Pupils plan a trip for a large party using two kinds of taxi cab. They try to decide how many of each cab they need to minimise the overall transport costs.
- National Curriculum levels 5 to 6
- 20 to 40 minutes
- Pencil, calculator and paper
Key Processes involved
- Select a suitable representation (e.g. symbols or a table) to record their analysis
- Explore the effect of varying the values in the problem, bearing in mind the constraints; calculate costs systematically
- Interpreting and evaluating
- Consider the assumptions and the context and look for an optimum solution
- Communicating and reflecting
- Communicate their conclusion and reasoning clearly and effectively
Check that pupils understand the context, with an introduction such as:
- Max and Liz need to get a party of 75 people to the airport.
- Taxis charge either by using a meter or for a fixed price for a journey. The taxis that they will use charge fixed prices for the journey.
- What size taxis are available and how many people can each type hold?
- The aim is to transport 75 people to the airport as cheaply as possible
Pupils can tackle this task in different ways, but they might be expected to:
- solve simple problems involving ratios and direct proportion