Exercises


  1. Write each of the following as a fraction and as a decimal.
    1. \(12.5\%\)
    2. \(0.3\%\)
    3. \(130\%\)
    4. \(2000\%\)
  2. Write each fraction or decimal as a percent.
    1. \(\dfrac{19}{40}\)
    2. \(1.15\)
    3. \(10.55\)
    4. \(\dfrac{15}{4}\)
    5. \(0.004\)
    6. \(4\dfrac{1}{5}\)
  3. Create a diagram to represent the quantity \(32.5\%\).
  4. One glass of pure orange juice can provide around \(220\%\) of the recommended daily intake of Vitamin C.
    1. Write \(220\%\) as a fraction and as a decimal.
    2. If the recommended daily intake of Vitamin C is \(60\) mg then approximately how many milligrams of Vitamin C are in one cup of pure orange juice?
  5. Determine whether the given percentage is reasonable in the given context.
    1. Rainfall this year was \(120\%\) of the average.
    2. \(105\%\) of the bananas were eaten.
    3. A company's annual profit increased by \(0.5\%\) from last year.
    4. A charity reached \(200\%\) of its donations goal for this month.
  6. If the tax rate is \(13\%\), then the total cost of an item is \(113\%\) of the ticket price. 
    1. If the ticket price of an item is \($75\), estimate the total cost of the item by calculating \(110\%\) of the ticket price. Is your estimate too high or too low, and by approximately how much?
    2. Calculate the total cost of the item from part a). How accurate was your estimate? 
  7. The following table contains data about the weekly sales of two shirt companies.
    Week Company A Sales Company B Sales
    \(1\) \(15\) \(240\)
    \(2\) \(36\) \(360\)
    \(3\) \(108\) \(648\)
    1. Calculate the increase in sales for each company from Week 1 to Week 2 and from Week 2 to Week 3.
    2. Calculate the percentage increase in sales for each company from Week 1 to Week 2 and from Week 2 to Week 3.
    3. From the information gathered in parts a) and b), which company is experiencing better growth in sales?
    1. A \($15.00\) game is on sale for \($12.75\), what is the percentage decrease in the price?
    2. A pair of shoes that usually sells for \($15.00\) is discounted by \(15\%\), what is the sale price?
    3. What similarities do you notice between these two problems?
  9. Nova Scotia reported an approximate \(0.38\%\) increase in population from October 1, 2021 to January 1, 2022. If Nova Scotia's population was \(998~832\) on October 1, 2021, what was its population on January 1, 2022?
  10. List \(2\) consecutive whole numbers that are greater than \(0.1\%\) of \(1000\) and less than \(0.9\%\) of \(1000\).
  11. A sign displays information about travel times for a \(2\) kilometre dual purpose trail that is used by both bikers and pedestrians. The travel time to complete the trail for an average biker is \(8\) minutes and \(24\) minutes for an average pedestrian. You observe that these are accurate measurements of your travel times. On Monday you bike the trail and on Tuesday you decide to walk the trail.
    1. What is the percentage increase in your travel time from Monday to Tuesday?
    2. Assuming that you bike and walk at a constant speed, calculate the speeds at which you travel on Monday and Tuesday in km/min and km/h.
    3. What is the percentage decrease in your speed from Monday to Tuesday? Does this answer depend on the units used in your speeds?