Age and time problems

Age and time problems

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Overview
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Connecting to the Curriculum
Marking Student Responses
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Further Resources
This task is about solving maths problems about age and time.  

Question 1Change answer

Tana      Simone
a) Simone is 4 years older than Tana. Simone's age plus Tana's age equals 24.
i) How old is Tana?  years old
ii) How old is Simone?  years old 

Question 1Change answer

illustration: chocolate box
b)  There 40 chocolates in a box. After dinner these were passed around and everyone had 3 chocolates each. There were 4 chocolates left over. 
How many people were there in the room?
 people 

Question 1Change answer

Eli
c)  Eli jogs 5 times around the block, taking the same time each lap. He then rests for 15 minutes. This takes a total of exactly 1 hour. 
How long did it take him to jog around the block once?  minutes 

Question 1Change answer

Ina
d)  When Ina was born her father was 32 years old.
 If her father is now 5 times her present age, how old is she?  years old
Task administration: 
This task is completed with pencil and paper or online with auto-marking.
Level:
4
Description of task: 
Students solve a number of mathematical problems for practical situations involving total amounts, age and time.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (04/1997)

Y9 (04/1997)

a) i)
ii)
10
14
easy
easy
easy
easy
b)   12 moderate easy
c)   9 difficult moderate
d)   8 very difficult difficult
Diagnostic and formative information: 
  Student response Likely calculation Likely reason
b) 13 40 ÷ 3 Did not subtract 4 chocolates left over.
c) 12 minutes 60 ÷ 5 Did not subtract 15 minutes rest.