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Ratio Problem Solving Worksheet

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Ratio Problem Solving Worksheet

Ratio problem solving illustration

📊 Part 1: Basic Ratio Problems

1. Write the ratio of red to blue beads if there are 7 red beads and 14 blue beads.

Answer: _____________

2. Simplify the ratio 12:20 to its lowest terms.

Answer: _____________

3. Share $60 between two people in the ratio 2:3. How much does each person get?

Person 1: $_______     Person 2: $_______

4. If the ratio of cats to dogs is 4:5, how many dogs are there if there are 16 cats?

Number of dogs: _____________

5. A recipe calls for flour and sugar in the ratio 3:2. How much sugar is needed if you use 9 cups of flour?

Amount of sugar: _______ cups

🌟 Part 2: Real-World Applications

6. A map scale shows 1 cm represents 5 kilometres. What distance does 12 cm represent?

Distance: _______ kilometres

7. Share 45 litres of juice between three containers in the ratio 3:4:2.

Container 1: _____ litres    Container 2: _____ litres    Container 3: _____ litres

8. The ratio of boys to girls in a class is 3:5. If there are 24 girls, how many boys are there?

Number of boys: _____________

9. Mix juice concentrate and water in a ratio of 1:4 to make 500 mL of juice. How much concentrate is used?

Amount of concentrate: _______ mL

🎯 Part 3: Challenge Problems

10. The ratio of teachers to students in a school is 1:20. How many teachers are there if the school has 600 students?

Number of teachers: _____________

11. Convert the ratio 5:8 into a fraction representing the part of the total that is "5".

Fraction: _____________

12. If the length and width of a rectangle are in the ratio 4:3 and the perimeter is 28 cm, find the length and width.

Length: _______ cm     Width: _______ cm

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