Ratios and Proportions Exploration

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Date:

📊 Part 1: Understanding Ratios

1. A recipe calls for 6 cups of flour and 4 cups of sugar. What is the ratio of flour to sugar?

6:4

4:6

5:1

6:6

2. In a classroom, there are 12 boys and 8 girls. Express this ratio in THREE different ways:

Boys to girls = _______ : _______

Boys to girls = _______ to _______

Boys to girls = _______/_______

3. Which of these scenarios show ratios? (Tick all that apply)

4 red cars for every 6 blue cars in a car park

Sarah is 14 years old

2 tablespoons of oil to 5 tablespoons of vinegar in salad dressing

The temperature is 25°C

4. Look at this pattern: ⭐⭐⭐🔵🔵🔵🔵⭐⭐⭐🔵🔵🔵🔵

The ratio of stars to circles is _______ : _______

🎯 Part 2: Real-World Ratios

5. A paint mixture uses 3 parts red paint to 7 parts white paint to make pink. If you use 9 litres of red paint, how many litres of white paint do you need?

Answer: _______ litres of white paint

6. In a sports team, the ratio of Year 7 students to Year 8 students is 5:3. If there are 15 Year 7 students, how many Year 8 students are there?

Answer: _______ Year 8 students

7. A fruit bowl contains apples and oranges in the ratio 4:5. If there are 36 pieces of fruit altogether, how many are apples and how many are oranges?

Apples: _______ pieces

Oranges: _______ pieces

🧠 Part 3: Problem Solving

8. Create your own ratio problem using a real-life situation (like cooking, sports, or school). Write the problem and solve it.

9. Explain in your own words: What is the difference between a ratio and a regular number? Give an example.

10. Extension Challenge: A school has teachers and students in the ratio 1:25. If there are 750 students, how many teachers are there? If 3 new teachers join, what is the new ratio?

Original number of teachers: _______

New ratio after 3 teachers join: _______ : _______