Maths Adventures
Farm maths quest: ratio
A story-led junior maths adventure using crops, fences and animal groups to mix recipes, scale drawings and compare quantities.
Quick answer
Ratios help us compare how much of one thing there is compared to another thing, like how many cows there are compared to chickens on a farm.Learning outcome
By the end of this page, you will be able to compare quantities using ratios and understand how ratios help us describe groups and mixtures in everyday life. Success signs:- You can write a ratio like 3:2 to show 3 cows and 2 chickens
- You can use ratios to solve simple problems about groups
- You can spot ratios in your daily life
- You can share items fairly using ratios
Why this matters
Ratios help us understand how things relate to each other. When you're helping with farm chores, sharing snacks, or even cooking, you're using ratios without even knowing it! Knowing how to use ratios helps you solve problems and make fair shares. In real life, farmers use ratios to mix fertiliser, plan crops, and manage animal food. As you grow up, ratios help you with things like scaling up recipes, understanding maps, and even planning your own farm!How it works
Ratios are a way to show how two or more amounts relate to each other. We write them with a colon (:) between the numbers. For example, if you have 3 cows and 2 chickens, you can write this as a ratio of 3:2. The first number (3) is the number of cows, and the second number (2) is the number of chickens. You can also write ratios in words like "3 to 2". You can use ratios to:- Compare different groups
- Share things fairly
- Scale up or down
- Describe mixtures
Examples you can see
Let's imagine you're visiting a farm with your family. Here are some examples of ratios you might see: Example 1: Animal groups On the farm, there are 6 pigs and 4 chickens. The ratio of pigs to chickens is 6:4. We can simplify this ratio by dividing both numbers by 2. 6 ÷ 2 = 3 4 ÷ 2 = 2 So the simplified ratio is 3:2. This means for every 3 pigs, there are 2 chickens. Example 2: Mixing ingredients The farmer needs to mix 10 litres of water with 2 litres of fertiliser to make a solution. The ratio of water to fertiliser is 10:2. We can simplify this ratio by dividing both numbers by 2. 10 ÷ 2 = 5 2 ÷ 2 = 1 So the simplified ratio is 5:1. This means for every 5 parts of water, there is 1 part of fertiliser. Example 3: Planting crops The farmer plants 15 tomato plants and 10 cucumber plants. The ratio of tomato plants to cucumber plants is 15:10. We can simplify this ratio by dividing both numbers by 5. 15 ÷ 5 = 3 10 ÷ 5 = 2 So the simplified ratio is 3:2. This means for every 3 tomato plants, there are 2 cucumber plants.Try it as a mini adventure
Adventure: The Farm Recipe Challenge You're helping on a farm and need to make a special animal feed mix for the chickens and cows. The recipe says to mix 4 parts corn with 2 parts soybeans. Step 1: You have 12 cups of corn. How many cups of soybeans do you need? Answer: The ratio is 4:2, which simplifies to 2:1. If you have 12 cups of corn, you need 6 cups of soybeans. (12 ÷ 2 = 6) Step 2: You're planning a new animal pen. The ratio of cows to sheep should be 3:5. If you have 9 cows, how many sheep do you need? Answer: The ratio is 3:5. If you have 9 cows, you need 15 sheep. (9 ÷ 3 = 3, then 3 × 5 = 15) Step 3: The farm has 20 chickens and 10 ducks. What is the ratio of chickens to ducks? Answer: The ratio is 20:10. Simplified ratio is 2:1. This means for every 2 chickens, there is 1 duck. Step 4: You're planting a garden with 18 sunflowers and 12 daisies. What is the ratio of sunflowers to daisies? Answer: The ratio is 18:12. Simplified ratio is 3:2. This means for every 3 sunflowers, there are 2 daisies.Common mistakes
- Mistake: Writing the ratio backwards. Why it happens: Children might mix up which number comes first. Fix: Always think about what you're comparing first. If comparing cows to chickens, cows go first.
- Mistake: Forgetting to simplify the ratio. Why it happens: Children might not know how to reduce fractions. Fix: Find the biggest number that goes into both parts of the ratio. If both are even, divide by 2.
- Mistake: Thinking ratios are the same as fractions. Why it happens: Both use numbers and a colon, but they mean different things. Fix: Remember ratios show relationship, not part of a whole. For example, 3:2 means 3 parts of one thing and 2 parts of another.
- Mistake: Not checking if the ratio makes sense in real life. Why it happens: Children might not think about what the numbers mean. Fix: Ask yourself, "Does this ratio make sense for the situation?"
Parent and carer guide
How to help your child with ratios:- Look for ratios in everyday life. When cooking, talk about how much flour and sugar you need. When shopping, compare prices per item.
- Use physical objects. Have your child group toys or food items to make ratios. For example, 3 red blocks and 2 blue blocks.
- Play simple games. Create a "ratio matching" game where you have different groups of items and ask your child to match the ratios.
- Don't worry if your child makes mistakes. Ratios are tricky at first, but with practice, they'll get better.
- Ask questions like, "What ratio do you see here?" or "How would you change this ratio?"
- Keep it fun! Use your child's interests. If they love animals, use farm animals. If they like food, use cooking examples.
- Children might confuse ratios with fractions
- They might forget to simplify ratios
- They might not understand that ratios show relationships, not exact numbers
Practice questions
- There are 8 rabbits and 4 cats. What is the ratio of rabbits to cats? Answer: 8:4 = 2:1
- A recipe uses 6 cups of flour and 3 cups of sugar. What is the ratio of flour to sugar? Answer: 6:3 = 2:1
- There are 12 ducks and 18 geese. What is the ratio of ducks to geese? Answer: 12:18 = 2:3
- There are 15 cows and 5 horses. What is the ratio of cows to horses? Answer: 15:5 = 3:1
- There are 20 pigs and 10 sheep. What is the ratio of pigs to sheep? Answer: 20:10 = 2:1
FAQ
What is a ratio?
A ratio is a way to compare how much of one thing there is compared to another thing. We write it with a colon, like 3:2.
How do I simplify a ratio?
To simplify a ratio, find the biggest number that goes into both parts evenly. Then divide both numbers by that number.
Can ratios be more than 2 numbers?
Yes! Ratios can compare more than two things. For example, if you have 2 red blocks, 3 blue blocks, and 1 green block, the ratio is 2:3:1.
How are ratios used in real life?
Ratios help us in many ways: cooking (ingredients), sharing (fairly), maps (scale), mixing (chemicals), and planning (resources).
Do I need to know times tables to work with ratios?
Knowing times tables helps, but you can work with ratios even if you're still learning them. You can use repeated addition or skip counting to help.