How many is that? II

How many is that? II

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about solving problems with rates.

illustration: bottle of raspberry drink


a)

To make a raspberry drink, you need 3 cups of raspberry flavouring for every 7 litres of water.
How many cups of flavouring are needed with 28 litres of water?
 
__________
 
 


illustration: cricket bat and ball

b)

In a cricket match the best batter made 4 runs from every 6 balls bowled to them.
How many balls would be needed to make 120 runs?
 
__________
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
rates
Description of task: 
Students work out how many cups of juice can be made or how many runs can be scored from given rates.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 8-9
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y9 (09/1996)

Y10 (10/1998)
a) 12 - very easy
b) 180 moderate -
Diagnostic and formative information: 
   Student response Likely calculation Likely reason
a) 4 28 ÷ 7 Assumes 1 cup of raspberries per 7 litres rather than 3 cups.