Town hall concert

Town hall concert

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Question 1Change answer

This task is about calculating ratios. 
 
 
A concert was held at the town hall for the local school children.
For every 20 children, 1 adult was admitted free. 360 children attended the concert.
 
a)  How many adults were admitted free? 
 
b)  If 590 children had attended the concert,
 
     how many adults would have been admitted free? 
 
c)  How many children would have attended the concert if 25 adults had been admitted free? 
Task administration: 
This task can be completed with pencil and paper or online.
Level:
3
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
ratios, division, multiplication
Description of task: 
Students calculate how many adults got into a concert for free using information about the number of concert-goers and the ratio of free adults to children.
Curriculum Links: 
This resource can help to identify students' understanding of using multiplicative strategies flexibly to solve maths problems.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

 

Y6 (06/1997)

Y7 (06/1997)
a) 18 moderate moderate
b) 29 difficult difficult
c) 500 [Accept 500-519.] moderate moderate

 

Diagnostic and formative information: 
   Common errors Likely reason
a)
b)		 7 200
11 800		 Multiplying by 20 instead of dividing.
b) 29.5 Remainder included – cannot admit .5 of a person.