thinkingMath supplementary titles in the Conquer Problem Sums series employ a dual approach designed to help pupils excel in word problems in a systematic and structured way.
- Conceptual learning: By using key constructs (groupings of problem sums with similar characteristics), pupils can effectively grow in their conceptual understanding about problem types.
- Procedural learning: After understanding the problem type using key constructs, pupils can progress to apply a variety of effective methods or strategies to solve the problem.
Parents and educators are thus encouraged to use Conquer Problem Sums starting from P3 and follow through to P4, P5 and P6 (mainly revision) in order to reap maximum benefit.

The brief explanation (in the following articles) of each key construct and its variation, if any, is accompanied by an illustration taken from a suitable section of one of the books, and reference is made to other related sections for further practice.
Click below to better understand how each key construct works:
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Comments (55)

hey, why don't you post any queries in the Discussion? Think there's a category called ThinkingMath: see here http://www.onsponge.com/share/...nc=listcat
2
February 27
Hi Wani, as Terence suggested to an earlier comment, please post your query in the ThinkingMath forum. You can get quicker help there.
After logging in, click on this link: http://www.onsponge.com/share/...t&catid=35
After logging in, click on this link: http://www.onsponge.com/share/...t&catid=35
4
March 24
hey guys.... im from singapore and i wanna know where are the online solutions are because i have brought back some tuition papers and the questions are the same as conquer. All i know is that my aunt is awesome in math and now she is stuck at a question.... so the creator of onSponge PLS HELP
Love,
(Faith)Lim Jia Hui
Love,
(Faith)Lim Jia Hui
8
September 06
Hi Jia Hui,
The answers to the questions can be found in the online solutions. Just click on the button on the right on the page that says online solutions. I will also sent you a link to your onsponge email.
The answers to the questions can be found in the online solutions. Just click on the button on the right on the page that says online solutions. I will also sent you a link to your onsponge email.
9
September 06
The online solutions only shows all those hard questions, in the onsponge book, the solutions right? o.O
10
September 26
Yes, you are correct. There are a number of solutions found in the online solutions. The majority of the solutions are found in the back of the +hinkingMath books.
11
September 27
Yes you are correct. There are many sayings that support your comment such as "Try try again"; "Practise makes perfect"; "We learn from our mistakes"; etc. It all boils down to the fact that if we do not try we cannot move forward. When we try we make mistakes and learn from those mistakes. The real winners are those who try and learn from their mistakes. Those who never make mistakes and/or are afraid of making mistakes will eventually fall behind.
13
December 11
I am delighted you find it useful. Remember to use the forum when you have difficulties with any of the strategies.
15
January 18
Do you mean the online solutions? If so they are right at the very top of this page on the right called Online Solutions. If you still cannot see the link (looks like a mouse icon), you can click on this link
http://www.onsponge.com/online-solutions
http://www.onsponge.com/online-solutions
17
February 21
Dah! My teacher gave me homework 6.3 Q5 and the online soloutions do not have it. I wonder where did it fly to...... LOL! Note I am P3 OK?
21
June 14
The solutions are in the back of the books - unless your teacher took them out. Either way try drawing a picture of of both containers with the different amounts of glasses and compare the total mass of each container. If you still have a problem, you can post your questions in the forum.
22
June 15
We & the kids wated our youth and precious time of our life away, looking at the silly question, that has little use in real life situation.
24
July 27
I certainly agree that kids (with family) should spend more time developing sporting, cultural and other interests that well develop our minds and body. I believe MOE is taking steps towards this and I look forward to the day we have a mixed balance. Unfortunately, it will be too late for my daughter, P5, this year.
Looking back, we question how much of what we learnt was really practical in our everyday situations. I think this all depends on what we ultimately end up doing in our professional and personal lives. For example, percentage, speed, rate are all useful "skills" to have. I would say, ratio and fractions are too. In my mind the biggest question is, "When is the right time to learn each skill?" While I think a child's mind is capable of absorbing more (like a sponge), are those same children mature enough, with appropriate experience, to really benefit from the learning.
I compare this to a graduate who has done 5 years of working experience before taking his/her MBA vs those who take their MBA straight after obtaining their bachelor degree. In my opinion, those with the 5 years of work experience gain more from the MBA, find it easier and more enjoyable. Furthermore they contribute more thus increasing the value of the experience of all involved as well.
My two cents anyway ...
Looking back, we question how much of what we learnt was really practical in our everyday situations. I think this all depends on what we ultimately end up doing in our professional and personal lives. For example, percentage, speed, rate are all useful "skills" to have. I would say, ratio and fractions are too. In my mind the biggest question is, "When is the right time to learn each skill?" While I think a child's mind is capable of absorbing more (like a sponge), are those same children mature enough, with appropriate experience, to really benefit from the learning.
I compare this to a graduate who has done 5 years of working experience before taking his/her MBA vs those who take their MBA straight after obtaining their bachelor degree. In my opinion, those with the 5 years of work experience gain more from the MBA, find it easier and more enjoyable. Furthermore they contribute more thus increasing the value of the experience of all involved as well.
My two cents anyway ...

25
July 27
so hard leh... aiya~~~
i'm scared of what's gonna happen tomorrow. i'm sitting for the psle english.
i'm scared of what's gonna happen tomorrow. i'm sitting for the psle english.

27
October 06
what is the full solution for primary 6 thinkingMath@onSponge conquer problem sums,page 90,question 5?
34
April 29
You can find the full solutions in the pdf files here
http://www.onsponge.com/learn/online-solutions.html
http://www.onsponge.com/learn/online-solutions.html
35
April 29
Can you help me to find solutin of this question: Find the sum of the following number patterns. -1+2-3+4-5+6...........-1997+1998-1999+2000
36
June 03
Did you post the question in the forum?
http://www.onsponge.com/forum/35-thinkingmathonsponge.html
http://www.onsponge.com/forum/35-thinkingmathonsponge.html
37
June 03
Hi there,
Under the learn tab on the top menu ... or you can link here
http://www.onsponge.com/learn/online-solutions.html
make sure you are logged in
Under the learn tab on the top menu ... or you can link here
http://www.onsponge.com/learn/online-solutions.html
make sure you are logged in

39
June 15
This OnSponge thinking math is good as it helps you train your skills and has more harder question that could be used in secondary.

40
June 21
Gaah, they don't have the 7.2 Q8 & 9! Why is it that it is only certain questions' answers are there? Alamak..
SO... HELP ME!!!!!
(I AM A P3)
SO... HELP ME!!!!!
(I AM A P3)
41
September 18
Hi Priscilla
All the answers for the thinkingMath books can be found in the answer key placed at the back of the book. However, for some questions, the full solution is shown only in a pdf file that can be found on our website.
To access the pdf file, please log into your onSponge member account and then click on the box ad "Click here for online solution" on the homepage.
For further assistance, please write to us at \n This e-mail address is being protected from spambots. You need JavaScript enabled to view it '> This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
Have a good day ahead!
All the answers for the thinkingMath books can be found in the answer key placed at the back of the book. However, for some questions, the full solution is shown only in a pdf file that can be found on our website.
To access the pdf file, please log into your onSponge member account and then click on the box ad "Click here for online solution" on the homepage.
For further assistance, please write to us at \n This e-mail address is being protected from spambots. You need JavaScript enabled to view it '> This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
Have a good day ahead!
42
September 19
Hi,
Is answer to P5 onsponge last Q5 of unit 10.7 Volume correct?
I thought it should follow the earlier Q4 method, since the Q4 &Q5 is similiar.
I thought it should be like -> below:
4u = 24cm
1u =6cm
Base area of B = 120cm3/6cm = 20cm2
Thanks
47
February 27
Erm...there is a question that I do not noe how to do. It is found on the p6 onsponge book pg 26... I hope that I can find help as soon as possible...Thks!
49
March 14
Did you post your question in the forum? It is best to post there so that others can learn from your question and so that you can learn from the various solutions provided by the community.
Chris
Chris
50
March 20
Hi,
i am in P5 this year & wish to score flying colours for my Maths. May I know is it sufficient to just practice questions from Onsponge Book & top school exam papers?
I have a couple of other assesement books from Andrew Er but i do not have time for them so please advise .
i am in P5 this year & wish to score flying colours for my Maths. May I know is it sufficient to just practice questions from Onsponge Book & top school exam papers?
I have a couple of other assesement books from Andrew Er but i do not have time for them so please advise .
52
March 20
@Lina
The on-line solutions can be found under the Learn Menu item at the top of every page. This will take you to this page http://www.onsponge.com/learn/...tions.html
You will need to be logged in to download the papers.
The on-line solutions can be found under the Learn Menu item at the top of every page. This will take you to this page http://www.onsponge.com/learn/...tions.html
You will need to be logged in to download the papers.
53
March 21
@Eling
That is a very difficult question to answer. It really boils down to what are you weaknesses and strengths and then choosing materials that helps you to overcome those weaknesses and re-enforce the strengths. In addition, you did not indicate what score is flying colours. For you maybe its 95 whereas a good score for another might be 75. Also you need to look at how you did on SA2 in P4 and CA1 to better understand. In general, past year exam papers are good as they given you a variety of questions and are in the correct format. When you identify weaknesses than find books (or other help) that can help you with those weaknesses.
That is a very difficult question to answer. It really boils down to what are you weaknesses and strengths and then choosing materials that helps you to overcome those weaknesses and re-enforce the strengths. In addition, you did not indicate what score is flying colours. For you maybe its 95 whereas a good score for another might be 75. Also you need to look at how you did on SA2 in P4 and CA1 to better understand. In general, past year exam papers are good as they given you a variety of questions and are in the correct format. When you identify weaknesses than find books (or other help) that can help you with those weaknesses.
54
March 21
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