At the canteen

At the canteen

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working out the cost of food items from a canteen.
canteen-menu.png
Use the menu above to help you answer the following questions.

Question 2Change answer

a)  i)   What two items could you buy that cost a total of exactly $3?
             and  
     ii)  Give another two items that cost a total of exactly $3.
             and  

Question 2Change answer

b)  i)   What three items could you buy that cost a total of exactly $2.65?
           ,    and  
     ii)  Give another three items that cost a total of exactly $2.65.
           ,    and     

Question 2Change answer

c)  Choose a lunch for yourself of five different things that cost a total of exactly $6.85.
 
Item Price
Total $6.85
 
Task administration: 
This task can be completed with pen and paper or online (with NO auto marking).
Level:
3
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
addition, subtraction, decimals, money, combinations
Description of task: 
Different selections are made from a canteen menu that will cost a given amount. An extension activity is given that asks for all possible combinations to be found.
Curriculum Links: 
This resource can help to identify students' ability to apply additive or simple multiplicative ideas flexibly to combine or partition whole numbers to solve addition and subtraction problems.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Additive thinking, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y6 (11/2003)

a)

Any 2 of:

  • Sandwich and Ice Block.
  • Meat Pie and Banana.
  • Two Pizza Slices.

2 correct – very easy

1 correct – very easy

b)

Any 2 of:

  • Biscuit, Donut, and Banana.
  • Orange, Pizza Slice, and Banana.
  • Orange and two Ice Blocks.
  • Apple, Chippies, and Ice Block.
  • Apple and two Drink Cans.

2 correct – moderate

1 correct – very easy

c)

Meat Pie, Sandwich, Banana, Ice Block, Biscuit or
Meat Pie, Donut, Pizza Slice, Drink Can, Apple or
other combinations that total $6.85. (They must include either an apple, an orange, or a biscuit.)

moderate

NOTE: For c) "Meat Pie, Sandwich, Banana, Ice Block, Biscuit" was by far the most common correct response, with approximately half of the correct responses listing this combination.

Next steps: 
Extension
Find as many different combinations as you can for a), b) and c) if you can only have one of each item.
Find as many different combinations as you can for a), b), and c) if you can have several of one item.
In each case, show how you know you have got all possible combinations.