Book donation drive to help low-income families (Singapore)

Do you have any old textbooks that you don’t need anymore? Check out a meaningful way to share a textbook by NTUC.

Source: NTUC Website

Photo: FairPrice Share-A-Textbook 2014 is officially launched! Show your support by donating your textbooks at any FairPrice stores (including Finest supermarkets, Xtra hypermarkets and FairPrice Xpress stores at Esso service stations). Collection closes 7 December 2014.

FairPrice Share-A-Textbook 2014 is officially launched! Show your support by donating your textbooks at any FairPrice stores (including Finest supermarkets, Xtra hypermarkets and FairPrice Xpress stores at Esso service stations). Collection closes 7 December 2014.


Featured book:

Math Doesn’t Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail

From a well-known actress, math genius and popular contestant on “Dancing With The Stars”—a groundbreaking guide to mathematics for middle school girls, their parents, and educators

Sum of Cubes (A Maths Tuition)

What is tested for A Maths (Additional Maths) Exam

Just to share an A Maths question that is likely to come out for 2014 A Maths Exam. It is the brand new topic just added this year: Sum and difference of cubes.

\boxed{\alpha^3+\beta^3=(\alpha+\beta)(\alpha^2-\alpha\beta+\beta^2)}

\boxed{\alpha^3-\beta^3=(\alpha-\beta)(\alpha^2+\alpha\beta+\beta^2)}

Attached below is a practice question on Alpha Cube+Beta Cube question that may be likely to come out this year! After all, if it is just added in the syllabus it is highly likely that they will test it.

Alpha Beta Cube Question

Good luck for the exam!


Maths Tuition

For Mathematics Tuition, contact Mr Wu at:

Email: mathtuition88@gmail.com

Tutor profile: About Tutor


Featured book:

Math Doesn’t Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail

 

A Maths List of Formula to Remember

Are you looking for a list of Additional Mathematics (A Maths) Formulas to remember?

Check it out at: https://mathtuition88.com/math-notes-worksheets-sale/

Updated to include: Supplementary Angles, Complementary Angles, and Half Angle Formulas for Trigonometry

Remember, memorizing the formula is not enough. We need to know how to apply and use the formula! (The next level is to know how to derive the formulas, but that will not be tested in the exams. 🙂 )


Featured book:

Math Doesn’t Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail

Do you really really hate Math? Is it your most dreaded subject?

Why not learn to love Math as it is pretty much a compulsory subject until high school? Read this book, it may change your mindset about Math. From a well-known actress, math genius and popular contestant on “Dancing With The Stars”—a groundbreaking guide to mathematics for middle school girls, their parents, and educators

Kinematics

Distance = Speed x Time

Time = Distance / Speed

Speed = Distance / Time

Distance-time graph

Speed = gradient

Remember Formula Using Units E.g.

Units of speed = km/h

Units of gradient = km/h

Speed-time graph

Distance travelled = Area under graph

Acceleration = gradient

Remember Formula using Units: E.g.

Units of distance = m

Units of area under graph = (m/s)s=m

Units of acceleration = m/s^2

Units of gradient = (m/s)/s=m/s^2

Useful Formula:

Area of trapezium = 1/2 x height x (sum of parallel sides)

The formula rhymes! 🙂

100 Chicken and Rabbit Questions and Answers

Questions: (Answers Below)

Generated using: Chicken and Rabbit Question Generator

Q1) A farmer has 35 chickens and cows in total.
He counted 108 legs altogether.
How many chickens and how many cows are there?

Q2) A farmer has 45 ducks and horses in total.
He counted 140 legs altogether.
How many ducks and how many horses are there?

Q3) A farmer has 6 chickens and cows in total.
He counted 20 legs altogether.
How many chickens and how many cows are there?

Q4) A farmer has 24 chickens and horses in total.
He counted 70 legs altogether.
How many chickens and how many horses are there?

Q5) A farmer has 33 chickens and horses in total.
He counted 84 legs altogether.
How many chickens and how many horses are there?

Q6) A farmer has 23 ducks and rabbits in total.
He counted 86 legs altogether.
How many ducks and how many rabbits are there?

Q7) A farmer has 31 chickens and cows in total.
He counted 96 legs altogether.
How many chickens and how many cows are there?

Q8) A farmer has 26 ducks and cows in total.
He counted 98 legs altogether.
How many ducks and how many cows are there?

Q9) A farmer has 25 chickens and rabbits in total.
He counted 80 legs altogether.
How many chickens and how many rabbits are there?

Q10) A farmer has 29 ducks and horses in total.
He counted 84 legs altogether.
How many ducks and how many horses are there?

Q11) A farmer has 24 chickens and horses in total.
He counted 62 legs altogether.
How many chickens and how many horses are there?

Q12) A farmer has 28 ducks and cows in total.
He counted 76 legs altogether.
How many ducks and how many cows are there?

Q13) A farmer has 27 chickens and cows in total.
He counted 104 legs altogether.
How many chickens and how many cows are there?

Q14) A farmer has 34 chickens and cows in total.
He counted 112 legs altogether.
How many chickens and how many cows are there?

Q15) A farmer has 39 chickens and cows in total.
He counted 124 legs altogether.
How many chickens and how many cows are there?

Q16) A farmer has 35 ducks and rabbits in total.
He counted 84 legs altogether.
How many ducks and how many rabbits are there?

Q17) A farmer has 30 chickens and rabbits in total.
He counted 76 legs altogether.
How many chickens and how many rabbits are there?

Q18) A farmer has 33 chickens and rabbits in total.
He counted 96 legs altogether.
How many chickens and how many rabbits are there?

Q19) A farmer has 31 ducks and cows in total.
He counted 68 legs altogether.
How many ducks and how many cows are there?

Q20) A farmer has 30 ducks and cows in total.
He counted 106 legs altogether.
How many ducks and how many cows are there?

Q21) A farmer has 11 ducks and horses in total.
He counted 26 legs altogether.
How many ducks and how many horses are there?

Q22) A farmer has 31 chickens and cows in total.
He counted 120 legs altogether.
How many chickens and how many cows are there?

Q23) A farmer has 46 ducks and cows in total.
He counted 150 legs altogether.
How many ducks and how many cows are there?

Q24) A farmer has 21 chickens and horses in total.
He counted 66 legs altogether.
How many chickens and how many horses are there?

Q25) A farmer has 55 ducks and horses in total.
He counted 164 legs altogether.
How many ducks and how many horses are there?

Q26) A farmer has 44 ducks and rabbits in total.
He counted 120 legs altogether.
How many ducks and how many rabbits are there?

Q27) A farmer has 36 ducks and cows in total.
He counted 94 legs altogether.
How many ducks and how many cows are there?

Q28) A farmer has 20 chickens and rabbits in total.
He counted 48 legs altogether.
How many chickens and how many rabbits are there?

Q29) A farmer has 37 ducks and cows in total.
He counted 128 legs altogether.
How many ducks and how many cows are there?

Q30) A farmer has 15 ducks and rabbits in total.
He counted 34 legs altogether.
How many ducks and how many rabbits are there?

Q31) A farmer has 25 chickens and cows in total.
He counted 90 legs altogether.
How many chickens and how many cows are there?

Q32) A farmer has 12 ducks and rabbits in total.
He counted 46 legs altogether.
How many ducks and how many rabbits are there?

Q33) A farmer has 47 ducks and cows in total.
He counted 150 legs altogether.
How many ducks and how many cows are there?

Q34) A farmer has 20 ducks and cows in total.
He counted 54 legs altogether.
How many ducks and how many cows are there?

Q35) A farmer has 45 ducks and rabbits in total.
He counted 132 legs altogether.
How many ducks and how many rabbits are there?

Q36) A farmer has 18 ducks and horses in total.
He counted 48 legs altogether.
How many ducks and how many horses are there?

Q37) A farmer has 17 chickens and horses in total.
He counted 64 legs altogether.
How many chickens and how many horses are there?

Q38) A farmer has 48 ducks and rabbits in total.
He counted 154 legs altogether.
How many ducks and how many rabbits are there?

Q39) A farmer has 37 chickens and horses in total.
He counted 106 legs altogether.
How many chickens and how many horses are there?

Q40) A farmer has 23 ducks and horses in total.
He counted 46 legs altogether.
How many ducks and how many horses are there?

Q41) A farmer has 34 chickens and cows in total.
He counted 92 legs altogether.
How many chickens and how many cows are there?

Q42) A farmer has 20 chickens and rabbits in total.
He counted 58 legs altogether.
How many chickens and how many rabbits are there?

Q43) A farmer has 31 ducks and cows in total.
He counted 118 legs altogether.
How many ducks and how many cows are there?

Q44) A farmer has 26 ducks and rabbits in total.
He counted 96 legs altogether.
How many ducks and how many rabbits are there?

Q45) A farmer has 23 ducks and horses in total.
He counted 84 legs altogether.
How many ducks and how many horses are there?

Q46) A farmer has 34 chickens and horses in total.
He counted 80 legs altogether.
How many chickens and how many horses are there?

Q47) A farmer has 51 ducks and cows in total.
He counted 156 legs altogether.
How many ducks and how many cows are there?

Q48) A farmer has 18 chickens and horses in total.
He counted 50 legs altogether.
How many chickens and how many horses are there?

Q49) A farmer has 8 chickens and horses in total.
He counted 18 legs altogether.
How many chickens and how many horses are there?

Q50) A farmer has 45 ducks and cows in total.
He counted 124 legs altogether.
How many ducks and how many cows are there?

Q51) A farmer has 28 chickens and horses in total.
He counted 100 legs altogether.
How many chickens and how many horses are there?

Q52) A farmer has 21 ducks and cows in total.
He counted 66 legs altogether.
How many ducks and how many cows are there?

Q53) A farmer has 19 ducks and rabbits in total.
He counted 70 legs altogether.
How many ducks and how many rabbits are there?

Q54) A farmer has 45 ducks and cows in total.
He counted 132 legs altogether.
How many ducks and how many cows are there?

Q55) A farmer has 17 chickens and rabbits in total.
He counted 48 legs altogether.
How many chickens and how many rabbits are there?

Q56) A farmer has 28 chickens and cows in total.
He counted 86 legs altogether.
How many chickens and how many cows are there?

Q57) A farmer has 41 chickens and cows in total.
He counted 122 legs altogether.
How many chickens and how many cows are there?

Q58) A farmer has 21 ducks and rabbits in total.
He counted 68 legs altogether.
How many ducks and how many rabbits are there?

Q59) A farmer has 11 chickens and rabbits in total.
He counted 30 legs altogether.
How many chickens and how many rabbits are there?

Q60) A farmer has 29 chickens and horses in total.
He counted 116 legs altogether.
How many chickens and how many horses are there?

Q61) A farmer has 24 chickens and cows in total.
He counted 52 legs altogether.
How many chickens and how many cows are there?

Q62) A farmer has 39 chickens and rabbits in total.
He counted 130 legs altogether.
How many chickens and how many rabbits are there?

Q63) A farmer has 23 ducks and rabbits in total.
He counted 54 legs altogether.
How many ducks and how many rabbits are there?

Q64) A farmer has 30 ducks and cows in total.
He counted 104 legs altogether.
How many ducks and how many cows are there?

Q65) A farmer has 16 ducks and horses in total.
He counted 32 legs altogether.
How many ducks and how many horses are there?

Q66) A farmer has 19 chickens and rabbits in total.
He counted 50 legs altogether.
How many chickens and how many rabbits are there?

Q67) A farmer has 52 chickens and cows in total.
He counted 156 legs altogether.
How many chickens and how many cows are there?

Q68) A farmer has 33 chickens and rabbits in total.
He counted 108 legs altogether.
How many chickens and how many rabbits are there?

Q69) A farmer has 55 ducks and rabbits in total.
He counted 168 legs altogether.
How many ducks and how many rabbits are there?

Q70) A farmer has 38 chickens and horses in total.
He counted 112 legs altogether.
How many chickens and how many horses are there?

Q71) A farmer has 42 ducks and rabbits in total.
He counted 110 legs altogether.
How many ducks and how many rabbits are there?

Q72) A farmer has 26 ducks and horses in total.
He counted 60 legs altogether.
How many ducks and how many horses are there?

Q73) A farmer has 39 ducks and rabbits in total.
He counted 104 legs altogether.
How many ducks and how many rabbits are there?

Q74) A farmer has 36 chickens and rabbits in total.
He counted 86 legs altogether.
How many chickens and how many rabbits are there?

Q75) A farmer has 14 chickens and cows in total.
He counted 38 legs altogether.
How many chickens and how many cows are there?

Q76) A farmer has 37 chickens and cows in total.
He counted 128 legs altogether.
How many chickens and how many cows are there?

Q77) A farmer has 39 ducks and cows in total.
He counted 102 legs altogether.
How many ducks and how many cows are there?

Q78) A farmer has 54 ducks and cows in total.
He counted 158 legs altogether.
How many ducks and how many cows are there?

Q79) A farmer has 20 chickens and rabbits in total.
He counted 74 legs altogether.
How many chickens and how many rabbits are there?

Q80) A farmer has 47 ducks and rabbits in total.
He counted 134 legs altogether.
How many ducks and how many rabbits are there?

Q81) A farmer has 25 chickens and rabbits in total.
He counted 70 legs altogether.
How many chickens and how many rabbits are there?

Q82) A farmer has 42 ducks and horses in total.
He counted 136 legs altogether.
How many ducks and how many horses are there?

Q83) A farmer has 41 ducks and rabbits in total.
He counted 128 legs altogether.
How many ducks and how many rabbits are there?

Q84) A farmer has 10 ducks and cows in total.
He counted 20 legs altogether.
How many ducks and how many cows are there?

Q85) A farmer has 34 ducks and horses in total.
He counted 116 legs altogether.
How many ducks and how many horses are there?

Q86) A farmer has 28 chickens and cows in total.
He counted 78 legs altogether.
How many chickens and how many cows are there?

Q87) A farmer has 12 ducks and rabbits in total.
He counted 32 legs altogether.
How many ducks and how many rabbits are there?

Q88) A farmer has 26 chickens and horses in total.
He counted 82 legs altogether.
How many chickens and how many horses are there?

Q89) A farmer has 20 ducks and cows in total.
He counted 70 legs altogether.
How many ducks and how many cows are there?

Q90) A farmer has 42 ducks and cows in total.
He counted 128 legs altogether.
How many ducks and how many cows are there?

Q91) A farmer has 15 ducks and cows in total.
He counted 42 legs altogether.
How many ducks and how many cows are there?

Q92) A farmer has 46 chickens and horses in total.
He counted 132 legs altogether.
How many chickens and how many horses are there?

Q93) A farmer has 23 chickens and horses in total.
He counted 46 legs altogether.
How many chickens and how many horses are there?

Q94) A farmer has 27 ducks and cows in total.
He counted 98 legs altogether.
How many ducks and how many cows are there?

Q95) A farmer has 40 ducks and horses in total.
He counted 134 legs altogether.
How many ducks and how many horses are there?

Q96) A farmer has 35 chickens and horses in total.
He counted 122 legs altogether.
How many chickens and how many horses are there?

Q97) A farmer has 24 chickens and horses in total.
He counted 96 legs altogether.
How many chickens and how many horses are there?

Q98) A farmer has 22 ducks and rabbits in total.
He counted 80 legs altogether.
How many ducks and how many rabbits are there?

Q99) A farmer has 11 chickens and cows in total.
He counted 36 legs altogether.
How many chickens and how many cows are there?

Q100) A farmer has 26 chickens and horses in total.
He counted 60 legs altogether.
How many chickens and how many horses are there?

Answers:
Q1) chickens=16
cows=19

Q2) ducks=20
horses=25

Q3) chickens=2
cows=4

Q4) chickens=13
horses=11

Q5) chickens=24
horses=9

Q6) ducks=3
rabbits=20

Q7) chickens=14
cows=17

Q8) ducks=3
cows=23

Q9) chickens=10
rabbits=15

Q10) ducks=16
horses=13

Q11) chickens=17
horses=7

Q12) ducks=18
cows=10

Q13) chickens=2
cows=25

Q14) chickens=12
cows=22

Q15) chickens=16
cows=23

Q16) ducks=28
rabbits=7

Q17) chickens=22
rabbits=8

Q18) chickens=18
rabbits=15

Q19) ducks=28
cows=3

Q20) ducks=7
cows=23

Q21) ducks=9
horses=2

Q22) chickens=2
cows=29

Q23) ducks=17
cows=29

Q24) chickens=9
horses=12

Q25) ducks=28
horses=27

Q26) ducks=28
rabbits=16

Q27) ducks=25
cows=11

Q28) chickens=16
rabbits=4

Q29) ducks=10
cows=27

Q30) ducks=13
rabbits=2

Q31) chickens=5
cows=20

Q32) ducks=1
rabbits=11

Q33) ducks=19
cows=28

Q34) ducks=13
cows=7

Q35) ducks=24
rabbits=21

Q36) ducks=12
horses=6

Q37) chickens=2
horses=15

Q38) ducks=19
rabbits=29

Q39) chickens=21
horses=16

Q40) ducks=23
horses=0

Q41) chickens=22
cows=12

Q42) chickens=11
rabbits=9

Q43) ducks=3
cows=28

Q44) ducks=4
rabbits=22

Q45) ducks=4
horses=19

Q46) chickens=28
horses=6

Q47) ducks=24
cows=27

Q48) chickens=11
horses=7

Q49) chickens=7
horses=1

Q50) ducks=28
cows=17

Q51) chickens=6
horses=22

Q52) ducks=9
cows=12

Q53) ducks=3
rabbits=16

Q54) ducks=24
cows=21

Q55) chickens=10
rabbits=7

Q56) chickens=13
cows=15

Q57) chickens=21
cows=20

Q58) ducks=8
rabbits=13

Q59) chickens=7
rabbits=4

Q60) chickens=0
horses=29

Q61) chickens=22
cows=2

Q62) chickens=13
rabbits=26

Q63) ducks=19
rabbits=4

Q64) ducks=8
cows=22

Q65) ducks=16
horses=0

Q66) chickens=13
rabbits=6

Q67) chickens=26
cows=26

Q68) chickens=12
rabbits=21

Q69) ducks=26
rabbits=29

Q70) chickens=20
horses=18

Q71) ducks=29
rabbits=13

Q72) ducks=22
horses=4

Q73) ducks=26
rabbits=13

Q74) chickens=29
rabbits=7

Q75) chickens=9
cows=5

Q76) chickens=10
cows=27

Q77) ducks=27
cows=12

Q78) ducks=29
cows=25

Q79) chickens=3
rabbits=17

Q80) ducks=27
rabbits=20

Q81) chickens=15
rabbits=10

Q82) ducks=16
horses=26

Q83) ducks=18
rabbits=23

Q84) ducks=10
cows=0

Q85) ducks=10
horses=24

Q86) chickens=17
cows=11

Q87) ducks=8
rabbits=4

Q88) chickens=11
horses=15

Q89) ducks=5
cows=15

Q90) ducks=20
cows=22

Q91) ducks=9
cows=6

Q92) chickens=26
horses=20

Q93) chickens=23
horses=0

Q94) ducks=5
cows=22

Q95) ducks=13
horses=27

Q96) chickens=9
horses=26

Q97) chickens=0
horses=24

Q98) ducks=4
rabbits=18

Q99) chickens=4
cows=7

Q100) chickens=22
horses=4

Primes and prime factorisation

Prime numbers are numbers that only have two factors, one and itself.

Examples of prime numbers are 2, 3, 5, 7, 11, 13, ….

Note: 1 is NOT a Prime number!!

Perfect squares and perfect cubes

For a perfect square’s prime factorisation, each factor is to the power of a multiple of 2.

For a perfect cube’s prime factorisation, each factor is to the power of a multiple of 3.

HCF & LCM

HCF, or Highest Common Factor, is the greatest common factor between two numbers.

LCM, or Lowest Common Multiple, is the smallest common multiple between two numbers.

Laws of Indices

Check out: Indices and Logarithm Laws

Featured Image -- 2381

O Level Exam Dates

Source: http://www.seab.gov.sg/examCalendar.html

Please double-check with the above source for confirmation!

(TENTATIVE) Registration
School Candidates

 

 

Mon, 24 February – Fri, 7 March

 

 

Private Candidates

Mon, 10 March – Tue, 25 March

 

 

Oral Examination

 

EL

 

 

Thu, 14 August – Thu, 28 August

 

 

CL / ML / TL

Fri, 4 July – Fri, 18 July

 

 

CL / ML (Special Programme)

Mon, 11 August – Tue, 12 August

 

 

Arabic as 3rd Language / Bahasa

Indonesia as 3rd Language

Mon, 11 August – Wed, 13 August

 

 

CLB / MLB / TLB (Mid-Year)

Thu, 3 July

 

 

CLB / MLB / TLB (Year-End)

Fri, 26 September

 

 

Foreign Languages

Tue, 30 September – Tue, 7 October

 

 

Listening Comprehension (LC)

 

CL / ML / TL

 

 

Tue, 22 July

 

 

CLB / MLB / TLB (Mid-Year)

Tue, 22 July

 

 

Practical Examination

 

Science

 

 

Tue, 7 October – Thu, 16 October

 

 

Music Performing

 

 

Tue, 23 September – Thu, 25 September

 

 

Written Examination

 

Mid-Year CL/ML/TL Exam

 

 

Mon, 2 June

 

 

Mid-Year CLB/MLB/TLB Exam

Tue, 3 June

 

 

End of Year Exam

Mon, 20 October – Fri, 14 November

 

 

Differentiation Rules

Today, we will recap the four basic rules of Differentiation:

  • Differentiating Powers of x

\displaystyle\frac{d}{dx}x^n=nx^{n-1}

(Power comes down, and the remaining power reduced by 1)

  • Chain Rule (i.e. times differentiate inside the bracket)
  • Product Rule

\displaystyle\frac{d}{dx}(uv)=u\frac{dv}{dx}+v\frac{du}{dx}

(Keep the first term X differentiate the second, PLUS keep the second term X differentiate the first)

  • Quotient Rule

\displaystyle\frac{d}{dx}(\frac{u}{v})=\frac{v\frac{du}{dx}-u\frac{dv}{dx}}{v^2}

(Keep the bottom term differentiate the top MINUS keep the top differentiate the bottom, whole thing over v^2)

JC Cut Off Points (Latest)

Joint Admissions Exercise 2014

Source: http://nanyangjc.org/index.php/joint-admissions-exercise-2014/

Cut Off & Bonus Points

Applicants applying to enter NYJC must meet the entry criteria based on the L1R5 aggregate.For JAE, this aggregate is calculated from results obtained in the previous year’s Singapore-Cambridge GCE ‘O’ Level Examinations.Please note that the entry criteria changes from year to year and the following table should only be used as a guide.

MINIMUM L1R5 AGGREGATE [after bonus points deduction]

FACULTY ARTS SCIENCE
JAE 2013 8 8

Source: http://www.ajc.edu.sg/admission/admission_jae.html

AJC Cut Off Points:

FACULTY ARTS SCIENCE
JAE 2013 8 10

100,000 views on WordPress

We have reached 100,000 views on our WordPress.com site: http://mathtuition88.com

100000views

Sincere thanks to all the viewers and supporters! We will continue to post information about Mathematics, Education and General Knowledge on this website.

Subscribe to our free newsletter, for updates on Math, Education and other General Knowledge topics!

Enter your email address to follow this blog and receive notifications of new posts by email.

Probability Formula

Formulae for Probability

Works for All Cases:

  1. P(A∪B)=P(A)+P(B)-P(A∩B)

  2. P(A|B)=\displaystyle\frac{P(A\cap B)}{P(B)}

  3. P(A’)=1-P(A)


For Mutually Exclusive Events Only:

  1. P(A∩B)=0

Mutually Exclusive
Mutually Exclusive


For Independent Events Only:

  1. P(A∩B)=P(A) P(B)

  2. P(A|B)=P(A)

  3. P(B|A)=P(B)

  4. P(A’∩B)=P(A’) P(B)

  5. P(A∩B’)=P(A) P(B’)

  6. P(A’∩B’)=P(A’) P(B’)

NUS Past Year Paper

This is a list of websites related to NUS Past Year Paper:

1) Official NUS Past Year Exam Paper website: http://libguides.nus.edu.sg/content.php?pid=227106&sid=1896904

2) NUS Physics Society Past Year Paper: http://physics.nus.edu.sg/~physoc/pyp.html

3) NUS Maths Society Past Year Paper: http://www.nusmathsociety.org/pyp.html

COE Quota: Math Formula

Applications of Math in Real Life: COE Quota

Source: http://en.wikipedia.org/wiki/Certificate_of_Entitlement

The Formula for COE Quota is:

\begin{align} (\text{Total COE Quota})_{qy} = &g.(\text{Motor vehicle population})_{y-1}  \\ &+ (\text{Projected de-registrations})_{y} \\&+ (\text{Unallocated quota})_{qy-1} \end{align}

Quote: In the formula above, the subscript y denotes calendar year and the subscript qy denotes quota year (May to April). Initially, projected deregistrations for (calendar) year y were simply taken to be equal to actual deregistrations in y-1 but from quota year 1999-2000 onwards, a projected number of deregistrations has been used.

Each year, the quota is set to allow for a targeted g percent growth in the total motor vehicle population, plus additional quota licenses to cover the number of motor vehicles that will be deregistered during the (calendar) year, plus any unallocated quota licenses from the previous quota year.

Read more at: http://en.wikipedia.org/wiki/Certificate_of_Entitlement

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

all science teachers crazy maths tuition

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: right angled triangle 90-x

  • \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

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?

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.

 

How to Get First Class Honours

Check out this site on How to Get First Class Honours at:

http://anythingthatinterestsme.blogspot.sg/2010/05/how-to-get-first-class-honours-in.html

I agree with most of the points in the post. I actually read this post before I even graduated, and it motivated me a lot. Hope that you will find it motivational too.

Most importantly, do not be overly stressed out by your goals. Life is a marathon, not a sprint, university is just a small aspect of your entire life. Enjoy your studies while in university, and it is more useful to develop life long skills like independent learning, teamwork and time management skills.

Meanwhile, you may like to check out the following posts:

The Lesson of Grace in Teaching (Motivational Post about Learning and Teaching)

JC Subject Combination

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

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/


Free Exam Papers (Primary) (Java samples)

http://www.java-samples.com/testpapers/index.php

Excellent website for downloading free exam papers for primary level. Highly recommended.

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


Which Secondary School to Choose?

After receiving PSLE results, the next question would be: Which Secondary School to Choose?

Choosing the right secondary school is a big decision that will impact the next 4 (or more) years of life. And, the school with the highest PSLE Cut Off Points, may or may not be the best fit. Most important is to choose a school with a conducive learning environment so that the student can excel and perform to his/her fullest potential.

Read more information about that on the following websites:

1) PSLE: Top 3 things to remember when choosing a secondary school

(http://www.straitstimes.com/breaking-news/singapore/story/psle-top-3-things-remember-when-choosing-secondary-school-your-child-2)

2) Guide to Selecting a Secondary School for your child

(http://www.kiasuparents.com/kiasu/content/guide-selecting-secondary-school-your-child)

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.

Read more at: http://www.techaddiction.ca/children-addicted-to-computer-games.html

PSLE Cut Off Point

Also check out: Recommended Books for GEP

PSLE Cut Off Point

Check out the following websites to determine the PSLE Cut Off Point for various secondary schools.

1) Source 1: http://www.post1.net/biow/entry/2012_psle_cutoff_points_to_2013_secondary_1

2) Source 2: http://forums.sgclub.com/singapore/secondary_school_ranking_453171.html


Featured book:

Becoming a Problem Solving Genius: A Handbook of Math Strategies


 

S/N Planning Area PSLE cut-off for Non-Affiliated Schools Secondary School (Aggregate Range of 2012 Primary 6 pupils posted to 2013 Secondary 1) Type 2013 Sec1 Express (Lower) 2013 Sec1 Express (Upper) 2013 Sec1 Express (Median) 2013 Sec1 Normal (A) Lower 2013 Sec1 Normal (A) Upper
. 1 BUKIT TIMAH NANYANG GIRLS’ HIGH SCHOOL * GIRLS 265 280
. 2 CENTRAL RAFFLES GIRLS’ SCHOOL (SECONDARY) GIRLS 263 280
. 3 BISHAN RAFFLES INSTITUTION CO-ED 263 284 266
. 4 BUKIT TIMAH HWA CHONG INSTITUTION CO-ED 261 277 264
. 5 BUKIT TIMAH NATIONAL JUNIOR COLLEGE CO-ED 259 272 261
. 6 KALLANG DUNMAN HIGH SCHOOL CO-ED 256 278 260
. 7 JURONG WEST RIVER VALLEY HIGH SCHOOL CO-ED 256 282 259
. 8 ANG MO KIO CHIJ ST. NICHOLAS GIRLS’ SCHOOL * GIRLS 253 268 254
. 9 BUKIT TIMAH METHODIST GIRLS’ SCHOOL (SECONDARY) * GIRLS 252 267 255
. 10 TOA PAYOH CEDAR GIRLS’ SECONDARY SCHOOL GIRLS 251 272 253

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.


Limited time offer: FREE Amazon Audiobooks!
Try Audible and Get Two Free Audiobooks

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
English Chinese Abb.
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

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

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

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.

How to Remember Trigonometric Special Angles easily using Calculator

How to Remember Special Angles easily using Calculator

Step 1: Type the expression into calculator, eg. \sin (\frac{\pi}{3}) (in radian mode, for this case)

Step 2: You will get 0.8660254038. Square the Answer. (Ans^2)

Step 3: You will get 3/4. That means \sin (\frac{\pi}{3})=\frac{\sqrt{3}}{2}

No more aircon for independent schools

Read more at: Funding cuts for top independent schools in Singapore

Chinese word of the day: 心静自然凉 (“When the mind is still, you will be calm, cool and collected.”)

Source: http://baike.soso.com/v4170229.htm

科学根据

编辑本段

心静,指为人处世、待人接物、幽居独处时的一种自然、平和的心态。心静自然凉,本义是说心里平静,内心自然凉快。后用来指在遇到问题、困难、挫折时,放平心态,以一颗平常心去处理生活中的问题。俗话说“心静自然凉”,说明人的主观感觉有一定的作用。最近,日本兵库县西宫市协立脑神经外科医院医师小山哲男和美国学者通过实验,为这一现象找到了一定科学依据。   小山医师以10名美国男女为实验对象,为把灼热的痛苦传给大脑,用小金属片给接受实验者的腿肚子施以热的刺激。如果是15秒的间隔,开始信号之后用48摄氏度热刺激,如果是30秒的间隔,开始信号之后用50摄氏度的热刺激,如此反复多次,让接受实验者在大脑中记住刺激的类型。
然后,改变刺激类型,过15秒间隔让接受实验者接受50摄氏度的热刺激,同时,用磁共振成像装置调查大脑活动的情况。结果发现,和隔30秒时施以50摄氏度的热刺激相比,大脑中的感情区域活动低下。研究人员询问接受实验者的痛苦感并量化分析之后,发现痛苦感约减少30%。  小山医师说,这一实验结果在某种程度上证明了“心静自然凉”的感觉。注射前医生对患者说不疼,是一种有科学根据的止痛法。这一成果已发表在美国《全国科学院学报》上。

含义

编辑本段

天气燥热,人会产生一系列负面情绪,比如烦躁不安等等,正所谓天气会影响人的心情,研究表明,对人体最适宜的温度是15摄氏度左右。 大家都明白,吵架的人都是脸红脖子粗的,紧张不安的人会出汗也会感觉比较热,本来嘛,谁在炎热的天气下会感觉舒服呢,恐怕一个个都是眉头紧锁吧,但反过来,如果让自己有些烦躁的心平静下来呢,这样可以起到降低血压等等作用。 更重要的是,把自己的注意力从炎热的天气上转移到其他可以让人感到平静愉快的事物上来,注意力转移了,自然就没那么“热”了!类似于爱因斯坦的相对论,心里的微妙变化完全可以改变人对外界事物的感知。

Online Base Converter Program for all bases

The Base Converter: Convert Base to any Base Program

Using this online javascript program (written by me a long time ago), we can convert a number to any base we desire.

Hope you have fun playing with this app!

For instance, let choose the number 88, and see what it is in different bases

In base 2: 1011000

Base 3: 10021

Base 4: 1120

Base 5: 323

Base 6: 224

Base 7: 154

Base 8: 130

Base 9: 107

Base 10: 88

Base 11: 80

Base 12: 74

Base 13: 6A

Base 14: 64

Base 15: 5D

Base 16: 58

Also, Learn how to convert bases manually

Six top independent schools in Singapore, including Hwa Chong Institution, have had their funding cut

Source: http://www.straitstimes.com/breaking-news/singapore/story/funding-cuts-top-independent-schools-spore-20140203

            Six top independent schools in Singapore, including Hwa Chong Institution, have had their funding cut and, along with other mission schools, have been told to moderate fund-raising activities for campus upgrading. — ST FILE PHOTO: ALPHONSUS CHERN
By Sandra Davie Senior Education Correspondent

Six top independent schools in Singapore have had their funding cut and, along with other mission schools, have been told to moderate fund-raising activities for campus upgrading.

In addition, they will have to comply with a new directive urging all schools with air-conditioned classrooms to install fans and use air-conditioning only when necessary.

The six schools rank among the top in the Singapore education scene, comprising the Raffles secondary schools and its junior college, Hwa Chong Institution, Anglo-Chinese School (Independent) and NUS High School of Mathematics and Science.

They all run both the Integrated Programme (IP) and Gifted Education Programme (GEP). The IP provides a seamless secondary and junior college education with students bypassing the O levels. The GEP caters to students in the top 1 to 2 per cent of their cohort.

Continue reading at: http://www.straitstimes.com/breaking-news/singapore/story/funding-cuts-top-independent-schools-spore-20140203

JC Results Release

Source: http://www.moe.gov.sg/media/press/2014/01/posting-results-2014-jae-and-jpsae.php

Posting Results For The 2014 Joint Admissions Exercise (JAE) and Joint Polytechnic Special Admissions Exercise (JPSAE)

1The Ministry of Education (MOE) will release the posting results for the 2014 Joint Admissions Exercise (JAE) and the Joint Polytechnic Special Admissions Exercise (JPSAE) on Wednesday, 5 February 2014, at 8.00 am.Applicants can obtain their posting results via the following channels:

2JAE

  • The JAE-Internet System (JAE-IS) is accessible through the JAE website at http://www.moe.gov.sg/education/admissions/jae; and
  • Short Messaging System (SMS) text messages sent to the mobile phone number provided by the applicant during registration.

3JPSAE

4Applicants posted to a Junior College (JC) or the Millennia Institute (MI) should report to these institutions on Thursday, 6 February 2014, at 7.30 am. Applicants posted to a Polytechnic or Institute of Technical Education (ITE) course will receive further instructions via an enrolment package from the respective institutions by mail.

5Appeals

6Applicants who wish to appeal for a transfer to another JC or the MI should approach the institution of their choice directly.