Ratio and Proportion (Extended Curriculum)

Introduction

Dr Frost Maths (includes slides and worksheets)

• Ratio and Proportion

  • GCSE ratios

    • Ex1 - simplifying, splitting, when one quantity is given, when the difference is given, equations

    • Ex2 - combining and subdividing ratios 

    • Ex3 - updated ratio after changing amounts, word problems, equations

Practice

Transum

• Ratio: A self marking exercise on using ratio notation, reducing a ratio to its simplest form and dividing a given quantity into a number of parts in proportion to a given ratio.

• Ratios vs Fractions: Relate the language of ratios and the associated calculations to the arithmetic of fractions.

• Recipe Ratios: Learn the mathematics required to adapt recipes to serve a different number of people.

• Unitary Method: Ten questions which can be solved using the unitary method.

• Unit Pricing: Calculate the unit cost of items to earn jigsaw pieces that make a joke.

Corbett Maths (Answers)

• Ratio: simplifying     Video 269      Practice Questions    Textbook Exercise

• Ratio: express as fractions or %   Video 269a     Practice Questions    Textbook Exercise

• Ratio: sharing the total     Video 270      Practice Questions    Textbook Exercise

• Ratio: given one value     Video 271      Practice Questions    Textbook Exercise

• Ratio: given two ratios    Video 271a    Textbook Exercise

• Ratio: difference between     Video 271b     Textbook Exercise

• Ratio: expressing as 1:n       Video 271c    Textbook Exercise

• Ratio: equations/ratios       Video 271d

• Ratio: solving problems 1    Video 271e     Textbook Exercise

• Proportion: unitary method   Video 255a     Practice Questions    Textbook Exercise

• Proportion: Graphs    Video 255b

• Proportion: Time    Video 255c

• Proportion: recipes     Video 256     Practice Questions    Textbook Exercise

Dr Austin Maths

• Simplifying Ratios Pixel Picture (Editable Word | PDF | Answers​)

• Simplifying Ratios Odd One Out (Editable Word | PDF | Answers)

• Equivalent Ratios Match-Up (Editable Word | PDF | Answers)

• Working with Ratio Practice Strips (Editable Word | PDF | Answers)

• Dividing in a Ratio Practice Strips (Editable Word | PDF | Answers)

• Dividing in a Ratio Fill in the Blanks (Editable Word | PDF | Answers)

• Dividing in a Ratio Crack the Code (Editable Word | PDF | Answers)

• Combining Ratios Practice Strips (Editable Word | PDF | Answers)

• Sharing and Combining Ratios Practice Strips (Editable Word | PDF | Answers)

• Solving Ratio Problems Practice Strips (Editable Word | PDF | Answers)

• Solving Ratio Problems Practice Grid (Editable Word | PDF | Answers)

• Harder Ratio Problems Practice Strips (Editable Word | PDF | Answers)

• Fractions and Ratio Worded Problems Practice Strips (Editable Word | PDF | Answers)

• Unitary Method Practice Strips (Editable Word | PDF | Answers)

• Unitary Method Match-Up (Editable Word | PDF | Answers)

• Best Buys Practice Strips (Editable Word | PDF | Answers)

• Currency Conversions Practice Strips (Editable Word | PDF | Answers)

• Proportion Worded Problems Practice Strips (Editable Word | PDF | Answers)

• Mixed Ratio and Proportion Revision Practice Grid (Editable Word | PDF | Answers)

Increasingly Difficult Questions

• Simplifying ratios (answers) - @taylorda01

• Write ratio in the form n:1 (answers) - @taylorda01

• Write ratio in the form 1:n (answers) - @taylorda01

• Sharing in a given ratio - @taylorda01

• Basic Proportion (answers) - @taylorda01

•  Proportion Using Recipes (answers) - @taylorda01

Maths4everyone (includes practice/ exam questions)

• Ratio and Proportion

Maths Links exam questions

Writing and Simplifying Ratio

• Maths Genie  :  Questions  :  Answers

• Corbett Practice  :  Questions  :  Answers

• Corbett Textbook  :  Questions  :  Answers

• Maths4EveryOne  :  Questions (Ans. inc.)

• Dr Austin  :  Questions  :  Answers

Ratio

• Maths Genie  :  Questions  :  Answers

• Maths4Everyone  :  Questions  :  Answers

• Corbett Practice  :  Questions  :  Answers

• Corbett Textbook  :  Questions  :  Answers

• Maths Upgrade  :  Questions  :  Answers

• Maths4EveryOne  :  Questions (Ans. inc.)

• Metatutor  :  Questions  :  Answers

• Maths DIY  :  Questions  :  Answers

• Maths Takeaway  :  Questions  :  Answers

• Dr Austin  :  Questions  :  Answers

Ratio as a Fraction or Linear Function

• Maths Genie  :  Questions  :  Answers

• Corbett Practice  :  Questions  :  Answers

• Corbett Textbook  :  Questions  :  Answers

• Dr Frost  :  Questions  (Ans. inc.)

Combining Ratios

• Ken Stafford: Past Paper Qs : Solutions

• Ken Stafford: Booklet  :  Grid  :  Solutions  :  Ans

• Maths Genie  :  Questions  :  Answers

• Corbett Textbook  :  Questions  :  Answers

• Dr Austin  :  Questions  :  Answers

Proportion Recipes

• Ken Stafford:  Past Paper Qs  :  Solutions

• Maths Genie  :  Questions  :  Answers

• Corbett Practice  :  Questions  :  Answers

• Corbett Textbook  :  Questions  :  Answers

• Dr Frost : Questions (Ans. inc.)

• Maths Upgrade  :  Questions  :  Answers

• Metatutor  :  Questions  :  Answers

• Maths4EveryOne  :  Questions  :  Answers

• Maths Takeaway  :  Questions  :  Answers

Extension

• Algebra In Action: Real life problems adapted from an old Mathematics textbook which can be solved using algebra.

• Ratio Clues: Arrange the ratio clues in the clouds in a logical order to work out the values of the twelve letters.

• Pattern Clues: An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues.

• Ratio extension problems - Extension Mathematics

• Harder ratio questions - Median Don Steward

• What's the question? - Median Don Steward

• Angles and ratio - Sam Blatherwick

• Ratio Problems with Surds - Access Maths

Other Resources

• Ratio booklet - Starting Points Maths

• KS3 Ratio and Proportion textbook - CIMT

• Ratio minimally different questions - one part given - @FortyNineCubed

• Ratio minimally different questions - difference given - @FortyNineCubed

• Sharing in a ratio - fill in the gaps - Craig Barton

• Ratio and Shape - GoTeachMaths

• Angle Facts with Ratio - GoTeachMaths

• Pairs - Median Don Steward

• Orangier - Median Don Steward

• Boxes - Median Don Steward

• Best Buys - Median Don Steward

• CSMS Proportion Questions - Don Steward

• GCSE Ratio and Proportion Questions - Don Steward

• Calculations with Ratio Check In - OCR

• Simplifying ratio bingo/match cards, student sheet, notes, slides - Nuffield Foundation

• Proportional Reasoning Resources - NCETM

• Currency conversion - mathshelper.co.uk

• Direct Proportion - mathshelper.co.uk

• Inverse Proportion - mathshelper.co.uk

• What was the question? - Andy Lutwyche on TES

• Pixel Picture: Equivalent Ratios - richardtock on TES

• Sharing with ratios - bar modelling lesson - cparkinson3 on TES

• Ratio bar model - ColeyAL via TES

• Dividing in a ratio puzzle - Mr Thompson on TES

• Angles and ratio 1 - steele1989 on TES

• Angles and ratio 2 - steele1989 on TES

• Direct Proportion Graphs - MathsByFintan on TES

• Ratio exam questions - AQA collated by J Morgan on TES

• Higher GCSE Ratio Approaches - J Morgan on TES

• IS MYP maths skills-based practice directory