Fraction Worksheets

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Fractions practice worksheets

Fractions practice worksheets

This KS3 maths worksheet resource can be used to revise, practice and develop concepts regarding the four rules of fractions.

There are five fractions worksheets that the pupils can work through, each of which covers most aspects of the topic of fractions at key stage 3. The fractions problems in each printable worksheet follow the same format, making them great for individual practice, revision or homework.

The answer sheet shows the skills each fractions question assesses so students can target specific areas and monitor their own progress. This worksheet could also be used for GCSE revision.

Topics covered:

Fraction diagrams

Mixed numbers and improper fractions

Cancelling fractions

Equivalent fractions

The fraction of a quantity

Adding and subtracting fractions

Multiplying and dividing fractions

If you liked this resource, why not try this Ordering fractions and decimals worksheet or these Fractions of amounts loop cards? For more KS3 fractions worksheets and teaching resources, browse the full collection .

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Ks3. number. 11. problem solving & mixed questions with fractions.

Now let’s try solving some word problems involving fractions, and then afterwards do a mixed exercise using everything that we’ve learned about fractions:

Problem Solving (exercise 7L on pages 112-113 of your textbook)

problem solving with fractions ks3

Mixed Fractions Exercises (Exercise 7 on pages 113-114 of the textbook)

problem solving with fractions ks3

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Fractions, Decimals and Percentages Practice Questions

Click here for questions, click here for answers, gcse revision cards.

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KS3 Fractions and Percentages (Year 8 – Unit 9)

KS3 Fractions and Percentages (Year 8 – Unit 9)

Subject: Mathematics

Age range: 11-14

Resource type: Lesson (complete)

CIMT

Last updated

26 March 2013

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pdf, 64.78 KB

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With this I can give my pupils a lot of questions to answer and be assured that their learning of percentages as well as fractions is reinforced. Thanks for sharing.

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Excellent resources, Very useful! Thank you.

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KS3 / GCSE Maths: Trigonometry

BBC Teach > Secondary Resources > KS3 Maths / GCSE Maths > Real Life Maths

CLIMBER: So I'm here at base camp.

CLIMBER: It's seven am.

CLIMBER: And I am so ready for this challenge.

CLIMBER: In just a few hours, I will be at the summit.

CLIMBER: So I set off about an hour ago,

CLIMBER: and I'm curious

CLIMBER: to know what height I'm at so far.

CLIMBER: 'To calculate this, we have to look at this hill as a right-angled triangle. The hypotenuse is the longest side, and is always opposite the right-angle. And the opposite is opposite the acute angle given. We can use trigonometry

CLIMBER: 'to calculate the lengths of sides and sizes of angles in the triangle. We do this by remembering SOH CAH TOA. This is sine, cosine, tangent, and our three sides of the triangle. If we take the horizontal line to represent division, and the vertical line to represent multiplication, we can simply remove what we need to calculate, and we're left with our equation.

CLIMBER: 'So I have been hiking along this path for approximately 2.82km, at an angle of 12 degrees. This means we have the angle, the hypotenuse, and need to calculate the opposite, which means we need to use sine.

CLIMBER: 'And if we remove the opposite, we are left with our equation. So the opposite equals sine multiplied by the hypotenuse.

CLIMBER: 'So sin(12) multiplied by 2.82 is equal to 0.59, so I'm currently at 0.59km.'

CLIMBER: OK, now I'm really feeling it.

CLIMBER: I'm not exactly sure

CLIMBER: how far I've walked in total,

CLIMBER: but I can calculate it.

CLIMBER: 'I travelled a total distance of 2.82km from point A to point B.

CLIMBER: 'At point B, I turned due West by 90 degrees and continued walking to my current location. There is a bearing of 140 degrees to point A.

CLIMBER: 'This creates a right-angled triangle, and as the adjacent and opposite are involved, I need to use tangent.

CLIMBER: 'The angle within the triangle will be equal to 140 degrees minus 90 degrees, which equals 50 degrees.

CLIMBER: 'So I need to calculate the adjacent, which is equal to the opposite over tan.

CLIMBER: 'So 2.82 over tan(50) equals 2.37km, and 2.82 plus 2.37 is equal to the total distance travelled so far, which is 5.19km.'

CLIMBER: I made it!

CLIMBER: I mean, just look at this...

CLIMBER: Oh no...

Video summary

The video clip shows the scene of a hiker who applies Trigonometry to solve height and distance problems.

At the initial stage of the video it shows the 3 Trig ratios and ways of remembering and applying them.

The first part of the problem calculates the height traveled on the walk.

The second part of the problem uses bearings to form a right-angled triangle and then calculating the sides of the triangle; and hence the total distance traveled.

Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles.

This is from the series: Real Life Maths.

Teacher Notes

The video clip can be used in a variety of ways.

To investigate solutions in construction; calculating angle and lengths generated by the structure.

The video can be used as a prolog to groups of learners working on a specific skill such as finding lengths and angles using the video as guidance, and then moving onto another section where you calculate 2-D application of trigonometry and then moving onto 3-D Trigonometry followed by a feedback questionnaire detailing what went well and what would work better.

Pupils could be placed into groups of no more than 4 and sent around school with specific projects or 'problems' to solve around school.

The groups could then converge and feed back to the rest of the students about their results and their problem solving techniques.

This clip will be relevant for teaching Maths at KS3/GCSE in England Wales and Northern Ireland. Also at National 4, 5 and Higher in Scotland.

This topic appears in OCR, Edexcel, AQA, WJEC in England and Wales, CCEA GCSE in Northern Ireland and SQA in Scotland.

More from the series: Real Life Maths

Ratio and Proportion

Ratio and Proportion

A cake company demonstrates how ratios and proportions are used to complete an order.

Percentages

Percentages

Clothes shopping and video statistics are used to explain percentages.

Algebra

A mobile phone deal and a trip to the cinema are used to explain algebra.

Sequences

The purchasing of cupcakes is used to explain linear and quadratic sequences.

Pythagoras

Cleaning a window and installing a TV are used to explain the theory of Pythagoras.

Probability

Probability

Predicting the weather and choosing a chocolate are used to explain probability.

Fractions

A group of friends sharing a meal is used to explain fractions.

Geometry

A clothes designer trying to make an outfit uses geometry.

Finance

A man buying a car uses financial planning and investment to work out how much he'll pay.

COMMENTS

  1. Fractions

    Simplified fractions have no common factors other than 1. Mixed numbers, proper and improper fractions. There are different types of fractions - a fraction can be proper, improper or a mixed ...

  2. Problem solving with fractions

    U NDERLINE and U NDERSTAND key words. C HOOSE the correct operation (+ - x ÷) and method. S OLVE the problem! A NSWER the question. C HECK your working out. Let's use RUCSAC to solve a fraction ...

  3. Exploring Fractions

    Exploring Fractions. Introduction. At NRICH, our aim is to offer rich tasks which develop deep understanding of mathematical concepts. Of course, by their very nature, rich tasks will also provide opportunities for children to work like a mathematician and so help them develop their problem-solving skills alongside this conceptual understanding.

  4. Fraction Worksheets

    Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents. Fraction Worksheets ... Fractions - Subtraction. Worksheet. Example. Fractions (Same Denominator) 15 − 25. Unit Fractions. 13 − 19. Easy Proper Fractions. 38 − 27. Harder Proper Fractions. 712 − 1525.

  5. Fractions KS3 worksheets

    This KS3 maths worksheet resource can be used to revise, practice and develop concepts regarding the four rules of fractions. There are five fractions worksheets that the pupils can work through, each of which covers most aspects of the topic of fractions at key stage 3. The fractions problems in each printable worksheet follow the same format ...

  6. Mixed Fractions Problem Solving

    This will help the learner to understand any inaccuracies in their workings out. For KS3 Maths pupils, in particular, understanding this process is essential. Dive into our Mixed Fractions Problem-Solving worksheets / worksheet for a resource that will help to support and accelerate learning for KS3 Maths pupils.

  7. Fraction of Amounts Practice Questions

    Next: Fractions - Finding Original Practice Questions GCSE Revision Cards. 5-a-day Workbooks

  8. KS3. Number. 11. Problem Solving & Mixed Questions with Fractions

    Now let's try solving some word problems involving fractions, and then afterwards do a mixed exercise using everything that we've learned about fractions: Problem Solving (exercise 7L on pages 112-113 of your textbook) Answers: Mixed Fractions Exercises (Exercise 7 on pages 113-114 of the textbook) Answers: ... KS3. Number. 11. Problem Solving ...

  9. Worded fraction question

    Subject: Mathematics. Age range: 11-14. Resource type: Worksheet/Activity. File previews. doc, 70 KB. Answers are also included. See more. to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

  10. Lesson: Problem solving with fractions and ratios

    6 Questions. Q1. Fill in the missing word: Variables are in proportion if they have a multiplicative relationship. constant. Q2. Select the bar model that is correctly labelled to solve this problem: Sam and Jacob share some stickers in the ratio of 3 : 7. Sam get 168 less than Jacob.

  11. PDF KS3 Mathematics: Fractions and Algebra Problem Solving Questions

    KS3 Mathematics: Fractions and Algebra Problem Solving Questions Priority Learning Worksheet Name: Date: Question: 1 2 3 4 5 Total Marks: 2 3 3 3 4 15

  12. Fractions mastery and problem solving

    Fractions mastery and problem solving. Subject: Mathematics. Age range: 11-14. Resource type: Worksheet/Activity. File previews. docx, 282.01 KB. pptx, 1.87 MB. Multiplying, dividing, adding and subtracting fractions mastery lesson including problem solving from nrich. If there are any mistakes on the answers, let me know and I can update.

  13. Mixed Fractions Problem Solving

    This will help the learner to understand any inaccuracies in their workings out. For KS3 Maths pupils, in particular, understanding this process is essential. Twinkl Australia. Dive into our Mixed Fractions Problem-Solving worksheets / worksheet for a resource that will help to support and accelerate learning for KS3 Maths pupils.

  14. Fractions

    Making Longer, Making Shorter. Age 5 to 7. Challenge Level. Ahmed is making rods using different numbers of cubes.

  15. Word Problems: Fractions, Decimals and Percentages

    Beyond's word problems resource consists of 3 separate KS3 Maths worksheets that have been created to challenge at different levels. The bronze, silver and gold fractions, decimals and percentages maths worksheets are each complemented with an answers sheet for the teacher's use. Twinkl Supply Teachers Pick-Up and Go Resources KS3 Maths KS3 ...

  16. Fractions, Decimals and Percentages Practice Questions

    Next: Ordering Fractions, Decimals and Percentages Practice Questions GCSE Revision Cards. 5-a-day Workbooks

  17. Maths problem of the Day

    Practice is crucial to maths success, and our questions are designed to support your daily routines. These problems can be used across Y1 and Y2 throughout the year. Download. Our maths problems of the day provide four problems across KS1, KS2 and Lower KS3 for pupils to solve. View our Maths resources from White Rose Maths.

  18. KS3 Fractions and Percentages (Year 8

    The topic of Fractions and Percentages from the Year 8 book of the Mathematics Enhancement Program (MEP). For information about these reso. International; Resources; Jobs; Schools directory; ... KS3 Fractions and Percentages (Year 8 - Unit 9) Subject: Mathematics. Age range: 11-14. Resource type: Lesson (complete) CIMT. 3.67 2386 reviews ...

  19. KS3 / GCSE Maths: Fractions

    This clip is relevant for teaching Maths at KS4/GCSE level in England, Wales and Northern Ireland, and National 4/5 in Scotland. A group of friends sharing a meal is used to explain fractions, by ...

  20. Finding Fractions of Amounts

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  21. KS3 / GCSE Maths: Trigonometry

    The video clip shows the scene of a hiker who applies Trigonometry to solve height and distance problems. At the initial stage of the video it shows the 3 Trig ratios and ways of remembering and ...