Maths Adventures
Knight maths quest: ratio
A story-led junior maths adventure using quests, shields and tournament scores 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. In a knight's quest, you might need to mix potions with a 2:1 ratio of water to magic powder, or make shields with a 3:2 ratio of metal to wood.Learning outcome
By the end of this page, you will understand how to use ratios to compare amounts and solve problems in a knight's quest, like mixing potions or building shields. Success signs:- You can explain what a ratio means
- You can make a ratio using objects or drawings
- You can solve simple ratio problems
- You can find equivalent ratios
Why this matters
Ratios help you understand how things relate to each other. In a knight's quest, you might need to mix ingredients in the right amounts to make a potion. If your potion is too strong or too weak, it won't work. Ratios help you make the right mix every time. In real life, ratios are used in cooking, building, sports, and even sharing toys or snacks with friends.How it works
Ratios show how two or more amounts are related. We write ratios using a colon (:). For example, if you have 3 red knights and 2 blue knights, the ratio of red to blue knights is 3:2. To understand ratios:- First, count how much of each thing you have
- Write the numbers with a colon between them
- Make sure the order is correct (first amount : second amount)
- You can simplify ratios by dividing both sides by the same number
Examples you can see
Let's imagine you are a knight in a quest to make a special potion. You need to mix ingredients in a certain ratio. Example 1: Potion Mixing You need 4 cups of water and 2 cups of magic powder. The ratio is 4:2. You can simplify this by dividing both sides by 2. 4 ÷ 2 = 2 2 ÷ 2 = 1 So, the simplified ratio is 2:1. Example 2: Shield Building You need 6 metal pieces and 4 wood pieces for a shield. The ratio of metal to wood is 6:4. You can simplify this by dividing both sides by 2. 6 ÷ 2 = 3 4 ÷ 2 = 2 So, the simplified ratio is 3:2. Example 3: Tournament Scores In a tournament, your team scored 10 goals and your opponent scored 5 goals. The ratio of your goals to their goals is 10:5. You can simplify this by dividing both sides by 5. 10 ÷ 5 = 2 5 ÷ 5 = 1 So, the simplified ratio is 2:1.Try it as a mini adventure
The Knight's Quest: Potion Mixing You are a knight on a quest to make the perfect healing potion for your kingdom. You have found a recipe that says you need 3 cups of water and 1 cup of magic powder. Adventure Steps: 1st time: You have 6 cups of water. How much magic powder do you need? Answer: 2 cups (because 6 ÷ 3 = 2) 2nd time: You have 9 cups of water. How much magic powder do you need? Answer: 3 cups (because 9 ÷ 3 = 3) 3rd time: You have 12 cups of water. How much magic powder do you need? Answer: 4 cups (because 12 ÷ 3 = 4) 4th time: You have 15 cups of water. How much magic powder do you need? Answer: 5 cups (because 15 ÷ 3 = 5) 5th time: You have 18 cups of water. How much magic powder do you need? Answer: 6 cups (because 18 ÷ 3 = 6) Challenge: What if the recipe changed to 2 cups of water and 1 cup of magic powder? How much magic powder would you need for 10 cups of water? Answer: 5 cups (because 10 ÷ 2 = 5)Common mistakes
- Mistake: Mixing up the order of the ratio.
Why it happens: Confusing which number comes first.
Fix: Always think about what comes first in the problem. If you're comparing red to blue, red goes first. - Mistake: Forgetting to simplify ratios.
Why it happens: Not knowing that 4:2 and 2:1 mean the same thing.
Fix: Divide both sides by the same number to make it simpler. - Mistake: Thinking ratios are like fractions.
Why it happens: Not understanding that ratios show a relationship, not a part of a whole.
Fix: Remember that ratios compare amounts, not parts of one thing.
Parent and carer guide
To help your child with ratios, try these simple steps:- Use everyday examples like mixing drinks or making a snack
- Ask your child to compare things using "more than" and "less than"
- Let them make their own ratios with toys or food
- Play simple games where they match ratios (like 2 red blocks to 1 blue block)
- Encourage them to explain their thinking when solving ratio problems
Practice questions
- What is the ratio of 6 apples to 3 oranges?
Answer: 6:3 or simplified 2:1 - If there are 8 knights and 4 dragons, what is the ratio of knights to dragons?
Answer: 8:4 or simplified 2:1 - A knight needs 5 gold coins and 2 silver coins. What is the ratio?
Answer: 5:2 - If you have 10 red shields and 5 blue shields, what is the ratio?
Answer: 10:5 or simplified 2:1 - A tournament has 12 wins and 4 losses. What is the ratio?
Answer: 12:4 or simplified 3:1
FAQ
What is a ratio?
A ratio compares how much of one thing there is compared to another thing. It's written with a colon, like 3:2.
How do you simplify a ratio?
You simplify a ratio by dividing both numbers by the same number. For example, 6:4 becomes 3:2 when you divide both by 2.
Can ratios be more than 2 numbers?
Yes! Ratios can compare 3 or more things. For example, 2 red knights, 3 blue knights, and 1 green knight make a ratio of 2:3:1.
Why do we need ratios?
Ratios help us make sure we have the right amounts of things. Like when cooking, you need the right ratio of ingredients to make your dish taste good.
How can I practice ratios at home?
You can practice ratios by comparing things around your house. For example, how many spoons are there compared to forks, or how many red toys compared to blue toys.