Source: https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/6-1-1-ratios [Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [11+](https://senecalearning.com/en-gb/revision-notes/11.md) › [Maths](https://senecalearning.com/en-gb/revision-notes/11/maths.md) › [11+ Maths](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths.md) › Ratios # Ratios 11+ Maths, topic 6.1.1 ## Ratios A ratio shows how much there is of one thing compared with another thing. ### How to write ratios ![How to write ratios](https://image-v2.cdn.app.senecalearning.com/2019-06/3a102114-d585-4b4c-b5f5-1e63433ffcae/Ratio-blocks-%20(1).png) ### How to find the number of parts ![How to find the number of parts](https://image-v2.cdn.app.senecalearning.com/2019-06/29c51789-056b-416c-bfad-3774f3305ab5/Ratio-blocks-%20(2).png) ### Example farm ratio problem ![Example farm ratio problem](https://image-v2.cdn.app.senecalearning.com/2019-06/dcf44a7e-1d75-42bb-8051-63b48e7fe30e/Cow-Sheep-Ratio-Concept%20(1).png) - The ratio of cows to sheep on a farm is 2:3. I have 500 animals in total. - How many cows are there and how many sheep? ### 1) Work out the number of parts ![1) Work out the number of parts](https://image-v2.cdn.app.senecalearning.com/2019-06/915d1e64-d867-40f2-829b-db8071ac2a3e/Cow-Sheep-Ratio-Concept.png) ### 2) Divide number of animals by parts ![2) Divide number of animals by parts](https://image-v2.cdn.app.senecalearning.com/2019-06/0ed41fcd-db78-403a-9fda-fe383858d553/Copy%20of%20Cow-Sheep-Ratio-Concept.png) - Divide the total number of animals by the total number of parts to find out how many animals there are in each equal part. ### 3) Multiply ratios by 100 ![3) Multiply ratios by 100](https://image-v2.cdn.app.senecalearning.com/2019-06/a2c1771c-c813-4d07-8f56-99f80fa946d4/Copy%20of%20Cow-Sheep-Ratio-Concept%20(3).png) - Multiply 100 (the number of animals in each part) by each side of the ratio to find the numbers of cows and sheep. ### Write the answers ![Write the answers](https://image-v2.cdn.app.senecalearning.com/2019-06/02248526-37cd-4a4a-be7e-e6ae7ea3ca84/Cow-Sheep-Ratio-Numbers.png) - There are 200 cows and 300 sheep. ## Test yourself on Ratios - Apple squash needs to be mixed with water in the ratio 1:2. If I make a 600 ml drink, how many ml of apple squash did I use? - Harriet and Jess share 60 stickers between them in the ratio 7:5. How many stickers does Jess receive? [Practise this topic for free](https://app.senecalearning.com/classroom/course/f4a9de91-3dcc-4e19-b180-1286357dded5/section/20d88185-7d5d-4145-b7a7-3e68e1f2716c/session) - Previous topic: [5.1.3 Experimental Probability](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/5-1-3-experimental-probability.md) - Next topic: [7.1.1 Constant Increase Sequences](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-1-1-constant-increase-sequences.md) ## 11+ Maths contents ### 1 Angles - 1.1 7 Facts About Angles - [1.1.1 Facts About Angles](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/1-1-1-facts-about-angles.md) - [1.1.2 More Facts About Angles](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/1-1-2-more-facts-about-angles.md) - 1.2 Identify the Angle - [1.2.1 Identify the Angle](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/1-2-1-identify-the-angle.md) - 1.3 Angles on a Straight Line - [1.3.1 Angles on a Straight Line](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/1-3-1-angles-on-a-straight-line.md) - [1.3.2 Angles on a Straight Line - Practice Questions](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/1-3-2-angles-on-a-straight-line-practice-questions.md) - 1.4 Angles in a Circle - [1.4.1 Angles in a Circle](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/1-4-1-angles-in-a-circle.md) - 1.5 Angles in Triangles - [1.5.1 Angles in a Triangle](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/1-5-1-angles-in-a-triangle.md) ### 2 Fractions - 2.1 Simplifying Fractions - [2.1.1 Simplifying Fractions](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/2-1-1-simplifying-fractions.md) - [2.1.2 Identifying Equivalent Fractions](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/2-1-2-identifying-equivalent-fractions.md) - 2.2 Improper Fractions & Mixed Numbers - [2.2.1 Improper Fractions & Mixed Numbers](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/2-2-1-improper-fractions-and-mixed-numbers.md) - [2.2.2 Converting Mixed Numbers to Improper Fractions](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/2-2-2-converting-mixed-numbers-to-improper-fractions.md) - [2.2.3 Converting Improper Fractions to Mixed Numbers](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/2-2-3-converting-improper-fractions-to-mixed-numbers.md) - 2.3 Fractions of Numbers - [2.3.1 Fractions of Numbers](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/2-3-1-fractions-of-numbers.md) - 2.4 Expressing Shaded Areas as Fractions - [2.4.1 Expressing Shaded Areas as Fractions](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/2-4-1-expressing-shaded-areas-as-fractions.md) ### 3 Time - 3.1 12-Hour & 24-Hour Clocks - [3.1.1 Difference Between 12-Hour & 24-Hour Clocks](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/3-1-1-difference-between-12-hour-and-24-hour-clocks.md) - [3.1.2 Changing the 12-Hour Clock to the 24-Hour Clock](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/3-1-2-changing-the-12-hour-clock-to-the-24-hour-clock.md) - [3.1.3 Changing the 24-hour Clock to the 12-Hour Clock](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/3-1-3-changing-the-24-hour-clock-to-the-12-hour-clock.md) - 3.2 Time-Related Problems - [3.2.1 Time-Related Problems](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/3-2-1-time-related-problems.md) - [3.2.2 Timetable & Schedule Problems](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/3-2-2-timetable-and-schedule-problems.md) ### 4 Prime Numbers - 4.1 Prime Numbers - [4.1.1 Prime Numbers](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/4-1-1-prime-numbers.md) ### 5 Probability - 5.1 Probability - [5.1.1 Probability Scale](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/5-1-1-probability-scale.md) - [5.1.2 Probability Fractions](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/5-1-2-probability-fractions.md) - [5.1.3 Experimental Probability](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/5-1-3-experimental-probability.md) ### 6 Ratio - 6.1 Ratios - [6.1.1 Ratios](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/6-1-1-ratios.md) ### 7 Sequences - 7.1 Constant Sequences - [7.1.1 Constant Increase Sequences](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-1-1-constant-increase-sequences.md) - [7.1.2 Constant Decrease Sequences](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-1-2-constant-decrease-sequences.md) - 7.2 Doubling & Halving Sequences - [7.2.1 Doubling Sequences](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-2-1-doubling-sequences.md) - [7.2.2 Halving Sequences](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-2-2-halving-sequences.md) - 7.3 Alternating Patterns & Two-Step Sequences - [7.3.1 Alternating Pattern Sequences](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-3-1-alternating-pattern-sequences.md) - 7.4 Two-Step Patterns - [7.4.1 Two-Step Patterns](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-4-1-two-step-patterns.md) - 7.5 The nth Term - [7.5.1 Find the nth Term](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-5-1-find-the-nth-term.md) - [7.5.2 Using the nth Term](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/7-5-2-using-the-nth-term.md) ### 8 Area & Perimeter - 8.1 Perimeter of a Quadrilateral - [8.1.1 Finding the Perimeter of a Quadrilateral](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/8-1-1-finding-the-perimeter-of-a-quadrilateral.md) - [8.1.2 Finding the Missing Length](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/8-1-2-finding-the-missing-length.md) - 8.2 Area of a Quadrilateral - [8.2.1 Finding the Area of a Quadrilateral](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/8-2-1-finding-the-area-of-a-quadrilateral.md) - [8.2.2 Finding the Missing Side of a Rectangle](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/8-2-2-finding-the-missing-side-of-a-rectangle.md) - [8.2.3 Finding the Missing Side of a Square](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/8-2-3-finding-the-missing-side-of-a-square.md) - [8.2.4 Finding the Area of Irregular Shapes](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/8-2-4-finding-the-area-of-irregular-shapes.md) - 8.3 Area of a Triangle - [8.3.1 Finding the Area of a Triangle](https://senecalearning.com/en-gb/revision-notes/11/maths/11-maths/8-3-1-finding-the-area-of-a-triangle.md)