The purpose of this thread is to share resources to help pupils prepare for the upcoming PSLE in 2014.
I have compiled the past years exam questions into worksheets for my students. I am also thinking of coming up with a PSLE guidebook in future.
Hope you will find it useful and please give me feedback.
I will start off by sharing 2012 top school exam papers. You may need to have a hightail account to access it.
2012 P6 Math Exam Papers
https://www.hightail.com/download/elNKc ... bUxyZHNUQw
Preparing for 2014 PSLE Math
Academic support for Primary 6 and PSLE
Preparing for 2014 PSLE Math
by angatheart » Tue Dec 17, 2013 8:07 am
Last edited by angatheart on Tue Dec 17, 2013 8:15 am, edited 1 time in total.

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Tue Dec 17, 2013 8:14 am
This thread contains the link for 2013 Prelim Math Papers.
https://www.hightail.com/download/elNKc ... YTlESjlVag
https://www.hightail.com/download/elNKc ... YTlESjlVag

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Tue Dec 17, 2013 8:28 am
This is the PSLE syllabus I have compiled based on the questions that appeared on paper 2 of schools' exam papers.
Unit 1 Whole Numbers
Unit 2 Patterns
Unit 3 Algebra
Unit 4 Data Analysis
Unit 5 Fractions
Unit 6 Percentage
Unit 7 Ratio
Unit 8 Speed
Unit 9 Average and Rates
Unit 10 Gap Concept
Unit 11 Working Backwards
Unit 12 Simultaneous Concept
Unit 13 Geometry
Unit 14 Circles
Unit 15 Area
Unit 16 Volume
For a more detailed list, please go to
PSLE topics
https://www.hightail.com/download/elNKc ... M2tUWThUQw
Unit 1 Whole Numbers
Unit 2 Patterns
Unit 3 Algebra
Unit 4 Data Analysis
Unit 5 Fractions
Unit 6 Percentage
Unit 7 Ratio
Unit 8 Speed
Unit 9 Average and Rates
Unit 10 Gap Concept
Unit 11 Working Backwards
Unit 12 Simultaneous Concept
Unit 13 Geometry
Unit 14 Circles
Unit 15 Area
Unit 16 Volume
For a more detailed list, please go to
PSLE topics
https://www.hightail.com/download/elNKc ... M2tUWThUQw

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Tue Dec 17, 2013 9:29 am
Unit 1 Whole Numbers
Whole Numbers is not taught in P6 but will still be assessed as it is essentially a P5 topic and part of PSLE syllabus.
We can treat it as a revision topic. I am sharing with you here the worksheet, the answer key and a set of investigative tasks.
The purpose of investigative tasks is to help children build or reinforce concepts. They are also sometimes used to teach heuristics.
Your feedback and discussion are most welcome. Do let me know if you spot any errors.
Disclaimer
Please use the materials for personal use. Do share with other parents as well. Please do not reproduce them for other unauthorized uses.
Worksheet
https://www.hightail.com/download/elNKc ... NVc1eDhUQw
Answer Key
https://www.hightail.com/download/elNKc ... eFU5WThUQw
Investigative activities
https://www.hightail.com/download/elNKc ... cEt4djhUQw
Whole Numbers is not taught in P6 but will still be assessed as it is essentially a P5 topic and part of PSLE syllabus.
We can treat it as a revision topic. I am sharing with you here the worksheet, the answer key and a set of investigative tasks.
The purpose of investigative tasks is to help children build or reinforce concepts. They are also sometimes used to teach heuristics.
Your feedback and discussion are most welcome. Do let me know if you spot any errors.
Disclaimer
Please use the materials for personal use. Do share with other parents as well. Please do not reproduce them for other unauthorized uses.
Worksheet
https://www.hightail.com/download/elNKc ... NVc1eDhUQw
Answer Key
https://www.hightail.com/download/elNKc ... eFU5WThUQw
Investigative activities
https://www.hightail.com/download/elNKc ... cEt4djhUQw

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Tue Dec 17, 2013 10:18 am
Unit 2 Patterns
Patterns is another topic taught in P5 but popularly tested in P6 exam papers.
Worksheet
https://www.hightail.com/download/elNKc ... SHpLd01UQw
Answer Key
https://www.hightail.com/download/elNKc ... eUxWUThUQw
Investigative Task
https://www.hightail.com/download/elNKc ... QTNMbjhUQw
Patterns is another topic taught in P5 but popularly tested in P6 exam papers.
Worksheet
https://www.hightail.com/download/elNKc ... SHpLd01UQw
Answer Key
https://www.hightail.com/download/elNKc ... eUxWUThUQw
Investigative Task
https://www.hightail.com/download/elNKc ... QTNMbjhUQw

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Tue Dec 17, 2013 1:57 pm
Unit 3 Algebra
Algebra is the first new topic in P6. However, many pupils should already be familiar with the use of algebra in simultaneous method. Still it is good to introduce this topic with the use of some investigative tasks shared here.
Worksheet
https://www.hightail.com/download/elNKc ... Z2xDaDhUQw
Answer Key
https://www.hightail.com/download/elNKc ... VWxnRXNUQw
Investigative Tasks
https://www.hightail.com/download/elNKc ... eERyZHNUQw
Algebra is the first new topic in P6. However, many pupils should already be familiar with the use of algebra in simultaneous method. Still it is good to introduce this topic with the use of some investigative tasks shared here.
Worksheet
https://www.hightail.com/download/elNKc ... Z2xDaDhUQw
Answer Key
https://www.hightail.com/download/elNKc ... VWxnRXNUQw
Investigative Tasks
https://www.hightail.com/download/elNKc ... eERyZHNUQw

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Tue Dec 17, 2013 2:20 pm
Unit 4 Data Analysis
This is a minor topic which includes graphs and pie charts. Pie charts is a new topic in P6 while Graphs has been taught in earlier levels.
Worksheet
https://www.hightail.com/download/elNKc ... aWE1aWNUQw
Answer Key
https://www.hightail.com/download/elNKc ... SUIzZU1UQw
This is a minor topic which includes graphs and pie charts. Pie charts is a new topic in P6 while Graphs has been taught in earlier levels.
Worksheet
https://www.hightail.com/download/elNKc ... aWE1aWNUQw
Answer Key
https://www.hightail.com/download/elNKc ... SUIzZU1UQw

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Fri Dec 20, 2013 7:19 am
In unit 1, there is a type of questions called Beforeafter Difference.
Jeffrey and Mary shared a certain sum of money. At first, Mary had $180 more than Jeffrey. When she gave away 1/7 of her money to Jeffrey, she had $20 less than Jeffrey.
(a) How much had Mary at first?
(b) What was the ratio of Jeffrey’s original amount to Mary’s original amount?
This is an example of a question where one can explore the use of different heuristics.
As I am not able to draw models here, I shall demonstrate how one can use unit method and logical method here.
Unit method
_______Mary___Jeffrey
Before>7u____7u180
Change>1u____+1u
After> 6u____8u180
8u  180  6u > 20
2u > 180 + 20 = 200
1u > 100
7u > 700
(a) Mary had $700 at first.
700  180 : 700 = 520 : 700 = 26 : 35
(b) The ratio is 26 : 35.
Logical method
180 + 20 = 200
200/2 = 100
100 x 7 = 700
(a) Mary had $700 at first.
700  180 : 700 = 520 : 700 = 26 : 35
(b) The ratio is 26 : 35.
Note: The logical method is the fastest method here, but not necessarily the easiest method, unless one can understand the fact that when both you and a friend have an equal amount of money and you give your friend a certain amount of money, your friend is going to have double the amount more than you.
In other words, from $180 more to $20 less, the change is $200. Which means to say that Mary must have given $100 to Jeffrey to bring about the change.
Anyone solves this differently? Let's discuss.
Jeffrey and Mary shared a certain sum of money. At first, Mary had $180 more than Jeffrey. When she gave away 1/7 of her money to Jeffrey, she had $20 less than Jeffrey.
(a) How much had Mary at first?
(b) What was the ratio of Jeffrey’s original amount to Mary’s original amount?
This is an example of a question where one can explore the use of different heuristics.
As I am not able to draw models here, I shall demonstrate how one can use unit method and logical method here.
Unit method
_______Mary___Jeffrey
Before>7u____7u180
Change>1u____+1u
After> 6u____8u180
8u  180  6u > 20
2u > 180 + 20 = 200
1u > 100
7u > 700
(a) Mary had $700 at first.
700  180 : 700 = 520 : 700 = 26 : 35
(b) The ratio is 26 : 35.
Logical method
180 + 20 = 200
200/2 = 100
100 x 7 = 700
(a) Mary had $700 at first.
700  180 : 700 = 520 : 700 = 26 : 35
(b) The ratio is 26 : 35.
Note: The logical method is the fastest method here, but not necessarily the easiest method, unless one can understand the fact that when both you and a friend have an equal amount of money and you give your friend a certain amount of money, your friend is going to have double the amount more than you.
In other words, from $180 more to $20 less, the change is $200. Which means to say that Mary must have given $100 to Jeffrey to bring about the change.
Anyone solves this differently? Let's discuss.

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Sat Dec 21, 2013 1:17 pm
Investigative Task for Unit 2
The number puzzle ABCD x 9 = DCBA is commonly found in Math Olympiad. It tests one on logical thinking and number concepts.
Step 1
Since the answer is a multiple of 9, so A has to be 1, otherwise the answer will be a 5digit number.
A=1, D=9
Step 2
B can be more than 1, since 1200 x 9 = 10800, so B has to be 0.
A=1, B=0, D=9
Step 3
To get an answer of 9C01, C x 9 = C0, C has to be 8 since 8 x 9 = 72 and 72 + 8 = 80.
A=1, B=0, C=8, D=9
The number puzzle ABCD x 9 = DCBA is commonly found in Math Olympiad. It tests one on logical thinking and number concepts.
Step 1
Since the answer is a multiple of 9, so A has to be 1, otherwise the answer will be a 5digit number.
A=1, D=9
Step 2
B can be more than 1, since 1200 x 9 = 10800, so B has to be 0.
A=1, B=0, D=9
Step 3
To get an answer of 9C01, C x 9 = C0, C has to be 8 since 8 x 9 = 72 and 72 + 8 = 80.
A=1, B=0, C=8, D=9

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
Re: Preparing for 2014 PSLE Math
by angatheart » Mon Dec 23, 2013 7:59 am
Investigative Task for Unit 3 Algebra
One useful way to help children appreciate algebra is the use of Function Machines or the InputOutput Machines. They are easily available online.
Function Machine
https://www.hightail.com/download/elNKe ... Y1NxV2NUQw
One useful way to help children appreciate algebra is the use of Function Machines or the InputOutput Machines. They are easily available online.
Function Machine
https://www.hightail.com/download/elNKe ... Y1NxV2NUQw

angatheart  OrangeBelt
 Posts: 75
 Joined: Tue Oct 26, 2010 10:11 am
 Total Likes: 2
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