Theme park maths quest: ratio

Quick answer

You can use ratios to compare how much of one thing there is compared to another thing. In a theme park, you might use ratios to figure out how many tickets to buy, how long to wait in a queue, or how much ingredients you need to make a big batch of popcorn.

Learning outcome

By the end of this page, you will be able to compare quantities using ratios, like 2:1 or 3:2, and use them to solve problems in a fun theme park adventure.

• I can explain what a ratio means using simple examples
• I can use ratios to compare two different amounts
• I can solve simple problems using ratios in real-life situations
• I can make a simple ratio table to help me solve problems

Why this matters

Ratios help us understand how things relate to each other. When you're at a theme park, you might need to know how many tickets to buy for a family, how long you'll wait for a ride, or how much food you need to share. Ratios help you make smart choices so you don't waste time or money. Whether you're planning a trip, sharing snacks, or building something, ratios are useful tools.

How it works

Ratios compare two or more amounts. You can write them as numbers separated by colons, like 2:1 or 3:2. The first number tells you how much of the first thing there is, and the second number tells you how much of the second thing there is.

For example, if you have 2 red balls and 1 blue ball, the ratio is 2:1. This means for every 2 red balls, there is 1 blue ball.

When we use ratios in real life, we can:

1. Compare how many of one thing there is compared to another
2. Work out how much of each ingredient you need to make a bigger batch
3. Figure out how long you'll wait in a queue based on how many people are there
4. Scale up or down from one amount to another

Examples you can see

Imagine you're at a theme park with your family. You see a line for the rollercoaster. There are 6 people in the line, and 2 of them are adults. The ratio of adults to children in the line is 2:4 or simplified to 1:2.

Example 1: Tickets

Suppose your family has 2 adults and 3 children. If the ratio of adults to children is 2:3, and you need 1 ticket for each person, you will need 5 tickets in total.

Example 2: Popcorn Recipe

Let’s say you want to make popcorn for a party. The recipe says to use 1 cup of kernels for every 2 cups of oil. The ratio is 1:2. If you want to make a big batch using 6 cups of kernels, you’ll need 12 cups of oil.

Example 3: Queue Time

If 3 people take 15 minutes to go on a ride, and the ratio of people to time is 3:15, then 1 person takes 5 minutes. So, if 6 people are in line, they’ll wait 10 minutes.

Try it as a mini adventure

Adventure: The Theme Park Ratio Quest

You are on a mission to plan the perfect day at a theme park. You have to solve puzzles using ratios to get your tickets, find the best line, and make snacks for your group.

Step 1: You see 4 adults and 2 children in a queue. What is the ratio of adults to children?

Step 2: Your snack recipe says 1 part popcorn kernels to 3 parts oil. If you use 9 cups of oil, how many cups of kernels do you need?

Step 3: You have 5 tickets and 3 friends. What is the ratio of tickets to friends?

Step 4: If 2 people take 10 minutes to ride a rollercoaster, how long will 5 people take?

Step 5: You want to make a big batch of popcorn using 12 cups of kernels. How much oil do you need?

Common mistakes

• Mistake: Writing the ratio in the wrong order. For example, saying 1:2 instead of 2:1 when comparing 2 red balls and 1 blue ball.
• Why it happens: Confusing which number represents which group.
• Fix: Always think, "What is the first thing I'm comparing to the second thing?"
• Mistake: Thinking ratios are the same as fractions.
• Why it happens: Not understanding that ratios show a relationship, not a part of a whole.
• Fix: Remember, ratios compare amounts, not how much is in a whole.
• Mistake: Forgetting to simplify ratios when possible.
• Why it happens: Not knowing that 4:8 can be simplified to 1:2.
• Fix: Divide both sides by the same number to simplify.

Parent and carer guide

Help your child by:

1. Using real-life examples like sharing food or planning a trip to show ratios
2. Practicing with simple ratios like 2:1 or 3:2 using everyday items like crayons or toys
3. Encouraging them to explain their thinking when solving ratio problems
4. Not worrying if they get a few wrong at first – it’s part of learning
5. Using the mini adventure as a fun way to practice at home

What to say:

• "Can you tell me how many red and blue toys you have? What is the ratio?"
• "If you need 2 cups of flour for every 1 cup of sugar, how much flour do you need if you use 4 cups of sugar?"
• "Let’s make a chart to show how many tickets and people we have."

Practice questions

1. There are 3 red balls and 6 blue balls. What is the ratio of red to blue?
2. If 1 part flour is mixed with 2 parts water, how much water is needed if you use 4 cups of flour?
3. There are 5 adults and 10 children. What is the ratio of adults to children?
4. If 4 people take 20 minutes on a ride, how long will 2 people take?
5. You need 1 part sugar to 4 parts flour. How much flour do you need if you use 8 cups of sugar?

Answers:

1. 3:6 or simplified to 1:2
2. 8 cups of water
3. 5:10 or simplified to 1:2
4. 10 minutes
5. 32 cups of flour

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 2:1.

How do I simplify a ratio?

Divide both numbers in the ratio by the same number to make them smaller. For example, 6:12 becomes 1:2.

Can ratios be used in real life?

Yes! Ratios are used for cooking, shopping, planning trips, and even in games and sports.

How are ratios different from fractions?

Fractions show a part of a whole, while ratios compare two or more amounts to each other.

Why do we use ratios in theme parks?

Ratios help us plan how many tickets to buy, how long to wait, and how much food to make for a group.