Logic puzzle: Which octopus is telling the truth?

Source: http://math.stackexchange.com/questions/677495/logic-puzzle-which-octopus-is-telling-the-truth?newsletter=1&nlcode=97485%7cd140

King Octopus has servants with six, seven, or eight legs. The servants with seven legs always lie, but the servants with either six or eight legs always tell the truth.

One day, four servants met. The blue one says, “Altogether, we have 28 legs.” The green one says, “Altogether, we have 27 legs.” The yellow one says, “Altogether, we have 26 legs.” The red one says, “Altogether, we have 25 legs.”

What is the colour of the servant who tells the truth?

Read the discussion at: http://math.stackexchange.com/questions/677495/logic-puzzle-which-octopus-is-telling-the-truth?newsletter=1&nlcode=97485%7cd140

Snooze button good or bad? (Education, Productivity Tip)

The snooze button – one of life’s luxuries. But is it really helping you out, or making you more tired?

sin(180-x)

Trigonometry Identities

Negative angles:

$\sin (-x)=-\sin x$
$\boxed{\cos (-x)=\cos x}$ (Still Positive!)
$\tan (-x)=-\tan x$

Reason: $-x$ is in the “C” quadrant so Cosine is still positive.

Supplementary angles:

$\boxed{\sin (180^\circ -x)=\sin x}$ (Still positive!)
$\cos (180^\circ -x)=-\cos x$
$\tan (180^\circ -x)=-\tan x$

Reason: $180^\circ -x$ is in the “S” quadrant so Sine is still positive.

Complementary angles:

$\sin (90^\circ -x)=\cos x$
$\cos (90^\circ -x)=\sin x$
$\tan (90^\circ -x)=\cot x$

Reason:

$\sin (90^\circ -x)=\cos x=a/c$
$\cos (90^\circ -x)=\sin x=b/c$
$\tan (90^\circ -x)=\cot x=a/b$

Which Secondary school is the best in Singapore

Due to too many secondary schools, we can only list a few here at the start. There may be other secondary schools that can be the best in Singapore. Do feel free to add your own school and vote for it below!

Also feel free to leave any comments as to why the secondary school you choose is the best in Singapore. (We are not just looking at academic results, any valid reason like CCA, school atmosphere can be accepted.)

Also, check out: Which JC is the best in Singapore?

Which JC is the best in Singapore?

Feel free to leave any comments as to why you think your JC is the best in Singapore 🙂

Also, check out: Which Secondary school is the best in Singapore

Math games

Check out this site on Math games: http://www.coolmath-games.com/

It has a lot of free Math games to help you work on your arithmetic skills.

A recommended game is “Count Cubes”: http://www.coolmath-games.com/0-countcubes/index.html

This game really helps in visualisation skills, further more Counting Cubes is a legitimate question that can come out in PSLE.

Hope you have fun trying out the game.

JC Subject Combination

Check out our posts related to JC Subject Combination:

1) What is the Difference between H1 Mathematics, H2 Mathematics and H3 Mathematics?

2) Maths Skills to be a Good Lawyer

3) Maths Skills to be a Doctor

4) The ideal Singapore JC subject combination for applying to Medicine

Logarithm rules and Indices rules

Two page helpsheet and formula list regarding Logarithm rules and Indices rules, with common mistakes to avoid:

Logarithm and Indices Rules

Free exam papers 2012

Check out our post on Free exam papers 2012 at:

https://mathtuition88.com/free-exam-papers

Foot of perpendicular from point to plane

Check out our posts on Foot of perpendicular from point to line / plane:

1) Foot of Perpendicular (from point to line)

2) Foot of Perpendicular (from point to plane)

Maths Group Tuition at Bishan: E Maths and A Maths

https://mathtuition88.com/group-tuition/ https://mathtuition88.com/

Maths Tuition @ Bishan starting in 2014.

Secondary 4 O Level E Maths and A Maths.

Patient and Dedicated Maths Tutor (NUS Maths Major 1st Class Honours, Dean’s List, RI Alumni)

Email: mathtuition88@gmail.com

Free Exam Papers: https://mathtuition88.com/free-exam-papers/

Valentine’s Day Math

Check out this site at: http://blog.wolframalpha.com/2010/02/12/computing-valentines-day-with-wolframalpha/#comment-103489

Computing Valentine’s Day with Wolfram|Alpha

Draw nice heart shape formulas with Math Equations at Wolfram Alpha!

Free Exam Papers (A Level) (A Level Maths)

http://www.a-levelmaths.com/

Personally crafted free Maths practice Question Sets for all students/educators (A Level Maths Resource Site)

Back to Main Free Exam Papers Page: https://mathtuition88.com/free-exam-papers/

Free Exam Papers (A Level) (Teach JC Math)

http://teachmejcmath-sg.webs.com/exampapers.htm

JC H2 Maths Prelim Free Exam Papers

Back to Main Free Exam Papers Page: https://mathtuition88.com/free-exam-papers/

Free Exam Papers (Secondary) (Recent papers)

https://sites.google.com/a/moe.edu.sg/2011sec3f/files/e-math-prelim-papers-other-schools

A treasure trove of E Math Prelim Papers (very recent papers)

Back to Main Free Exam Papers Page: https://mathtuition88.com/free-exam-papers/

Free Exam Papers (Secondary) (10 Sets)

http://mathprelimpapers.wordpress.com/

10 Sets of Prelim Free Exam Papers (A Maths)

Back to Main Free Exam Papers Page: https://mathtuition88.com/free-exam-papers/

Free Exam Papers (Secondary) (Siglap)

https://sites.google.com/a/moe.edu.sg/mathsdept-siglapsec/sec4e5ndownloads

Siglap Secondary Maths Free Exam Papers

Back to Main Free Exam Papers Page: https://mathtuition88.com/free-exam-papers/

Free Exam Papers (Primary) (Test paper info)

http://test-paper.info/

Click on “Test Paper Database ” on the Left Navigation Panel. Many exam papers in PDF format. Login is necessary though.

Back to Main Free Exam Papers Page: https://mathtuition88.com/free-exam-papers/

What to do if your child is addicted to computer games

Just to share an interesting article on Computer Games addiction, a relevant article in today’s society. Like cigarettes, video games can cause rapid brain dopamine release. How Computer Games affects studies is twofold: Firstly, an hour spent playing computer games means an hour less devoted to studies. Secondly, the rapid dopamine release from computer games desensitises dopamine receptors in the brain, making everyday activities like studying and even eating less enjoyable. Personally, I have played games like DOTA, League of Legends, Warcraft, Maplestory in the past, hence I have experienced the addictive effects of computer games. An advice would be to replace the time playing computer games with other more healthy hobbies like exercise, reading, or even taking a nap would be better for the health.

Source: http://www.techaddiction.ca/children-addicted-to-computer-games.html

By Dr. Brent Conrad – Author of “How to Help Children Addicted to Video Games – A Guide for Parents” (instantly download today and get free email support)

Today, almost all children play video games in one form of another (91% to be exact in this particular study). These games are played on computers, game consoles, cell phones, and handheld devices. Everywhere you find children you will also find computer games, and the fascination with electronic entertainments are almost as popular with girls as compared to boys.

Although most parents would be quite happy if their child’s computer gaming was limited to educational programs, the reality is that the computer games children play are primarily for pure entertainment, not for education.

NUS Cut Off Point

Check out our article about NUS Cut Off Point at https://mathtuition88.com/2013/11/13/a-level-marksgrade-required-to-enter-nus/

Which JC is good?

Which JC to choose / Which JC is good?

Choosing a JC is a big decision that would impact the next 2 years of a student’s life. It is important not to choose a JC based on JC Cut Off Points alone. Lower JC Cut Off Points just means that JC is popular and has many people wanting to enter it, it does not mean it is better. Our tutor attended RJC, one of the top JCs in Singapore, yet he can honestly say that in terms of teaching, RJC may not be significantly better than other JCs. Most of the effort and work put in needed to ace the exams depends on the student himself, no matter which JC you attend. A suitable tutor will be helpful in clarifying doubts and teaching tips and tricks not taught in school.

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Listen to Audiobooks while in the bus / MRT to boost your GP (General Paper) results!

The thing about elite top JCs is that they tend to teach extra material that is out of the syllabus. While this is good for general knowledge, it actually means that you are mostly on your own (rely either on self-study or tuition) to study the stuff that are actually examined in the A level syllabus, since it is less emphasized in school.

Do consider factors like the school environment, location, and your studying preferences when choosing a JC. Although Singapore is small, traveling across the island by public transport can take up to 4 hours a day (to and fro), which can be better used for study or even rest.

If you are looking for JC tuition (subjects other than Math, e.g. GP Tuition), check out this highly recommended tuition agency: StarTutor.

Discussion forums on which JC to choose:

1) http://sgforums.com/forums/2297/topics/387741?page=1/

2) http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=40&t=30903‎

Popular posts on JCs:

Featured Book:

A Is for Admission: The Insider’s Guide to Getting into the Ivy League and Other Top Colleges

This book is for those who aim to enter the Ivy League like Harvard, Princeton, or Yale after JC! Highly rated on Amazon. Even if not considering studies abroad, it may be a good read to learn about the mechanics for this type of school admissions.

Junior colleges (JC) (Source: http://en.wikipedia.org/wiki/List_of_schools_in_Singapore#Junior_colleges_.28JC.29)

These offer two-year courses leading to the GCE A-level examination.

Code	Zone	College name			Established	Address	Type	Special programmes
Code	Zone	English	Chinese	Abb.	Established	Address	Type	Special programmes
0705	North	Anderson Junior College	安德逊初级学院	AJC	1984	4500 Ang Mo Kio Avenue 6	Government
7001	West	Anglo-Chinese School (Independent) IB World School	英华中学 (自主)	ACS(I)-IBDP	2004 (IBDP)	121 Dover Road	Independent	IP, MEP
0803	West	Anglo-Chinese Junior College	英华初级学院	ACJC	1977	25 Dover Close East	Government-aided	MEP, DEP(TSD), LEP (EL)
0802	South	Catholic Junior College	公教初级学院	CJC	1975	129 Whitley Road	Government-aided	LEP (EL)
3101	East	Dunman High School	德明政府中学	DHS	2005 – IP	10 Tanjong Rhu Road	Autonomous	IP, MEP, BSP, LEP (CL), AEP
0806	Central	Hwa Chong Institution	华侨中学	HCI	1974	661 Bukit Timah Road	Independent	IP, HP, LEP (CL), AEP, BSP
0713	North	Innova Junior College	星烁初级学院	IJC	2005	21 Champions Way	Government	LEP (ML)
0703	West	Jurong Junior College	裕廊初级学院	JJC	1981	800 Corporation Road	Government	LEP (CL)
0712	East	Meridian Junior College	美廉初级学院	MJC	2003	21 Pasir Ris Street 71	Government
0908	West	Millennia Institute	励仁高级中学	MI	2004	60 Bukit Batok West Avenue 8	Government	DTP
0805	North	Nanyang Junior College	南洋初级学院	NYJC	1978	128 Serangoon Avenue 3	Government-aided	LEP (CL), AEP
0712	Central	National Junior College	国家初级学院	NJC	1969	37 Hillcrest Road	Government	IP, HP, AEP, MEP, STaR
7801	West	NUS High School of Mathematics and Science	新加坡国立大学附属数理中学	NUSHS	2005	20 Clementi Ave 1	Independent	IP, DIP
0711	West	Pioneer Junior College	先驱初级学院	PJC	1999	21 Teck Whye Walk	Government
0704	South	Raffles Institution	莱佛士初级学院	RI	1826	10 Bishan Street 21	Independent	IP, HP, LEP (JL), LEP (EL), MEP, TSD
3103	West	River Valley High School	立化中学	RVHS	1956 2006 – IP	6 Boon Lay Avenue	Autonomous	IP, BSP
0710	North	Serangoon Junior College	实龙岗初级学院	SRJC	1988	1033 Upper Serangoon Road	Government
0804	South	Saint Andrew’s Junior College	圣安德烈初级学院	SAJC	1978	55 Potong Pasir Avenue 1	Government-aided
0709	East	Tampines Junior College	淡滨尼初级学院	TPJC	1986	2 Tampines Avenue 9	Government	LEP (ML), TSD
0702	East	Temasek Junior College	淡马锡初级学院	TJC	1977	22 Bedok South Road	Government	IP, HP, LEP (CL), MEP
0706	East	Victoria Junior College	维多利亚初级学院	VJC	1984	20 Marine Vista	Government	IP, HP, TSD, NAV
0708	North	Yishun Junior College	义顺初级学院	YJC	1986	3 Yishun Ring Road	Government

Group Tuition at Bishan

Maths Group Tuition at Bishan

5 Tips on How to improve for Maths (Primary, O Level, A Level)

Firstly, make sure that you do sufficient practice, especially for past year papers. Sometimes, students may think that they fully understood a topic, but there may be some gaps in their knowledge, which would be overcome by sufficient practice. Check out our site on Free Exam Papers.
Improve accuracy and reduce careless mistakes. Some tips to reduce careless mistakes are double-checking, and write neatly to reduce transfer or reading error. Also, check out our article on reducing careless mistakes.
Ensure adequate understanding. Ensure that each step of the question is being understood, and not relying on “guessing” or pure luck. This will enable the student to solve all similar questions of the same type. Having a good tutor, a study group of friends, or a parent knowledgeable in mathematics helps a lot.
Have a positive attitude about Maths. 🙂 Liking Maths helps a lot in doing well for Maths. Treat Maths like a game or puzzle to be solved, and not as a chore. Congratulate yourself after solving a question correctly, no matter how easy or basic it is. Soon, you will be able to experience the joy of Mathematics.
Finally, try to have a healthy lifestyle. Reduce harmful activities like too much computer games, as these can cause addiction and affect dopamine receptors in the brain, which hamper learning. Exercise and listening to music are good activities for soothing and relaxing the brain.