Topic Review — Ratios

Review Questions

1. Write a ratio for each situation: Fluency

   1. 3 red marbles to 7 blue marbles
   2. 14 girls to 12 boys. Write the ratio of girls to boys and also boys to girls.
   3. 25 mL concentrate to 200 mL water
   4. 18 students prefer sport out of a class of 30. Write the ratio of sport-preferrers to total students.

2. Simplify each ratio: Fluency

   1. 6 : 9
   2. 15 : 20
   3. 12 : 8
   4. 25 : 15 : 10
   5. 14 : 21
   6. 100 : 60

3. Find the missing value in each equivalent ratio: Fluency

   1. 2 : 5 = ? : 15
   2. 3 : 4 = 12 : ?
   3. 5 : 8 = ? : 40
   4. 1 : 3 = 4 : ?

4. Divide each quantity in the given ratio: Understanding

   1. Share $48 in the ratio 3 : 5
   2. Divide 60 lollies in the ratio 2 : 3
   3. Share a $200 prize in the ratio 1 : 2 : 5

5. A sports drink is made with orange juice and water in the ratio 2 : 3. Problem Solving

   1. How much water is needed if 400 mL of orange juice is used?
   2. How much of each ingredient is needed to make 2.5 L of drink in total?
   3. If you only have 250 mL of orange juice, what is the total volume of drink you can make?

6. True or False: Fluency

   1. The ratio 4 : 6 simplifies to 2 : 3.
   2. The ratio 1 : 3 is equivalent to 4 : 12.
   3. The ratio 3 : 5 means that for every 3 parts of one quantity there are 5 of another.
   4. The ratio 5 : 10 simplifies to 2 : 1.

7. A map uses a scale of 1 : 50 000. Understanding

   1. A road measures 4 cm on the map. How long is the actual road in km?
   2. Two towns are 3.5 km apart in real life. How far apart are they on the map (in cm)?

8. Concrete is made from cement, sand, and gravel in the ratio 1 : 2 : 4. Understanding

   1. How many parts of concrete are there in total?
   2. What fraction of the mixture is gravel?
   3. To make 14 kg of concrete, how much of each ingredient is needed?

9. Paint colours are mixed in a ratio of 3 parts blue to 1 part white. Problem Solving

   1. How much blue paint is needed to mix with 5 L of white paint?
   2. You want to make 20 L of the mixed colour. How much of each colour do you need?
   3. You only have 12 L of blue paint. How much white paint should you add to maintain the ratio? What is the total volume of paint you can make?

10. Three siblings share some money in the ratio of their ages. They are 4, 6, and 10 years old. Problem Solving

    1. Write the ratio of their ages in simplest form.
    2. If they share $100 in this ratio, how much does each sibling receive?
    3. How much more does the oldest receive compared to the youngest?