Tag Archives: heuristic

PSLE-Problem Sums that most P6 pupils stumble over – Part 2

8 Jun

Here are various 2010 Math Prelim questions.

Do try them before checking on the worked solutions.

We will go through more of them in class.

Persis

Question 1

Water from 3 taps was used to fill an empty tank. Tap A, B and C could fill the tank completely in 3 hours, 4 hours and 5 hours respectively.

(a) What fraction of the tank was filled with water after half an hour when all taps were turned on at the same time?

Now only Tap A and B were both turned on to fill another empty tank. After 20 minutes, Tap C was also turned on. Both Tap A and B were turned off at the same time after turning on for an hour and only Tap C was left to fill the tank completely.

(b) How much longer would Tap C take to fill the tank completely with water after Tap A and B were turned off?

 

Question 2

Rainy and Minnie had 1260 beads altogether. Rainy gave 2/3 of her beads to Minnie. Minnie then gave 3/8 of her beads to Rainy. Finally, they had the same number of beads. How many more beads had Rainy than Minnie?

 

Question 3

Kaylene was asked to number the pages of a book. When she had numbered the last page, she had counted a total of 822 digits.

(a) How many 3-digit numbered pages were there?

(b) What is the last page of the book?

 

Question 4

Mei and Jane bought a camera and a watch each. Mei spent ½ of her money on the camera and ¼ of the remaining money on a watch.

(a) What fraction of her money did Mei spend?

Jane spent 3/5 of her money on a camera. Her camera cost $280 more than Mei’s camera. They paid the same amount for their watch and had the same amount of money left.

(b) How much money had they altogether at first?

 

 

Question 5

Mom bought some muffins and tarts in the ratio 4:5. Each muffin cost $2.80. Each tart was $1.90. After giving away 5/8 of the muffins and 144 tarts, the ratio of the remaining items was 3:2.

(a) Find the total muffins and tarts left.

(b) How much more did the muffins cost than tarts?

 

Question 6

Jay and Wei bought the same type of notebooks. Jay bought a few for $80. Wei enjoyed a discount of 20% and bought 4 more notebooks than Jay with the same amount of money. Find the usual price of one notebook.


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New! What is Mathematical Olympiad Training Course (MOT)?

28 May

What is Mathematical Olympiad Training Course (MOT)?

MOT is a structured course for students who are interested to enrol in Mathematical Olympiad training. The course aims to build a strong foundation in Mathematical Olympiad topics and equips students with the necessary skills needed to tackle Mathematical Olympiad questions.

Who can participate in MOT?

MOT is targeted at students aged 9 years and below. Students aged 8 years and below are required to pass a Modular Diagnostic Paper (MDP) in order to enter MOT.  MDP will test topics related to the four operations (+, –, ×, ÷) and simple fractions (equivalent fractions, addition and subtraction of fractions). This is to ensure that students have the necessary foundation to be able to cope in MOT. The duration of the MDP is 1½ hour, chargeable at $20.

Entry age for new students

Join before TERM 3

Age  Pre-requisite Course to enter

If your child is

8 years old or younger MDP MOT 1
9 years old MOT 2

Join in TERM 3

Age Pre-requisite Course to enter

If your child is

7 years old or younger MOT 1
8 years old MDP MOT 2
9 years old NMOS 1

Join after TERM 3

Age Pre-requisite Course to enter

If your child is

7 years old or younger MDP MOT 1
8 years old MDP MOT 2
9 years old NMOS 1

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Primary 5 — Important Preparation Year for PSLE

17 May

Primary 5 is a crucial year for PSLE preparation.

(Though we did receive pupils coming in P6 which was especially memorable as those students joined us when we started at Bedok; I really enjoyed teaching them  and was relieved and happy that they did very well.)

As much as possible, we would also teach pupils all the key concepts that is essential for Primary6.

By this time, the students would be taught more advanced methods and not rely only on bar models and guess and check method, which may not be efficient for solving complex PSLE problems.

Thank you for your encouragement

30 Apr

Over the years, I have parents calling us with nice words of appreciation.

Such words, make teaching a joy. Their  encouragement tells us that we are doing the right thing — doing this work.

Some have emailed me, but this is the first time I have a parent penned her thoughts in such detail. Thank You.

Although it smacks of self promotion, i hope the parent doesn’t mind and readers would find it alright. I have removed all names.

Here is the letter:

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We value a happy & inspiring environment

13 Apr

If you have read a number of our blog entries, you will know that we care about creating a happy and inspiring environment for children to learn in.

Children already spend long hours in school and most of them have many other activities. So when they make the effort to come to our classes, we must put more thoughts into how we can conduct lessons in a way that is effective, motivating and an overall good learning experience for them.

I write this to remind our instructors that I value this dearly. As I openly state this, we have to live up to it.

I appreciate feedback from parents on how our lessons are conducted. I will work with our instructors to make improvements and corrections whenever necessary. Do give me a call if you need to talk to me.

Persis

Marcel (The Mathematician) and Einstein (The Physicist)

26 Mar

So we know Einstein had a great friend and helper Marcel Grossmann.

Read more: http://www-history.mcs.st-andrews.ac.uk/Biographies/Grossmann.html

In August 1912, Einstein arrived back at the Eidgenössische Technische Hochschule in Zürich having been appointed to the chair of theoretical physics. He was struggling to extend his special theory of relativity to include gravitation and immediately began collaborating with his old friend Grossmann. It was Grossmann who pointed out to him the relevance to general relativity of the tensor calculus which had been proposed by Elwin Bruno Christoffel in 1864, and developed by Gregorio Ricci-Curbastro and Tullio Levi-Civita around 1901. Einstein, who previously had played down the importance of mathematics, was quickly convinced by Grossmann’s expert explanations. Einstein wrote to Arnold Sommerfeld on 29 October 1912:-

I am now working exclusively on the gravitation problem and believe that I can overcome all difficulties with the help of a mathematician friend of mine here [Marcel Grossmann]. But one thing is certain: never before in my life have I toiled any where near as much, and I have gained enormous respect for mathematics, whose more subtle parts I considered until now, in my ignorance, as pure luxury. Compared with this problem, the original theory of relativity is child’s play.

Special honour is Given to Marcel:

Finally we should mention the honour given to Marcel Grossmann by naming the series of conferences, the Marcel Grossmann Meetings (on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories). These conferences, begun in 1975, are international meetings held every three years, which provide opportunities for discussing recent advances in gravitation, general relativity and relativistic field theories. They emphasise mathematical foundations, physical predictions and experimental tests.

Here he acknowledged Grossman in his notebook:

http://www.pitt.edu/~jdnorton/teaching/GR&Grav_2007/Einstein’s_Zurich_Notebook.html

Maths Questions!!

25 Mar

Hi everyone!!
We have a new section dedicated for challenging maths and IQ questions. Solutions will be posted a few days after the questions is posted. Click on the “Maths Questions” link on top of the page to view the questions.

Have fun trying!!