Score out of 10

Score out of 10

Pencil and paper
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This task is about making decimal numbers.

At a music competition the organisers found that they only had the score cards 1, 4, 7, and 9 and the decimal point.

The judge gave each competitor a score out of 10 . She used the decimal point and all four digits once only for each score. Write the score that each competitor received in the spaces below. The first one has been done for you.

The pianist got the highest possible score out of 10. 

 

 

a)
The harpist got the closest possible score to 8.   ____  .   ____  ____  ____
 
 
b)
The violinist got the second highest possible score out of 10.   ____  .   ____  ____  ____
 
 
c) The trumpet player got a score between 4.9 and 4.95.   ____  .   ____  ____  ____
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Knowledge
Keywords: 
decimals, place value, ordering numbers
Description of task: 
Students create three-place decimal numbers from the four digits given to show the scores at a music competition.
Answers/responses: 

 

Y6 (10/1999)

a)

7.941

moderate

b)

9.714

difficult

c)

4.917

very difficult

 

Diagnostic and formative information: 
 

Common error

Likely reason

b)

9.471

7.941

Does not see the combination 9.714.
Reduces the tenths digit from 7 to 4.
Reduces the ones digit from 9 to 7.

c)

4.971

Place value misunderstanding on hundredths.