Mathematics Enrichment Class Session 2

Here are the questions for this week. I find it rather interesting, hope the same goes for you.

1.     When the same whole number is added to both the numerator and denominator of 2/5 , the value of the new fraction is 2/3 . What number was added to both the numerator and denominator?

2.     When the same whole number is added to both the numerator and denominator of 4/7 , the value of the new fraction is 4/5. What number was added to both the numerator and denominator?

3.     When the same whole number is added to both the numerator and denominator of 2/5, the value of the new fraction is 6/7. What number was added to both the numerator and denominator?

4.     How many two-digit numbers are there in which the tens digit is greater than the ones digit?

5.   How many two-digit numbers are there in which the ones digit is greater than the tens digit?

6.     How many three-digit numbers are there in which the hundreds digit is greater than the tens and the ones digit?

Q5 Solution

Solution for Q5

317+1= 318

318÷2 = 159

159+1 = 160

The number of the very next page is 160.

Q4 Solution





Q3 Solution for Olympiad Training (1)





Solutions for Q2 of Olympiad Training (1)

Solutions for Q1 of Olympiad Training (1)

Solutions

1.         First, find the least common multiple for 6 and 14.

6, 12, 18, 24, 30, 36, 42, 48, …

14, 28, 42, 56, …

The least common multiple is 42.

Then find the least common multiple of 42 and 15.

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, …

42, 84, 126, 168, 210

The least common multiple is 210.

More Angles Activities

Here are more angles activities to deepen your understanding. Please try it out and give me feedback regarding the games.

http://www.bbc.co.uk/keyskills/flash/kfa/kfa.shtml

http://pbskids.org/cyberchase/games/anglemeasurement/anglemeasurement.html

http://www.sums.co.uk/playground/ss4/playground.htm

http://www.mathplayground.com/alienangles.html

Angles

Here are some useful websites for Angles for your reference.
http://www.tjleone.com/a08_name_angles.htm
http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html
http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
http://nlvm.usu.edu/en/nav/frames_asid_127_g_2_t_3.html?open+activities

Butterfly of the Week - Five Bar Swordtail

This week's beautiful butterfly is known as Five Bar Swordtail. It's one of the prettiest butterfly in Singapore and will normally encounter them at the forests. It is a fast flying butterfly and most of the time, before you notice it, it's already far far away. Hope you will like it!

P4 Inc Modular Online Shopping

Nature of store : Fashion

Products to be included (at least 10)

Useful websites :

http://cleocat-fashion.com/

http://www.sgdress.com/
http://p3modularinterspire.com/admin/

You are only given a budget of $1000 to open an online store.  Please constantly check with the EXCEL file (Planning), key in the items, the cost of each item and how many you intend to have.  Make sure the total cost does not exceed $1000.  Have at least 10 items.

Mathematics Enrichment Class Session 1

Here are the questions for today's session. It's alright if you can't do the questions now. I will post some of the facts and website for you to gather more knowledge to help you do these questions.


Q1. 6, 14 and 15 are factors of a whole number. What is the smallest value that this number can be?

Q2. A fisherman sold some big fish at $4 each and twice as many small fish at $1 each. He received a total of  $72 for the big and small fish. How many big fish did he sell?

Q3. A Magic Square has the property that the sum of three numbers in each row, column and diagonal is the same. What is the number at the centre of the Magic Square as shown?

Q4. Mr Tay went to a store and spent half of his money and $14 more. He went to another store and spent one-third of his remaining money and $14 more. Afterwhich he had no money left. How much did he have when he entered the first store?

Q5. When I open my story book, two pages face me and the sum of the page numbers is 317. What is the number of the very next page?

P4 Inc Enrichment starting on Thursday (24 March 2011, 2 pm - 3 pm)

This programme aimed to enhance your Mathematical thinking skills, attitude and alertness so that you could apply these skills into your daily learning.

It will last for a term (6 weeks) starting this Thursday, 24^th March 2011, 2 pm to 3 pm in school.

For the first two weeks, you will be doing some memory and minesweeper games in your computer.

Here are the websites you can try on.

Memory Pattern

http://www.coolmath-games.com/0-patternmemory/index.html

Simon Says

http://www.coolmath-games.com/simonsays/index.html

Minesweeper

http://www.chezpoor.com/minesweeper/minesweeper.html

Minesweeper tutorial

http://blogs.warwick.ac.uk/aknorlund-matthiessen/entry/minesweeper_tutorial/

Let me know how you fare in these games.

Have FUN!

Butterfly of the Week - Common Bluebottle

Sharing with you this beautiful butterfly of Singapore known as Common Bluebottle. You may wonder why it's named bluebottle. If you look at its colours and shape, that might provide the reason. Hope you will like this specie of butterfly.

Websites for Fractions Activities

Multiplication of Fractions

http://www.mathplayground.com/fractions_mult.html

http://www.jamit.com.au/htmlFolder/app1008.html

Improper Fractions and Mixed Numbers

http://www.jamit.com.au/htmlFolder/app1003.html

http://xpmath.com/forums/arcade.php?do=play&gameid=37

http://xpmath.com/forums/arcade.php?do=play&gameid=38

Comparing Common Fractions

http://www.jamit.com.au/htmlFolder/app1005.html

Addition and Subtraction of Fractions

http://www.jamit.com.au/htmlFolder/app1007.html

http://www.sheppardsoftware.com/mathgames/fractions/FruitShootFractionsAddition.htm
http://www.sheppardsoftware.com/mathgames/fractions/FruitShootFractionsSubtraction.htm