Category: e maths group tuition

‘A’ level results release next Monday

2013 GCE ‘A’ Level exam results release next Monday

Read more at: http://www.moe.gov.sg/media/press/2014/02/release-of-2013-gce-a-level-results.php

Release of 2013 GCE ‘A’ Level Examination Results on 3 March 2014

1The results of the 2013 Singapore-Cambridge GCE Advanced Level Examination will be released on Monday, 3 March 2014.

 

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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

 

 

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.

 

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/

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.

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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
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}

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

Recommended Graphics Calculator for JC

Source: http://www.seab.gov.sg/calculatorList/GuidelinesCalculators.pdf

Personally, the calculator I like most is the TI-84 series. There is no big difference between the different TI-84 models, all are good to use.

graphical calculator

Where to buy:

Buying from school is the best option, as often there is a discount. Otherwise, you can buy from a distributor at Bras Basah Complex: Learning InterActive Pte Ltd The Resource Centre Blk 231 Bain Street #04-39 Bras Basah Complex Singapore 180231 (http://li.com.sg/html/li_contactus_details.html)

If your calculator is damaged, do not throw it away, as there is a chance of a trade in (pay around $90 to trade in the old calculator for a new one).

Is there a mathematical reason why chocolate chip cookies have 37% (1/e) chocolate in them?

Source: http://math.stackexchange.com/questions/651823/is-there-a-mathematical-reason-why-chocolate-chip-cookies-have-37-1-e-chocola?newsletter=1&nlcode=97485%7cd140
Someone once briefly explained to me why it is that chocolate chip cookies have 37% chocolate in them. To the best of my memory it has to do with the way trying to place dots in a circle in a random and scattered way behave, which turns out to be 1/e or ≈37.
Chocolate Chip Cookie 37% 1/e

Interesting article for chocolate lovers!

Source: http://math.stackexchange.com/questions/651823/is-there-a-mathematical-reason-why-chocolate-chip-cookies-have-37-1-e-chocola?newsletter=1&nlcode=97485%7cd140

Recommended Maths Tuition Singapore

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

Maths Tuition @ Bishan starting in 2014

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

O Level Tuition

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

E Maths Challenging Question (Workers, Rate and Proportion)

Sometimes, E Maths can seem more difficult than A Maths!

Nevertheless, exposure and practising E Maths questions will make it easier as the student gets used to the problem solving techniques required to solve “tricky” E Maths questions.

Can you solve the following E Maths Problem? 🙂

It takes 8 workers to complete a certain job. The job can be completed 2 days earlier if 8 more workers are added. How many workers are needed if the house has to be completed 3 days earlier?

E Maths Group Tuition at Bishan:

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

https://mathtuition88.com/

Cost of education in Singapore

Source: http://www.epigami.sg/blog/cost-of-education-in-singapore/

How much does it cost to educate a child in Singapore?

Answer: $80,940 or approximately 3 Round-the-World Trips!

Read more at: http://www.epigami.sg/blog/cost-of-education-in-singapore/

Release of O Level Results 2014

Sincerely wishing every student all the best for their O Level Results!

Meanwhile, all Secondary 3 to 4 students should start studying hard for their O Levels. 🙂

It has been many years since the release of my O Level Results. Sincerely wish my students to do well and even surpass me in their O Level Results.

maths-tutor-o-level-cert
Mr Wu’s O Level Certificate (with A1 for both Maths). Mr Wu sincerely wishes his students to surpass him and achieve their fullest potential.

O Level Maths Group Tuition at Bishan

Secondary 3 Students who want to learn Secondary 4 Maths in Advance

Calling all Secondary 3 Students who wish to study Secondary 4 E Maths and A Maths in advance, while revising Secondary 3 topics at the same time!

Join our group tuition at Bishan (https://mathtuition88.com/group-tuition/) !

Highly recommended for Secondary 3 students who are fast learners and wish to learn and get familiarised with Secondary 4 topics as soon as possible.

A typical lesson in our group tuition comprises of revising Secondary 3 topics (which is still important as it takes up almost 40% of the O Level questions), while learning Secondary 4 advanced topics. We will finish the school syllabus by June to start practising Ten Year Series and past year papers.

Start Maths Revision Early for the Best Results!

O Level Group Tuition @ Bishan starting in 2014!

Maths is a subject that requires students to start revision / practice early!

It needs consistent practice and last minute studying is not going to work well!

Many students have the wrong concept that they can start practising questions one or two months before the O Levels. The problem is, without constant practice, the questions from the Ten Year Series would be too difficult for students to even begin attempting the questions! This is especially true for Additional Mathematics. This leads to panic and is not the desired study strategy. This is the main reason why it is possible to score very low (less than 20 marks out of 100) in Maths, if the student does not have solid foundation or has lack of practice. To avoid this scenario, start practicing and revising Maths now! Many students already start studying / learning in advance during the December holidays. January is still a good time to start! As the Chinese proverb states: “一年之计在于春一日之计在于晨”, the best time to begin planning for a task is in Spring.

Also, the current O Level Maths is not like the O Level of the past! Due to higher education standards nowadays, and competition from foreigners (especially China students whose pet subjects are Maths and Chinese), the bell curve for E Maths has shifted very very high. Rumours have it that 90 marks is necessary for a guaranteed A1 in E Maths.

On the bright side, it is very possible to improve in Maths with practice. Look at the Mathematics questions in O Levels, one long question is around 10 marks. Answering that one question correctly will already boost your score by 10 marks. (2 grades). Answering two long questions correctly will boost score by a whopping 20 marks!

Hesitate no longer! Start revising for your Maths now!

O Level Group Tuition @ Bishan starting in 2014!