## Preparing for 2014 PSLE Math

Academic support for Primary 6 and PSLE

### Preparing for 2014 PSLE Math

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
Last edited by angatheart on Tue Dec 17, 2013 8:15 am, edited 1 time in total.

angatheart
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### Re: Preparing for 2014 PSLE Math

angatheart
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### Re: Preparing for 2014 PSLE Math

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

angatheart
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### Re: Preparing for 2014 PSLE Math

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

Investigative activities

angatheart
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### Re: Preparing for 2014 PSLE Math

Unit 2 Patterns

Patterns is another topic taught in P5 but popularly tested in P6 exam papers.

Worksheet

angatheart
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### Re: Preparing for 2014 PSLE Math

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

angatheart
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### Re: Preparing for 2014 PSLE Math

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

angatheart
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### Re: Preparing for 2014 PSLE Math

In unit 1, there is a type of questions called Before-after 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____7u-180
Change->-1u____+1u
After---> 6u____8u-180

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
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### Re: Preparing for 2014 PSLE Math

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 5-digit 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
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### Re: Preparing for 2014 PSLE Math

Investigative Task for Unit 3 Algebra

One useful way to help children appreciate algebra is the use of Function Machines or the Input-Output Machines. They are easily available online.

Function Machine