Ratios, Rates & Proportions

Simplify ratios, find unit rates, and solve proportions.

12 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. Simplify the ratio 12:18.
  2. 3 pens cost $6. How much do 5 pens cost at the same rate?
  3. Solve for x: 4/5 = x/20
  4. A car travels 150 miles in 3 hours. What is its speed?
  5. A recipe uses 2 cups flour for every 3 cups sugar. How much flour is needed for 9 cups sugar?
  6. Simplify the ratio 15:25.
  7. A car uses 6 L to travel 90 km. At the same rate, how many L are needed for 150 km?
  8. Solve for x: 3/8 = x/24
  9. A recipe serves 6 people using 4 cups of rice. How many cups are needed for 9 people?
  10. Simplify the ratio 16:24.
  11. Simplify the ratio 9:21.
  12. A fruit basket has 8 apples and 12 oranges. Simplified to lowest terms, the ratio of apples to oranges is a:b. What is a + b?

Answer these free