Problem Solving in Context

Multi-step word problems in the style of provincial exams.

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

What this covers

The questions

  1. A phone plan costs $45 per month. Priya signs a 12 month contract and also uses 250 extra minutes over the year, billed at $0.10 each. What does she pay in total for the year, in dollars?
  2. A room is 4.2 m by 3.6 m with 2.7 m high walls. One tin of paint covers 12 square metres. Ignoring doors and windows, how many whole tins are needed for the four walls?
  3. A train travels 210 km in 1 hour 45 minutes. What is its average speed?
  4. Ravi earns a flat $12 for showing up plus an hourly rate. After 6 hours he has earned $48. What is his hourly rate, in dollars per hour?
  5. A store raises a price by 10%, then later reduces the new price by 10%. Compared with the original, the final price is
  6. A solution is made by dissolving 25 g of salt in 475 g of water. What is the concentration by mass, as a percentage?
  7. Naomi's phone starts the day fully charged. It uses three eighths of its charge during the school day, and then a further one quarter of the original charge during the evening. What percentage of the charge is left at the end of the evening?
  8. A square community garden plot has an area of 156.25 m². A low fence is to be built right around the outside edge of the plot. How many metres of fencing are needed?

Answer these free