Ratio, Proportion and Rates notes
20 notes by 12 users
This page gathers user-made notes on ratio, proportion and rates, from scale diagrams and sharing quantities to best buys and exchange rates. School students can use them to practice these topics, while teachers can find material for lessons. There are more than 10 notes, mostly at secondary-school level. Choose a topic and start reading.
Notes
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Using Ratio as Scales Using Ratio as ScalesScale diagrams are often used in building plans and maps to represent distance on the ground. Each length in the scale diagram represents a real length in the building or map.On the diagram of the...
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Ratios and Rates A) From the diagram what would be the two term ration of circles to squares?7:3B) Compare the number of squares to the total3:10 part-to-part ratio:When you are comparing one part of a group to another part. part-to-w...
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Direct proportion Direct proportiontwo quantities are in direct proportion if there is a constant factor linking them (eg, the cost of 12 items is 12 times the cost of 1 item) 8 snacks makes 18 lunches, how many lunches can 20 snacks m...
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ratio Writing ratiosRatios are similar to fractions; they can both be simplified by finding common factors. Always try to divide by the highest common factor. To make pastry you may need to mix 2 parts flour to 1 part fat. ...
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Sharing a Quantity in a given Ratio Fiona won £85,000 in the lottery and decided to share it between Samuel and Thomas in the ratio 2 : 3 Work out how much Thomas and Samuel receive:2+3 = 5 parts (add up the parts)5 parts is £85,...
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Ch. 2 Summary Key Words: Look at "Ch. 2 Key Words" Flashcards 2.1 - Two-term and Three-term Ratios Question to help understand: How can you compare an enlargement to its original image?
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Best Buys Best BuysMany products are sold in different sized boxes. For example, a supermarket may have different sized boxes of cornflakes. It's important to be able to work out which is the best value for money.ExampleThe sam...
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Maths revision for end of year test 2021 Ratio Reducing ratios- gives the ratio in a simpler form divide all the numbers by the same thing is in the simplest form when you can divide no further If the ratio has a fraction or decimal... multiply...
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Unit A topic math notes An animal gained 3 kilograms steadily over 12 years. What is the unit rate of kilograms per year? So you would do 3/12, which simplified is 1/4 In a bouquet of flowers, there are 2 daisies and 15 roses. Write the rati...
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Simplifying Ratio - created from Mind Map 12:21:33 Example Example
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Exchange Rates
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Exchange Rates
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Best Buys Best BuysMany products are sold in different sized boxes. For example, a supermarket may have different sized boxes of cornflakes. It's important to be able to work out which is the best value for money.ExampleThe sam...
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Recipes Calculating with RatioWhen solving ratio problems remember to reduce one of the ratios to one.RecipeThis is the recipe for 8 biscuits:80g of butter100g of sugar2 eggs120g of flourHow much flour is needed for 12 biscui...
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Ratios & Ratio Notation A ratio is a proportional relationship between two numbers. For example, if I were to say that the ratio of French students to German students in a class is 4 to 3, this means that for every 4 French students in the c...
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Using Ratio as Scales Using Ratio as ScalesScale diagrams are often used in building plans and maps to represent distance on the ground. Each length in the scale diagram represents a real length in the building or map.On the diagram of the...
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L1 FS Exam sample question - RATIO Helen is going to buy some floor tiles for her bathroom.she needs a total of 48 tiles.Helen designs a pattern with black tiles and white tiles.The tiles are in a ratio of 1:3.Helen works out that she needs to buy 12 b...
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Scale Drawing A fraction can be written as a decimal or a ratio. ex) 3/4 = 0.75 = 3:4 Ratio - a comparison of numbers, such as 4:5 or 4/5. Rate - a comparison of two measurements with different units, such as 90 km/h. ex) 90...
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Proportion Notes Proportion Direct proportion is when one variable increases e.g. more pizzas cost more money. y is the cost x is the number of pizzas Inverse proportion is when one variable decreases as the other increases e.g. the t...
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Recipes Calculating with RatioWhen solvin ratio problems, remember to reduce one of the ratios to one.Example1) This is a recipe for 8 biscuits:80g of Butter100g of sugar2 eggs120g of flourHow much flour is needed for 12 bisc...
More Ratio, Proportion and Rates resources
About ratio, proportion and rates notes
GoConqr OriginalRatio, proportion and rates notes
These notes offer different ways into the unit. Ratios and Rates compares parts of a group and the total, while the notes on writing ratios cover simplifying them. Direct proportion describes quantities linked by a constant factor.
For a practical example, start with Using Ratio as Scales. It connects lengths on a scale diagram with real distances. If you want to practice sharing an amount instead, the notes on sharing a quantity in a given ratio work through a split by adding the parts.
Study with the notes
Read an example, cover the working and try the steps yourself. Then check the notes to see where your method differs. Best Buys, Exchange Rates and Recipes offer other contexts for ratio work.
When you are ready to check your understanding, switch to a quiz on the unit page. A mind map can also help you organize the ideas you have read. Pick a set of notes to explore.
Frequently asked questions
Which notes should I start with?
Start with Ratios and Rates if you want to compare parts of a group and the total. For a practical example, Using Ratio as Scales connects lengths on a diagram with real distances. Choose the topic that matches what you are studying.
What topics do the notes cover?
The collection includes notes on writing and simplifying ratios, sharing a quantity, scale diagrams and direct proportion. It also includes Best Buys, Exchange Rates and Recipes, which put ratio calculations in familiar contexts. You can choose notes for the topic you want to practice.
Are these notes free to use?
Yes. Every resource listed on this page is free to open and study without an account. A free account can also save quiz scores and let you make your own quizzes, mind maps, flashcards and notes. The listed resources were made by GoConqr users.