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MathematicsGrade 8en

📊 Ratios, Rates & Proportions

Master the fundamentals of ratios, rates, and proportional reasoning used in everyday contexts—from scaling recipes to comparing unit prices and currency conversions. **What you'll learn:** - Simplify and compare ratios in multiple forms - Calculate and apply unit rates (speed, density, cost per unit) - Solve proportion problems and real-world scaling scenarios - Find percent increase and decrease - Apply ratio and proportion concepts to currency, recipes, and practical problems

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  1. Question 1

    A recipe calls for 2 cups of flour and 3 cups of sugar. Which ratio is equivalent to this?

  2. Question 2

    Simplify the ratio 12:1812:18 to its lowest terms.

  3. Question 3

    A unit rate always has 1 in the denominator.

  4. Question 4

    A car travels 240 km in 3 hours. What is the unit rate in km/h?

  5. Question 5

    Apples cost $3 for 2 kg. What is the cost per kilogram?

  6. Question 6

    If 5 notebooks cost $12, how much do 15 notebooks cost?

  7. Question 7

    A model airplane has a scale of 1:501:50. If the model is 20 cm long, how long is the actual airplane?

  8. Question 8

    A shirt originally costs $40 and is on sale for a 25% discount. What is the sale price?

  9. Question 9

    If the price of an item increases by 50% and then decreases by 50%, the final price equals the original price.

  10. Question 10

    The population of a town increases from 5000 to 5500 people. What is the percent increase?

  11. Question 11

    An item is reduced from 80to80 to 64. What is the percent decrease?

  12. Question 12

    You exchange 100 Canadian dollars (CAD) for 75 US dollars (USD). How many USD would you get for 400 CAD?

  13. Question 13

    A recipe serves 4 people and calls for 2 cups of milk. How much milk is needed to serve 10 people?

  14. Question 14

    The ratio 3:53:5 is equivalent to 9:159:15.

  15. Question 15

    A bag of candy has a mass of 200 grams and costs $5. What is the cost per gram?

  16. Question 16

    A map has a scale where 2 cm represents 5 km in real life. If two cities are 8 cm apart on the map, what is the actual distance between them?

  17. Question 17

    A store increases the price of a video game from 60to60 to 75. What is the percent increase?

  18. Question 18

    When comparing two rates, if both are expressed with the same units, they can be directly compared by looking at their numerators alone.