooks or other maths revision guides/workbooks

By the end of Year 7, most students will be working between GCSE grades 1 and 3. 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.

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FREE Guide to Maths Mastery

All you need to know to successfully implement a mastery approach to mathematics in your primary school, at whatever stage of your journey.

Ideal for running staff meetings on mastery or sense checking your own approach to mastery.

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There are many types of problems in mathematics. The answer or solution to a problem can often be obtained in several ways.

Solving problems in mathematics can be frustrating... but also very satisfying.

Most problems can be solved by following a plan or strategy.

The following plan, which has four key steps, works well:

This plan can be summarised:

READ ---> PLAN ---> SOLVE ---> ANSWER

Other Hints on Problem Solving

Every problem is different but there are several approaches you can take which may result in progress being made:

  • Estimate the answer
  • Use trial and error (guess and check) until you get the correct answer.
  • Look for patterns
  • Use algebra and form equations
  • Make a table or list
  • Draw a diagram, graph or make a model
  • Break the problem up into parts.

Types of Problems

Example 1 A rectangle is twice as long as it is wide. Its perimeter is 24 cm, What is its area?

A width of 4 cm with a length of 8 cm gives the required perimeter. Thus, the area is 4 × 8 = 32 cm 2

Therefore the width = 4 cm and the height = 8 cm The area = 8 × 4 = 32 cm 2

What are the next 3 numbers in the sequence 2, 5, 10, 17,...?

You would expect the gap between 17 and the next number to be 9, so the next number is 26. Following this pattern the next numbers are 37 and 50.

Method 2 Use a table:

Try to see a connection between the position of the number and the number itself.

The connection is that if you  SQUARE  the first number and  ADD   ONE  you get the sequence number.

Method 3 Draw a graph:

The next three numbers (in  blue ) can be found from the graph . These sequence graphs are often straight lines.

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problem solving year 7 maths

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Developing a Classroom Culture That Supports a Problem-solving Approach to Mathematics   Age 5 to 11

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Developing Excellence in Problem Solving with Young Learners   Age 5 to 11

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Using NRICH Tasks to Develop Key Problem-solving Skills   Age 5 to 11

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Trial and Improvement at KS1   Age 5 to 7

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Working Systematically - Primary Teachers   Age 5 to 11

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Reasoning   Age 5 to 11

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problem solving year 7 maths

Grade 7 Maths Problems With Answers

Grade 7 math word problems with answers are presented. Some of these problems are challenging and need more time to solve. The Solutions and explanatiosn are included.

  • In a bag full of small balls, 1/4 of these balls are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
  • In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
  • If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?
  • The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.

Pin it!

  • A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
  • A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
  • Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings?
  • Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
  • 15 cm is the height of water in a cylindrical container of radius r. What is the height of this quantity of water if it is poured into a cylindrical container of radius 2r?
  • John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
  • How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).
  • The rectangular playground in Tim's school is three times as long as it is wide. The area of the playground is 75 square meters. What is the primeter of the playground?
  • John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
  • N is one of the numbers below. N is such that when multiplied by 0.75 gives 1. Which number is equal to N? A) 1 1/2 B) 1 1/3 C) 5/3 D) 3/2
  • In 2008, the world population is about 6,760,000,000. Write the 2008 world population in scientific notation.
  • Calculate the circumference of a circular field whose radius is 5 centimeters.

Answers to the Above Problems

  • 6 balls are blue
  • 10 students are 10 years old
  • x = 5/6 meter
  • 20,000 square meters
  • 368 square units
  • 1250 meters per minute
  • 78.74 inches
  • 40 square meters
  • 10π centimeters

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Maths Problem Solving Booklets

Maths Problem Solving Booklets

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Paul Tyler

Last updated

23 August 2022

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pdf, 424.8 KB

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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Great resource to use at KS3

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Good resources. Thanks you!

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Year 7 Problem Solving

Year 7 Problem Solving - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Year 7, Handouts emotional regulation social skills problem solving, Word problem practice workbook, Problem solving booklet, Work decision making problem solving, Year 2 use arrays reasoning and problem solving, Maths practical problem solving work, Reasoning problem solving.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

2. Handouts Emotional Regulation, Social Skills & Problem Solving

3. word problem practice workbook, 4. problem solving booklet, 5. worksheet: decision-making / problem-solving, 6. year 2 use arrays reasoning and problem solving, 7. maths practical problem solving worksheets, 8. reasoning & problem solving.

Resourceaholic

Ideas and resources for teaching secondary school mathematics

  • Blog Archive

30 August 2018

Year 7 maths activities.

problem solving year 7 maths

7 comments:

problem solving year 7 maths

I can't tell you how many times you've posted a set of resources which are exactly what I need for the following week :D Also a great reminder of the awesome Colin Foster's activities. Thanks for all the hard work you put in - it's very much appreciated!

problem solving year 7 maths

Thank you! I'm so pleased it's helpful.

Thank you :-)

These are great! The link to the number mazes task appears to be broken however. Any idea where I could find an alternative copy of these?

Hi. Frustratingly, it looks like all of Erich Friedman's puzzles have now been removed from the Stetson website, so I will remove this activity from the blog post. But if you still want to use them, I did download some (but not all) last year: https://drive.google.com/file/d/1mV1s6550uQacr1IMqRMLeM5_F2Btw9xm/view?usp=sharing

If you would like something a bit different for Year 7 to consolidate multiplication why not check out my workshop on the slide rule presented at #mathsconf26 (at 13:56mins to 23:31mins). https://completemaths.com/mathsconf/26. They'll learn something about the slide rule and practise multiplication at the same time. Does require them to be able to fold paper in half accurately! I know you love the slide rule. Thank you for another great Gems post. Jenny

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problem solving year 7 maths

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    A superb range of maths worksheets for secondary school children in year 7 (aged 11-12). Cazoom Maths is a trusted provider of maths worksheets for secondary school children, and this set of maths worksheets is ideal for students in the first year of high school. Our mathematics resources are perfect for use in the classroom or for additional ...

  3. IXL

    Practise maths online with unlimited questions in more than 200 year 7 maths skills. Free webinar: Differentiated learning in the Australian classroom. Free webinar: Differentiated learning. Free webinar! ... Use Venn diagrams to solve problems 5. Find the number of each type of coin 6. Elapsed time word problems O. Units of measurement. 1.

  4. 7th Grade Math

    7th grade. Test your knowledge of the skills in this course. Start Course challenge. Check out our expanded Common Core standards coverage for operations with negative numbers. Your mastery percentages may have changed, but you have kept your progress in the exercises where you've already worked.

  5. Year 7 Revision Guide

    Year 7 Revision Guide. British Curriculum (GCSE and IGCSE) revision guide for all of Year 7 Maths. This includes full animated and professional video lessons, worksheets, activities and extension challenges. Below is a full list of topics and resources to revise Year 7 Maths at ease. All Year 7 Videos can be found here.

  6. Year 7

    Videos, worksheets, 5-a-day and much more. GCSE Revision Cards. 5-a-day Workbooks

  7. 267 Top "Year 7 Maths Problem Solving" Teaching Resources ...

    Year 7 Baseline Maths Test Bronze 40 reviews. Number Problem Solving Worksheets - KS4 Maths 10 reviews. Open-Ended Maths Investigation Challenge Cards 27 reviews. Tic-Tac-Toe Differentiated Problem Solving Worksheets 12 reviews. Word Problems: Fractions, Decimals and Percentages - KS3 Maths 13 reviews.

  8. Year 7 Algebra Worksheets, Printable Math Worksheets

    Our year 7 algebra worksheets are designed to help students master all types of algebra problems. From solving equations, to BODMAS to substitution our year 7 algebra worksheets are fun and easy to follow. ... Start your free trial and access over 350 Year 7 Maths worksheets today! free trial. 7 days free trial. Learn with confidence. start ...

  9. Year 7 Solving Equations Worksheets

    Fun and challenging Year 7 Solving Equations Worksheets from Cazoom Maths. Printable PDF Solving Equations Worksheets for students in Year 7.

  10. IXL

    Year 7 maths. Here is a list of all of the maths skills students learn in year 7! These skills are organised into categories, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve ...

  11. Year 7 Maths Test With Answers And Mark Scheme

    A Year 7 maths test designed to be sat during a one-hour lesson. Answers and mark scheme included. All key Year 7 maths topics covered. ... 30 problem solving maths questions; What maths should a Year 7 know? By the end of Year 7, students will have made a good start to the KS3 maths curriculum. They will have gained a basic understanding of ...

  12. BestMaths Online :: Problem Solving

    Step 1. Read the problem. Key points: Shape is a rectangle, length = 2 x width, perimeter is 24 cm. To find: Area of rectangle. Step 2. Plan what to do. We need to remember that the perimeter is the distance around the shape and the area is the length multiplied by the width. A diagram will help.

  13. Problem Solving

    Problem Solving. This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. Read Lynne's article which discusses the place of problem solving in the new curriculum and sets the scene.

  14. Grade 7 Maths Problems With Answers

    Grade 7 Maths Problems With Answers. Grade 7 math word problems with answers are presented. Some of these problems are challenging and need more time to solve. The Solutions and explanatiosn are included.. Problems . In a bag full of small balls, 1/4 of these balls are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white.

  15. Grade 7

    Use Venn Diagrams to Solve Problems. Time. 7.158. /. Elapsed Time. Students learn about ratios, mixed properties, statistics and other seventh grade skills. Teachers incorporate the use of the scratchpad to give students a visual representation. Videos provide instant help for students who are struggling with their assignments. 7th Grade Math ...

  16. IXL

    Fun maths practice! Improve your skills with free problems in 'Solve equations: word problems' and thousands of other practice lessons. Free webinar: Differentiated learning in the Australian classroom.

  17. KS3 Maths

    Your #1 tool for mastering KS3 Maths. Say goodbye to boring revision, we've rounded up model examplar answers, worksheets, videos and all kinds of resources to acheiving Grade 5 in Year 8 and moving onto GCSE maths in Year 9.

  18. PDF YEAR 7 MATHS

    Solving Linear Equations Things to remember: "Solve" means to find the value of the variable (what number the letter represents). The inverse of + is - and the inverse of x is ÷ Work one step at a time, keeping you = signs in line on each new row of working. Questions: 1. A two step function machine is shown.

  19. Maths Problem Solving Booklets

    Age range: 11-14. Resource type: Worksheet/Activity. File previews. pdf, 424.8 KB. pdf, 353.5 KB. 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.

  20. Year 7 Problem Solving Worksheets

    Year 7 Problem Solving - Displaying top 8 worksheets found for this concept. Some of the worksheets for this concept are Year 7, Handouts emotional regulation social skills problem solving, Word problem practice workbook, Problem solving booklet, Work decision making problem solving, Year 2 use arrays reasoning and problem solving, Maths ...

  21. Resourceaholic: Year 7 Maths Activities

    1. In-Betweens from Colin Foster. This is an enjoyable and highly accessible activity with a good stretch task. It will start to give you a good idea of how much your new Year 7s know about place value. 2. Rainbow Squares from Math Pickle.

  22. Problem Solving

    Use these maths investigations and challenge cards to help children develop problem-solving skills. Perfect for NZ Intermediate students in years 7-8. ... The Mystery of the Final Grand Prix Racetrack Maths Mystery Game [Year 7-8] 4.8 (6 Reviews) The Mystery of the Last Tree to Lose All Its Leaves Winter Maths Mystery Game. 5.0 (2 Reviews)

  23. Our tech has a climate problem: How we solve it : TED Radio Hour : NPR

    AI, EVs and satellites can help fight the climate crisis. But they, too, have an environmental cost. This hour, TED speakers examine how we can use each innovation without making the problem worse.

  24. I.C.C. Prosecutor Requests Warrants for Israeli and Hamas Leaders

    The move sets up a possible showdown between the international court and Israel with its biggest ally, the United States.

  25. IXL

    Multi-step word problems. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)!